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Akimi4 [234]
3 years ago
9

8) Factor each sum or difference of cubes completely. a. 8x3 + 27

Mathematics
1 answer:
ASHA 777 [7]3 years ago
4 0

Answer:

\large\boxed{(2x+3)(4x^2-6x+9)}

Step-by-step explanation:

8=2^3\\\\8x^3=2^3x^3=(2x)^3\\\\27=3^3\\\\8x^3+27=(2x)^3+3^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+3)\bigg((2x)^2-(2x)(3)+3^2\bigg)=(2x+3)(4x^2-6x+9)

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Solve 4(3x+3)=15x+7-3x+5
Flura [38]

Answer:

Infinite amount of solutions

Step-by-step explanation:

Step 1: Write equation

4(3x + 3) = 15x + 7 - 3x + 5

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

  1. Distribute 4: 12x + 12 = 15x + 7 - 3x + 5
  2. Combine like terms: 12x + 12 = 12x + 12
  3. Subtract 12 on both sides: 12x = 12x
  4. Divide both sides by 12: x = x

Here, we can see that <em>x</em> would be infinite amount of solutions. We can plug in any number <em>x</em> and it would render the equation true.

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3 years ago
The sum of t and 2 is equal to 5 less than t
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The sum (addition) of t and 2 is equal to (=) 5 less than (subtraction) t

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3 years ago
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<span>Given that there are 50 campers at day camp and 10 counselors.

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Using equivalent fractions we have \frac{50\div10}{10\div10} = \frac{5}{1}.

Thus, the related rate and unit rate to the ratio of campers to counselors is given by \frac{5}{1}.

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The answer is:
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