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4 years ago

If (z°z)(x)=1/16x , what is z (x)?

Mathematics

1 answer:

vivado [14]4 years ago

6 0

<span>assume z = ax for simplicity z(z) = a(ax) = a^2x let a^2x = 1/16x and solve for a </span>

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Your family is installing a new square pool in the backyard. The existing patio has a side length of 8 feet. How much of the pat

trasher [3.6K]

The question is an illustration of perimeters.

The amount of patio to remove to install the pool is 8 feet.

From the question, we have:

$\mathbf{Length\ of\ the\ pool = 8}$

$\mathbf{Length\ of\ walkway = 1}$

The perimeter of the patio is:

$\mathbf{P_p = 4 \times Length\ of\ the\ pool}$

$\mathbf{P_p = 4 \times 8}$

$\mathbf{P_p = 32}$

A 1ft walkway means that;

1ft would be subtracted from both sides of the patio before installing the pool

So, the perimeter of the patio in terms of the length of the pool is:

$\mathbf{P_p = 4 \times (x +2)}$

Equate both expressions

$\mathbf{P_p = P_p}$

$\mathbf{4 \times (x +2) = 32}$

Divide both sides by 4

$\mathbf{x +2 = 8}$

Subtract 2 from both sides

$\mathbf{x = 6}$

So, the perimeter of the pool is:

$\mathbf{P_{pool} = 4 \times 6}$

$\mathbf{P_{pool} = 24}$

The amount of patio to remove is:

$\mathbf{Amount = P_p - P_{pool}}$

So, we have:

$\mathbf{Amount = 32 - 24}$

$\mathbf{Amount = 8}$

Hence, 8ft of the patio would be removed to install the pool

<em>See attachment for illustration</em>

Read more about perimeters at:

brainly.com/question/6465134

7 0

2 years ago

What is the domain of the function below?

amm1812

$f(x)=\log(x-4)+4\\\\The\ domain:\\\\x-4 > 0\qquad\text{add 4 to both sides}\\\\x > 4\\\\Answer:\ \boxed{x > 4\to x\in(4,\ \infty)}\to\boxed{D.}$

8 0

3 years ago

Read 2 more answers

If this table is functional or non funtional

labwork [276]

Answer:

functional

Step-by-step explanation:

they all have equal input output ratio

plz mark brainliest

6 0

3 years ago

Find the total cost of $52 shoes; 2.9%tax

MAVERICK [17]

Tax is:
$52* (2.9/100)= $1.51

$52+ $1.51= $53.51

The total cost (including tax) is $53.51~

4 0

3 years ago

Which of these equations could represent the blue line?

belka [17]

Hello from MrBillDoesMath!

The first choice (y = 2x) is NOT the blue line because it has twice of the slope of the line y=x. That is, for a given positive x value the graph of y= 2x appears above the black line which is not the case for the blue line shown.

The second choice (y =.001x) is a possibility but the multiplier .001 is so small I think the graph of that line would be "close" to the x-axis. I don't think it's the blue line.

y = -x. Now here we can say NO! That line goes through the origin all right but has a slope of -1 so is heading "downward" from left to right. That is not the blue line either.

Well, then, it seems that the last equation ( y = 1/2x) is the only remaining reasonable answer.

Regards, MrB.

5 0

3 years ago