What the height would need for this curve to be a density curve is; One-half
How to interpret Density Curves?The criteria for a curve to be a density curve is as follows;
1. The curve must always be non-negative. This tells us that the y-value of the curve must be greater than or equal to 0 at every given point.
2. The area under the curve must always be equal to 1.
Now, we are told that the curve starts at (-2, 0) and then goes to (5, question mark), and then goes down to (6, 0),.
This means that the area under the curve will be a trapezoid that has a height of question mark and then bases of length 3 (from -2 to 5) and length 1 (from 5 to 6).
The area of this trapezoid will be equal to the sum of the bases times the height divided by 2, or:
Area = ((3 + 1) × question mark)/2
Since the area under the curve must be equal to 1, we can set up the equation:
1 = ((3 + 1) × question mark) / 2
Solving for question mark, we will:
The question mark = 2/4
The question mark = 1/2
Therefore, we can conclude that the height of the curve is 1/2
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Parker could pay for 45% of his college tuition with his scholarship. The remaining $10,500 he paid for with a student loan. What was the cost of Parker's tuition? Show your work
The cost of parker's tuition is $19,090.9
How to calculate the cost of parker's tuition?Parker could pay 45% of his college tuition with his scholarship
He paid for the remaining $10,500 with a student loan
Therefore the cost of parker's tuition can be calculated as follows
100% - 45%
= 55%
let y represent the cost of parker's tuition
55y/100= 10500
0.55y= 10500
y= 10500/0.55
y= 19,090.9
Hence Parker tuition cost is $19,090.9
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please assist with helping in the image below!!
What critical value of t* should be used for a 95% confidence interval for the population mean based on a random sample of 15 observations
A 95% confidence interval has a critical value of 1.96, where (1-0.95)/2 = 0.025. The unknown mean's 95% confidence interval is (101.82 - 0.96, 101.82 + 0.96), which translates to (101.82 - 0.96, 101.82 + 0.96) = (100.86, 102.78).
The critical t-value is what?The t-critical value marks the threshold at which the null hypothesis is accepted or disregarded. The null hypothesis is rejected if the t-statistic is closer to 0 than the t-critical value; otherwise, it is retained.
How do we determine the appropriate value of T *?Using a standard t-test and the following formula, you can determine a t-value: t is equal to (X - ц0) / (s / √n), where X is the sample mean, 0 is the population mean, s is the sample standard deviation, and n is the sample size.
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A 95% confidence interval has a critical value of 1.96, where (1-0.95)/2 = 0.025. The unknown mean's 95% confidence interval is (101.82 - 0.96, 101.82 + 0.96), which translates to (101.82 - 0.96, 101.82 + 0.96) = (100.86, 102.78).
The critical t-value is what?The t-critical value marks the threshold at which the null hypothesis is accepted or disregarded. The null hypothesis is rejected if the t-statistic is closer to 0 than the t-critical value; otherwise, it is retained.
How do we determine the appropriate value of T?Using a standard t-test and the following formula, you can determine a t-value: t is equal to [tex](X - ц0) / (s / √n)[/tex], where X is the sample mean, 0 is the population mean, s is the sample standard deviation, and n is the sample size.
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Select all the expressions that are equivalent to 16x - 12- 24x+ 4 16 x − 12 − 24 x + 4. Explain or show your reasoning.
1. 4+16x-12(1+2x)4 + 16 x − 12 ( 1 + 2 x )
2. 40x-1640 x − 16
3. 16x-24x-4+1216 x − 24 x − 4 + 12
4. -8x-8- 8 x − 8
5. 10 (1. 6x - 1. 2 - 2. 4x + 4)
1) 16x - 12(1 + 2x) + 4 is the expression that are equivalent to 16x-12-24x+4.
what is expression?An expression is a mathematical phrase that can contain numbers, variables, and operators. It can be a combination of these elements and can be evaluated to a specific value or a mathematical function.
An expression can be a simple mathematical statement such as 2x+3, or a more complex one involving multiple operations such as
(3x^2 - 4x + 5) / (2x +1). Expressions are used to represent mathematical operations, equations and relations between variables.
so we need to evaluate option 1 :
16x - 12 -24x +4
=> 16x - 12 -24x +4
the above expression is same as the expression mentioned in the question so option 1 is correct.
