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Reil [10]
3 years ago
11

Starting at home, Jessica traveled uphill to the grocery store for 18 minutes at just 20 mph. She then traveled back home along

the same path downhill at a speed of 60 mph. What is her average speed for the entire trip from home to the grocery store and back?
It takes 45 minutes for 4 people to paint 5 walls. How many minutes does it take 6 people to paint 4 walls?

It takes 52 minutes for 5 people to paint 5 walls. How many minutes does it take 20 people to paint 20 walls?

It takes 48 minutes for 7 people to paint 7 walls.How many minutes does it take 20 people to paint 20 walls?

Mathematics
1 answer:
N76 [4]3 years ago
3 0

Try this solution with short explanation; note, the suggested way is not the shortest one; the answers are marked with red colour.

Task no. 2: another solution is 45* (4/5) / (6/4) = 24 min.

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8 0
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How do you begin to solve x^3-3x^2 > x-3?
aliya0001 [1]
For any polynomial, first check to see if it factors. Then you can set each factor equal to zero.
x^3 -3x^2 -x+3 \ \textgreater \  0 \\  \\ x^2 (x-3) - (x-3) \ \textgreater \  0 \\  \\ (x^2 -1)(x-3) \ \textgreater \  0 \\  \\ (x-1)(x+1)(x-3) \ \textgreater \  0

The three zeros are -1,1,3

Next plug in values in each interval between zeros to test whether its greater than 0.

Try x values: -2,0,2,4

x = -2 yields a negative result, the interval x< -1 is Not a solution.

x = 0 yields a positive result, the interval -1
x = 2 yields a negative result, the interval 1
x = 4 yields a positive result, the interval x>3 IS a solution
4 0
3 years ago
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