<u>X - Intercept</u>
f(x) = -x² + 4x - 4
0 = -x² + 4x - 4
x = <u>-(4) +/- √((4)² - 4(-1)(-4))</u>
2(-1)
x = <u>-4 +/- √(16 - 16)</u>
-2
x = <u>-4 +/- √(0)
</u> -2<u>
</u> x = <u>-4 +/- 0
</u> -2<u>
</u> x = <u>-4 + 0</u> x = <u>-4 - 0</u>
-2 -2
x = <u>-4</u> x = <u>-4</u>
-2 -2
x = 2 x = 2
The solution to the problem is {2, 2}, or {2}. The x - intercept of the problem is (2, 0).
<u>Y - Intercept</u>
f(x) = -x² + 4x - 4
f(x) = -(0)² + 4(0) - 4
f(x) = -(0) + 0 - 4
f(x) = -0 + 0 - 4
f(x) = 0 - 4
f(x) = -4
The y - intercept of the problem is (0, -4).
<u />
Answer:
$507.00.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6.5%/100 = 0.065 per year,
then, solving our equation
I = 1300 × 0.065 × 6 = 507
I = $ 507.00
The simple interest accumulated
on a principal of $ 1,300.00
at a rate of 6.5% per year
for 6 years is $ 507.00.
Answer:
Yes
Step-by-step explanation:
Answer:
See below
Step-by-step explanation:
Integrating a function basically means you are taking the inverse of finding a derivative of the function. Integration is used to find the area under a curve or multiple curves, or even volume.
For instance,
because the derivative of
is
.