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Complete question :
Select all expressions that are equivalent to 16x−12−24x+4. Show or explain your reasoning.
1. 16x - 12(1 + 2x) + 4
2. 40x - 16
3. 4 - 12 + (2x - 3x)
4. -8(x+1)
Witch ones do I select
On solving the provided proportionality question we got that, U = 7.72, is rounded off nearest to tenth digit.
What is proportionality?When two quantities or variables are linearly related in mathematics, the term "proportional" is used. Both quantities increase by two times when one increases by two. Each variable decreases in proportion to the other when it falls to 1/100th of its previous value.We must determine the ratio of the two quantities for each value supplied in order to determine if two quantities are proportionate. The proportionate link between them is evident if their proportions are equal. Their connection is not proportionate if all the ratios are out of balance.
Here,
U/5 = 17/11
U = 17/11 X 5
U = 7.72
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how to subtract 3 1/2 - 1/4 as a fraction (I NEED IT TOMORROW)
Answer:
13/4 as an improper fraction
3 1/4 as a mixed number fraction
Step-by-step explanation:
Turn 3 1/2 into an improper fraction
7/2 - 1/4
To write 7/2 as a fraction with a common denominator, multiply by 2/2
7/2 x 2/2 = 14/4
14/4 - 1/4 = 13/4
Jeremy made nine out of twelve basketball shots in P.E. class. What decimal and percent represents the number of shots he made?
Jay and kevin are shoveling the snow off a driveway. working together, they can clear the driveway of snow in 14 minutes. working alone, it would take kevin 21 minutes longer to clear the driveway of snow than it would take jay working alone. when j is the number of minutes it would take jay to clear the driveway of snow when working alone, the situation is modeled by this rational equation: how long would it take jay to clear the driveway of snow working alone?
a. 7 minutes
b. 21 minutes
c. 35 minutes
d. 42 minutes
Therefore, As a result, the answer to the given equation problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.
Define equation .
A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.
Here,
The formula is: 1/j +1/j+ 21 = 11/ 4.
LCM = j+21+j / j(j+21)=1/14
Thus, 2j+21 / j(j+21) = 1/14 is obtained.
14(2j+21) times itself yields j(j+21).
28j+294 expanded to j²+21j
Gather comparable terms
j²+21j-28j-294=0
j²- 7j-294=0
With the use of a graphing calculator, we have:
j = 21 or j= -14
Due to the context,
j's value cannot be negative.
As a result, the answer to the given equation's problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.
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A recipe for 3 people uses 150 g of flour. How much flour is needed to
make the same recipe for 6 people? Give your answer in grams (g).
600 g flour is needed to make the recipe which needs 150 g flour for 3 people, for 6 people.
Given that a recipe for 3 people uses 150 g of flour.
We know that the relation between quantity of flour and number of people for whom recipe will be prepared is directly proportional.
So if the number of people will increase so the quantity of flour will be needed more.
The flour needed to make the recipe for 1 people is = 150/3 = 50 g.
The flour needed to make the recipe for 6 people will be = 50 * 6 = 300 g.
Hence 600 g flour is needed to make the same recipe for 6 people.
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Two alien pacehip tart traveling toward each other from pace tation that are 710,000 km apart. The firt pacehip tarted an hour before the econd pacehip and i traveling at 110,000 km/hr. In how many hour will the two pacehip meet if the econd pacehip i traveling at 90. 000 km/hr?
The two spaceships will meet in 8 hours if the second spaceship is traveling at 90. 000 km/hr.
To calculate the time it will take for the two spaceships to meet, you must use the equation Distance = Rate x Time. Since the first spaceship has a higher rate of speed, it will reach the second spaceship in less time than it would take the second spaceship to reach the first.
This means that the time it takes for the two spaceships to meet will be equal to the time it takes for the first spaceship to travel the distance between the two space stations. We can use the equation to solve for time: Time = Distance/Rate. In this case, the distance is 710,000 km and the rate is 110,000 km/hr, so the time is 6.45 hours.
