If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?

O -1
O 3/2
O 41/8
O 23

Answer:

18x + 24

Step-by-step explanation:

6(3x + 4)

combine like terms

18x + 24

Answer:

6

Step-by-step explanation:

ok

Lets start by grouping like terms

we get

-5x=-30

divide -5 from both sides

x=6

Answer:

x = 6 or C) 6

Step-by-step explanation:

Step 1: We will subtract 2x from both sides.

−3x + 6 − 2x = 2x − 24 − 2x

To understand a bit better: -3x - 2x = -5x and 2x - 2x = 0 so it will end up looking like this:

−5x + 6 = −24

Step 2: We will subtract 6 from both sides.

−5x + 6 − 6 = −24 − 6

−5x = −30

Step 3: We will divide both sides by -5.

−5x/−5 = −30/−5

Both will equal to positive 6 so it is your x, I hope this somewhat helped you better understand the equation!

Answer:

B) x^(5/3)*y^(1/3)

Step-by-step explanation:

Taking the cube root of a number is the same as raising it to the 1/3 power:

∛x=x^1/3

∛(x⁵y) = x^(5(1/3))*y^(1/3)=x^(5/3)*y^(1/3)

Remember to multiply exponents when raising an exponent to an exponent and distribute the 1/3 to each exponent!

Answer:

T(t) = f(t) + g(t)

Step-by-step explanation:

The function which represents the total amount of money Henri will have in t years is the function obtained using an addition operation in the two defied functions, f(t) and g(t) ; total amount saved in shoe box plus the total compounded amount in savings account

Total amount of money in t years, T(t) ;

T(t) = 120t + 1,500(1.09)^t

f(t) = 120t

g(t) = 1,500(1.09)^t

Hence,

T(t) = f(t) + g(t)

Answer:

as there are no choices I will explain  k is 2 or bigger

Step-by-step explanation:

≥ means the number to the left is bigger or the same as the other so that means k is 2 or bigger

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (3, 19 )

m = [tex]\frac{19-7}{3-0}[/tex] = [tex]\frac{12}{3}[/tex] = 4

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = 4x + 7 → A

Answer:

T(-3,-2)

Step-by-step explanation:

R(x,y)

R(3,2)

P(6,0)

N(0,-4)

Answer:

$1.50 2/3

Step-by-step explanation:

I hope this helps :)

Answer:

its 55

Step-by-step explanation:

Answer:

Step-by-step explanation:

A binomial might look like x + 2.  Note how it has two terms.  " bi' " is a prefix meaning " two. "

A trinomial might look like 2x^2 - x + 1.  It has three terms.

Answer:

Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Step-by-step explanation:

Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:

(3 x 4) x 4 = X

12 x 4 = X

48 = X

Therefore, Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Answer: 5

Step-by-step explanation:

Because the shape is a kite we can tell that WX and WZ are congruent.

So 4x-8 = 2x+2

Add 8 to both sides

4x = 2x+10

Subtract 2x

2x = 10

Divide by 2

x = 5

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

[tex]tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16[/tex]

Therefore, the length of ac is 16.

Answer:

83, 245

Step-by-step explanation:

Using the rule multiply by 3, then subtract 4

a₄ = 3 × a₃ - 4 = 3 × 29 - 4 = 87 - 4 = 83

a₅ = 3 × a₄ - 4 = 3 × 83 - 4 = 249 - 4 = 245

The next 2 terms are 83, 245

Answer:

B

Step-by-step explanation:

3x3 9 so 9÷3 3 understand my dude

answer:

16.24 or 12 square root of 18

Hello!

