Answer:
C
Step-by-step explanation:
For a relation to be a function, the ordered pairs do not repeat any of the x values. This is Answer C.
What is the nature of roots of 2x² 3x 5 0?
The nature of the roots of 2x² 3x 5 0 are imaginary, as it is not possible to solve for real numbers.
To solve this equation, we first factor out the coefficients (2 and 5). Factoring out 2 gives us x² + 1.5x + 5 = 0. After that, we solve for x using the quadratic formula:
x
= -1.5 ± √(-1.5² - 4(1)(5)) / 2(1). This is reduced to x = -1.5 9.5 / 2, an imaginary number that cannot be solved using real values. This indicates that the equation's roots are fictitious.
x
= -1.5 ± √(-1.5² - 4(1)(5)) / 2(1)
x = -1.5 ± √9.5 / 2
x = -1.5 ± √(9.5)i / 2
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How do you explain greater than less than equal to?
As per the concept of numbers, the way of explaining the greater than, less than, and equal to are defined below.
The term number in math is referred to an arithmetic value used for representing the quantity and used in making calculations.
Here we have to know that the greater than sign (>) denotes that the number after the more than sign is smaller than the number before the symbol whereas less than sign (<) denotes that the number after the sign is bigger than the number before the sign.
Similarly, to this definition, the term equal defines the number as being equal to each other or it can be used to assign the value to the variable that has been placed on the left-hand side.
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Graph g(x)=2x2−4x−16. find the parabola i have the vertex its (1, - 18) i think help i need too ace this
A graph of the quadratic function g(x) = 2x² - 4x - 16 which shows a parabola with the vertex (1, -18) is shown in the image attached below.
How to determine the equation of a parabola?Mathematically, the standard equation of the directrix lines for any parabola is given by this mathematical expression:
x = a(y - k)² + h or y = a(x - h)² + k.
Where:
h and k are the vertex.x and y represents the coordinates.a represents a point.What are quadratic functions?A quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph, with a maximum exponent of two (2).
In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.
In this scenario, we would use an online graphing calculator to plot the graph of the given quadratic function g(x) = 2x² - 4x - 16 and we can observe that it shows a parabola.
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Need help!!
Maria is making t shirts to sell to earn money for a field trip. She only has enough money to make 25 t-shirts or less. If t represents the number of t shirts, write an equality that represents the situation
Answer: 25 smaller than or equal to t
Step-by-step explanation:
Because we know that she only has enough money to make 25 t-shirts or less, our number 25 will be smaller than or equal to t.
Sienna has 5 3/4 pounds of grapes. She eats 1/8 pound and gives 2 1/2 pounds to her brother.
How many pounds of grapes does Sienna have left?
Answer:
3 1/8 lbs left
Step-by-step explanation:
[tex]5\frac{3}{4} -\frac{1}{8} -2\frac{1}{2}[/tex]
[tex]\frac{23}{4} -\frac{1}{8} -\frac{5}{2}[/tex]
[tex]\frac{46}{8} -\frac{1}{8} -\frac{20}{8}[/tex]
[tex]\frac{46-1-20}{8}[/tex]
[tex]\frac{25}{8}[/tex] lbs
What are the types of continuity of a function?
The types of continuity of a function are: pointwise continuity, uniform continuity, absolute continuity, and uniform convergence.
The types of continuity of a function are: pointwise continuity, uniform continuity, absolute continuity, and uniform convergence. Pointwise continuity means that the function is continuous at each point in its domain. Uniform continuity means that the function is continuous over some larger region. Absolute continuity means that the function is continuous over its entire domain. Finally, uniform convergence means that the function converges to a limit value over a range of values. Pointwise continuity is the weakest form of continuity and uniform convergence is the strongest. All of these types of continuity are important for understanding the behavior of functions and their properties.
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Yin opened a savings account with $3500. The account
earns 8.75% simple interest annually. After how many years will the
balance of the account be $6000? Round to the nearest tenth, if
necessary.
The time required for the balance of the account to be $6000 is 19.5 years.
What is Simple interest?The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.
Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.
As per the information in the question,
Principal amount, p = $3500
Rate, r = 8.75%
End amount = $6000
SI = (p × r × t)/t
6000 = 3500 × 8.75% × t
t = (6000 × 100)/(3500 × 8.75)
t = (600000)/(3500 × 8.75)
t = 19.5 years.
