MATHEMATICS HIGH SCHOOL

Which expressions are equivalent to 16x4 − 64? Check all that apply. 16x4 + 16x – 16x – 64 16x4 – 8x – 8x – 64 (4x2 + 8)(4x2 – 8) 16(x2 + 2)(x2 – 2) 4(4x4 – 8)

Answers

Answer 1
Answer:

The given expression is 16x^(4)-64.

It can be written as 16x^(4)+16x-16x-64.[ we can add or subtract the same thing]

The expression can be factored as difference of two squares

16x^(4)-64=[4x]^(2)-(8)^(2)=(4x^(2)+8)(4x^(2)-8)

The common factor of the two terms is 16

WE can take 16 as common factor:16x^(4)-64=16[x^(2)-2^(2)]

=16(x^(2)+2)(x^(2)-2)

Options  1 ,3,4 are the equivalent expressions.
Answer 2
Answer: 16x^4 - 64

equivalent expressions are :
16x^4 + 16x - 16x - 64
(4x^2 + 8)(4x^2 - 8)
16(x^2 + 2)(x^2 - 2)

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How do I solve this?24+3.1+(-44)+(-8.2)+63

How do you evaluate the expression below??

Answers

2.54156708521 alternatively, logarithm can be calculated like this. 

There is a pile of rocks. When 4.6 tons are removed, theremaining amount of rocks is 4.9 tons more than the amount
of removed rocks. How many tons of rock was there
originally?
___tons

Answers

Answer:

9.5

Step-by-step explanation:

4.6+4.9= 9.5

What is a fraction of a circle of 120 degree

Answers

Since the fraction of 120 at a circle is 120/360 which is 1/3

Solve for y:
6.3-0.9y
y=

Answers

6.3 = 0.9y

First, divide both of the sides by '0.9'
7 = y
Second, switch your sides.
y = 7

Answer: y = 7

Determine the rate of change shown in the following ordered pairs: (4,9) and (-1, 9)

Answers

To determine the rate of change between the ordered pairs (4, 9) and (-1, 9), you can use the formula:

Rate of change = (Change in y) / (Change in x)

In this case, both ordered pairs have the same y-coordinate (9), so the change in y is 0. The change in x is the difference between the x-coordinates, which is:

Change in x = (-1) - 4 = -5

Now, you can calculate the rate of change:

Rate of change = (0) / (-5) = 0

So, the rate of change between these two ordered pairs is 0. This means that the y-coordinate (9) remains the same, and there is no change in the dependent variable as the independent variable (x) changes from 4 to -1.

What is the cube root of 64x12?

4x4
4x6
8x4
8x6

Answers

As 64 is a perfect cube, the coefficient part does not present any problems. However, for the variable with an exponent, it is easier to obtain the cube root by multiplying the exponent by (1/3), since the cube root operator is equivalent to raising a number to the power of (1/3). This is shown below:

cube root (64x^12) = 4 * x^(12)(1/3) = 4 *x^4

Therefore, the answer is 4x^4.

The cube root of 64x12 is 4x4 and is denoted as option A.

What is Cube root?

This is referred as a number which produces another when it is cubed and an example is ∛125 = 5.

64 is a perfect cube which gives 4 when cube rooted. On the other hand, 12 is cube rooted by multiplying the exponent by (1/3).

Cube root of (64x¹²) = 4 × x¹² (1/3) = 4× 4.

Read more about Cube root here brainly.com/question/310302

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