Answer:
x = - 4, x = - 3
Step-by-step explanation:
To find the zeros equate f(x) to zero, that is
x² + 7x + 12 = 0
To factorise the quadratic
Consider the factors of the constant term (+ 12) which sum to give the coefficient of the x- term (+ 7)
The factors are + 4 and + 3, since
4 × 3 = 12 and 4 + 3 = 7, hence
(x + 4)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x + 3 = 0 ⇒ x = - 3
Answer:
3.50
Step-by-step explanation:
Necklace has beads and a pendant
b +p
There are 6 necklaces at a cost pf 43.80
6(b+p) =43.80
The beads for one necklace cost 3.80 so replace b with 3.80
6(3.80+p) =43.80
Divide each side by 6
6(3.80+p)/6 =43.80/6
3.80 +p = 7.30
Subtract 3.80 from each side
3.80+p-3.80 = 7.30 -3.80
p =3.50
Add all 15 students' amounts: 14(68 inches), then add 65. Take the sum and divide it by 15 students, to get the mean. The answer is 67.8