Just find the slope between the points
basically find (f(10)-f(7))/(10-7)
f(7)=7^2-3(7)-4=49-21-4=24
f(10)=10^2-3(10)-4=100-30-4=66
slope=(66-24)/(10-7)=42/3=14
average rate of change is 14
Answer:
y = (-3/4)x - 4
Step-by-step explanation:
The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.
Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.
We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:
y - y1 = m(x - x1)
y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)
y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3
y = (-3/4)x - 3 - 1
y = (-3/4)x - 4
Y=mx+b is the formula you need to get it in
start with the equation 8x-2y=5
so we want to get y by itself and everything else on the right side of the equation. to do this first subtract -8x from the left side and put it on the right side. this step would look like this:
8x-2y=5
-8x-2y=5 -> -2y=5-8x
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next take and divide -2 from both sides of the equation. this would look like this:
-2y= 5 -8x
÷-2y=÷-2÷-2 -> y= -5/2 +4x
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so your new equation is y=4x-5/2 y=mx+b tells you the slope and y-intercept. m=slope and b=y-intercept. so in this case 4 is your slope and -5/2 is your y-int
Answer:
7x + 5y ≥ 400
Step-by-step explanation:
Given:
Swimming burns = 7 calories per minute
Yoga burns = 5 calories per minute
At least calories burn = 400
Total minutes of swimming = x
Total minutes of yoga = y
Find:
Inequality
Computation:
7 calories per minute(Total minutes of swimming) + 5 (Total minutes of yoga) ≥ 400
7x + 5y ≥ 400