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How many ways can we put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together
On solving the provided question, we can say that the permutation will bw , N = (4!)(5!)(3!)(3!)= 103,680
what is permutation?The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order. like in the case of.
we can put 3 math books and 5 English books on a shelf if all the math books must stay together and all the English books must also stay together will be , N = (4!)(5!)(3!)(3!)= 103,680
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Which government tax policy is most likely to result in an increase in consumer demand? A - an increase in personal income tax B - a decrease in corporate tax C - a decrease in personal income tax D - an increase in corporate tax
The correct answer is "C" - a decrease in personal income tax is most likely to result in an increase in consumer demand.
Define Tax.Taxes are compulsory payments made by a government organization, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools.
What is VAT?A value-added tax, often referred to as a goods and services tax in some nations, is a kind of tax that is imposed gradually. At every stage of manufacture, distribution, or sale to the final customer, it is added to the cost of a good or service.
There is an increase in consumer demand when personal income taxes are cut because people have more money that they can spend on products and services.
On the other hand, a rise in personal income taxes would reduce the amount of disposable money that consumers have, which will result in a drop in demand from consumers.
In a similar vein, a rise in company tax would result in higher business costs and lower profits, both of which would reduce consumer demand. Conversely, a drop in corporate tax would not directly influence consumer spending.
So the correct answer is C.
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What is dual expression?
The Dual of Boolean Expression is defined as an expression that is obtained by interchanging the addition and multiplication and interchanging the 0's and 1's .
What is a Boolean Expression ?
The Boolean Expression is defined as an logical statement which results in the Boolean value which can either be True or False.
Sometimes, the synonyms is used to express statement such as ‘Yes’ for ‘True’ and ‘No’ for ‘False’. and also, 1 and 0 are used for digital circuits for True , False .
If in the Boolean expression , the addition and multiplication are interchanged and the binary 0 and 1 are also interchanged then the resulting expression will be called as a Dual Of Boolean Expression .
The given question is incomplete , the complete question is
What is Dual Boolean Expression ?
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The local sports team donated 200 meal vouchers and 24 jerseys for a fundraising event. 125 vouchers and 20 jerseys were part of a raffle . The ratio of tickets sold to raffled items was 8:1; each ticket was sold for $3.50. How much money was raised from the raffle
On solving the provided question, we can say that by linear equation $249.67 money was raised from the raffle
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here,
the linear equation that can be formed is
200x + 24 y = 3.50
125 x + 20y = 5
ratio = 8:1
so, $249.67 money was raised from the raffle
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Pls help quickly
Needed as soon as possible thank you in advance
a) Bearing from A to B is 253°.
b) Bearing from B to A is 287°.
What is a bearing?
A bearing is an angle measured clockwise from north in mathematics. Typically, bearings are expressed as a three-figure bearing.
a)
The bearing of 73° and the co-interior angle formed must total 180°. The counter-clockwise angle from B to A is 107°.
However a bearing must always be measured clockwise from north. 107° is counter-clockwise from north.
The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.
To work the bearing, subtract 107° from 360°.
360° – 107° = 253° and so, the bearing of A from B is 253°.
b)
The bearing of 107° and the co-interior angle formed must total 180°. The counter-clockwise angle from A to B is 73°.
However a bearing must always be measured clockwise from north. 73° is counter-clockwise from north.
The clockwise angle on the other side is needed. Use the angle fact that angles in a full turn add to 360°.
To work the bearing, subtract 73° from 360°.
360° – 73° = 287° and so, the bearing of B from A is 287°.
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What are the different types of algorithms?
Different types of algorithms are:
Brute Force algorithm Greedy algorithmRecursive algorithmBacktracking algorithmWhat is Brute Force algorithm?As a very general approach to problem solving and an algorithmic paradigm, brute-force search or exhaustive search—also referred to as generate and test—involves iteratively listing all potential candidates for the solution and determining whether each one satisfies the problem's statement.
A brute-force algorithm would count all integers from 1 to n and determine whether each one divides n without a remainder in order to find the divisors of a natural number n.
For the eight queens puzzle, a brute force method would look at all possible configurations of 8 pieces on the 64-square chessboard and determine whether each queen piece could engage in mutually exclusive attacks for each configuration.
