<em>The vertex for f(x) = 1/2 x2 + 3x +3/2 is:</em>
<u><em>(-3,-3)</em></u>
<span>(9t-4)(-9t-4)
using the FOIL :
9t * -9t = -81 t^2
9t * -4 = -36 t
-4 * -9t = 36 t
-4 * -4 = 16
-----------------------add up and simplify
</span><span />
Answer:
$ 637.17
Step-by-step explanation:
First, let's convert the interest per year (iy) to interest per month (im):
(1 + im)¹² = 1 + iy
(1 + im)¹² = 1 + 0.08
1 + im =
1 + im = 1.00643
im = 0.00643
im = 0.643%
The total amount (A) of an investment is:
Where R is the amount invested per month, and n the number of monthes. So:
10,000 = R*15.6943
R = $ 637.17
Answer:
This equation has two solutions.
1 solution is: x - 1
Solution #2 is : x - 7
Step-by-step explanation:
1. Move the constant to the left. We end up with x^2 - 8x +7 = 0
2. Rewrite the expression: x^2 - x - 7x + 7 = 0
3. Factor the expressions: x * (x-1) -7(x-1) = 0
4. Separate into possible cases : (x-1) * (x-7) = 0
5. Solve the equation(s): x-1 = 0
x-7 = 0
6. Possible solutions are as follows: x-1 OR x-7