2. Graph the inverse of the function, then determine if the inverse is a function.
Part I: The graph of F(x) is shown below. On the same grid, draw the graph of
the inverse of F(x). (2 points)

Part II: Is the inverse a function? Explain your answer. (3 points)

Hello,

if :

[tex] \frac{16}{4(3 - 1)} = \frac{16}{4 \times 2} = \frac{16}{8} = 2[/tex]

if :

[tex] \frac{16}{4} \times (3 - 1) = 4(3 - 1) = 4 \times 2 = 8[/tex]

Answer:

Hello! The answer is c) 8.

Step-by-step explanation:

To solve this question, we need to follow the order of operations. This can be done through PEMDAS - parentheses, exponents, multiplication, division, addition, and subtraction.

First, we need to solve what's in the parentheses:

[tex]\frac{16}{4} * 2[/tex]

Now we can multiply and we get:

[tex]\frac{32}{4}[/tex]

This can be further simplified by doing 32 ÷ 4 to get 8.

Therefore, the answer is c) 8

Answer:

2,734,500

Step-by-step explanation:

27,345 × 113 - 27,345 × 13 ← factor out 27,345 from each term

= 27,345(113 - 13)

= 27,345 × 100

= 2,734,500

Answer:

26

Step-by-step explanation:

7(4)+-2

28-2=26

Step-by-step explanation:

y = 4 and z = -2

[tex] = 7y + z[/tex]

[tex] = 7 \times 4 + ( - 2)[/tex]

[tex] = 28 - 2[/tex]

[tex] = 26...[/tex]

The future value of the annuity after the end of 5 years is $552.56.

Given that, r =5%= 0.05, 5 years  = 5 yearly payments, so n = 5, and P = $100.

The formula to find the annuity formula [tex]FV=\frac{P \times ((1+r)^{n}-1 )}{r}[/tex].

Now, [tex]FV=\frac{100 \times ((1+0.05)^{5}-1 )}{0.05}[/tex]

⇒FV = 100 × 55.256

⇒FV = $552.56

Therefore, the future value of the annuity after the end of 5 years is $552.56.

To learn more about the annuity formula visit:

https://brainly.com/question/11691655.

#SPJ1

A function assigns the value. The function f(g(x)) represents the amount that Sonia will earn per hour by baking bread.

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

Given f(x)=9x²+1 and g(x)=√(2x³). Therefore, the value of f(g(x)) will be,

[tex]f(g(x)) = 9(\sqrt{2x^3})^2 + 1[/tex]

            = 9(2x³) + 1

           = 18x³ + 1

The function f(g(x)) represents the amount that Sonia will earn per hour by baking bread.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

B. 30

Step-by-step explanation:

3x + 2x + x = 180 (angle sum of a triangle is 180)

6x = 180

x = 30

Answer:

B. 30

Step-by-step explanation:

3x + 2x + x = 180

             6x = 180

               x = 180/6

               x = 30

Answer:

b

Step-by-step explanation:

15/8

Aplicando el concepto de precio unitario, concluimos que Julio debe pagar 8.70 soles peruanos por la producción de 29 fotocopias de los apuntes de un compañero.

En esta situación, Julio debe pagar por 29 fotocopias de los apuntes de un  compañero suyo. El monto a pagar es el producto del número de copias y el coste unitario de cada fotocopia, es decir:

x = (0.30 PEN) · (29)

x = 8.70 PEN

Aplicando el concepto de precio unitario, concluimos que Julio debe pagar 8.70 soles peruanos por la producción de 29 fotocopias de los apuntes de un compañero.

Para aprender más sobre precios unitarios: https://brainly.com/question/24134434

#SPJ1

Event A and Event B are events that do not overlap. This statement is false.

Two events overlap if there is a chance that both events occur together. A spade has a number 2. Thus, it is possible to pick a spade that has the number 2 on it. Thus, these events are dependent events.

To learn more about a deck of cards, please check: https://brainly.com/question/14971929

#SPJ1

Answer:

36

Explanation:

Multiples of 4 are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64,...

Multiples of 18 are:

18, 36, 54, 72, 90, 108, 126, 144,...

The least common multiple of 4 and 18 is 36.

There are 8,709,120 ways to arrange the people around the table

The given parameters are:

People = 13

Actors = 9

If the actors must seat together, then the actors must be grouped as 1.

The 9 actors can be arranged in 9! ways

Now, we have 1 group + 4 individuals.

This equals 5 people (in theory)

The 5 people can be arranged in 5! ways

So, the number of ways is

Ways= 9! * 5!

Evaluate

Ways = 8,709,120

Hence, there are 8,709,120 ways to arrange the people around the table

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

An equation is formed of two equal expressions. The sum of all possible values of x is 16.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

3x + 2y = 21

3x = 21 - 2y

x = (21-2y)/3

Since the value of x is needed to be positive, the value of 2y must not exceed 21. Also, the value of (21-2y) must be a multiple of two.

Now, the values of y that will satisfy the given condition in the equation are 0, 3, 6, and 9.

Further, the sum of the possible values of x are,

Sum = 7 + 5 + 3 + 1 = 16

Hence, the sum of all possible values of x is 16.

