So for this, you will be doing two different multiplications: 3 x 4 and √8 x √3.
3 x 4 = 12
√8 x √3 = √24
Now our result is 12√24, however, this can be simplified. Using the product rule of radicals (√ab = √a x √b), our simplification is such:
12√24 = 12√(8 x 3) = 12√(4 x 2 x 3) = 2 x 12√(2 x 3) = 24√6
In short, the answer is 24√6, or the first option.
The correct works are:
.
<h3>Function Notation</h3>
The function is given as:

The interpretation when Steven is asked to calculate Blue(s + h) is that:
Steven is asked to find the output of the function Blue, when the input is s + h
So, we have:

Evaluate the exponent

Expand the bracket

So, the correct work is:

<h3>Simplifying Difference Quotient</h3>
In (a), we have:


The difference quotient is represented as:

So, we have:

Evaluate the like terms

Evaluate the quotient

Hence, the correct work is:

Read more about function notations at:
brainly.com/question/13136492
Answer:
Step-by-step explanation:
1. USING MULTIPLICATION
FIRST 2\times 9=18
SECOND 2\TIMES 8=16
THIRD 9\TIMES 9=81
FOURTH 9\TIMES 8=72
Hey!
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Solution:
4(9x + 7) = x - 4
36x + 28 = x - 4
36x + 28 + 28 = x - 4 + 28
36x = x + (-32)
36x - x = x - (-24) - x
35x = -32
35x/35 = -32/35
x = -32/35
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Answer:
x = -32/35
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Hope This Helped! Good Luck!