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Harrizon [31]
3 years ago
14

Look at the picture and answer both of the following.

Mathematics
1 answer:
masya89 [10]3 years ago
3 0

Answer:

Step-by-step explanation:

r(x)=2\sqrt{x} , s(x)=\sqrt{x} \\ rs(x)=2\sqrt{x} \sqrt{x} =2x\\rs(4)=8\\\\\frac{r}{s}(x) =\frac{2\sqrt{x} }{\sqrt{x} } = 2\\\frac{r}{s} (3) = 2

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What is the perimeter of a rectangle that is 5.73 feet long and 0.6 feet wide?
sergij07 [2.7K]

Answer:

3.438

Step-by-step explanation:

5.73 × 0.6 = 3.438

3 0
3 years ago
The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even
Irina-Kira [14]

Answer:  translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C)  horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

3 0
3 years ago
Solve the following inequality, algebra 1. <br><br> will give brainliest answer !!
satela [25.4K]

Answer:

See below

Step-by-step explanation:

r/6 <-6      multiply both sides by 6 to get

<u>r < - 36 </u>

<u />

  <u> or</u>    4r+2 > 18     subtract 2 from both sides of the equation

            4r > 16        divide both sides by 4

            <u>  r > 4 </u>

6 0
1 year ago
Read 2 more answers
Two Social Security numbers (see Exercise 8.12) match zeros if a digit of one number is zero iff the corresponding digit of the
Roman55 [17]

Answer:

Proved

Step-by-step explanation:

From the given parameters, we have:

n = 9 i.e. the length of each security numbers

r = 2 i.e. 2 security numbers

Required

In 513 security numbers, 2 must have matching zeros

To do this, we make use of Pigeonhole principle.

First, we calculate the number of all security numbers not having matching zeros.

Each of the 9 digits can be selected in 2 ways.

2 ways implies that each digit is either 0 or not

So, total selection is:

Total = 2^9

Total = 512

Apply Pigeonhole principle

The principle states that: suppose there are n items in m containers, where n>m, then there is at least one container that contains more than 1 item.

This means that if there are 512 security number without matching zeros, then there is 1 (i.e. 512 + 1) with matching zeros.

512 + 1 = 513

8 0
3 years ago
What is 3/4 of of the power of 3
ahrayia [7]

If you mean to the power of 3 the answer should be 0.421875

6 0
2 years ago
Read 2 more answers
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