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:
y=1/4x slope is 1/4
Step-by-step explanation:
add 1 to 2 to get 3 for the change in y, then add 4 to -2 to get 2 for the change in x, then put the change in y (1), over the change in x (4), to get a slope of 1/4
Answer:
4. false 1 is nor prime nor composite
Given:
The functions are


To find:
The functions
and
.
Solution:
We know that,




And,





Therefore, the required functions are 
and
.
Answer:
Gym A
Step-by-step explanation:
A linear relationship is a relationship of the form y = mx + b, where y and x are the linear variables, m is the rate of change and b is the value of y when x = 0.
Gym A:
Let x represent the month and y represent the total cost for the gym. From the table, we can represent the values in the form (x, y) as (1,70), (2, 90) and (3, 110). We can find the relationship between x and y using the formula:

Gym B:
We can represent the values from the table as (1,55), (2, 80) and (3, 105). We can find the relationship between x and y using the formula:

Hence gym A would cost less ($250 < $280)