Answer:
B. All real numbers
Step-by-step explanation:
2(x + 1) = 2x + 2
Distribute the 2 inside the parenthesis.
2x + 2 = 2x + 2
Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.
Example:
2(x + 1) = 2x + 2
2(5 + 1) = 2(5) + 2
2(6) = 10 + 2
12 = 12
2(x + 1) = 2x + 2
2(150 + 1) = 2(150) + 2
2(151) = 300 + 2
302 = 302
The expression is equal for any value put in x.
Answer:
Linear functions
Step-by-step explanation:
Keep change flip. You keep the first fraction the same, change the sign to multiplication and flip the second fraction. Example: 3/4 divided by 1/2 would be worked as 3/4 times 2/1
Answer:


Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r

Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:

Substitute 432π for V

Divide through by π

Make h the subject:

Surface Area (A) of a cylinder is calculated as thus:

Substitute
for h in 


Factorize:

To minimize, we have to differentiate both sides and set 

Set 

Divide through by 


Cross Multiply


Divide through by 2

Take cube roots of both sides
![r = \sqrt[3]{216}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B216%7D)

Recall that:




Hence, the dimension that requires the least amount of material is when


<u>Answer:</u>
- The numerator '9's share is 450 and the denominator '7's share is 350.
<u>Step-by-step explanation:</u>
<u>Step-1: Add the ratios:</u>
<u>Step-2: Divide 800 by the sum of the ratios:</u>
<u>Step-3: Multiply 50 with each ratio:</u>
Hence, <u>the numerator '9's share is 450 and the denominator '7's share is 350.</u>
Hoped this helped.

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