Answer:
Option B
x ≥ (-5)
Step-by-step explanation:
<h3>
<u>Given</u>;</h3>
So,
-3(x + 4) ≥ x + 8
-3x – 12 ≥ x + 8
Add both sides 12 we get,
-3x – 12 + 12 ≥ x + 8 + 12
-3x ≥ x + 20
Similarly, subtract x from both sides we get,
-3x – x ≥ x – x + 20
-4x ≥ 20
Then, divide both sides by (-4) we get,
-4x/(-4) ≥ 20/(-4)
x ≥ -5
Thus, The answer is x ≥ (-5).
Answer:
Range is 3 <= g(x) <= 27.
Step-by-step explanation:
The range is the values of g(x) for the given domain.
When x = 0 g(x) = 3(0)^2 - 6(0) + 3 = 3.
When x = 4 g(x) = 3(4)^2 - 6(4) + 3 = 27.
Answer:
6 mins
Step-by-step explanation:
An ant can crawl 3/4 of a yard in 1/2 minute. How long will it take for the ant to crawl 12 yards?
Ant crawls 3/4 of a yard in = 1/2 min = 60/2 sec = 30 sec
Ant crawls 12 yards in = 12 * 30 = 360 sec = 360/60 = 6 minutes
Answer:
(0,6)
Step-by-step explanation:
The given system of equations is
and
We substitute the first equation into the second equation to get:
We expand to get:
We group similar terms to get:
Put x=0 in to the first equation to get:
Therefore the solution is (0,6)
