Question

Solve the following linear equation. Click Here for Help Video

m/5 −2 = 6

m=_____

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we need to isolate the variable m.

First, we can add 2 to both sides of the equation:
m/5 - 2 + 2 = 6 + 2
m/5 = 8

Next, we can multiply both sides of the equation by 5 to eliminate the fraction:
5 * (m/5) = 5 * 8
m = 40

Therefore, the solution to the equation is m = 40.

Answer 2

Solve the following linear equation. Click Here for Help Video

−x + 3 = 15

x=_____

Answer 3

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we need to isolate the variable x.

First, we can subtract 3 from both sides of the equation:
-x + 3 - 3 = 15 - 3
-x = 12

Next, we can multiply both sides of the equation by -1 to solve for x:
(-1)(-x) = (-1)(12)
x = -12

Therefore, the solution to the equation is x = -12.

Answer 4

What is the missing exponent?

5^−3 = 1/5^?

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the missing exponent, we can recall the rule that states when we have a negative exponent, it is equivalent to taking the reciprocal of the base raised to the positive exponent.

In this case, we have 5 raised to the power of -3, which means we can rewrite it as 1 divided by 5 cubed:

5^(-3) = 1 / 5^3

Now we can see that the missing exponent should be 3.

Therefore, the missing exponent is 3.

Answer 6

Question

Simplify using Exponent Rules. Leave answer in Exponential Form.

(x4)(x6)/x3

Answer 7

[AI-generated answer — Bot GPT 3.5]

To simplify the expression (x^4)(x^6)/x^3, we can use the exponent rule for multiplying and dividing powers with the same base.

When multiplying powers with the same base, we add their exponents. In this case, we have x^4 multiplied by x^6, so we can add their exponents: 4 + 6 = 10.

When dividing powers with the same base, we subtract the exponents. In this case, we have x^10 divided by x^3, so we can subtract the exponents: 10 - 3 = 7.

Therefore, the simplified expression in exponential form is x^7.

Answer 8

Solve the following two-step linear equation. Click Here for Help Video.

−5x + 15/6 = 10

x=____

Answer 9

[AI-generated answer — Bot GPT 3.5]

To solve the equation, we need to isolate the variable x.

First, we can start by subtracting 15/6 from both sides of the equation:
-5x + 15/6 - 15/6 = 10 - 15/6

Simplifying this, we have:
-5x = 10 - 15/6

Next, to get rid of the fraction, we can express 10 as a fraction with a common denominator of 6:
-5x = 60/6 - 15/6

Simplifying further, we have:
-5x = 45/6

Now, we can multiply both sides of the equation by -1/5 to solve for x:
(-1/5)(-5x) = (-1/5)(45/6)
x = -45/30

Simplifying the fraction, we have:
x = -3/2

Therefore, the solution to the equation is x = -3/2.