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if a flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches what is the height of the screen?
Draw a picture the in solve for the missing side.
The height of the screen will be;
⇒ h = 28 inches
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
A flat screen television is a rectangle with a 53-invh diagonal and a width of 45 inches.
Here,
The diagonal of the screen television = 53 inches
And, The width of the screen television = 45 inches
Let the height of the television = h
So, By the Pythagoras theorem, we get;
⇒ AC² = AD² + DC²
Where, AC = Diagonal of television.
AD = Height of the television
DC = Width of the television.
Substitute all the values, we get;
⇒ 53² = h² + 45²
⇒ 2809 = h² + 2025
⇒ 2809 -2025 = h²
⇒ h² = 784
⇒ h = √784
⇒ h = 28 inches
Thus, The height of the screen = 28 inches
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OMG PLEASE HELP FAST, Write the equation of the line in fully simplified slope-intercept form.
The equation of the line in the attached graph in slope intercept form is written as
y = -6x + 2How to write the equation of the lineThe slope, m of the linear function is calculated using the points on the graph (1, -4) and (2, -10)
m = (y₀ - y₁) / (x₀ - x₁)
plugging in the values and evaluating
m = (-10 + 4) / (2 - 1)
m = (-6) / (1)
m = -6
equation passing through point (2, -10), using the point slope formula
(y - y₁) = m (x - x₁)
y - (-10) = -6(x - 2)
y + 10 = -6x + 12
rearranging the equation
y = -6x + 12 - 10
y = -6x + 2
The equation of the line in slope intercept form is written as y = -6x + 2
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What is the equation for the linear relationship in slope intercept form?
Answer:
y=1/2x-3
Step-by-step explanation:
y=mx+b
y=1/2x-3
2. Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192. How many hours did he work for each job?
Max mowed the lawns for 6 hours and tutored students for 8 hours.
What is equation modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.
Given is that Max has two part-time jobs. He makes $12 per hour mowing lawns and $15 per hour tutoring students. Over the weekend he worked for a total of 14 hours and made a total of $192.
We can write the system of equations as -
x + y = 14
12x + 15y = 192
Refer to the graph attached. On solving the equation graphically, we get-
x = 6, y = 8
Therefore, Max mowed the lawns for 6 hours and tutored students for 8 hours.
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How do you write log base 10 in Word?
Log<sub>10</sub> is an expression used to represent logarithmic functions with a base of 10. To write log<sub>10</sub> in Microsoft Word, you can use the “Insert Equation” feature.
To access this, select Insert on the top menu bar, followed by Equation. In the new window that appears, select the Greek and Math Symbols tab. In this tab you will find the log<sub>10</sub> symbol that looks like an upside-down “y”. You can then click on the symbol and it will be added to your document.
If you need to type out the equation, you can type “log<sub>10</sub>” and it will automatically be converted to the log<sub>10</sub> symbol. You can also use the shortcut CTRL+Alt+L to insert the log<sub>10</sub> symbol directly into your document.
If you are using a Mac, you can use the shortcut Command+Shift+L. The log<sub>10</sub> symbol is commonly used in mathematics and science, particularly in algebra and calculus. It is used to represent the logarithm of a particular number to the base 10.
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Awatch which loses a half a minute was set to read the correct time at 0445h on Monday. determine the time in 12 hour clock system,the watch will show on the following Friday at 1845h
The Correct answer is 5.50 p.m
ExplanationTime between Monday 0445h and Friday 1845h
= 4 x 24 + 14 = 110h
Time lost = 0.5 x 110
= 55min
Time shown in 12 hour system
1845 – 55 = 1750 h
= 5.50 p.m
What is a 12-hour Clock system?On an analogue clock, the 12-hour clock is most frequently displayed as the digits 1 through 12; on a digital clock, it is typically followed by either a.m. (ante meridiem, Latin for "before noon") or p.m. (post meridiem, Latin for "after noon").
What is a 24-hour Clock system?Digital clocks are more frequently used to display the 24-hour clock, which is printed in a 4-digit format with the first two numbers denoting the hour and the final two denoting the minutes.
