Answer:
b=7.5
Step-by-step explanation:
4 forks are needed, 255 knifes or needed, and there are 116 extra spoons
1) 1.5a - 0.5 = 0
2) 1.5a - 0.5 + 0.5 = 0 + 0.5
3) 1.5a = 0.5
4) a = 0.5/1.5
5) a = 1/3 or .333
Answer:
q=35
Step-by-step explanation:
x2 - 12x + q = 0
Let the two roots be r and r+2.
Factor the quadratic expression:
(x - r)[x - (r + 2)] = 0
Expand, simplify, group like terms, and get
x2 - 2(r + 1)x + r(r + 2) = 0
Compare to
x2 - 12x + q = 0
and set equal the coefficients of like terms:
Coefficient of x:
-2(r + 1) = -12 ⇒ r + 1 = 6 ⇒ r = 5
(Then the other root is r + 2 = 5 + 2 = 7)
Constant term:
r(r + 2) = q ⇒ 5(5 + 2) = q
q = 35
Test the solution:
(x - 5)(x - 7) = x2 - 12x + 35
With two roots differing by 2, you get an equation of the form
x2 - 12x + q = 0
with q = 35.
Answer:
-2, 2, 6
Step-by-step explanation:
f(-4)= -4+2=-2
f(0)=0+2=2
f(4)=4+2=6
Substitute x for the number in parentheses