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)
--------------------------
-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.
y-2 = 3(x+7) put it in y=mx+b form (slope intercept)
y-2 = 3(x+7) distribute 3
y-2 = 3x+21 add 2 to both sides
+2 +2
y = 3x + 23
so now the slope of that is 3 so the new equation has a slope of 3 because parallel slopes are equal.
my new line has a slope of 3 and point (4,2)
so we use point slope formula y-y1 = m(x-x1)
y-2 =3(x-4) put it in y=mx+b form (slope intercept)
y-2 = 3(x-4) distribute 3
y-2 = 3x -12 add 2 to both sides
+2 +2
y = 3x + 10 which is you line slope intercept with parallel slope and contains (4,2)
The answer is x1= 0, x2= 6
Answer:
86 square inches
Step-by-step explanation:
Using the surface area formula: <em>2(wl + hl + hw)</em>, once you plug these numbers in, you get the final answer of 86.