Answer:
Lets calculate the value for each expression to get the answers
f(x) = x² + 6x + 9
g(x) = x² - 9
(f+g)(x) = x² + 6x + 9 + x² - 9
(f+g)(x) = 2x² + 6x
(f+g)(x) = 2x(x + 3)
(f-g)(x) = x² + 6x + 9 - (x² - 9)
(f-g)(x) = x² + 6x + 9 - x² + 9
(f-g)(x) = 6x + 18
(f-g)(x) = 6(x + 3)
(f×g)(x) = (x² + 6x + 9)(x² - 9)
(f×g)(x) = x⁴ - 9x² + 6x³ - 54x + 9x² - 81
(f×g)(x) = x⁴ + 6x³ - 54x - 81
(f÷g)(x) = (x² + 6x + 9) / (x² - 9)
(f÷g)(x) = (x+3)(x+3) / (x+3)(x-3)
(f÷g)(x) = (x+3)/(x-3)
Answer:
3.4 pizzas
Step-by-step explanation:
Given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon
y represents number of pizzas sold and x number of coupons issued
y is marked verticaly and x horizontally
The trend line is given as
y =3.4x+43
This says that even when no coupon is issued pizzas sold will be 43
and rate of change of pizza sold for 1 unit of coupon = slope = 3.4
i.e. when x increases by 1 unit y increases by 3.4 units
Hence For each additional coupon issued 3.4 pizzas more will be sold
Answer:
power for the volume of cube is 3
volume of cube is 1/27
Answer:
6z + 9
Step-by-step explanation:
distribute 3/4 by 8z to get 6z
distribute 3/4 by 12 to get 9
Answer:
x² + 18x +81
x² - 14x +49
4x²- 4x - 1
Step-by-step explanation:
multiply the x in the first parentheses by x and 9 in the other parentheses and
multiply the 9 in the first parentheses by x and 9 in the other parentheses and add all together
(x+9)(x+9)
x² + 9x + 9x + 81
x² + 18x +81
multiply the x in the first parentheses by x and -7 in the other parentheses and multiply the -7 in the first parentheses by x and -7 in the other parentheses and add all together
(x-7)(x-7)
x² -7x - 7x +49
x² - 14x +49
(2x-1)² is the same as (2x-1)(2x-1)
multiply the 2x in the first parentheses by 2x and -1 in the other parentheses and multiply the -1 in the first parentheses by 2x and -1 in the other parentheses and add all together
(2x-1)(2x-1)
4x²-2x-2x+1
4x²- 4x - 1