Plot the remaining data point. 1
2
, 1 , 1
1
4
, 1
1
4
, 1
3
4
, 3 , 3
3
The information you gave was presented as a table with three columns: value, x-coordinate, and y-coordinate.
You would need to make a graph with the x-coordinate acting as the horizontal axis and the y-coordinate acting as the vertical axis in order to plot this data point. The size or colour of the data point would serve as a representation of the value.
Here is an illustration of a data point plot:
[tex]x | 12 | 14 | 14 | 34 \\ y | 1 | 1 | 3 | 3 \\ v | 1 | 1 | 3 | 3[/tex]
The value at the position (12,1) will be 1, the value at the point (14,1) will be 1, the value at the point (14,3) will be 3, and the value at the point (34,3) will be 3. It's vital to remember that the values on the graph can be depicted by many colours or shapes.
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What is a real solution set?
A solution set is the set of all variables or numbers that makes the equation true.
What is a real number solution set?If solving a linear equation leads to a true statement is equal to 0 = 0 the equation is an identity. Its solution set is all real numbers.A solution set is the set of values that satisfy a given set of equations or inequalities. The feasible region of a constrained optimization problem is the solution set of the constraints.
How many real solutions are possible?There are three possibilities for the number of real solutions of a quadratic equation, and those are that a quadratic equation can have no real solutions, exactly one real solution, or exactly two real solutions.Zero is considered to be both a real and an imaginary number.
Now we can find solution set by solving the equation.
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Pleas help me with #2, thanks
Please help me to find the slope
Answer:
Step-by-step explanation:
the formula for the slope is y2 - y1 / x2 - x1
so 1 - 0 / -3 --3/7
on the calculator
- 7 / 18
Kendra used 6 loaves of bread on an 8 day hiking trip. She wants to know how many loaves of bread she should pack for a 12 day hiking trip if she eats the same amount of bread each day.
Answer:
9 loaves of bread
Step-by-step explanation:
We know
8 days = 6 loaves of bread
1 day = 0.75 loaves of bread
12 days = 0.75 x 12 = 9 loaves of bread
So, she should pack 9 loaves of bread for a 12-day hiking trip.
Answer: Kendra will need to back 9 loaves of bread for a 12 day hiking trip.
Step-by-step explanation:
Alright, the first step to solve any math problem is to take a look at the information we have. We know that Kendra has eaten through 6 loaves over the course of 8 days. We want to know how much bread she needs if she takes a 12 day hiking trip.
Because she's eating the same amount of bread each day, we need to find out how much of a loaf she eats daily. In order to find that number, we have to divide. In this case, it would be 6/8. (Amount of bread she has/Time taken to eat that bread).
This gives us 0.75. This means that Kendra eats 0.75 of a loaf of bread daily. In order to find out how much bread she needs for a 12 day hiking trip, all we have to do is multiply by 12.
0.75 * 12 = 9.
Kendra will need to back 9 loaves of bread for a 12 day hiking trip.
P.S. You could also do this with fractions by simplifying 6/8 to 3/4 (divide the numerator and denominator by 2, as they're both divisible by 2), and then multiply like 12 in the same way. They both yield the same answer, so it's a matter of preference. I used decimals as I found them easier to work with!
What is the additive inverse of 6 /- 5 of Class 8?
The additive inverse of 6 /- 5 is 6/5
We know that for any real number 'a' an additive inverse is a number 'b' such that a + b = 0
i.e., b = -a
An additive inverse of 'a' is -a.
The means, an additive inverse is nothing but changing sign + to - OR - to +
Here we have been given a rational number 6/(-5)
Let m be the additive inverse of number 6/(-5)
From the definition of additive inverse,
6/(-5) + m = 0
[6/(-5) + m] - 6/(-5) = -6/(-5)
[6/(-5) - 6/(-5)] + m= -6/(-5) ...........(associative property of addition)
0 + m = 6/5
m = 6/5
Hence, the additive inverse is 6/5
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he cost per pound of chicken is $2. Each serving of chicken is about 4 oz. What will be the portion cost of the chicken
The unit price of the portion of the chicken will be $0.50.
To find the portion cost of the chicken, we need to know how much it costs per ounce, and then multiply that by the number of ounces in a serving.
