Find the missing length.

Answer:

If the function is

A(n) = 4n -25

and we wish to get the inverse function N(a)

We let

A(n) = a

n = N(a)

Plugging in the values

a = 4 N(a) - 25

Arranging the equation:

4 N(a) = a + 25

N(a) = (a + 25) /4

The answer is

N(a) = (a + 25) /4

Step-by-step explanation:

The inverse function of a(n) = 3n - 15 is n(a) = 5 + a/3.

An inverse function exists a function that undoes the action of another function. A function g exists as the inverse of a function f if whenever

y = f(x) then x = g(y).

We have:

a(n) = 3n - 15

Rewrite the above equation as

a = 3n - 15

Add 15 to both sides of the equation

3n = 15 + a

Divide through by 3, we get

n = 5 + a/3

Express as function then, we get

n(a) = 5 + a/3

Hence, the inverse function is n(a) = 5 + a/3.

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Answer:

The distance that Mrs. Gilbertson's daughter walked was 188.4 feet

Step-by-step explanation:

Here we have that Mrs. Gilbertson's daughter walked round the circle 12 times where the diameter of the circle = 5 ft., therefore, the circumference of the circle, the distance walked round each of the 12 times = π·D

Where:

D = 5 ft

Hence, circumference = π × 5 = 3.14 × 5 = 15.7 ft

Therefore, by walking round the circle 12 times, the total distance that Mrs. Gilbertson's daughter walked = 12 × 15.7 = 188.4 ft.

Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Step-by-step explanation:

To find the probability

Total marbles = 5 + 3 + 6 + 2 = 16

P pink = 5/ 16

P orange = 3/16

P green = 6/ 16 = 3/8

P yellow = 2/16 = 1/8

Part B when we divide 80 by 16 = 5

So she drew every marble 5 times

So 3 x 5 = 15

She drew the orange marble 15 times

Since y = f(x), and we are adding 5 to this, we can say that g(x) is basically f(x) but has been shifted 5 units up.

Example: f(x) = x^2 and g(x) = f(x)+5 = x^2+5. Compare those two graphs and you should see that every point on f(x) has been moved up 5 units.

The statement best compares the graph of g(x) with the graph of f(x) is "The graph of g(x) is the graph of f(x) shifted 5 units up".

A function assigns the value of each element of one set to the other specific element of another set.

As the value of function g(x) is given, therefore, the function of g(x) will be 5 units upwards from the function f(x).

An example of this is been attached below.

Therefore, the statement best compares the graph of g(x) with the graph of f(x) is  "The graph of g(x) is the graph of f(x) shifted 5 units up".

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Answer:

x values: 5, 10, 15, 20, 25

y values: 7, 14, 21, 28, 35

Step-by-step explanation:

Answer: it’s B

Step-by-step explanation:

I just took the test

Answer:

34.35 liters

Step-by-step explanation:

Answer:

The answer is x ^5

Answer:

We use tree diagram by connecting relevant samples

Step-by-step explanation:

thats all

Answer:

[tex]12n^4-15n^3-3n^2[/tex]

Step-by-step explanation:

The first step is to distribute the [tex]3n^2[/tex] to [tex](4n^2-5n-1)[/tex], like so:

[tex](4n^2-5n-1)[/tex][tex](3n^2)[/tex]

[tex]12n^4-15n^3-3n^2[/tex]

Answer:

2.

4x^2 + 4 - 5x + x - 2x^2 + 8

= (4x^2 - 2x^2) + (x - 5x) + (4 + 8)

= 2x^2 - 4x + 12

=> D is correct

3.

2x^2 + 6x - 7x + 8 - 3x^2 + 1

= (2x^2 - 3x^2) + (6x - 7x) + (1 + 8)

= -x^2 - x + 9

=> C is correct

4.

B is correct (4 and 3)

Hope this helps!

:)

Answer:

100

Step-by-step explanation:

Because adjacent angles in a parallelogram are supplementary, angle 1 and 80 must add up to 180 degrees. Therefore, angle 1 is 180-80=100 degrees. Hope this helps!

Answer:

100

Step-by-step explanation:

Hope this helped!

Answer:

Step-by-step explanation:

The graph of f(x) = x^2 is a parabola opening up and with vertex at (0, 0).

The graph of (1/3)f(x) is also a parabola that opens up and has vertex at (0, 0), but this new graph has been vertically compressed by a factor of 3.

The graph of g(x) = 1/3 f(x) is parabola. (as shown in the following image.)

"The graph of a function f is the set of all points in the plane of the form (x,  f(x))."

For given example,

f(x) = x²

The graph of a function f(x) would be a parabola with vertex at origin (0, 0).

And g(x) = 1/3 f(x)

⇒ g(x) = 1/3 (x²)

We know, the greater the quadratic coefficient, the narrower the parabola and the lesser the quadratic coefficient, the wider the parabola.

Since for a parabola g(x) the quadratic coefficient is 1/3.

