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Marianna [84]
3 years ago
15

Which of the following is the correct factorization of the polynomial below? 64x3+125

Mathematics
1 answer:
krek1111 [17]3 years ago
7 0

Answer:

(4x+5) (16x^2- 20x +25)

Step-by-step explanation:

Since both terms are perfect cubes, factor using the sum of cubes formula.

Cubes Formula:

a^3+b^3=(a+b)(a^2−ab+b^2)

where a=4x and b=5.

hence, why the answer is (4x+5) (16x^2- 20x +25)

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Make a factor tree for 16
jonny [76]
         16
          ∧
     4   X  4
      ∧      ∧
   2 X 2   2 X 2

The answer is 2 x 2 x 2 x 2 or 2⁴   This would have worked as well had you broken 

down 16 into 8 x 2.  You would get the same answer as the 8 would break down into 4 x 2 and the 4 would break down into 2 x 2.  

6 0
2 years ago
The answer and the work
crimeas [40]

Answer:

x=1

Step-by-step explanation:

Substitute the value of y to the first given

3x+4(-x)=-1

3x+(-4x)=-1

-x=-1

divide both sides by -1

x=1

5 0
2 years ago
Raphael paid $167 for a camera during a 75% off sale. what was the cameras regular price?
mihalych1998 [28]
As the camera was at 25% of the original price, this means you've got to multiply this number to by 4 to get the original price.
167*4= 668
Therefore, the camera's regular price is $668
Hope this helps :) 
6 0
3 years ago
Read 2 more answers
Determine which statement completes each open sentence:
Veronika [31]

Answer:

32 ÷ 8 + 1 __IS NOT EQUAL TO__ 3² - 1

4² __IS NOT EQUAL TO__ 4 • 2

3(x - 4 + x) __IS EQUAL__ 3x - 4 + x

when x = 4

15 ÷ (1 + 2) ___IS NOT EQUAL TO_ 15 ÷ 1 + 2

3(x - 4 + x) __IS NOT EQUAL TO__ 3x - 4 + x

when x = 2

6 0
2 years ago
Find the equation of a line perpendicular to y - 12 = 2x – 8 that passes through the point (2, 3). (answer in slope-intercept fo
Alla [95]

Answer:

\displaystyle y=-\frac{1}{2}x+4

Step-by-step explanation:

<u>Equation of a Line</u>

We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.

We are given a line

y - 12 = 2x -8

And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y

y = 2x +4

The coefficient of the x is the slope

m=2

The slope of the perpendicular line is the negative reciprocal of m, thus

\displaystyle m'=-\frac{1}{2}

We know the second line passes through (2,3). That is enough information to find the second equation:

y-y_o=m'(x-x_o)

\displaystyle y-3=-\frac{1}{2}(x-2)

Operating

\displaystyle y=-\frac{1}{2}(x-2)+3

Simplifying

\displaystyle y=-\frac{1}{2}x+4

That is the equation in slope-intercept form. Intercept: y=4

8 0
2 years ago
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