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tigry1 [53]
3 years ago
15

Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers.

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

-125z³

Step-by-step explanation:

-5 times - 5 = 25 canceling negative

125 times -5 = -125

zXzXz = z to power of 3 =z³

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The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?
Nutka1998 [239]
<h3>Answer: n = -11</h3>

=========================================================

Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

f(x) = x^3+x^2+nx+10

f(2) = 2^3+2^2+n(2)+10

f(2) = 8+4+2n+10

f(2) = 2n+22

Set this equal to 0 and solve for n

2n+22 = 0

2n = -22

n = -22/2

n = -11 is the answer

Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10

Plug x = 2 into that updated f(x) function to find....

f(x) = x^3+x^2-11x+10

f(2) = 2^3+2^2-11(2)+10

f(2) = 8+4-22+10

f(2) = 0

Which confirms our answer.

3 0
3 years ago
A Toblerone candy bar is in the shape of a triangular prism. The area of the base is 3 in 2and the height of the prism is 5 in.
Mrac [35]

Answer:

  • 15 in³

Step-by-step explanation:

<u>Volume of the prism:</u>

  • V = Bh, where B- area of base, h- height

<u>Given:</u>

  • B = 3 in²
  • h = 5 in

<u>Volume is:</u>

  • V = 3*5 = 15 in³
8 0
2 years ago
Jeremy earned $33,000 after working for 44 weeks. How much money did Jeremy earn each week? Show Your Work
dmitriy555 [2]

Answer: jimmy needs a new job

Step-by-step explanation:

7 0
3 years ago
Solve for u. 31.25 = u/5
ipn [44]

Answer:

u = 156.25

Step-by-step explanation:

Step 1: Write equation

31.25 = u/5

Step 2: Solve for <em>u</em>

  1. Multiply both sides by 5: 156.25 = u
  2. Rewrite: u = 156.25

Step 3: Check

<em>Plug in u to verify it's a solution.</em>

31.25 = 156.25/5

31.25 = 31.25

3 0
3 years ago
Read 2 more answers
What is 12+ 15x please​
Elena L [17]

Answer: 15x+12

Step-by-step explanation: This expression is already simplified :( You can reverse the coefficients though! Both will still be equal, but you can’t simplify anymore.

7 0
2 years ago
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