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3 years ago

Which represents the inverse of the function f(x) = 4x?

Mathematics

1 answer:

Sidana [21]3 years ago

5 0

Answer:

h(x) = x/4

Step-by-step explanation:

To find the inverse of a function, exchange x and y and then solve for y

y = 4x

Exchange x and y

x = 4y

Solve for y

Divide each side by 4

x/4 = 4y/4

y = x/4

The inverse is

h(x) = x/4

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State he domain and range of the following relation. (picture included)

k0ka [10]

B is the answer because domain is x and range is y

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4 years ago

Jason has $70 in a savings account that earns 5% interest, compounded annually.

kvv77 [185]

Answer:

$77.18

Step-by-step explanation:

A = total amount

P = principal

I = interest

A = P(1 + r/n)^n·t

A = 70(1+.05)²

A = 70(1.05)²

A = 77.175

I = A - P

5 0

3 years ago

Read 2 more answers

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

nikdorinn [45]

We are given zeros of the polynomial : 7, -11, and 2 + 8i.

Note: The radical zero always comes with the pair of plus and minus sign.

Therefore, another zero would be 2-8i.

Now, in order to find the polynomial with the zeros 7, -11, 2 + 8i and 2-8i, we need to find the factors of the polynomial.

The factors of the polynomial would be (x-7)(x+11)(x-2-8i)(x-2+8i).

Let us multiply those factors to get the standard form of the polynomial.

$\left(x-2-8i\right)\left(x-2+8i\right)=\left(x-2-8i\right)\left(x-2+8i\right) =x^2-4x+68$

$\left(x-7\right)\left(x+11\right)=x^2+11x-7x-77$ = $x^2+4x-77$

$\left(x^2-4x+68\right)\left(x^2+4x-77\right)=x^4-9x^2-16x^2+308x+272x-5236\\$

$=x^4-25x^2+580x-5236$ .

<h3>Therefore, correct option is 4th option $f(x) = x^4 - 25x^2 + 580x - 5236$ .</h3>

8 0

3 years ago

In algebra, we often study relationships where a change to one variable causes change

bearhunter [10]

A familiar situation describing where one quantity changes constantly in relation to another quantity is: the amount you pay as cost for buying gas at a gas station in relation to the quantity of gas you buy.

The two quantities, (cost and quantity of gas) are directly proportional.

When you represent the relationship of cost of gas and quantity of gas on a graph, you will have: a proportional graph with cost ($) on the y-axis and quantity of gas (gallons) on the x-axis.

(see attachment for how the graph will look like.)

There are usually two variables:

Independent variable which causes the change.

Dependent variable which responds to the change caused by the independent variable.

A situation where one quantity (dependent variable) changes constantly in relation to another quantity (independent variable) is a situation of the amount you pay at a gas station for filling your car with a certain quantity of gallons of gas.

The two quantities are directly proportional to each other.

That is:

The cost of gas in dollars (independent variable) is directly proportional to the quantity of gas in gallons (dependent variable).

As the quantity of gas increased in gallons, there would be equal increase in the cost of gas in dollars you would pay.

If we are to represent this on a graph, the graph will be a straight line graph showing a proportional relationship between cost of gas (on the y-axis) and quantity of gas (on the x-axis)

(see the image in the attachment below).

Therefore:

A familiar situation describing where one quantity changes constantly in relation to another quantity is: the amount you pay as cost for buying gas at a gas station in relation to the quantity of gas you buy.

The two quantities, (cost and quantity of gas) are directly proportional.

When you represent the relationship of cost of gas and quantity of gas on a graph, you will have: a proportional graph with cost ($) on the y-axis and quantity of gas (gallons) on the x-axis.

(see attachment for how the graph will look like.)

Learn more here:

brainly.com/question/6869319

4 0

3 years ago

Martin finished sewing LaTeX: \frac{7}{8}7 8 of his outfit. Kary finished sewing LaTeX: \frac{3}{7}3 7 of what Martin had finish

tatuchka [14]

Kary's outfit is 3/7 sewn

5 0

3 years ago