No need for a.m. or p.m. is necessary because each time represents one of the 24 hours in a day. For instance, 0300 is the third hour of the day, or 3am; 1400 is the fourteenth hour of the day, or 2pm; and 1830 is the thirty-minute mark after the eighteenth hour of the day, or 6.30pm.
How can we change 12-hour time format into a 24-hour clock format?Children can be taught to add 12 to the hours after noon in order to change a 12-hour clock to a 24-hour one. For instance, 3pm becomes 15:00 since 3 + 12 = 15.
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The time shown on 19:45h Fridays is 06: 55 pm Friday.
What is meant by clock system?A collection of synchronized clocks that can communicate with one another and display the exact same time every single time is known as a clock network or clock system. A constant pulse known as a system clock or system timer aids the computer clock in maintaining accurate time. It keeps track of how many seconds have passed since the epoch and utilizes that information to determine the current date and time.
A piece of electronic equipment inside a computer that continuously emits a high-frequency signal to keep everything in sync. electrical gadget type. a piece of equipment that operates electronically. a computerized time-of-day clock.
Given: Watch loses = 1/2 minute every hour
Time difference = 19: 45 h Friday - US:45 h Monday
=4 days 14 hours
=24 × 4+14 hours
=96+14
=110 hours
Time lost [tex]$= & 144^{55} \times \frac{1}{2} \mathrm{~min} \\[/tex]
= 55 min
Time shown on 19:45h Fridays
= 19: 45 - 0: 55
= 18: 55 h Friday
= 06: 55 pm Friday
Hence, 06: 55 pm Friday
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Can u please help...............
A graph of ΔABC with vertices A(0, 0), B (3, 3), and C (4, 0) and its image after a 90° rotation about the origin is shown in the image attached below.
What is a rotation?In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise to the vertices of triangle ABC (∆ABC), the coordinates of the vertices of the image (∆A′B′C′) are as follows:
(x, y) → (-y, x)
Ordered pair A = (0, 0) → Ordered pair A' = (0, 0)
Ordered pair B = (3, 3) → Ordered pair B' = (-3, 3)
Ordered pair C = (4, 0) → Ordered pair C' = (0, 4)
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During a football game the hawks lost 5 yards due to a penalty and lost 6 yards from a quarterback sack. Write and solve an expression that represents the situation.
An expression that describes the given situation is; Total yards = -6 - 5 and the solution is -11
How to solve basic number problems?
In mathematics, a positive number means we have a plus sign before the number which means if we have +2, it means that there has been a gain of 2 units. In a similar manner, a negative number represents a loss which means that if we have -3, it simply means there is a loss or reduction of 3.
Now, we are told that during a football game, the hawks lost 5 yards due to a penalty and lost 6 yards from a quarterback sack. Thus, using the concept of positive and negative numbers above, we can develop the total number of yards as;
Total yards = -6 - 5
Total yards = - 11 yards
This represents a loss.
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PLEASE HELP ME I DONT UNDERSTAND
Question 1: The Magnolia trees purchased for planting at the school are 3 feet tall. Research shows that these types of trees grow at an average of 3/4 foot per year Some students misunderstood question #1 and wrote the following equations in point-slope form:
a) y − 3 = 3/4(x-0)
b) y - 6 = 3/4(x-4)
c) y - 4.5 = 3/4(x-2)
d) y - 12 = 3/4(x-12)
e) y - 15= 3/4(x-15)
Is point slope form okay to use to find the height of the trees in this problem?
There is one equation that is incorrect.... determine which one? why is it incorrect?
