Answer:
vertex (-4,-1)
2nd point ( 0,31)
Step-by-step explanation:
f(x) = 2x^2 + 16x + 31
First find the vertex
The x coordinate of the vertex is -b/2a where ax^2 +bx +c
-16/ 2(2) = -16/4 = -4
Substitute into the function
f(-4) = 2 ( -4)^2 +16(-4) +31
= 2 *16-64 + 31
= 31 -64 +31
= -1
The vertex is at ( -4,-1)
Another point can be x=0
f(0) = 0+16(0)+31
= 31
( 0,31)
Answer:
10 mystery books
Step-by-step explanation:
Animals:
Multiply the total number of books by the fraction of animal books
4/16*16
4 animal books
Adventure:
2 adventure books
Mystery:
Subtract the number of adventure and animal books from the total number of books
16-4-2
10
10 mystery books
Hope this helps! :)
Answer:
x<3
Step-by-step explanation:
We divide equation by 3. So we get x<3. You can think of it with logic, too.
Answer:
x=−1 or x=−12
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+13x+12=0
Step 1: Factor left side of equation.
(x+1)(x+12)=0
Step 2: Set factors equal to 0.
x+1=0 or x+12=0
x=−1 or x=−12