For quadratic functions having the folllowing properties:
Look at photo
1 answer:
Answer:
f(x) = -4x²+24x -28
Step-by-step explanation:
The given zeros are a sum and a difference . You can use the special factoring of the product of a sum and difference to simplify the product of the factors of the quadratic. Each zero 'p' corresponds to a factor (x -p):
f(x) = a(x -(3 +√2))(x -(3 -√2)) = a((x -3)² -(√2)²) = a((x -3)² -2)
We can find the leading coefficient 'a' from the given point:
f(1) = -8 = a((1 -3)² -2) = 2a
a = -8/2 = -4
Then the function can be written as ...
f(x) = -4((x -3)² -2) = -4(x² -6x +9 -2)
f(x) = -4x²+24x -28
You might be interested in
4,6,8,10 1,2,3,4,5 6 foot 9 foot
Answer:
60% 29.4 Step-by-step explanation:
42 / 70 = 0.6 * 100% = 60%
Turn the percentage into a decimal.
42% = 0.42
Multiply.
70 * 0.42 = 29.4
Best of Luck!
Answer:
(x,y)=(-2,3)
Step-by-step explanation:
6x+5y=3
x=-(13/2)+(3/2)y
6(- 13/2+3/2y) +5y=3
y=3
x=13/2+3/2x3
x=2
Answer:
x=15in-4/3in
i=8/-6nx-30n
n=-8/6ix+30i
Step-by-step explanation:
So first you subtract 2001-1682=319. There is just 1 step, and it is hard to show work here. Hope this helped! :)