y = x + 2
Step-by-step explanation:
General formula for any straight line:
y = mx + c
Where
m = gradient
c = constant
m = y2 - y1/x2 - x1
m = (4 - ( -2))/(2 - ( -4))
m = 6/6
m = 1
y = (1)x + c
y = x + c
Substitute any coordinate from the line of the equation.
4 = 2 + c
c = 2
substitute m and c into general formula
y = mx + c
y = x + 2
Answer: 2526 dollars
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Work Shown:
Plug n = 400,000 into the function and simplify
f(n) = 939 + 5.29*(n-100,000)/(1,000)
f(400,000) = 939 + 5.29*(400,000-100,000)/(1,000)
f(400,000) = 939 + 5.29*(300,000)/(1,000)
f(400,000) = 939 + 5.29*(300)
f(400,000) = 939 + 1,587
f(400,000) = 2526
Answer:
Step-by-step explanation:
You need to set up a ratio for the original recipe and then use that ratio for the new one.
If we need 3 cups of flour for every 4 cups of sugar, we have a 3 c flour/4 c sugar ratio, or 3/4
The new ratio is 9 c of flour for ? c of sugar. Those ratios have to be the same, so we set up an equation like this:
3/4 = 9/?
In order to keep the same ratio, you have to multiply by the same number. Since 3*3 = 9, multiply 4*3 to get your answer.
Answer:
y = -x/3 + 5/3
Step-by-step explanation:
In order to find the inverse of a function, you have to switch the x and y values, and then solve for y again.
f(x)=-3x+5
y = -3x + 5
x = -3y + 5
x + 3y = 5
3y = 5 - x
3y = -x + 5
y = -x/3 + 5/3
