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lina2011 [118]
3 years ago
11

How do you factor 9x^3 + 64 (Please show steps)

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
8 0

First, let's review the formula for the "sum of two cubes:"

a^3 + b^3 = (a + b)(a^2 - ab + b^2).

Unfortunately, 9 is not a perfect cube. The cube root of 9 is 9^(1/3), and the square of the cube root of 9 is therefore 9^(2/3).

Thus,

9x^3 + 64 = (9^(1/3)*x + 4) * (9^(2/3)x^2 - 4*9^(1/3) + 16)

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Belle borrowed $18.275 to buy a new car. The interest rate she agreed to pay is 5%. If she takes 5 years to pay back the loan, h
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Answer:

$22843.75

Step-by-step explanation:

I'm assuming that $18.275 is $18,275

First, converting R percent to r a decimal

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then, solving our equation

I = 18275 × 0.05 × 5 = 4568.75

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The simple interest accumulated

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3 years ago
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Need an explanation on number 44 to why E is correct
aliina [53]

Before we can make sure that E is correct, we need to make the denominator is equal with questions and the choices or convert into decimal.

2/3 = 0.66

1/3=0.33

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1/2 = 0.5

7/10 = 0.7

7/9 = 0.77

The question is :

2/3 < x < 7/9

0.66 < x < 0.77

We need to divide into 2 parts :

0.66 < x

x < 0.77

So we need to find the answer that x is greater that 0.66 and we got 7/10. And 7/10 is less than 7/9.

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3 years ago
measure a and measure b are vertical angles with measure a = x and measure b = 4x - 30. what is measure a?
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Answer:

∠a = 10°

Step-by-step explanation:

The measure of ∠a = x

The measure of ∠b = 4x-30

It is also mentioned that the measure a and measure b are vertical angles. We need to find the value of a.

For vertically opposite angles,

∠a = ∠b

x = 4x-30

or

4x-30=x

Taking like terms together,

4x-x= 30

3x = 30

x = 10

So, the meausre of ∠a is equal to 10°.

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The equation is
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