Hello there!
So, as we see that 42 is more than the denominator, so, we would have to see by how much it would be over.
40-42=2.
So, sense we have an whole number which would be (1)
Your answer:
To get it to 80% of antifreeze is to add more 350 gallons that is 90% of antifreeze.
(f+g)(x) = 2x - 1 + x^2 + 7 = x^2 + 2x + 6
(f-g)(x) = 2x - 1 - x^2 - 7 = -x^2 + 2x - 8
(f*g)(x) = (2x - 1)(x^2 - 7) = 2x^3 - 14x - x^2 + 7 = 2x^3 - x^2 - 14x + 7
(f/g)(x) = (2x - 1)/(x^2 - 7) - No simplification
f(g(-8)) = 2((-8)^2) - 7) - 1
= 2(64 - 7) -1
= 2(57) - 1 = 114 - 1 = 113
g(f(1)) = (2(1) - 1)^2 - 7
= (2 - 1)^2 - 7
= 1^2 - 7 = 1 - 7 = -6
Answer:
x = (-3)/4
Step-by-step explanation:
Solve for x:
3 (x - 6) = 8 x - 3 (3 x + 7)
-3 (3 x + 7) = -9 x - 21:
3 (x - 6) = 8 x + -9 x - 21
Grouping like terms, 8 x - 9 x - 21 = (8 x - 9 x) - 21:
3 (x - 6) = (8 x - 9 x) - 21
8 x - 9 x = -x:
3 (x - 6) = -x - 21
Expand out terms of the left hand side:
3 x - 18 = -x - 21
Add x to both sides:
3 x + x - 18 = (x - x) - 21
x - x = 0:
3 x + x - 18 = -21
3 x + x = 4 x:
4 x - 18 = -21
Add 18 to both sides:
4 x + (18 - 18) = 18 - 21
18 - 18 = 0:
4 x = 18 - 21
18 - 21 = -3:
4 x = -3
Divide both sides of 4 x = -3 by 4:
(4 x)/4 = (-3)/4
4/4 = 1:
Answer: x = (-3)/4