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Help FAST PLEASE......................!!!!!!!!!!!!!!!11
The lines intersect to form a rectangular prism, therefore the plane that is parallel to EFG is BCD. option D
How to find similar objects?We should know that in plane geometry, parallel lines do not intersect and intersecting lines form angles at the points of intersection.
To determine the similarity of the lines, Let us consider the following lines
From the rectangular prism
EF//AB
BC//FG
GH//CD
AD//EH
Each of the lines lies on opposite side of the rectangular prism.
Also, quadrilateral ABCD ≡ Quadrilateral EFGH
In conclusion, the plane that is parallel to EFG is BCD.
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What is the ratio in which point P 1 and 2 divides the join of a 2 and 1 and B 7 and 4?
The ratio in which P (1,2) divides AB at (2,1) and (7,4) is 1:6.
What is ratio?Ratio is the term for the proportion between two or more things in terms of number, amount, or size.
How to calculate ratio?Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data point (A) to another data point (B). This indicates that you are multiplying information A by information B. For instance, your ratio will be 5/10 if A is 5 and B is 10.
Given,
Point P → (1, 2)
Point A → (2, 1)
Point B → (7, 4)
Let m1:m2 be the ration
The formula that is used is:
[tex]x=\frac{m1x2+m2x1}{m1+m2} ; y=\frac{m1y2+m2y1}{m1+m2}[/tex]
Now we have been given the Point P → (1, 2), hence x = 1 and y = 2
Also, (x₁, y₁) = (2, 1) and (x₂, y₂) = (7, 4)
[tex]1=\frac{7m1+2m2}{m1+m2} ; 2=\frac{4m1+m2}{m1+m2}[/tex]
m₁ + m₂ = 7m₁ + 2m₂
0=6m1-m2
m2=6m1
1/6=m1/m2
The ratio in which P divides AB is 1:6.
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How do you solve a binomial expression?
To solve a binomial expression, use the FOIL (First, Outer, Inner, Last) method to multiply the two terms together. Then use the distributive property to simplify the expression and combine like terms.
1.Identify the two terms of the binomial expression and write them in the correct order.
2. Use the FOIL method to multiply the two terms together:
the first term of each binomial is multiplied together first.
Outer: Divide the second term of the second binomial by the first term of the first binomial.
Multiplying the first term of the second binomial by the second term of the first binomial yields the inner product.
Lastly, combine the second terms of each binomial.
3. To make the expression simpler, use the distributive property.
4. Combine like terms, if applicable.
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it took oliva 2 hours to drive 240 miles. at this rate how long does it take to drive 80 miles
Answer:
It takes 1 hour to drive 80mph at the rate Oliva is going
Step-by-step explanation:
What is a horizontal asymptote example?
An example of a horizontal asymptote is when the input values of a function f(x) is significantly large or significantly small.
What is an asymptote?In Mathematics, an asymptote can be defined as a line which the graph of a given function approaches but would never touch. Additionally, the vertical asymptote of a function simply refers to the value of x which makes its denominator equal to zero (0).
What is a horizontal asymptote?In Mathematics, a horizontal asymptote can be defined as a horizontal line (y = b) where the graph of a function approaches the line as the input values approach negative infinity (-∞) to positive infinity (∞).
For instance, we can determine the horizontal asymptote of this function as follows;
y = 3/x
yx = 3
x = 3/y
x = 3/0
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What does ∆ mean in calculus?
Therefore, the Uppercase delta (Δ) in calculus denotes the change of variable.
What is calculus?Calculus is a discipline of mathematics that, in its most basic form, deals with rate of change. As an illustration, suppose you wanted to figure out how fast an automobile would slow down as it approached a stop sign. You may determine that change using calculus. Yes, calculus incorporates movement into math.
Here,
Given: Uppercase delta (Δ)
In math, the uppercase letter delta () typically denotes "change" or "the change."
Consider a scenario where the variable x represents an object's motion.
Consequently, "Δx" denotes "the change in movement." This mathematical interpretation of delta is used by scientists in a variety of scientific fields.
Therefore, the Uppercase delta (Δ) in calculus denotes the change of variable.
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What is the difference between squaring a number and finding the square root of a number?
