Answer:
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Step-by-step explanation:
We can find the slope by using the formula
m = (y2-y1)/(x2-x1)
m = (8 - -4)/97-7)
= (8+4)/(7-7)
= 12/0
We cannot divide by 0 so the slope is undefined
Answer:
Assuming the same pace was kept, it would take 9.6 minutes.
Step-by-step explanation:
We can find this by setting up a proportion and then cross multiplying.
5 baskets/6 mins = 8 baskets/x mins
5 * x = 6 * 8
5x = 48
x = 9.6
Let p = the normal price.
Then 7(p - .75)= 2.80
Divide by 7: p - .75 = .40 and p = 1.15
Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
Answer:
It is linear
Step-by-step explanation:
The Y goes up by the same amount as the X (by 4 Y's per 1 X)
