Answer:
-2x³+4x
Step-by-step explanation:
g(x) + f(x)
(2x) + (-2x³+2x)
-2x³+4x
Answer:
12 over 5, or 2.4
Step-by-step explanation:
I plugged it in my graphic calculator.
Answer:
<em>She will pay $1,047.12 interest for one year</em>
Step-by-step explanation:
<u>Simple Interest</u>
Occurs when interest is calculated on the original principal only.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance or loan
r = interest rate
t = time
Samantha takes out a loan for $17,452 at r=6%=0.06 simple interest for t=1 year. Calculating the interest:

I = $1,047.12
She will pay $1,047.12 interest for one year
Answer:
19ft
Step-by-step explanation:
Given the height of a ball above the ground after x seconds given by the quadratic function y = -16x2 + 32x + 3, we can find the maximum height reached by the ball since we are not told what to look for.
The velocity of the ball is zero at maximum height and it is expressed as:
V(x) = dy/dx
V(x) = -32x+32
Since v(x) = 0
0 = -32x+32
32x = 32
x = 32/32
x = 1s
Get the height y
Recall that y = -16x² + 32x + 3.
Substitute x = 1
y = -16(1)²+32(1)+3
y = -16+32+3
y = -16+35
y = 19ft
Hence the maximum height reached by the ball is 19ft