What are 3 completed examples for functions?

The function g(x) = 1. 8x2 greater than the average rate is k(x) = 2x^2

How to calculate average rate?

The average rate is a measure of how quickly a quantity changes over a specific period of time. It can be calculated by dividing the change in the quantity by the change in time. The formula for calculating the average rate is:

Average rate = (final value - initial value) / (final time - initial time)

Given a function y, the average rate of change S of y = f(x)  in an interval (Xs, Xf)  will be given by the following equation:

In this problem, we have that:

Interval (1,5), so

Then

S = f(5) - f(1)/4

All options are compared to g(x).

g(5) = 1.8*(5)^2 = 45

g(1) = 1.8*(1)^2 = 1.8

An average rate of change greater than 10.8.

D.=k(x) = 2x^2

k(5) = 2*(5)^2 = 50

k(1) = 2*(1)^2 = 2

Greater than 10.8, this is the answer.

Hence, The function g(x) = 1. 8x2 greater than the average rate is k(x) = 2x^2

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Answer:

24 units²

Step-by-step explanation:

Surface area of a cube = 6a² , where a = the side given

=> 6(2)²

=> 6(4)

=> 24 units²

Hope this helps!

Answer:

2(length) x 2(width) = 4(area of 1 square),

4(area of one square) x 6(there are six sides of a cube) = 24 squared

Answer:

10.3

Step-by-step explanation:

Let the given points be the endpoints of a right triangle.  The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.

The desired distance is found using the Pythagorean theorem:

d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)

The point (2, -4) is reflected across the line y = -1.

The coordinates of the image is (4, -4).

coordinates

Any of a set of numbers used in specifying the location of a point on a line, on a surface, or in space.

Coordinates are a pair of numbers which are used to determine the position of a point or a shape in a 2-dimensional plane. We define the position of a point on a 2D plane using two numbers, called the x-coordinate and the y-coordinate.

Numbers

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

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Answer:

55555555546776546567

Answer:

1/2

Step-by-step explanation:

Did you mean "evaluate?"

Write out the expression

   4x/2x^2

and simplify it:  

    4x            2

---------- = ---------- after reduction

  2x^2           x

Now substitute 4 for x.  We obtain:

2/4 = 1/2

We can solve the inequality to get:

h ≤ -3

And its graph can be seen below.

Here we have the following inequality:

-(1/3)*h ≥ 8

To solve the inequality, we need to isolate h.

So we can multiply both sides by -3 (notice that this will change the sign of the inequality symbol)

So we will get:

-3*(-1/3)*h ≤ -3*h

h ≤ -3

Now to graph this, we need to draw a closed circle at -3, and draw an arrow that gose to the left.

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Answer:

7

Step-by-step explanation:

As we want to find the whole number, and to do so we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

21/3 = 7

The p-value of the test statistic is calculated as follows:

0.6386.

At the null hypothesis, it is tested if the mean is actually of 48.3 miles per gallon, that is:

[tex]H_0: \mu = 48.3[/tex]

At the alternative hypothesis, it is tested if the mean is different of that, hence:

[tex]H_1: \mu \neq 48.3[/tex]

The population standard deviation is known, hence the z-distribution is used to obtain the test statistic.

The equation is given as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which:

The parameters for this problem are given as follows:

[tex]\overline{x} = 48.2, \mu = 48.3, \sigma = \sqrt{6.76} = 2.6, n = 150[/tex]

Hence the test statistic is obtained as follows:

[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{48.2 - 48.3}{\frac{2.6}{\sqrt{150}}}[/tex]

z = -0.47.

The p-value is found using a z-distribution calculator, with a two-tailed test, as we are testing if the mean is different of a value, with z = -0.47, hence it is of:

0.6386.

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The number of hours of practice is 3 x h or 3h.

In mathematics, an expression is a sentence that contains at least one number or variable. Additionally, an expression consists of at least one mathematical operation. There is no equal to sign in an expression.

Given:

Volleyball practice is h hours long. Debbie had 3 volleyball practices last week.

Multiply the number of hours for each practice by the total number of practice to get the expression for the number of practice hours.

The mathematical operation known as multiplication is used to calculate the sum of two or more numbers.

Number of hours of practice

= hours of practice x number of practice

= 3 x h

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Answer:

1/3

Step-by-step explanation:

9 Shirts, 3 are Red

Probability: 3/9

Simplify: 1/3

Answer:

Angle B is 30 degrees

Step-by-step explanation:

Vertical angles are always congruent

Vertical angles are always of same measure. The measure of angle B in this case is evaluated as: [tex]m\angle B = 30^\circ[/tex]

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

They are always of same measure.

We can think about this fact as: "there were two lines overlaying on each other. Then, there was a finite point chosen, from where both decided to rotate by a certain degree. Since angle is measure of rotation, and as vertically opposite sides were equally rotated, so they get same measure:"

Its diagram is attached below. The vertical angles are congruent (denoted by ≅) (which is another way to say that they are of same measure)

Since the angle A and angle B specified in this case are pair of vertical angles, and since measure of angle A = 30 degrees, thus, angle B is also of measure 30 degrees.

The measure of an angle is written by writing small m in its left as:  [tex]m\angle B = 30^\circ[/tex]

Therefore, the measure of angle B in this case is evaluated as: [tex]m\angle B = 30^\circ[/tex]

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Answer:

the answer is a) he was confused the height

Step-by-step explanation:

Answer:

Step-by-step explanation:

(A) He confused the height and the diameter.

Answer:

1.13 ft

Step-by-step explanation:

use the equation then fill in the missing values. when you have your answer round to the nearest thousandths.

