4x - 2x + 8 = 6(x + 4) Given
(4x - 2x) + 8 = 6(x + 4)
2x + 8 = 6(x + 4) Combine like terms
2x + 8 = (6)(x) + (6)(4)
2x + 8 = 6x + 24 Distributive Property
2x - 6x + 8 = 6x - 6x + 24
-4x + 8 = 24 Subtraction Property of Equality
-4x + 8 - 8 = 24 - 8
-4x = 16 Subtraction Property of Equality
-4x : (-4) = 16 : (-4)
x = -4 Division Property of Equality
Answer:
(4,0)
Step-by-step explanation:
It is a linear function so you find the slope by doing y2-y1/x2-x1 and you find the slope to be 1/2. You can then setup an equation using it and graph it to find the next value.
Answer:
Step-by-step explanation:
We need to evaluate if thickness of a 10 gauge metal sheet is a requiered in the process that means 3.416 mm thick. So that should be our null hypothesis; μ₀ = 3.416 and based on sample data, we will formulate an alternative hypothesis taking into account the mean, and standard deviation obtained. We surely will have better information to take a decision
Convert to slope-intercept form.
5x - 2y = 10
2y = 5x - 10
y = (5/2)x - 5
So the slope is 5/2 and y-intercept is at (0, -5).
Answer:
Monthly Living Expense = 2375
Monthly Fixed Expense = 1975
Step-by-step explanation:
Let monthly living expense be "x"
and monthly fixed expense be "y"
<u>"monthly living expenses were 400 more than his monthly fixed expenses":</u>
x = 400 + y
<u>"Richard total monthly expenses were 4350":</u>
x + y = 4350
Putting Equation 1 in Equation 2:
(400 + y) + y = 4350
400 + 2y = 4350
2y = 3950
y = 1975
Now, x = 400 + y = 400 + 1975 = 2375