Therefore, square are results multiplying the number by itself whereas square root component of the number.
What is square root ?
The square root of a number or a root of an equation is the component of the number that results in the original number when multiplied by itself. Exponents are specifically squares and square roots. Consider the number 9. You can write this as or as 3 × 3.
According to the given question:
When you multiply an integer by itself, you get squares.
Alternatively, the square root of an integer is a value that, when multiplied by itself, returns the original value.
This makes both vice-versa approaches.
The square of two is four, for instance, while the square root of four is two.
Therefore , the difference between squaring a number and finding the square root of a number is square are results multiplying the number by itself whereas roots its vice versa.
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How many rows and columns are there in Excel 2006?
There is a limit in Microsoft Excel on the number of rows and columns an Excel file can contain. An Excel file may have upto 256 columns and 65536 rows.
Now, According to the question:
There is a limit in Microsoft Excel on the number of rows and columns an Excel file can contain. An Excel file may have upto 256 columns and 65536 rows.
Excel sheet:-
In Microsoft Excel, a sheet is often called a worksheet. A sheet is a single page that contains its own collection of cells to help you organize your data. There can be many sheets in your Excel document and you can see the sheets listed as tabs along the bottom of your document.
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How do you work out area Grade 6?
On the basis of their sides, we may similarly determine the areas of various shapes like rectangles, parallelograms, triangles, and any polygon.
The space that the object occupies is called the area. It is the area that any shape resides in. We only take into account a square's side length when calculating its area. Since a square's area is equal to the square of each of its equal sides, it is a square.
On the basis of their sides, we may similarly determine the areas of various shapes like rectangles, parallelograms, triangles, and any polygon. Based on the radius or the separation of the surface's outer line from the axis for curved surface objects, the area of the surface is determined.
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How do you do a 3 1 slope?
3 to 1 slope means: there are three horizontal units for every one vertical unit.
How do one find the slope of a graph?The slope is computed mathematically as "rise over run" (change in y divided by change in x).
In accordance with the slope equation, the slope of such a line may be determined by dividing the rise of the line between two positions by the run of the same line between the same two sites.
That is to say,
Determine the coordinates of two locations along the line that one choose.Evaluate the differences in these two positions' y-coordinates (rise).Evaluate the differences in these two locations' x-coordinates (run).In order to calculate the difference in y-coordinates (rise/run or slope), divide it by the difference in x-coordinates."Ratios like 3:1 are used to represent slopes. This indicates that there is a 1 unit (foot or meter) vertical shift, either up or down, for every 3 units (feet or meters) of horizontal distance."
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The complete question is as follows:
How do you do a 3 to 1 slope?
find the length of the arc of the curve from point p to point q. y = 1 2 x2, p −7, 49 2 , q 7, 49 2
The length of the arc of the curve from point p to point q is 14.
The length of the arc is calculated by using the differentiation of the curve expression.
Here we have given that expression y = 1/2 x²
And we need to find the length of the arc from the point P to Point Q.
In order to find the length we have to extract the x values from the given point then we get,
(x1, x2) = (-7, 7)
Here we have the curve of the arc as,
=> y = 1/2 x²
Now, we have to differentiate the expression to find the solution,
=> length of arc = ∫₋₇⁷1/2 x²
=> length of arc = 1/2 ∫₋₇⁷ x²
=> length of arc = 1/2 [2x]₋₇⁷
When we apply the values on x, then we get,
=> length of arc = 1/2 [2(7) - 2(-7)]
=> length of arc = 1/2 [28]
Therefore, the length is 14.
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Look at this system of equations.
-4x + 3y = 8
2x + 5y = -3
What value of b will make this system have the same solution?
