Graph the inverse function of f(x) = 2x + 4.

If <img src="https://tex.z-dn.net/?f=x-12%5Csqrt%7Bx%7D%20%2B36%3D0" id="TexFormula1" title="x-12\sqrt{x} +36=0" alt="x-12\sqrt{

Elis [28]

Answer:

x = 36

Step-by-step explanation:

$x - 12\sqrt{x} + 36 = 0$

Subtract x and 36 from both sides.

$-12\sqrt{x} = -x - 36$

Divide both sides by -1.

$12\sqrt{x} = x + 36$

Square both sides.

$144x = x^2 + 72x + 1296$

Subtract 144x from both sides.

$0 = x^2 - 72x + 1296$

Factor the right side.

$0 = (x - 36)^2$

$x - 36 = 0$

$x = 36$

Since the solution of the equation involved squaring both sides, we musty check the answer for possible extraneous solutions.

Check x = 36:

$x - 12\sqrt{x} + 36 = 0$

$36 - 12\sqrt{36} + 36 = 0$

$36 - 12\times 6 + 36 = 0$

$36 - 72 + 36 = 0$

$0 = 0$

Since 0 = 0 is a true statement, the solution x = 36 is a valid solution.

6 0

2 years ago

Which is greater 2.16 or 2.061

jenyasd209 [6]

2.16 is greater. To do this start from the left and compare the numbers. For example, 2 is the same in both but 1 is greater than 0, so the answer is 2.16.

6 0

2 years ago

Read 2 more answers

Angeline would like to make 8 identical bowls for a gift to her family. Each bowl required 3/4 lbs. of clay. The clay is sold in

lana66690 [7]

Answer:

2

Step-by-step explanation:

8 × .75 = 6lbs

she'd need 6lbs so she'd buy two bags of 5lbs

8 0

2 years ago

A jet ski rental charges A flat rate of $75 ,plus an additional $60 per hour you want to spend less than $200. for how many hour

cluponka [151]

The equation to solve would be setting

60×- the m plus 75,the b set to 200 the maximum that's wanted to be used. the equation will look like this

200=60x+75

-75. -75

125=60x
125/60 60x/60

2.08=x

and since you cant round the time the answer will be left at 2

8 0

2 years ago

In the year 2019, Lee County used approximately 55 million gallons of water. Historical trends show that each year the water dem

Harlamova29_29 [7]

Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

$P(t) = P(0)(1 + r)^{t}$