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miskamm [114]
3 years ago
6

How to factor by grouping:

^{3} - 75x" alt="{27x}^{3} - 75x" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Nataly [62]3 years ago
5 0

Answer:

3 x (3 x - 5) (3 x + 5)

Step-by-step explanation:

Factor the following:

27 x^3 - 75 x

Factor 3 x out of 27 x^3 - 75 x:

3 x (9 x^2 - 25)

9 x^2 - 25 = (3 x)^2 - 5^2:

3 x (3 x)^2 - 5^2

Factor the difference of two squares. (3 x)^2 - 5^2 = (3 x - 5) (3 x + 5):

Answer: 3 x (3 x - 5) (3 x + 5)

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4 0
2 years ago
Cari owns a horse farm and a horse trailer that can transport up to 8,000 pounds of livestock and tack. She travels with 5 horse
const2013 [10]

Answer:

5(1248 lb/horse + t lb) ≤ 8000 lb

Step-by-step explanation:

One way to do this is to find the average weight of the 5 horses:

It is:

6,240 lb

---------------- = 1248 lb/horse

  5 horses

and to this, for each horse, we must add t lbs tack.

Thus, 5(1248 lb/horse + t lb) ≤ 8000 lb

would be an appropriate inequality.

Please note that your question mentions "the following inequalities;" that means you are expected to share them!  Please do so next time.  Thanks.

5 0
2 years ago
Opposite of-(-65) integer
kolezko [41]

Answer:

+65

Step-by-step explanation:

If you distribute negative with negative it gives you positive

4 0
3 years ago
ANSWER FAST!! All of the following angle pairs are ALWAYS congruent when a transversal passes through 2 parallel lines EXCEPT:
Murrr4er [49]

Answer:

Adjacent angles

Step-by-step explanation:

7 0
2 years ago
Given f(x) = the quantity of 3x minus 1, divided by 2 , solve for f−1(4)
hichkok12 [17]
<span>f(x)=(<span><span>3x−1)/</span>2<----Starter </span></span>
y = (3x-1)/2
switch x and y
x = (3y-1)/2
2x = 3y-1
2x+1 =3y
y = 2/3*x + 1/3 
f^(-1) (x) = 2/3*x + 1/3 
f^(-1) (4) = 2/3*4 + 1/3 = 8/3 + 1/3 = 9/3 = 3

I hope this helps. ;)
3 0
3 years ago
Read 2 more answers
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