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Lemur [1.5K]
3 years ago
11

Factor completely: 80x2 – 125

Mathematics
2 answers:
Paladinen [302]3 years ago
6 0

Answer:

5(4x-5)(4x+5)

Step-by-step explanation:

80x^2-125= \\\\5(16x^2-25)= \\\\5(4x-5)(4x+5)

Hope this helps!

Dahasolnce [82]3 years ago
4 0

Answer:

5( 4x-5)(4x+5)

Step-by-step explanation:

80x^2 – 125

Factor out a 5

5( 16 x^2 - 25)

Inside the parentheses is the difference of squares

5 ( (4x)^2 - 5^2)

We know the difference of squares is  (a^2 - b^2) = (a-b) (a+b)

5( 4x-5)(4x+5)

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Which explanation correctly tells whether these ratios are equivalent and why?
Reptile [31]
<h3><u>Answer:</u></h3>

<u>Option A (Yes because 3 x 2 = 6 and 14 x 2 = 28.) is correct.</u>

<h3><u>Step-by-step explanation:</u></h3>

<u>This is because if we simplify 3/6 and 14/28, both of them will get 1/2. This means that only A and C are possible.</u>

  • => Option A is correct because 3 x 2 does equal 6 and 14 x 2 does equal 28.
  • => Option C is incorrect because 3 x 5 does not equal 14 and 6 x 5 does not equal 28.

Hoped this helped.

BrainiacUser1357

6 0
3 years ago
A)$150 at 3 % interest for 2 years
tamaranim1 [39]

Answer:

A)  159.135 = X

B) 2,531.25 = X

C)  6,187.5 = X

D) 831,947.46 = X

Step-by-step explanation:

The following investments are required to be calculated:

A) $ 150 at 3% interest for 2 years

B) $ 750.00 at 1/2% interest for 3 years

C) $ 2,250.00 at 1 3/4% interest for 1 year

D) $ 2,550.00 at 3 1/4 interest for 4 years

Therefore, the following calculations must be performed:

A)

150 x (1 + 0.03) ^ 2 = X

150 x 1.03 ^ 2 = X

159.135 = X

B)

750 x (1 + 0.5) ^ 3 = X

750 x 1.5 ^ 3 = X

2,531.25 = X

C)

2,250 x (1 + 1.75) = X

2,250 x 2.75 = X

6,187.5 = X

D)

2,550 x (1 + 3.25) ^ 4 = X

2,550 x 4.25 ^ 4 = X

831,947.46 = X

4 0
3 years ago
Alice’s backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 1,000 m2.
irina [24]
The approximate width of Alice's backyard is 22.36 in.

Let l be the length of the rectangle and w be the width.
l = 2w
A = 1000 m2 = l*w
1000 m2 = 2w *w
500 m2 = w^2
√500 m2 = √w^2
w = <span>22.360679775 in or 22.36 in</span>

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

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4 years ago
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