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3 years ago

Select the statement that describes the expression (one fourth x 8 + 3) ÷ 5.

Mathematics

1 answer:

Leto [7]3 years ago

6 0

Answer: B. One fourth times the product of 8 and 3, then divide by 5.

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Factor completely: 2x4 − 32.

vazorg [7]

Answer:

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

Step-by-step explanation:

Given expression is $2x^4-32$

To find the completed factor for the given expression:

$2x^4-32$ :

Taking the common number "2" outside to the above expression we get

$2x^4-32=2(x^4-16)$

Now rewritting the above expression as below

$=2(x^4-2^4)$ (since 16 can be written as the number 2 to the power of 4)

$=2((x^2)^2-(2^2)^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x^2$ and $b=2^2$

Therefore it becomes

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

$=2(x^2+4)(x^2-2^2)$

The above expression is of the form $a^2-b^2=(a+b)(a-b)$

Here $a=x$ and $b=2$

Therefore it becomes

$=2(x^2+4)(x+2)(x-2)$

$=2(x+2)(x-2)(x^2+4)$

Therefore $=2(x+2)(x-2)(x^2+4)$

$2x^4-32=2(x-2)(x+2)(x^2+4)$

Option b) is correct.

The completed factor of given expression is $2(x-2)(x+2)(x^2+4)$

3 0

3 years ago

Read 2 more answers

the number of miles per gallon of gasoline that a vehicle averages varies inversely as the average speed the car travels. a vehi

Tasya [4]

Answer:

Step-by-step explanation:

about 19

6 0

3 years ago

Find the zeros of the function.

Zigmanuir [339]

Answer:

x = 3, x = 4

Step-by-step explanation:

To find the zeros of the function, equate f(x) to zero, that is

(x - 3)(2x - 8) = 0

Equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3 ← smaller solution

2x - 8 = 0 ⇒ 2x = 8 ⇒ x = 4 ← larger solution

5 0

3 years ago

Which of the following pairs of numbers contains like fractions?

Harrizon [31]

Answer:

Step-by-step explanation:

if you multiply 5 by 2 you get 10

if you multiply 6 by 2 you get 12

5/2 (2) =10/12

Hope this helped

4 0

3 years ago

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A cylindrical can hold 500 mL and has a radius of 4 cm. Calculate the height of the can

FromTheMoon [43]

I hope this helps you

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3 years ago