We can begin by calculating the cost per ounce of chicken by dividing the cost per pound by the number of ounces in a pound:
$2 (cost per pound) ÷ 16 (ounces per pound) = $0.125 (cost per ounce)
Now that we know the cost per ounce, we can find the portion cost of the chicken by multiplying it by the number of ounces in a serving:
$0.125 (cost per ounce) × 4 (ounces per serving) = $0.50
So the portion cost of the chicken is $0.50 . So the answer is
C. $0.50.
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The complete question is-
The cost per pound of chicken is $2. Each serving of chicken is about 4 oz. What will be the portion cost of the chicken?
A. $0.75
B. $2
C. $0.50
D. $0.60
E. $1
the total cost of the airline ticket is $432, including an 8% tax. What was the cost of the ticket before the tax was added?
How do you write an expression in vertex form?
Therefore a quadratic function can be written in vertex form as
y = a(x - h)^2 + k.
Define quadratic function.In mathematics, a polynomial of degree two in one or more variables is referred to as a quadratic polynomial. The polynomial function that a quadratic polynomial defines is known as a quadratic function.
What is a polynomial function?In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.
A quadratic function can be written in vertex form as y = a(x - h)^2 + k
Where (h, k) is the vertex, and a is the leading coefficient.
y = ax^2 + bx + c (standard form)
y = a(x + b/2a)^2 + c - b^2/4a
y = a(x - h)^2 + k where h = -b/2a and k = c - b^2/4a
For example,when y = 3x^2 - 6x - 5
y = 3x^2 - 6x - 5
y = 3(x^2 - 2x) - 5
y = 3(x^2 - 2x + 1 - 1) - 5 = 3(x - 1)^2 - 8
So, the equation is in vertex form y = 3(x - 1)^2 - 8
Note that this only works for parabolas that opens upwards or downwards, if the parabola opens to the sides, the vertex form is y = a(x-h)^2 +k
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Solve the inequality. Graph the solution. -3y<-14
Answer:
y > 14/3
Step-by-step explanation:
-3y<-14
Divided both sides by -3. Because divided by a negative number, the < will switch to the >
y > 14/3
What is the area of right triangle with base 10 cm and height 5 cm?
Answer:25cm
Step-by-step explanation:area of triangle=1/2 × base× height
=1/2×10×5
= 25cm^2
ES = ___ units
Round your answer to the nearest tenth.
Answer:
15
Step-by-step explanation:
It takes 52 yards of fabric to make 8 costumes for the dance recital. How many yards are needed to make one costume?
Make a Ratio Table
(MUST INCLUDE THE TABLE!!)
Total 6.5 yards , fabaric are needed to make one costume for the dance recital.
We have , Total lengths of fabaric present for making costumes = 52 yards
Total number of costumes for the dance recital made from 52 yards = 8
we have to calculate the length of fabaric in yards are used for make one constume .
Let the " x yards " be the fabric length used to make one constume.
Now, total fabric length used to make 8 conatumes = 8x yards
but it will be equals to 52 yards . So, we get a simple linear equation with one variable, i.e
=> 8x = 52
=> x = 52/8
=> x = 6.5
So, the required fabric length is 6.5 yards .
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Data on the fuel consumption y of a car at various speeds x is given. Fuel consumption is measured in mpg, and speed is measured in miles per hour. Software tells us that the equation of the least‑squares regression line is ^ y = 55. 3286 − 0. 02286 x
Fuel consumption is 53.957 miles per gallon for a car moving at a speed of 60 miles per hour using least square Regression .
What is Regression ?A statistical word for models that evaluate the connections between variables is regression. A single dependent variable Y and one or more independent variables X are studied using a linear regression model.
A technique for employing a goodness-of-fit criterion to fit a curve—not necessarily a straight line—through a collection of points. Regression that is most frequently used is linear regression. Recursion is occasionally used interchangeably with the word regression.
Y = mX + b, where X is the predictor (independent) variable, m is the estimated slope, and b is the expected intercept, is the formula for simple linear regression.
Calculation of Fuel Consumption in 60 miles per hour.
given the least square regression line is
y = 55.3286 - 0.02286x
so, y = 55.3286 - 0.02286 * 60 = 53.957 miles per gallon.
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You have $12 to spend at a vending machine. A pack of Starbursts cost $1 and a pack of M&M chocolates cost $2. You want to buy at least three packs of Starbursts.
a. Write a system of linear inequalities that represents this situation.
b. How many packs of each type of candy can you possibly purchase?
