Answer:
no solution
Step-by-step explanation:
6y≥42
Divide each side by 6
6y/6≥42/6
y≥7
Then solve the second one
4y+12≤0
Subtract 12 from each side
4y+12-12≤0-12
4y ≤-12
Divide each side by 4
4y/4 ≤-12/4
y ≤-3
There is no solution since there is no overlap
Answer:
f(x) = -4x + 12
Step-by-step explanation:
y - 2x = -6x + 12
+2x +2x
f(x) = -4x + 12
The values that make the denominator zero are not in the domain.
x²- 4x - 12 = 0
(x - 6)(x + 2) = 0
Answer: 6, -2
In order to solve using elimination, we need to be able to get rid of one variable, so that we can solve for the other. We need to subtract these two equations given from one another, or multiply the bottom equation by a negative and add them together.
(-5x + 6y = 8) - (-5x + 4y = 2)
(-5x + 6y = 8) + (5x - 4y = -2)
0x + 2y = 6
2y = 6
y = 3
Now that we know the value of one variable, we can take that value and plug it back into one of the original equations and solve for the value of the other variable.
-5x + 6y = 8
-5x + 6(3) = 8
-5x + 18 = 8
-5x = -10
x = 2
The solution to this system of equations is (2, 3).
Hope this helps!! :)
Answer:
83
Step-by-step explanation:
f(x) = 7x - 1
Put x as 12.
f(12) = 7(12) - 1
f(12) = 84 - 1
f(12) = 83
