2 years ago

An office supply company is shipping a case of

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

3 0

Pencils and easers hope ya how

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Which equation is the inverse of y = 7x2 – 10?

MrRissso [65]

we have

$y=7x^{2}-10$

To find the inverse

Step 1

Exchanges the variables, x for y and y for x

$x=7y^{2}-10$

Step 2

Isolate the variable y

$x=7y^{2}-10$

$7y^{2}=x+10$

$y^{2}= \frac{x+10}{7}$

Square Root both sides

$y=(+/-)\sqrt{\frac{x+10}{7}}$

Step 3

Let

$f(x)^{-1}=y$

$f(x)^{-1}=(+/-)\sqrt{\frac{x+10}{7}}$

therefore

<u>the answer is</u>

The inverse is

$f(x)^{-1}=(+/-)\sqrt{\frac{x+10}{7}}$

8 0

3 years ago

Read 2 more answers

The area of a rectangle is 14 m2 , and the length of the rectangle is 3 m less than double the width. find the dimensions of the

muminat

Width =3.5, length = 4

Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl

Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w

0 = 2w^2 - 3w - 14

which factors into
(2w - 7) (w + 2)

Solving for w
2w - 7 = 0
2w = 7
w = 3.5

w+2 = 0
w = -2

So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5

Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14

So the width is 3.5 and the length is 4.

3 0

3 years ago

(x^4)^2 please answer I need an A

scoray [572]

Answer:

x^8

Step-by-step explanation: