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2 years ago

Simplify (4a^(5/3))^3/2

Mathematics

1 answer:

frozen [14]2 years ago

4 0

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Two athletes practice for a marathon by running back and forth on a 11-mile course. They start running simultaneously, one at a

maks197457 [2]

Answer:

Faster runner speed: 11 mph

Slower runner speed: 9 mph

Distance from starting point: 9.9 miles

Step-by-step explanation:

Let the slower runner speed be: x

Faster runner speed: x+2

1 hour 6 minutes = 1.1 hours

Slower: 1.1(x) = 1.1x miles

Faster: 1.1(x+2) = 1.1x+2.2 miles

This means that the faster runner had gone 2.2 miles more than the slower runner.

1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)

1.1x > 11 - 2.2 miles

1.1x > 8.8 miles

x > 8.8 / 2.2 miles

x > 8 mph

1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)

x < 11 / 1.1 miles

x < 10 miles

8 < x < 10

Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.

Slower runner distance to the end:

1.1(9) = 9.9 miles

11 - 9.9 = 1.1 miles

Faster runners distance from the end (when coming back)

1.1(9+2) = 1.1(11) = 12.1 miles

12.1 - 11 = 1.1 miles

The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point

7 0

2 years ago

-3(4x+5) please help<br>

Natasha_Volkova [10]

Answer:
-12x-15
explanation:
you multiply -3 by 4x, gives u -12x and then you multiply -3 by 15 which gives you -15
then you put it in an equation
-12x-15

7 0

3 years ago

Find the equation of the linear function represented by the table below in slope-

Sladkaya [172]

Answer:

y = -4x - 1

Step-by-step explanation:

Do the slope formula first to find the slope. Next do point slope form to find the y intercept and write the equation in slope intercept form.

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2 years ago

Show all work to identify the asymptotes and zero of the faction f(x) = 4x/x^2 - 16.

Reptile [31]

Answer:

asymptotes: x = -4, x = 4
zeros: x = 0

Step-by-step explanation:

The vertical asymptotes of the rational expression are the places where the denominator is zero:

x^2 -16 = 0

(x -4)(x +4) = 0 . . . . . true for x=4, x=-4

x = 4, x = -4 are the equations of the vertical asymptotes

The zeros of a rational expression are the places where the numerator is zero:

4x = 0

x = 0 . . . . . . divide by 4

5 0

3 years ago

The mean high temperature on a particular day in January is 31 degrees F and the standard deviation is 8.7 degrees. One year, th

marin [14]

Answer:

jsjs gnckdoesosensjkcjbdjd

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2 years ago