Let's say the number is represented by x.
Five times the number is 5x.
5x - 58 = -23 (Add 58 to both sides)
5x = 35 (divide both sides by 5)
x = 7
The number is 7.
The answer is 2 and then you would have two boys remaining out of the 8
9514 1404 393
Answer:
a) average rate = (total distance)/(total time)
b) Rave = 2·R1·R2/(R1 +R2)
c) cheetah's average rate ≈ 50.91 mph
Step-by-step explanation:
a) Let AB represent the distance from A to B. Let t1 and t2 represent the travel times (in hours) on leg1 and leg2 of the trip, respectively. Then the distances traveled are...
First leg distance: AB = 70·t1 ⇒ t1 = AB/70
Second leg distance: AB = 40·t2 ⇒ t2 = AB/40
The average rate is the ratio of total distance to total time:
average rate = (AB +AB)/(t1 +t2)
average rate = 2AB/(AB/70 +AB/40) = 2/(1/70 +1/40) = 2(40)(70)/(70+40)
average rate = 560/11 = 50 10/11 . . . mph
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No equations are given, so we cannot compare what we wrote with the given equations. In each step of the solution, we have used the rules of algebra and equality.
b) For two rates over the same distance (as above), the average is their harmonic mean:
average rate = 2r1·r2/(r1+r2)
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c) The cheetah's average rate was 50 10/11 mph ≈ 50.91 mph.
YOU HAVE TO FIND THE SLOPE m
The formula to find the slope is m=(y₂-y₁)/(x₂-x₁)
Since we have the coordinate of each point, then we can calculate the slope m
7) (-6-3)/(2+4) = -9/6 =-3/2 (slope negative so the function falls
8) (-1-1)/(7-7) = -2/0 (tan ---> ∞ ) VERTICAL
9) (-2+2)/(5-3) = 0/2 = 0 slope = 0 ===> Horizontal
