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3 years ago

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

3 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

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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

3 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

$y - 12 = 2x -8$