by = 2
2x + 5y = -3
b =
In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
What is the best math equation?Euler's identity is considered to be "the finest of equations" in maths classes because it describes an unlikely combination of five mathematical constants. Euler's equation (published by Leonhard Euler in 1755) applies in the case of a perfect fluid.The basic operations involved in arithmetic are addition, subtraction, multiplication, and division. Arithmetic mean (average) = Sum of values/Number of values.In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.The forms commonly encountered are empirical, molecular, structural, and projection formulas. An empirical formula consists of symbols representing elements in a compound, such as Na for sodium and Cl for chlorine, and subscripts indicating the relative number of atoms of each constituent element.A General Rule for Solving Equations
Simplify each side of the equation by removing parentheses and combining like terms.Use addition or subtraction to isolate the variable term on one side of the equation.Use multiplication or division to solve for the variable.x= 9, y= 15
-4x +3y= 8 -----(1)
2x +5y=-3-----(2)
(1) ×2:
-8x +6y= 16 -----(3)
(3) -(2):
-4x +6y -(-8x +6y)= 16 -1
-4x +6y +4x -5y= 15
y= 15
Substitute y= 15 into (1):
-4x +3(15)= 8
-4x+45=8
4x+45-8
4x=37
x=37÷4
x=9
b = 2(9) + 5(15) + 3
b = 13 + 75 + 3 = 91
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Is triangle LMN a right triangle?
It is demonstrated in the following figure itself that △LMN is a right triangle.
What is a right triangle?
A right triangle, also known as a right-angled triangle, right-perpendicular triangle, orthogonal triangle, or formerly rectangle triangle, is a triangle with one right angle, or two perpendicular sides.
The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
A right triangle's hypotenuse is its longest side, its "opposite" side is the one that faces a certain angle, and its "adjacent" side is the one that faces the angle in question.
To describe the sides of right triangles, we utilize specific terminology.
The side opposite the right angle is always the hypotenuse of a right triangle.
So, in the given figure, it is shown that △LMN is a right triangle.
Therefore, it is demonstrated in the following figure itself that △LMN is a right triangle.
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Find the value of x and y in the image below!
Applying the properties of a parallelogram, the values of x and y are:
y = 81°
What are some Properties of a Parallelogram?Opposite angles have equal angle measures.Adjacent angles are supplementary.The shape given is a parallelogram, therefore:
3x = 2x + 33 [opposite angles]
3x - 2x = 33
x = 33
3x + y = 180 [adjacent angles]
Plug in the value of x
3(33) + y = 180
99 + y = 180
y = 180 - 99
y = 81°
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What are the solutions to the quadratic equation 2x² 4x 7?
x=-2+3√2/2 and x=-2-3√2/2 are solutions of the quadratic equation 2x²+4x=7.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given quadratic equation is 2x²+4x=7
Subtract 7 from both sides of the equation.
2x²+4x-7=0
Use the quadratic formula to find the solutions.
x=-b±√b²-4ac/2a
x=-4±√16-4(2)(-7)/2(2)
x=-4±√16+56/4
x=-4±√16+56/4
x=-2±3√2/2
x=-2+3√2/2 and x=-2-3√2/2
Hence, x=-2+3√2/2 and x=-2-3√2/2 are solutions of the quadratic equation 2x²+4x=7.
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When 122 is decreased by five times a number, the result is equal to the number increased by 20. What is the number?.
When 122 is decreased by five times a number, the result is equal to the number increased by 20 so the number is 17 .
Given :
Number :
A number is an arithmetic value used for representing the quantity and used in making calculations.
Let x be the number .
( 122- 5x ) = ( x + 20 )
122 - 5x = x + 20
122 - 6x = 20
122 - 20 = 6x
102 = 6x
divide by 6 on both sides
6x / 6 = 102 / 6
x = 102 / 6
x = 17
Hence the number is 17
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What is the slope of the line 4y 3x 1?
The slope of the line 4y - 3x = 1 is 3/4.
Define slope.A line's slope is the ratio of how much y grows as x grows by a certain amount. You may determine a line's slope by looking at how steep it is or how much y grows as x grows. Anywhere along the line, the slope is uniform. In mathematics, measuring steepness is a common goal. It is obvious that slopes B and C are steeper than slope A. They both stand seven units tall, although slope A is only four. Therefore, it would seem that steepness and height are related.
Given
Equation
4y - 3x = 1
3x added to both sides,
4y = 1 + 3x
Dividing by 4,
y = 3/4x + 1/4
Using slope intercept form,
y = mx + b
m = slope
m = 3/4
The slope of the line 4y - 3x = 1 is 3/4.
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i need help ive been stuck on this forever and i just honestly need help.
The measure of the length AC is 60.
Z = 60
What is a triangle?It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
BY = YC = 50/2 = 25
BX = XA = 42/2 = 21
Now,
XY is parallel to AC.
BX/XY = BA/AC
21/30 = 42/AC
1/30 = 2/AC
AC = 60
Z = 60
Thus,
The length of the AC is 60.
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following this nut 10 exam, you make yourself a giant ice cream sundae. total saturated fat for this meal is 95 grams. based on the 2020 dietary guidelines, what percent of the daily value for saturated fat does this provide? divide 855 grams by 2000 grams and multiply by 100 to find the percent daily value for saturated fat from this meal, which is 43 % (round to the nearest whole number [ > 0.5
Percent of the daily value for saturated fat provided would be 48%
What is Percent Daily Value?
Daily Values are recommendations that specify the amounts of certain nutrients that the average person should obtain each day. Daily Values are only a general guide because they are calculated for the average person who consumes a total of 2,000 calories a day.
If the total saturated fat for the meal is 95 grams, this is equal to 95,000 milligrams of saturated fat.
To find the percent daily value for saturated fat from this meal, we can use the following formula:
percent daily value = (total saturated fat / recommended daily intake) * 100
= (95,000 / 2000) * 100
= 47.5
Rounded to the nearest whole number, the percent daily value for saturated fat from this meal is approximately 48%
This means that this meal provides approximately 48% of the recommended daily intake of saturated fat.
Hence, Percent of the daily value for saturated fat provided would be 48%
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Examine the system of equations.
6x + y = −30,
36x + 6y = 24
Which statement is true about the system of equations?
After solving this system, you get a true statement.
This system has one solution.
If this system were graphed, the lines would be parallel.
The equations in this system have the same y-intercept.
Answer:
C
Step-by-step explanation:
6x + y = - 30
36/6 x + 6/6 y = 24/6
6x + y = -30
6x + y = 4
If this system were graphed, the lines would be parallel, because they have the same slope
anova can be used to test whether more than two population variances are different. group of answer choices true fals
To determine whether there are differences between more than two population variances, utilise anova is True
What is Anova?
A statistical technique called analysis of variance, or ANOVA, divides observed variance data into various components for use in further testing. When there are three or more data groups, a one-way ANOVA is used to find out how the dependent and independent variables are related.
Concept:
One-way ANOVAs are typically used when there are three or more categorical independent groups, although they can also be employed when there are only two groups (but an independent-samples t-test is more commonly used for two groups)
A statistical procedure called Analysis of Variance (ANOVA) is used to examine variations between the means (or averages) of several groups. It is used in a variety of situations to discover whether there are any differences between the means of various groups.
To determine how the values of two categorical factors affect the mean of a quantitative variable, a two-way ANOVA is utilised. When you wish to determine how two independent factors interact with one another to effect a dependent variable, use a two-way ANOVA.
The absence of a difference in means is always the null hypothesis in an ANOVA. The alternative or research hypothesis, which is typically expressed in words rather than mathematical symbols, asserts that the means are not all equal. The research hypothesis involves any difference in means, such as when all four means are different from one another, one mean differs from the other three, two means differ, and so on. All scenarios other than the equality of all means described in the null hypothesis are covered by the alternative hypothesis, as it was previously illustrated.
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A statistical procedure called Analysis of Variance (ANOVA) is used to examine variations between the means (or averages) of several groups. It is used in a variety of situations to discover whether there are any differences between the means of various groups.
To determine how the values of two categorical factors affect the mean of a quantitative variable, a two-way ANOVA is utilised. When you wish to determine how two independent factors interact with one another to effect a dependent variable, use a two-way ANOVA.
What is slope in math?
The slope of a line is the change in the line's y coordinate from its x coordinate.
Determining a line's slopeThe shift from the line's y coordinate to its x coordinate is referred to as the slope of a line. The following mathematical formula is used to express the slope of a line:
Slope: y₂-y₁/x₂-x₁
For instance using the coordinate points(0, 0) and (1, 3), respectively, into the formula to obtain:
Slope = 3-0/1-0
Streamline to have:
Slope = 1/3
Slope = 3
As a result, the slope of the line passing the coordinates is 3.
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What is the quotient 3x2 4x 15 )/( x 3?
Answer:
What is the quotient (3x2 + 4x - 15) ÷ (x + 3)? Summary: The quotient of (3x2 + 4x - 15) ÷ (x + 3) is 3x - 5.
Step-by-step explanation: