Answer:
Step-by-step explanation:
Let J = John's share ($)
P = Peter's share ($)
H = Henry's share ($)
1) H = P + 80
2) J/P = 6/3 = 2
3) P/H = 3/5
Substitute equation 1) into equation 3)
P/(P + 80) = 3/5 (multiply both sides by (P + 80)
P = (3/5)*(P + 80) (multiply both sides by 5)
5*P = 3*P + 240
2*P = 240
P = 240/2 = $120
Substitute P value into equation 2)
J/P = 2 or
J = 2*P = 2*$120 = $240
John received $240
Answer (6y – 42)
6(y – 7)
Explanation:
Answer:The area of a square is equal to the length of one side squared. Since the square root of 36 is 6, the length of 1 side is 6.
Step-by-step explanation:
Answer:
(- 1, - 8 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 180°
a point (x, y ) → (- x, - y ) , thus
(1, 8 ) → (- 1, - 8 )
When we have a function such as h(x) = 2x, and we want to find the value of h at a given x value, we plug in the given number for x. For example, h(3) = 2*3 = 6.
We do the same thing with g(f(7)). In this case we plug 7 into f(x) for x, then plug the result of f(7) into g(x) for x.
f(7) = 15*7 - 12 = 93
g(93) = -15*93^2 + 14*93 - 10 = -128443