F(x) = kx
12 = 8k
k = 12/8 = 3/2
Required equation is f(x) = 3/2 x
Amy: x skirts
Betty: 2x skirts
Carol: (2x) + 7 skirts
If Amy has 18 less than Carol, than Carol's equation minus 18 equals Amy's equation:
[(2x) + 7] - 18 = x
+18 +18
(2x) + 7 = x + 18
- 7 -7
2x = x + 11
-x -x
x = 11
Input the solution for x into the girls equation to double check.
Amy: 11
Betty: 2(x)
2(11)
=22
Carol: (2x) + 7
22 + 7
=29
Does Amy have 18 less than Carol?
Carol - Amy = 18
29 - 11 = 18
18 = 18
the problem is solved
Answer:
7.8
Step-by-step explanation:
First I will try 50. I got 127,550, so that was way too big.
Let me try a smaller number. How about 5. I got 155, so that was a bit too small.
Now I'll try 20. I got 8420. Looks like the number is between 5 and 20.
How about 7. I got 399.
Let me try 8. I got 584! That's really close. It's just a little too big.
I tried 7.5, and got 485.624. So close! Just a little higher.
Putting in 7.8 yields <u>543.192!</u> That's our answer.
F(x) = 4 - x² g(x) = 6x
(g - f)(x) = g(x) - f(x)
(g - f)(3) = g(3) - f(3)
g(x) = 6x
g(3) = 6*3 = 18
f(x) = 4 - x²
f(3) = 4 - 3² = 4 - 9 = -5
(g - f)(3) = g(3) - f(3) = 18 - (-5) = 18 + 5 = 23
(g - f)(3) = 23