Answer:

2.852 • 10⁻⁵

Step-by-step explanation:

Solve for 40(7.13 • 10⁻³)

285.2 • 10⁻³ = 2.852 • 10⁻⁵

A linear graph will have a straight line, whereas a logarithmic graph will have a curved line.

1. Look at the graph and identify the shape of the line.

2. If the line is straight, then the graph is linear.

3. If the line is curved, then the graph is logarithmic.

When looking at a graph, you can tell if it is linear or logarithmic by examining the shape of the line. A linear graph will have a straight line, whereas a logarithmic graph will have a curved line. This is due to the fact that a linear graph is plotted by plotting the points of a linear equation, whereas a logarithmic graph is plotted by plotting the points of a logarithmic equation. The linear equation is of the form y = mx + b, where m is the slope of the line and b is the y-intercept. The logarithmic equation is of the form y = logb(x), where b is the base of the logarithm. Thus, the shape of the line will depend on the form of the equation used to plot the graph. If the line is straight, then it is a linear graph, and if it is curved, then it is a logarithmic graph.

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Answer: Yes

Step-by-step explanation:

a right triangle is ... 9, 12, 15, 40, 41. 10, 24, 26. 12, 16, 12, 35, 37. 14, 48, 50. 15, 20, 25. 15, 36, 39. 16, 30, 34. 18, 24,  21, 29, 28, 35, 32, 40. 27, 36, 45. 40, 50

One angle of a triangle measure 140°. The other two angles are in a ratio of 3:5.The smaller angle would measure 84°, and the larger angle would measure 56°. This can be found through the use of basic trigonometry.

A triangle is a three-sided polygon with three angles that add up to 180°. Since one of the angles is already known, the remaining two angles can be calculated by subtracting 140° from 180°, which equals 40°. This 40° can then be divided by the ratio 3:5, which is 8° and 32°.

If 8° is the smaller angle, then 32° must be the larger angle. To convert 8° and 32° to the final answer of 84° and 56°, 8° must be multiplied by 10 and 32° must be multiplied by 5. This gives a total of 84° and 56° for the other two angles.

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One angle of a triangle measures 140°. The other two angles are in a ratio of 3:5. What are the measures of that two angles?

Answer:

he expression is undefined where the denominator equals

0

, the argument of an even indexed radical is less than

0

, or the argument of a logarithm is less than or equal to

0

.

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Step-by-step explanation:

Answer:

Sorry, it's actually the third one, 4.8 feet

Step-by-step explanation:

First, you divide the length of the family room tv by the length of the tv in Louise's room

5 divided by 1.5 equals 3.33

Then, you divide the width of the family room tv to get the width of Louise's tv

3 divided by 3.33 is 0.9

Now, you follow the formula for perimeter.

(0.9 + 1.5) x 2 = 4.8

The perimeter of Louise's tv is 4.8 feet.

Answer:

Step-by-step explanation:

Similar figures have same ratio of corresponding sides.

The scale factor is:

The width of the smaller television is:

Perimeter:

Correct choice is H

To calculate the percent change of two numbers such as 99 to 71, you use the Percent Change Formula, where a is the start value and b is the end value. When we insert a = 99 and b = 71 in the formula above, then we get the following that we can simplify and solve to get the percent change from 99 to 71.

Change ≈ -28.2828%

Answer:

because it will bounce high and hit something.

Step-by-step explanation:

The required value of k is 7 for a line that includes the points (k,–4) and (5,–2).

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

As per the question, the slope of the line is -1, and the given points are (k, -4) and (5, -2).

So we can substitute these values into the formula:

-1 = (-2 - (-4)) / (5 - k)

-1 = 2 / (5 - k)

-1 × (5 - k) = 2

-5 + k = 2

k = 2 + 5

k = 7

Therefore, the value of k is 7.

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Graph of given system of equations is shown in figure with intersection point (2, 4).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The system of equation is,

⇒ 2x + y = 8

⇒ - x + 2y = 6

By solving both equation , we get;

⇒ (x, y) = (2, 4)

Thus, The graph of system of equation intersect on point (2, 4).

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By noticing which formulas only contain the operations of addition, subtraction, multiplication, and non-negative integer exponents, the polynomials may be located. Expressions with additional operations are considered non-polynomial expressions.

Expressions are polynomials, but expressions that equal zero are polynomial equations.

A polynomial may be written as the sum of a finite number of terms, where each term is the product of one or more variables raised to a positive integer exponent and a constant coefficient (or power).

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

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Answer:

A) y-1=-3/2(x+1)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-1)/(1-(-1))

m=-3/(1+1)

m=-3/2

y-y1=m(x-x1)

y-1=-3/2(x-(-1))

y-1=-3/2(x+1)

The discriminant of the given quadratic equation 2x² - 4x + 3 = 0 is -8.

The standard form of quadratic equation is ax² + bx + c = 0

Compare the given equation with its standard form

a = 2, b = -4, c = 3

We know that

D = b² - 4ac

Substitute the values in the formula

D = (-4)² - 4(2)(3)

⇒ D = 16 - 24

⇒ D = -8

Since D < 0

Therefore, the given equation has no real roots.

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Answer:

X=3

Y=2

X=-2

Step-by-step explanation:

Since the graph appears to be moving in a straight line on the y axis

Since the graph appears to be moving in a straight line on the x axis

Since the graph on the y axis appears to be moving in a straight line.

The solution to the inequality expression is x > -84

From the question, we have the following parameters that can be used in our computation:

x +96 > 12

Subtract 96 from both sides of the inequality expression

So, we have the following representation

- 96 + x +96 > 12 - 96

Evaluate the like terms

x > -84

Hence, the solution is x > -84

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