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Alisiya [41]
2 years ago
14

Factor the polynomial completely. (y - 8)^2 - 16

Mathematics
1 answer:
garri49 [273]2 years ago
7 0

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

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Which exponential functions have been simplified correctly check all that apply
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Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,

(xy)^a = (x^a)(y^a)

The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is, 
(x^a)(x^b) = x^ab

Check:


f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)

f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)

f(x) = 81^0.25x = 3^x

f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x

f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)


Therefore, the answer is third equation.

<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
5 0
3 years ago
Read 2 more answers
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Vlada [557]

Answer:

MON= 57

Step-by-step explanation:

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8x-38=90

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therefore,

MON=57

USE COMPLEMENTARY FOR PROBLEMS LIKE THIS :)))

(btw, assuming that the angle is 90 degrees)

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three-dimensional graphs wouldn´t give you the right information but two-dimensional graphs would give you the actual size of the shape.

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Mumz [18]

Answer:

p to the power of 12

Step-by-step explanation:

hope this helps!

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2 years ago
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The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperat
Allisa [31]

Answer:  16° F

Step-by-step explanation:

30-15=16

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2 years ago
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