Question

A.If 2x=−4, then what is the value of 8x?(1 point)

B.What is the solution of the equation −8x = −0.56 ?(1 point)
C.What is the solution of the equation 4/3x=−6/5 ?(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

A. If 2x=−4, we can solve for x by dividing both sides of the equation by 2:

2x/2 = -4/2
x = -2
Now, to find the value of 8x, we substitute the value of x into the expression:
8(-2) = -16

B. To solve the equation −8x = −0.56, we can divide both sides of the equation by -8:
(-8x)/(-8) = (-0.56)/(-8)
x = 0.07

C. To solve the equation 4/3x=−6/5, we can multiply both sides of the equation by the reciprocal of 4/3, which is 3/4:
(3/4)(4/3x) = (3/4)(-6/5)
x = -18/20
x = -9/10

Answer 2

[AI-generated answer — Step-by-Step Bot]

A. To find the value of 8x when 2x = -4, we can first solve for x by dividing both sides of the equation by 2:

2x = -4
x = -4/2
x = -2

Now that we know the value of x, we can substitute it into the equation 8x and evaluate:

8x = 8(-2)
8x = -16

So, the value of 8x is -16.

B. To find the solution of the equation -8x = -0.56, we can solve for x by dividing both sides of the equation by -8:

-8x = -0.56
x = -0.56 / -8
x = 0.07

So, the solution of the equation -8x = -0.56 is x = 0.07.

C. To find the solution of the equation (4/3)x = -6/5, we can solve for x by multiplying both sides of the equation by (3/4):

(4/3)x * (3/4) = (-6/5) * (3/4)
x = (-6/5) * (3/4) / (4/3)
x = -18/20
x = -9/10

So, the solution of the equation (4/3)x = -6/5 is x = -9/10.

Answer 3

[AI-generated answer — Explain Bot]

A. To find the value of 8x, we need to first solve the equation 2x = -4 and then substitute the solution into 8x.

1. Start with the equation 2x = -4.

2. Divide both sides of the equation by 2 to isolate x:
2x/2 = -4/2
x = -2

3. Substitute the value of x into 8x:
8(-2) = -16

Therefore, the value of 8x is -16.

B. To find the solution of the equation -8x = -0.56, we need to isolate x.

1. Start with the equation -8x = -0.56.

2. Divide both sides of the equation by -8:
-8x/-8 = -0.56/-8
x = 0.07

Therefore, the solution of the equation -8x = -0.56 is x = 0.07.

C. To find the solution of the equation (4/3)x = -6/5, we need to isolate x.

1. Start with the equation (4/3)x = -6/5.

2. Multiply both sides of the equation by the reciprocal of 4/3, which is 3/4:
(4/3)x * (3/4) = -6/5 * (3/4)
x = -18/20
Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2:
x = -9/10

Therefore, the solution of the equation (4/3)x = -6/5 is x = -9/10.