Answer: 7 laps
Step-by-step explanation:
The athlete planned to run 3 miles
1 lap = 3/7 miles
x laps = 3 miles
by proportion :
x × 3/7miles = 3 miles
x = 3 ÷ 3/7
x = 3 x 7/3
x = 7
Therefore: the athlete will run 7 laps
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Answer:
ill guess -2 for u
Step-by-step explanation:
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
A graphing calculator can do a linear regression on these points very easily. The y-intercept is 107.
_____
If you want to do this by hand, you can use the 2-point form of the equation for a line, then evaluate for x=0.
.. y = (100 -102)/(35 -25)*(x -25) +102
.. y =-2/10*(0 -25) +102
.. y = 107