Learn more about Equation:

https://brainly.com/question/2263981

#SPJ1

Answer:

Whats the question then?

Step-by-step explanation:

The sample standard deviation is 2.45.

Standard deviation measures the spread of a dataset around its mean. The variance measures the average degree to which each data point differs from the mean.

The standard deviation is the square root of the variance.

Standard deviation = √6 = 2.45

To learn more about standard deviation, please check: https://brainly.com/question/26201837

#SPJ1

if the perimeter=s+s+s+s

=x+x+x+x

Answer:

100

Step-by-step explanation:

10^2 is 100 therefore it is 100

All the options are incorrect. the required average is (3x-9)/2.

Thermometer A reads xº.
Thermometer B reads 2° below the reading on thermometer A = x-2
Thermometers C and D each read 4° less than twice the reading on thermometer  = 2(x-2)-4

Average of the values is the ratio of total sum of values to the number of values.

As per question,
A=x
B = x-2
C.D = 2(x-2)-4= 2x-8
Average = A + B + C + D /4
= x+x-2+2x-8+2x-8/4
= 6x-18/4
= 3x-9/2

Thus, the required average of temperature = 3x-9/2.

Learn more about average here:

brainly.com/question/24057012

#SPJ2

Answer: Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1.

The last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.

A few fundamental principles apply to density curves:

Following the rules above, we can see from graph B that the curve is above the horizontal axis. That shows that the probabilities are positive which is a necessity. Moreover, the area under the curve must also be 1. That is also satisfied.

Hence, the last statement "Graph B is a valid density curve because the curve is above the horizontal axis, and the area under the curve is 1." is the correct statement.

Learn more about density curves here-

brainly.com/question/18345488

#SPJ10

Answer:

E.  16y

Step-by-step explanation:

Given equation:

5(x - 6y) = 50y

Expand the brackets using
Distributive Property for subtraction:  a(b - c) = ab - ac

⇒ 5 · x - 5 · 6y = 50y

⇒ 5x - 30y = 50y

Add 30y to both sides:

⇒ 5x - 30y + 30y = 50y + 30y

⇒ 5x = 80y

Divide both sides by 5:

⇒ 5x ÷ 5 = 80y ÷ 5

⇒ x = 16y

Answer:

12

Step-by-step explanation:

because it digit havbeen given ad k

Answer:

x-intercepts:  (-1, 0) and (2, 0)

x-intercept:  (-3, 0)

Step-by-step explanation:

Given quadratic function:

[tex]f(x)=-4x^2+4x+8[/tex]

The x-intercepts of a quadratic function are the points at which the curve crosses the x-axis ⇒ when y = 0

Therefore, to find the x-intercepts of the given function, set the function to zero:

[tex]\implies -4x^2+4x+8=0[/tex]

Factor out -4:

[tex]\implies -4(x^2-x-2)=0[/tex]

Divide both sides by -4

[tex]\implies x^2-x-2=0[/tex]

Rewrite the middle term as -2x + x:

[tex]\implies x^2-2x+x-2=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-2)+1(x-2)=0[/tex]

Factor out the common term (x - 2):

[tex]\implies (x+1)(x-2)=0[/tex]

Zero Product Property:  If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

[tex]\begin{aligned}(x+1) & = 0 & \quad \textsf{ or } \quad \quad (x-2) & = 0\\\implies x & = -1 & \implies x & = 2\end{aligned}[/tex]

Therefore, the x-intercepts are (-1, 0) and (2, 0).

---------------------------------------------------------------------------------------

Given quadratic equation:

[tex]-9 = x^2 + 6x[/tex]

Add 9 to both sides:

[tex]\implies x^2+6x+9=0[/tex]

Rewrite the middle term as 3x + 3x:

[tex]\implies x^2+3x+3x+9[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x+3)+3(x+3)=0[/tex]

Factor out the common term (x + 3):

[tex]\implies (x+3)(x+3)=0[/tex]

[tex]\implies (x+3)^2=0[/tex]

Square root both sides:

[tex]\implies (x+3)=0[/tex]

Solve for x:

[tex]\implies x=-3[/tex]

Therefore, the x-intercept is (-3, 0).

As the function has a repeated factor (multiplicity of two), the curve will touch the x-axis at (-3, 0) and bounce off.  

Answer:

  $7800

Step-by-step explanation:

The total interest earned can be found by summing the earnings from each of the investments.

Let x represent the total amount invested. Then Jessica's earnings are ...

  (x/2)(0.07) +(x/2)(0.13) = 780

Simplifying the equation gives ...

  (x/2)(0.07 +0.13) = 780

  0.10x = 780

  x = 7800 . . . . . . . . divide by 0.10

Jessica has $7800 invested.

Answer:

Infinitely many solutions.

Step-by-step explanation:

Let's solve your system by elimination.

x−3y=9;−x+3y=−9

x−3y=9

−x+3y=−9

Add these equations to eliminate x:

0=0

Answer:

Infinitely many solutions.

Answer:

Step-by-step explanation:

y = mx + b is the formula to figure out your question

Now, the equation ( y = 28x + 8)

Already shows the m and b

m = 28

b = 8

Hope this helps! :)

If not ask me in the comments about your question and I’ll answer