(07.04) When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exponent on the variable z is _____. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer 1
Answer:

Answer:

The exponent on variable z is -5

Step-by-step explanation:

(27x^2z)/(-3x^2z^6)

To simplify it we apply property of exponents

a^m / a^n = a^m-n

LEts divide the number first

27/ -3= -9

we have x^2 at the top and bottom . so we cancel it out

(z)/(z^6) =(z^1)/(z^6) =z^(-5)

Now combine all the terms

-9z^-5

The exponent on variable z is -5

Answer 2
Answer: The answer is negative 5

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1/3

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Four times the difference of 17 and a number is 84. Which equation below can be used to find the unknown number?

Answers

4(17-n)=84, 17-n means the difference between 17 and a number multi that by 4 so the answer is 4(17-n)=84

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Answers

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the image was not clear....hope the values are correct

Answer is in the attached file.

Which product is equivalent to 25x2 – 16?(5x − 4)(5x + 4)
(5x + 8)(5x − 8)
(5x − 4)(5x − 4)
(5x − 8)(5x − 8)

Answers

The product that is equivalent to the given expression is: A. (5x-4)(5x+4)..

What are Equivalent Expressions?

Equivalent expressions are expressions that have equal value when simplified.

(5x-4)(5x+4) is equivalent to  25x² – 16 because if we expand we would have:

5x(5x+4) -4(5x+4)

5x² + 20x - 20x - 16

Add like terms

25x² – 16

Therefore, the product that is equivalent to 25x² – 16 is: A. (5x-4)(5x+4).

Learn more about equivalent expressions on:

brainly.com/question/22365614

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the answer is (5x-4)(5x+4) 

What are the zeros of the function f(x)=x^2-2x-15

Answers

Hello,

f(x)=x²-2x-15=x²-2x+1-16=(x-1)²-16
=(x-1-4)(x-1+4)=(x-5)(x+3)
Zeroes are x=5 or x=-3

-8W + 5 = -43
I need help asap

Answers

Step 1: Subtract 5 from both sides.
−8w+5−5=−43−5
-8w=-48

Step 2: Divide both sides by -8.
-8w/-8 = -48/-8

W=6