An integer (from the Latin integer meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and −2048 are integers, while 9.75, 5 1⁄2, and √2 are not.
f(x) = ax^2 - 4x + b
If x = -2 , 3 are solutions of zeros function f(x) then b = ?
If x = -2 then a(-2)^2 - 4(-2) + b = 0
4a + 8 + b = 0 (1st)
If x = 3. then a(3)^2 - 4(3) + b = 0
9a - 12 + b = 0 (2nd)
Subtract (2nd) and (1st)
4a + 8 + b = 0 (1st)
9a - 12 + b = 0 (2nd)
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-5a + 20 = 0
-5a = -20
a = 4
Substitute a = 4 into 4a + 8 + b = 0 (1st)
4(4) + 8 + b = 0
16 + 8 = -b
b = -24
Answer is A) -24
Double check:
a = 4 and b = -24 so
f(x) = 4x^2 - 4x - 24
zero function:
4x^2 - 4x - 24 = 0
4(x^2 - x - 6) = 0
4(x - 3)(x + 2) = 0
x - 3= 0; x = 3
x = -2 = 0; x = -2
x = -2 , 3 are solutions of the function.
9514 1404 393
Answer:
10
Step-by-step explanation:
The diagonals of a parallelogram bisect each other. That is, point O is the midpoint of AC. If AO = 5, then OC = 5 and AC = 5+5 = 10.
Answer:
x=25
Step-by-step explanation:
We know vertical angles are equal
<A = <B
7x-8 = 6x+17
Subtract 6x from each side
7x-6x-8 = 6x-6x+17
x-8 = 17
Add 8 to each side
x-8+8 = 17+8
x=25