Answer:
x³ + 7x² - 6x - 72
Step-by-step explanation:
Given
(x + 6)(x + 4)(x - 3) ← expand the second and third factor, that is
(x + 4)(x - 3)
Each term in the second factor is multiplied by each term in the first factor, that is
x(x - 3) + 4(x - 3) ← distribute both parenthesis
= x² - 3x + 4x - 12 ← collect like terms
= x² + x - 12
Now multiply this by (x + 6) in the same way
(x + 6)(x² + x - 12)
= x(x² + x - 12) + 6(x² + x - 12) ← distribute both parenthesis
= x³ + x² - 12x + 6x² + 6x - 72 ← collect like terms
= x³ + 7x² - 6x - 72
Answer:
Step-by-step explanation:
Tito wants to buy some peanut butter to donate as much as possible.
There some brands are given with their price.
we will calculate the price of per ounce peanut butter of each brand.
A. Nutty : 12 ounces for $2.19
cost per ounce =
= $0.1825 ≈ $0.18 per ounce
B. Grandma's : 18 ounces for $2.79
cost per ounce =
= $0.155 ≈ $0.16 per ounce
C. Bee's : 0.28 ounces for $4.69
cost per ounce =
= $16.75 per ounce
D. Save-A-Lot : 40 ounces for $6.60
cost per ounce =
= $0.165 ≈ $0.17 per ounce
The lowest price is $0.16 per ounce. So he should buy Grandma's peanut butter.
Answer:
g-1(x) = 3(x + 7).
Domain is All Real values of x.
Range is All Real values of the function.
Step-by-step explanation:
Let y = 1/3 x - 7
1/3 x = y + 7
Multiply both sides by 3:
x = 3(y + 7)
So the inverse of g(x) = g-1(x) = 3(x + 7).
Domain is All Real values of x.
Range is All Real values of the function.
Answer:
Step-by-step explanation:
F(x) = 3x² + 6x - 1
The graph is a parabola open upward (a= 3>0) with a minimum.
Calculate the vertex:
x = -b/2a → x = -6/(2.3) = -1. Then the axis of symmetry is x = - 1
Now to calculate the minimum, plugin the value of x:
y = 3x² + 6x - 1
y = 3(-1)² + 6(-1) -1
y= 3 - 6 -1 and y = - 4,
Ten the vertex (minimum) is at (-1,- 4)
