Answer:
$ 15.00
Step-by-step explanation:
9.95 is JUST about 10
5.25 is close to 5
10 + 5 = 15
2(7/2)^x = 49/2
Divide both sides by 2:
(7/2)^x = 49/4
I notice that 49/4 can be rewritten as (7/2)^2, so we now have:
(7/2)^x = (7/2)^2
The only way for this to be true is if x = 2. Thus, we are done.
Answer:
2.3 hours, or 2 hours & 18 minutes
Step-by-step explanation:
we are trying to find h when d is 56.68, so I replaced d with 56.68
subtract 0.1 from both sides
divide both sides by 24.6
Answer:
b=2/3
Step-by-step explanation:
The table is given as:
The exponential function is given in the form
where a is the initial value and b is the multiplicative rate of change
When x=1, y=9, we have:
When x=3, y=4, we have:
Dividing the two equations:
The multiplicative rate of change, b is 2/3.
The vertex-form equation is
y = a(x+1)² -16
Putting in the y-intercept values, we have
-15 = a(0+1)² -16
1 = a . . . . . . . . . . . add 16
Then the x-intercepts can be found where y=0.
0 = (x+1)² -16
16 = (x+1)²
±4 = x+1
x = -1 ± 4 =
{-5, 3}