Answer:
-2
Step-by-step explanation:
f(x)=-3x+3
substitute value of f(x) with 9.
9=-3x+3
9-3=-3x
6/-3=x
-2=x
We can create a system of equations with the information we know.
J = 4L
J + L - 6 = 64
The first equation is pretty self-explanatory. Jack is 4 times as old as Lucy. The second equation is just adding their ages together. We subtract 6 because the sum of their ages was 64 three years ago. Three years ago, both Jack and Lucy were 3 years younger (total of 6).
Substitute 4L in for J in the second equation and solve.
4L + L - 6 = 64
5L = 70
L = 14
If Lucy is 14, then Jack is 14*4 = 56.
Answer:
6
Step-by-step explanation:
We have y ∝ x which is another way of saying y varies directly with x
We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality
So y = kx or x = y/k
using y and x values know, we can solve for k and then solve for any x given y
We have
y = 37.4 = k (17)
Therefore k = (37.4/17) = 2.2
To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 = 6
Answer:
9.50
Step-by-step explanation: