Answer:
Buying items at stores, measuring something, or building something.
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
You can factor this out by thinking of the factors of 56 that have a sum of -1. 7 and 8 are factors of 56 and to get a sum of -1, 8 should be negative. 7 + -8 = -1
So
![y^{2} - xy - 56x^{2}](https://tex.z-dn.net/?f=%20y%5E%7B2%7D%20-%20xy%20-%20%2056x%5E%7B2%7D%20)
factored out is (y+7x)(y-8x)
We can check this using FOIL
F = (y)(y) =
![y^{2}](https://tex.z-dn.net/?f=%20y%5E%7B2%7D%20)
O = (y)(-8x) = -8xy
I = (7x)(y) = 7xy
L = (7x)(-8x) =
![-56x^{2}](https://tex.z-dn.net/?f=%20-56x%5E%7B2%7D%20)
![y^{2} - 8xy + 7xy - 56x^{2}](https://tex.z-dn.net/?f=%20y%5E%7B2%7D%20-%208xy%20%2B%207xy%20-%2056x%5E%7B2%7D%20)
Combine like terms
Answer:
proportional
Step-by-step explanation:
We want to compare the number of eggs with the number of egg cartons. We know that every carton has 12 eggs, so the number of eggs will be 12x the number of cartons for sure. If the number of cartons increases the number off eggs will also increase and vice versa.
Equivalent means equal or have the same value. The value of 1/4, 2/8, and 0.25 is the same so they all equivalent. We have 12 eggs for 1 carton so they are not equal.