Answer:
A -6 < x ≤ -3
Step-by-step explanation:
21 ≤ - 3(x - 4) < 30
Divide all parts by -3. Remember that flips the inequalities
21/-3 ≥ - 3/-3 (x - 4) > 30/-3
-7 ≥ (x - 4) > -10
Add 4 to all sides
-7+4 ≥ x - 4+4 > -10+4
-3 ≥ x > -6
Rearranging the order
-6 < x ≤ -3
I think the answer is 39/250
Answer:
f(g(x)) = 9x^2 + 15x - 6
Step-by-step explanation:
We are using function g(x) = 3x - 1 as the input to function f(x) = x^2 + 7x.
Starting with f(x) = x^2 + 7x, substitute g(x) for x on the left side and likewise substitute x^2 + 7x for each x on the right side. We obtain:
f(g(x)) = (3x - 1)^2 + 7(3x - 1).
If we multiply this out, we get:
f(g(x)) = 9x^2 - 6x + 1 + 21x - 7, or
f(g(x)) = 9x^2 + 15x - 6
Answer:
x = -1 y = -1
Step-by-step explanation:
x + 3y = −4
x + 5y = −6
Multiply the first equation by -1
-x - 3y = 4
The add to the second equation to eliminate x
-x - 3y = 4
x + 5y = −6
--------------------
2y = -2
Divide by 2
2y/2 = -2/2
y = -1
Now solve for x
x+3y = -4
x +3(-1) = -4
x -3 = -4
Add 3 to each side
x-3+3 = -4+3
x = -1
