Answer:
77
Step-by-step explanation:
"Of" means multiply. Make the percent a decimal and multiply. So 1.1 x 70 = 77
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:
6:19
Step-by-step explanation:
There are 120 men and 380 women.
The ratio of women to men in the show is 120:380.
Simplify 120:380.
⇒ 6:19
Answer:
m=3
Step-by-step explanation:
Move all terms that don't contain m to the right side and solve.
Answer:
the coordinates for c is 5, -17
Step-by-step explanation:
