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Oksi-84 [34.3K]
3 years ago
15

(5x^3y)^3(x^2y^2) A. 5x^5y^5 B. 125x^11y^5 C. 125x^5y^5 D. 5x^11y^5

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Answer:

the answer is B

Step-by-step explanation:

(5x3y)3x2y2

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Monica [59]
The Power of a Power Rule. In this case, you basically multiply the two exponents together, and simplify (x^4)^9 to equal x^36
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The product of 2 numbers is -24 and their sum is -5. What are the two numbers and why are they the two numbers?
lana [24]

The numbers are (-8, 3) or (3, -8).

Step-by-step explanation:

  • Step 1: Given the product of the numbers are -24 and their sum are -5. Let the numbers be a and b. Form equations out of these details.

⇒ a + b = -5 ⇒ b = -5 - a

⇒ a × b = -24 -------- (1)

  • Step 2: Substitute the value of b in eq(1)

⇒ a × (-5 - a) = - 24

⇒ -5a - a² = -24

⇒ a² + 5a - 24 = 0

  • Step 3: Solve the quadratic equation for a.

a = (-5 ± √25 - 4 × 1 × -24)/2

  = (-5 ± √121)/2

  = - 16/2, 6/2 = -8 or 3

  • Step 4: For each value of a, find b.

When a = -8, b = -5 +8 = 3

When a = 3, b = -5 - 3 = -8.

6 0
2 years ago
The product of two factors is x2+ 6x + 8. If one of the factors is (x + 4), what is the other factor?
ch4aika [34]
(x + 4) (x + 2)
=x^2 +2x + 4x + 8
=x^2 + 6x + 8
the other factor is (x + 2)
6 0
3 years ago
Please simplify this it would help a lot
dexar [7]

Answer:

-1

Step-by-step explanation:

8 0
2 years ago
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Jessica is a custodian at Oracle Arena. She waxes 20 m² of the floor in = of an hour. Jessica
Wewaii [24]

The complete question is as follows:

Jessica is a custodian at Oracle Arena. She waxes 20 \mathbf{m^{2}} of the floor in \mathbf{\frac{3}{5}} of and hour. At this rate, how many square meters can she wax per hour ?

Answer:

\mathbf{\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}

Step-by-step explanation:

\textrm{rate}=\frac{\textrm{Area waxed in square meter}}{\textrm{Time taken to wax in hours}}

\textrm{rate}=\frac{20 \ \textrm{m}^{2}}{\frac{3}{5} \ \textrm{hours}}

\textrm{rate}=\frac{20\times5}{3}

\mathbf{rate=\frac{100}{3}\approx33.33 \ m^{2} \ per \ hour}

8 0
3 years ago
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