Answer:yes
Step-by-step explanation:
yes
Answer:
Starbursts = 12 dollars
M&M = 2 dollars
1. Make Startbursts and M&Ms into "x"
(a) 1x + 2x = 12
2. 3*1= 3
4+2x=12
(b) 4 packs
Calculate $0^5 + (-1)^4$.
The equation 0⁵ + (-1)⁴ involving exponents is solved to get
1
What are exponents in math?The way of representing huge numbers in terms of powers is known as an exponent.
Exponent, then, is the number of times a number has been multiplied by itself. exponents are also referred to as raise to power
When a zero is raised to the power of any number will yield zero zero, this is because when zero keep multiplying itself zeo will be the resulat repeated times
hence for the equation 0⁵ + (-1)⁴ the part that has zero will give zero remaking the part with a negative number
= 0⁵ + (-1)⁴
= (-1)⁴
= -1 * -1 * -1 * -1
= 1 * 1
= 1
hence the answer is 1
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What are the values for the coefficients and constant term of 0 2 3x² 5x?
The coefficient of the expression 3x² is the number 3 and constant term is 20
What are the coefficients?
The coefficients are the numbers on the left side or before each variable.
What is an algebraic expression?
Is a set of numbers and letters that make up an expression that has a meaning, the letters are variables and the numbers are coefficients or independent terms, algebraic expressions can be part of an equation and model mathematical processes.
If the expression of a single term is:. 3x²
Then the only coefficient will be the number that is placed before it and it is:
Number 3
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Hi, I need help finding an ordered pair for the equation x-5y=5?
Answer:
See below
Step-by-step explanation:
Anything that makes the equation true works. For example, you can use the x-intercept (5,0) or the y-intercept (0,-1).
which set of ordered pairs below is a function?
The first and the third set of order pairs is a function.
What is function?
A set of ordered pairs that contain only unique ordered pairs with unique x coordinates is referred to as a function. A function is defined by an equation that generates a set of ordered pairs.
Consider, the given set of order pairs,
I - {(3, 3), (6, 1), (2, 3)}
II - {(4, 7), (2, 8), (4, 2)}
III - {(9, 6), (3, 1), (7, 3)}
We have check which set of ordered pairs above is a function.
Since, a function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate.
In the given order pairs the second order pair contain same x - coordinate.
So, the second order pair is not a function.
Hence, the first and the third set of order pairs is a function.
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Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.
Answer:
Serena paid $194.99 for a game system and then bought two equally-priced games. She spent a total of $284.97.
Step-by-step explanation:
Is x2 16 a perfect square trinomial?
No, x2 16 is not a perfect square trinomial.
What is perfect squares?Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."
A perfect square trinomial is a polynomial of the form a2+2ab+b2, where a and b are constants. This trinomial does not have the same pattern of constant coefficients. It is simply the product of two linear expressions, x2 and 16.
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Can I join Wikipedia?
Yes , you can join Wikipedia as a creator who can help maintain the platform and update the content from time to time. There are also different types of job roles which you can find for Wikipedia .
You can also simply just create an account and start contributing as a member of Wikipedia.
For this the first step would be to select an appropriate username, which will be unique , as this will be used to identify and differentiate you from others. Then you can start contributing to Wikipedia and other Wikimedia projects.
Communicate with other editors via your own talk page. You can also opt in to exchanging emails with other users and thus increase your community.
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Find a polynomial which when added to the polynomial 3x^2+3x-1, is equaivelant to the following expressions: 1
The polynomials which, when added to the polynomial 3x²+3x-1, is equivalent to the following expressions: 1, 2x²-3, and x+5 include the following below:
P = 2 - 3x² -3x.P = -2 -x² -3xP = 6 -2x -3x².What is a Polynomial?This is referred to as algebraic expressions that consist of variables and coefficients.
For 1; it is calculated as:
3x²+3x-1 + P = 1.
P = 2 - 3x² -3x.
For 2x²-3, it is calculated as:
3x²+3x-1 + P = 2x²-3
P = -2 -x² -3x
For x +5; it is calculated as:
3x²+3x-1 + P = x +5
P = 6 -2x -3x².
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The full question is:
Find a polynomial which, when added to the polynomial 3x^2+3x-1, is equivalent to the following expressions: 1, 2x^2-3, and x+5
Please help fast
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second. The height h, in feet, of the rock t seconds after it was thrown can be modeled by the function h(t)=-16t^2 +96t+40. Find the height of rock 4 seconds after it was thrown.
