The answer is C
the mean is the average which is solved by adding up all of the numbers and then dividing that by how many numbers there are, 45/5 = 9
Answer:
a. The slope m is 0.02
b. The initial value b is 250
c. y = 0.02x + 250
d. His weekly income is $262 if the sales were $600.00
Step-by-step explanation:
the form of the linear equation is y = m x + b, where
- m is the slope (rate of change)
- b is the y-intercept (constant amount)
∵ A real estate sales agent receives a salary of $250 per week
→ This is a fixed amount every week
∴ b = 250
∵ They give a commission of 2% of sales
→ This value depends on the sales (rate of change)
∵ 2% = 2 ÷ 100 = 0.02
∴ m = 0.02
a. The slope m is 0.02
b. The initial value b is 250
∵ y represents the weekly income
∵ x represents the sales
∵ m = 0.02 and b = 250
∴ The equation is y = 0.02x + 250
c. y = 0.02x + 250
∵ The sales were $600.00
∴ x = 600
→ Substitute it in the equation to find y
∵ y = 0.02(600) + 250
∴ y = 12 + 250
∴ y = 262
d. His weekly income is $262 if the sales were $600.00
Answer:
x = -2,0,2
Step-by-step explanation:
9x^3 - 36x = 0
Factor out 9x
9x(x^2 -4) =0
Factor inside the parentheses, which is the difference of squares
(a^2 -b^2 = (a-b)(a+b)
9x (x-2)(x+2) = 0
Using the zero product property
9x =0 x-2=0 x+2 =0
x=0 x=2 x=-2
x = -2,0,2
Answer:
It's not possible to factor x^2-51, or complete the square or find the perfect square trinomial since 51 can't be squared evenly.
Ok so you have your two equations:
(1) 2x + 3y = -11 (I am assuming you meant 2x + 3y instead of 2x + 3x at least?)
(2) x - y = 12
x = y + 12
If we substitute equation (2) into equation (1) we get:
2(y + 12) + 3y = -11
2y + 24 + 3y = -11
5y = -35, therefor y = -7
If y = -7, from equation (2) we get:
x = -7 + 12 = 5