Answer:
f(x) = x³ + 3x² - 6x - 8
Step-by-step explanation:
given the zeros of a polynomial x = a, x = b, x = c then
(x - a), (x - b), (x - c) are the factors of the polynomial and f(x) is the product of the factors
here x = - 1, x = 2 and x = - 4 are the zeros, hence
(x + 1), (x - 2) and (x + 4) are the factors
f(x) = a(x + 1)(x - 2)(x + 4) ← a is a multiplier
let a = 1, then
f(x) = (x + 1)(x - 2)(x + 4)
= (x² - x - 2)(x + 4)
= x³ - x² - 2x + 4x² - 4x - 8
= x³ + 3x² - 6x - 8
Answer:
1. 4
2. 5
3. 9
4. 8
5. 100
Step-by-step explanation:
1st Side: 8
2nd Side: 2x - 1
3rd Side: x
(8) + (2x - 1) > x (2x - 1) + x > 8 (x) + (8) > 2x - 1
2x + 7 > x 3x - 1 > 8 8 > x - 1
2x > -7 3x > 9 9 > x
x > -3.5 (disregard) x > 3 x < 9
3rd Side: x ⇒ (3 < x < 9)
2nd Side: 2x - 1 ⇒ 2(3) - 1 < x < 2(9) - 1 ⇒ 5 < x < 17
Answer: the 3rd side must be between 3 and 9, the 2nd side must be between 5 and 17
The graphs have precisely the same shape, but that of g(x) is that of f(x) translated 4 units DOWN.
Answer:
$1.49
Step-by-step explanation:
after the sales tax the bill would be $11.48
so 13% of that would be $1.49
so she tipped 1 dollar and 49 cent