The height of rock 4 seconds after it was thrown is 168 ft.
What is speed?Speed is measured as distance moved over time.
Speed = Distance/ Time.
Here, given that,
we have
a rock is thrown off a bridge 40 feet above a river at an initial velocity of 96 feet per second.
The height h, in feet, of the rock
t seconds after it was thrown can be modeled by the function
h(t)=-16t^2 +96t+40.
where
h -----> is the height in feet of the rock
t -----> the time in seconds
For , t=4, we get,
substitute the value of t in the function and find the value of h
h(4)=-16×4^2 +96×4+40.
So, h= 168
Hence, the height of rock 4 seconds after it was thrown is 168 ft.
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I need help with this question please
The average rate of change is the ratio of the difference between the y coordinates of two points to the x coordinate of the same point.
It can be found by using two points on the graph and substitute into the formula: (y₀ - y₁) / (x₀ - x₁)
The square brackets [] is used to mean the end points as shown is inclusive
What is average rate of change in quadratic equation?A quadratic equation is a polynomial of degree two
The average rate of change here is not constant and is usually specified by the two points to which it is measured
For instance using points (-3, 0) and (0, -1) we have
= (y₀ - y₁) / (x₀ - x₁)
= (-1 - 0) / (0 - (-3))
= -1/3
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Are infinite languages undecidable?
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
Define infinitive.The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.
Here,
Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.
There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).
Thus, undecidability requires an is infinite language but does not prove it.
Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.
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The sixth-grade class is holding a week long fund-raiser. The class set a goal of raising $700. 0. So far they have raised $176. 95. Write an equation that can be used to solve for x, the amount of money the class still must raise to meet their goal
An equation that can be used to find the value of,x=$700.0 - $176.95.
What is an equation ?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
The statement is not an equation if there is no "equal to" sign in it.
According to our question-
x= $700.0 - $176.95
523.05
Hence, An equation that can be used to find the value of,x=$700.0 - $176.95.
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is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by
The scale factor of segment AB was 1.94.
What is scale factor?Scale factor is a number by which a given set of measurements is multiplied in order to increase or decrease the size of the measurements. It can be used to enlarge or reduce the size of an object, image, or diagram. It is a useful tool in many areas of mathematics, including geometry, engineering, and computer graphics.
The scale factor for segment AB can be found by taking the ratio of the lengths of the two segments. To calculate this, use the distance formula to find the length of segment AB and A'B' and set them equal to each other.
The distance formula is: d = √[(x2-x1)^2 + (y2-y1)^2]
The coordinates of A and B are (0, 0) and (6, 9), respectively. The coordinates of A' and B' are (0, 6) and (6, 9), respectively.
For segment AB, the distance formula becomes: d = √[(6-0)^2 + (9-0)^2], which simplifies to d = √[36 + 81], which simplifies to d = √117.
For segment A'B', the distance formula becomes: d = √[(6-0)^2 + (9-6)^2], which simplifies to d = √[36 + 9], which simplifies to d = √45.
The scale factor is then found by taking the ratio of the two distances, √117/√45, which simplifies to √117/3, or approximately 1.94. Therefore, the scale factor of segment AB was 1.94.
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Could someone give me a hand here I’m rlly in a rush I needa get this over with
Answer:
c = √52
Step-by-step explanation:
applying pythagoras theorem: a² + b² = c²
where 'a' and 'b' are legs and 'c' the hypotenuse.
Substitute values:
6² + 4² = c²
c² = 36 + 16
c² = 52
c = √52
A North Dakota license plate has six characters: 3 digits followed by 3 letters (e.g. 123AAA). Any number from 0 to 9 can be used as a digit. Any of the 26 letters from A to Z can be used as a letter.
How many different North Dakota license plates can be issued?
Enter your answer as an integer without commas, like this: 42536475
The number of different North Dakota license plates that can be issued is 17,576,000 plates.
How to find the number of plates issued ?For the first digit, there are 10 possibilities (0 to 9). For the second and third digits, there are also 10 possibilities each. For the first letter, there are 26 possibilities. For the second and third letters, there are also 26 possibilities each.
The total number of different license plates that can be issued is therefore:
= 10 x 10 x 10 x 26 x 26 x 26
= 1, 000 x 17, 576
= 17, 576, 000 different plates
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