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saveliy_v [14]
3 years ago
13

Which expressions is equivalent ?

Mathematics
1 answer:
agasfer [191]3 years ago
7 0
<h3>3 Answers: Choice C, Choice D, Choice F</h3>

What these expressions have in common is that their exponents multiply to 16

  • (-4)*(-4) = 16 for choice C
  • (-2)*(-8) = 16 for choice D
  • 8*2 = 16 for choice F

The rule used here is (a^b)^c = a^(b*c). We multiply the exponents and keep the base the same.

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A number, y, is equal to twice the sum of a smaller number and 3. The larger number is also equal to 5 more than 3 times the sma
RSB [31]

Answer:

A.

Step-by-step explanation:

<em>NOTE: The "larger number" will be referred to as y, and the "smaller number" will be referred to as x.</em>

"A number, y, is equal to twice the sum of a smaller number and 3."

This tells us that we must add our smaller number (x) to 3 within parantheses and then multiply the entire term (x+3) by 2.

y=2(x+3)

"The larger number is also equal to 5 more than 3 times the smaller number."

This tells us that we must multiply 3 against our smaller number (x) and add 5 to it.

y=3x+5

Now, to find your answer, we can put the equations in the same form as the answer choices so as to find an equivalent equation. Lets start with the first equation.

This form calls for us to have our x term first, then our y term, then our constant.

y=2(x+3)\\y=2x+6\\-2x+y=6

Now that we've gotten the equation in that form, we can see that our answer choices hold that our leading co-efficient must be positive, which we can adjust for by dividing both sides by -1.

-2x+y=6\\2x-y=-6

This makes the only possible answer choices (A) and (C).

Now, lets do our second equation. The recipe calls for the same form, again with a positive leading coefficient.

y=3x+5\\-3x+y=5\\3x-y=-5

This is only represented by choices (A) and (B).

Therefore, answer choice (A) is the only one which represents both equations.

7 0
3 years ago
Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you 75 cents for sell
nikdorinn [45]

Answer:

5075 cents or 50.75

so sorry if it was wrong!

4 0
2 years ago
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