This means the parabola g(x) is wider than the parabola f(x)

So, the graph of g(x) is the graph of f(x) scaled by 1/3 units.

The graph of g(x) is parabola (as shown in following figure)

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Answer:

The perimeter of triangle is 30ft.

Step-by-step explanation:

First you have to find the value of a using Pythogoras Theorem, a² + b² = c² where a and b is the sides and c is the hypotenuse :

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

Let b = 12,

Let c = 13,

[tex]a = \sqrt{ {13}^{2} - 12 {?}^{2} } [/tex]

[tex]a = \sqrt{25} [/tex]

[tex]a = 5feet[/tex]

Next you have to find the perimeter of triangle by adding all the sides together :

[tex]perimeter = 5 + 12 + 13[/tex]

[tex]perimeter = 30feet[/tex]

Answer: Matt is correct

Step-by-step explanation: length x width x height so it's D

Answer:

This is because It is easy to convert a fraction to a percent when the denominator is 100. If a fraction does not have a denominator of 100, you can convert it to an equivalent fraction with a denominator of 100, and then write the equivalent fraction as a percent.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Because this figure is a parallelogram, the diagonals bisect each other. This means that the diagonals cut each other perfectly in half, meaning that x and 15 have the same value. Hope this helps!

Step-by-step explanation:

I think its 5 for x if you do 15/3=5 I think

Answer:

The answer is 784

Step-by-step explanation:

You divide 17 from 45 it will equal 2.647 years technically 2 year that the population has doubled.

You multiply 196 by 2 and do that a second time to get 784.

Answer:

C

Step-by-step explanation:

10% as a decimal is .10, or .1. This has to be added to the original wage, 1 (100%) so its 1.1

Answer:

a(91) = -1705

Step-by-step explanation:

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is    a(91) = 5 - 19(91 - 1), or

                                        a(91) = 5 - 1710, or

                                        a(91) = -1705

The 91st term of the arithmetic sequence is -1705.

An arithmetic progression is a sequence of numbers such that the difference of any two successive members is a constant.

Given that an arithmetic sequence 5, -14, -33, ...

nth term of an AP is, a(n) = a + (n-1)d

Each successive term is 19 less than the previous term, so the common difference is 19, and the general term is a(n) = a(1) - 19(n - 1).

Thus, the 91st term is  

a(91) = 5 - 19(91 - 1)

a(91) = 5 - 1710

a(91) = -1705

Hence, The 91st term of the arithmetic sequence is -1705.

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Answer:

x=2, y=1

Step-by-step explanation:

The left and right sides are equal

7x-2 = 5x+2

Subtract 5x from each side

7x -5x-2 = 5x-5x+2

2x-2 = 2

Add 2 to each side

2x -2+2 = 2+2

2x = 4

Divide by 2

2x/2 = 4/2

x =2

The top and the bottom are the same length

6x+y = 7x-1

6(2) +y = 7(2)-1

12 +y = 14-1

Subtract 12 from each side

12 +y-12 = 13-12

y = 1

Answer:

4x+9, 1st degree binomial

Step-by-step explanation:

It's already in standard form

Answer:

<B = 107

Step-by-step explanation:

This two triangles are congruent by SSS

So angleB = angleD

We can find angle D by the sum of the angles of a triangle

A+C+D = 180

32+41+D = 180

73+D = 180

D =180-73

D =107

C = B = 107

Answer: She did not use the factors in correct order therefore she is inncorrects

Step-by-step explanation: I got it right on edge

Answer:

Sari did not use the greatest common factor in the equation.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

c)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To factor a quadratic you need to think about what adds up to the b coefficient (the number in front of b) and multiplies to the constant. 3 and 4 do these, but you also know that you have -7 instead of positive 7. A negative times a negative is equal to a positive, which you can do (x-3)(x-4) to equal your quadratic trinomial.

Answer:

y = -15.9x² + 110.48x + 3.02

initial velocity: 110.48 ft/s

initial height: 3.02 ft

time to cath the ball at 6 ft: 6.92

Step-by-step explanation:

In the picture attached, the plot of the data points and the equation of the best regression is shown, which correspond to a quadratic equation. (It was obtained using Excel)

The initial velocity is the second coefficient.

The initial height is the third coefficient.

Replacing y = 6 into the equation and solving with the quadratic formula:

6 = -15.9x² + 110.48x + 3.02

0 = -15.9x² + 110.48x + 3.02 - 6

0 = -15.9x² + 110.48x - 2.98

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex]x = \frac{-110.48 \pm \sqrt{110.48^2 - 4(-15.9)(-2.98)}}{2(-15.9)} [/tex]

[tex]x = \frac{-110.48 \pm 109.62}{-31.8} [/tex]

[tex]x_1 = \frac{-110.48 + 109.62}{-31.8} [/tex]

[tex]x_1 = 0.03[/tex]

[tex]x_2 = \frac{-110.48 - 109.62}{-31.8} [/tex]

[tex]x_2 = 6.92[/tex]

In the context of the problem, only x2 has sense.