For this case we have the following equation:

Rewriting we have:

For expressions to be equal, exponents must be equal. So:

To factor, we look for two numbers that, when multiplied, result in -3 and when added, result in -2. These numbers are -3 and 1.

Thus, the roots are:

Answer:

ANSWER:

STEP-BY-STEP EXPLANATION:
We have the following equation:

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.
Therefore, the domain is x ≥ -4.
So the correct answer is D.
Answer:
4.2π cm ≈ 13.19 cm
Step-by-step explanation:
The length s of an arc of a circle with radius r and central angle θ (in radians) is ...
s = rθ
Here, we have ...
s = (5.6 cm)(3π/4) = 4.2π cm ≈ 13.19 cm
Answer:
480 miles.
Step-by-step explanation:
Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.
We have been given that there was heavy traffic on the way there, and the trip took 12 hours.


We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.
So Maria's speed while returning back would be
.

Upon equating both distances, we will get:






Upon substituting
in equation
, we will get:

Therefore, Maya live 480 miles away from the mountains.