(2,-5),(-1,4)
slope = (4 - (-5) / (-1 - 2) = (4 + 5) / -3 = -9/3 = -3 <==
Answer:
a = -0.32
b = 16
c = - 168
Step-by-step explanation:
In the figure attached, the quadratic function is shown. We can model it as follows:
y = a*(x - x1)*(x - x2)
where (x1, 0) and (x2, 0) are its roots
From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:
y = a*(x - 15)*(x - 35)
and the vertex is at (25,32), replacing into the equation:
32 = a*(25 - 15)*(25 - 35)
32 = a*(-100)
a = 32/(-100)
a = -0.32
Applying distributive property:
y = -0.32*(x - 15)*(x - 35)
y = -0.32*(x² - 35x - 15x + 525)
y = -0.32x² + 16x - 168
which corresponds to the general form:
y = ax² + bx + c
He would need to pay $44 for the purchase because
10% x $40 = $4
$40 + $4 = $44
hope this helped ((:
Answer:
f(9) =21
Step-by-step explanation:
I will assume you want to find f(9) when x=9
Let x=9
f(9) = 2(9) +3
= 18+3
=21
f(9) =21
Answer:
Month 1 : 0.002988
Month 2: 0.00299692814
Month 3: 0.00300588297
Step-by-step explanation:
Since we're only finding the interest for the first three months, it's easy to do it by performing the simple interest formula. But first, we need divide 3 by 12, since we calculate interest using years. 3/12 = 1/4 = 0.25
The standard simple interest calculation is done by multiplying the starting amount, by the interest, by the time, then dividing by 100 to put it into a percentage.
1 month = 1/12 or approximately 0.083 of the year.
Let's say P = 1. For the first month, it will be 1 x 3.6 x 0.083 = 0.2988 / 100
The second month, (1 + 0.002988) * 3.6 * 0.083 = 0.299692814 / 100
The third month, (1.002988 + 0.00299692814) x 3.6 x 0.083 = 0.300588297/100
Given the initial amount be 1, those would be the periodic interest rate during the first three months.
