Answer:
C, the set of all possible output values
Step-by-step explanation:
Range = Output
F(g(x)) = f(3x+2) = h(x)=9x^2+12x + 6
Note that (3x+2)^2 = 9x^2 + 12x + 4, which is almost, but not quite, equal to h(x).
Let's experiment. What if f(x) = x^2 + 2?
Then f(3x+2) = (3x+2)^2 + 2 = 9x^2 + 12x + 4 + 2 = 9x^2 + 12x + 6, which is the same as the given h(x).
Thus, f(x) is x^2 + 2.
You have $12, and need at least x more dollars to spend $30 total. So the inequality is 12 + x ≥ 30, where x is the number of dollars needed to get free delivery. To solve for x, subtract 12 from each side of the sign. x ≥ 30 - 12, x ≥ 18. You must spend at least 18 more dollars to qualify for free delivery.
Given:
In an office, there are 75 women and 125 men.
To find:
The ratio of the number of men to the number of women.
Solution:
We have,
Number of men = 125
Number of women = 75
The ratio of the number of men to the number of women is:
Therefore, the ratio of the number of men to the number of women is 5:3.
Answer:
n <= 12/5
Step-by-step explanation:
12 >= 5*n
5*n <= 12
5*n/5 <= 12/5
n <= 12/5