[tex]\large\boxed{x = 3}[/tex]

2x + 1 = 5x - 8

Solve by subtracting both sides by 2x:

2x - 2x + 1 = 5x - 2x - 8

1 = 3x - 8

Add 8 to both sides:

1 + 8 = 3x - 8 + 8

9 = 3x

Divide both sides by 3:

9/3 = 3x/3

x = 3

Answer:

x = 3

Step-by-step explanation:

1. Write the equation

2x + 1 + 5x - 8

2. Add 8 on both sides

2x + 9 = 5x

3. Get the variables together

9 = 3x

4. Solve for x and divide both sides by 3

x = 3

Answer:

69

Step-by-step explanation:

420+911÷360 no scope=69

Answer:

2 feet

Step-by-step explanation:

By solving a quadratic equation, we will see that the width of the walkway must be 2 ft.

Remember that the area of a rectangle of length L and width W is:

A = L*W

In this case, we know that the dimensions are:

Now, if we add a walkway of width x all around the garden, the new dimensions of the garden are:

Now with these dimensions, the area is 192 ft^2, then we can write:

192 ft^2  = (8ft + 2x)*(12ft + 2x)

Now we need to solve that for x:

192 ft^2 = 96ft^2 + 4x^2 + 40ft*x

0 = 96ft^2 - 192ft^2 + 4x^2 + 40ft*x

0 = 4x^2 + 40ft*x - 96ft^2

This is a quadratic equation, the solutions are given by Bhaskara's formula:

[tex]x = \frac{-(40ft) \pm \sqrt{(40ft)^2 - 4*4*(-96ft^2)} }{2*4} \\\\x = \frac{-(40ft) \pm 56ft }{8}[/tex]

Notice that we have two solutions, but we only care for the positive one, so we take:

x = (-40ft + 56ft)/8 = 2ft

So the width of the walkway must be 2ft.

If you want to learn more about quadratic equations, you can read:

https://brainly.com/question/1214333

Answer:

The answer is -0.5

Step-by-step explanation:

Answer:

About 33% of students prefer chocolate icecream

Step-by-step explanation:

The actual percentage would be 35%, but none of the other answers are close enough to correct, so I'd have to say the bottom one.

hope this helps you :/

Answer:

B) Right triangle

Step-by-step explanation:

Only right triangles have an angle that's 90°.

it is a right triangle...

Answer:

value of tan θ = 1

Step-by-step explanation:

To find θ do the asin of 1/√2

θ = asin (1/√2)

θ = asin (0.707106781)

θ = 45

and then to find tan θ, do tan 45

tan 45 = 1

Answer:

Step-by-step explanation:

The first one is actually 0 I think. The instantaneous ROC at x=1 should also be 0. The last one should be correct.

Basically, the ROC for the first one is 0 because the y value at the start and end of the interval is the same, so the change is the same. However, for the instantaneous ROC at x = 0, you look at the graph and realize that if you find the derivative at that point, it is 0.

Answer: the general formula for the total surface area of a regular pyramid isbT. S. A. =12pl+B where p represents the perimeter of the base

Answer:

The number is -341

Step-by-step explanation:

Let the three digit number be represented as 100a+10b+c

Given

2a -b = 2 ---(1)

a = 3c ----(2)

100a+10b+c - 100c -10b -a = 594

99a -99c = 594 ---(3)

From 2 & 3 , we get -

99*a - (99*3*a) = 594

99*2 a = 594

a = -3

a = 3c, c = -1

2*-3 -b = 2, b = -4

Number is -341

=====================================================

Explanation:

We'll apply this formula

A = P*e^(r*t)

where,

In this case, we have

Again we won't type "2.718..." for 'e', and we'll just type it into the calculator as shown below. That way the calculator can handle the digits instead.

So...

A = P*e^(r*t)

A = 500*e^(0.06*6)

A = 716.66470728026

A = 716.66 dollars is the final answer

Answer: 27

Step-by-step explanation:

Since we are informed that Gianna practices penalty kicks and that she made 18/24 of her penalty kicks yesterday, this will be converted to its simplest form which will be:

= 18/24 = 3/4 .

If she plans on shooting 36 penalty kicks, the number of penalty kicks that Gianna would have to make to successfully shoot an equivalent fraction as yesterday will be:

= 3/4 × 36

= 3 × 9

= 27 penalty kicks.