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2 years ago

6

Over 5 days this week, Steve worked 8 hours, 9 hours, 10 hours, 8 hours, and 7 hours. What is the median number of hours Steve w

orked this week?

1 answer:

Paladinen [302]2 years ago

8 0

7 it’s 7 because I did this already and remembered the answer to it

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(5x^3-8x^2+9x+12)/(x-3)<br><br> please answer with sentences on how to do it step by step. thanks!

Anastaziya [24]

Answer:

$5x^2+7x+30+\frac{102}{x-3}$

Step-by-step explanation:

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}5x^3-8x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{5x^3}{x}=5x^2\\\mathrm{Quotient}=5x^2\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}5x^2:\:5x^3-15x^2\\\mathrm{Subtract\:}5x^3-15x^2\mathrm{\:from\:}5x^3-8x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=7x^2+9x+12\\\mathrm{Therefore}\\=5x^2+\frac{7x^2+9x+12}{x-3}$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}7x^2+9x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{7x^2}{x}=7x\\\mathrm{Quotient}=7x\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}7x:\:7x^2-21x\\\mathrm{Subtract\:}7x^2-21x\mathrm{\:from\:}7x^2+9x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=30x+12\\\mathrm{Therefore}\\=5x^2+7x+\frac{30x+12}{x-3}\\$

$\mathrm{Divide\:the\:leading\:coefficients\:of\:the\:numerator\:}30x+12\\\mathrm{and\:the\:divisor\:}x-3\mathrm{\::\:}\frac{30x}{x}=30\\\mathrm{Quotient}=30\\\mathrm{Multiply\:}x-3\mathrm{\:by\:}30:\:30x-90\\\mathrm{Subtract\:}30x-90\mathrm{\:from\:}30x+12\mathrm{\:to\:get\:new\:remainder}\\\mathrm{Remainder}=102\\\mathrm{Therefore}\\=5x^2+7x+30+\frac{102}{x-3}$

6 0

2 years ago

Read 2 more answers

How do you work out the prince of a gallon of gas dropped from the summer high price of $3.50 to the winter low price of $2.87.

seraphim [82]

Answer:

4.50%

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

NEED THE ANSWER ASAP PLEASE

ValentinkaMS [17]

Answer:

X = -2

Step-by-step explanation:

Vertical lines go up and down. That means the x value is constant and the y value changes. We have an x value of -2

X = -2

8 0

2 years ago

What is 2/3(9+x)=5(4-x)

choli [55]

The answer should be 6. hope this helped

3 0

2 years ago

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A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?

inessss [21]

Answer:

B. Yes, because ED is perpendicular to DT which makes a right angle.

Step-by-step explanation:

Plot the given points and connect in pairs to get a triangle.

Visually we can say it is a right triangle as legs TD and ED seem perpendicular.

Let's confirm this by finding the slopes.

<u>Slope of TD:</u>

m = (-1 - 4)/(1 -(-2)) = -5/3

<u>Slope of ED:</u>

(-1 - 2)/ (1 - 6) = -3/-5 = 3/5

<u>Product of the slopes is:</u>

-5/3*3/5 = -1

This confirms DT⊥ED

Correct choice is B

6 0

2 years ago