Mathematics, 30.01.2020 06:05 XxJadexX6527

Which monomial is a perfect cube?
16x6
27x8
32x12
64x6

Answers: 3

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Answers

The fastest way is to just use a scientific calculator.

To do it without a calculator, use prime factorization.

I'll only do the second one which is the answer.

27 x 8

= 3^3 x 2^3 = 6^3

Which is a perfect cube.

Answer from: yuluvk

ANSWER

$27 \times 8$

EXPLANATION

A perfect cube is a number that can be written in the form

${x}^{3}$

Let us use prime factorization to check which of the options is a perfect cube.

$16 \times 6 = {2}^{4} \times 2 \times 3 = {2}^{5} \times 3$

This is not a perfect cube.

$27 \times 8 = {3}^{3} \times {2}^{3} = {(2 \times 3)}^{3} = {6}^{3}$

This is a perfect cube.

$32 \times 12 = {2}^{5} \times {2}^{2} \times 3 = {2}^{7} \times 3$

Not a perfect cube.

$64 \times 6 = {2}^{6} \times 2 \times 3 = {2}^{7} \times 3$

This is also not a perfect cube.

The correct answer is B.

Answer from: Quest

a. we have two

lines: y = 4-x and

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b. 4-x = 8-x^-1

x 4-x 8-x^-1

-3 7

8.33

-2 6 8.5

-1 5 9

0 4

1 3

2 2

7.5

3 1 7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:

x=-4.236

y = 4-x = 4 – (-4.236)

= 8.236

y = 8-x^-1 = .236)^-1

= 8.236

x=0.236

y = 4-x = 4 – (0.236) = 3.764

y = 8-x^-1 = 8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c. to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x and y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines. the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

Answer from: Quest

step-by-step explanation: the answer for wha if rt is 10 centimeters long, and wha is st? it’s 6

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Which monomial is a perfect cube?
16x6
27x8
32x12
64x6...