Creat two new equations written in point slope form
The point slope form is not okay to use to find the height of the trees
The incorrect equation is y - 15= 3/4(x-15) The other equations are y - 3.75 = 3/4(x - 1) and y - 4.5 = 3/4(x - 2)How to determine if the point slope form is okay?From the question, we have the following parameters that can be used in our computation:
Initial height of purchase = 3 feet tallAverage rate = 3/4 foot per yearThe point slope form of a linear equation is represented as
y - y₁ = m(x - x₁)
Where
Slope = m
The point slope form does not show the initial value
So, this form is not okay for the required parameters
How to determine the incorrect equationThe slope-intercept form is given as
y = mx + c
Using the given parameters, we have
y = 3/4x + 3
Subtract 3 from both sides
y - 3 = 3/4x
Rewrite as
y - 3 = 3/4(x - 0)
This equation can be rewritten in any of the following forms
a) y − 3 = 3/4(x-0)b) y - 6 = 3/4(x-4)c) y - 4.5 = 3/4(x-2)d) y - 12 = 3/4(x-12)Hence, the incorrect equation is y - 15= 3/4(x-15)
Two new equations written in point slope formWe have the slope-intercept form to be
y = 3/4x + 3
Set x = 1 and 2, and then solve for y
So, we have
y = 3/4 * 1 + 3 = 3.75
y = 3/4 * 2 + 3 = 4.5
So, the equivalent equations are
y - 3.75 = 3/4(x - 1) and y - 4.5 = 3/4(x - 2)
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Solve for x.
x2=14
Responses
x=±18
x equals plus or minus 1 eighth
x=±12
x equals plus or minus 1 half
x=±116
x equals plus or minus 1 sixteenth
x=±2
The solution for x in the equation given as x² = 1/4 is (b) x = ±1/2
How to determine the solution for xFrom the question, we have the following parameters that can be used in our computation:
An equation
The equation as poorly stated in the question is represented as
x2=14
When written properly
We have the following representation
x² = 1/4
Solving further, we need to take the square root of both sides of the equation
So, we have the following representation
√x² = ±√1/4
Evaluate the exponents on the left-hand side
So, we have the following representation
x = ±√1/4
Evaluate the exponents on the right-hand side
So, we have the following representation
x = ±1/2
Hence, the solution is (b) x = ±1/2
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What is Y =- 2 on a graph?
The graph of y is a straight line parallel to the x−axis through the point (0,-2)
Now, According to the question:
What is slope and example?
Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).
The given equation is Y = -2
y = -2 is a line in which all points have the y-value -2. The line has a slope of 0 (horizontal line) since the y-value does not change for any value of x.
The point-intercept form for the equation of a line is:
y = mx + b
We can write y = -2
As y = 0x - 2;
slope = 0, y-intercept = -2
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one leg of a right triangle is 8 cm what could the other length be justify your answer
Answer:
6-L2
10-hypotenuse
Step-by-step explanation:
Pythagorean theorem
100 points + Brainliest Let C represents the cost in dollars and R represents the revenue in dollars. What is the break-even point? Use a table to help if necessary.
C=36x+200
R=76x
Break-even point: (,)
Answer:
(x, {C and/or R}) = (5, 380)
Step-by-step explanation:
You want the break-even point when cost (C) and revenue (R) are given by ...
C = 36x +200R = 76xProfitProfit is the difference between revenue and cost. The break-even point is the point at which profit is zero:
P = R -C
0 = 76x -(36x +200)
0 = 40x -200 . . . . simplify
0 = x -5 . . . . . . . . . divide by 40
x = 5 . . . . . . . . . add 5
The break-even point is at x=5. Revenue and cost are both 380 at that point.
TableIf you prefer to look at these values in a table, you can consider ...
[tex]\displaystyle \begin{array}{ccc}x&C&R\\\cline{1-3}\vphantom{\^B}3&308&228\\4&344&304\\5&380&380\\6&416&456\end{array}[/tex]
We notice that cost and revenue are the same for x=5. They are both 380 for that value of x.
GraphAnother way to find the break-even point is to use a graph to plot cost and revenue on the same vertical axis. The point at which the lines cross is the break-even point. The break-even point coordinates are (5, 380).
Describe a sequence of transformation that maps DOG onto CAT
Sequence of transformation is first moving 5 unit in y axis than mirror image with y axis.
What would you say about the order of the transformations?A particular order of transformational events is referred to as a transformational sequence. This indicates that more than one transformation is handled by a series of transformations, and the order in which they happen is important.
What kind of figure can a series of transformations map onto itself?The line of reflection must pass through the centre point for the figure to map onto itself. The sides of the figure are cut by two lines of reflection. The vertices of the figure are intersected by two lines of reflection. As a result, there are four potential lines of reflection that pass through the center.
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