Answer:
p - 5q = 4qr where
q = 4 and r = -1 by applying these value
p - 5(4) = 4(4)(-1)
p - 20 = -16
p = -16 + 20
p = 4
Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
2 and 1/2 gallons of paint because if 2/5 is painted with 1 gallon, then 4/5 would be 2 gallons and the last 1/5 would be half a gallon.
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
Answer:
(y-2)÷3=x
Step-by-step explanation:
y=3x+2
y-2=3x
(y-2)÷3=x
This answer could also be written as a fraction: y-2 over 3, equals x.
