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Aleks [24]
3 years ago
9

Team a can wash all the windows in the school in x hours. It takes team B 13 hours to do the same job. If the teams work togethe

r, they can complete the job in 8.5 hours. How long does it take team A to do the job alone?
Mathematics
2 answers:
MariettaO [177]3 years ago
4 0

Answer:

it will take A 4.5 hour

Step-by-step explanation:

Say both teams are of same man power, and here we have two teams

A and B

B takes 13 hours to finish a task.

A&B takes 8.5 hours to finish same tasks

Hence it will take A 13-8.5=4.5 hours to complete the task

uranmaximum [27]3 years ago
3 0

Answer:

Step-by-step explanation:

Given:

Team a wash the windows = x hours

Team B = 13 hours

Team a + Team b = 8.5 hours

Assuming the time taken for team a amd team b be a and b respectively.

To wash 13 windows, Team a will do so in x hours = x × 13

To wash x number of windows, Team b will do so in x hours = x × 13

a + b = 8.5 hours

So in 13x hours, the two teams can wash 13 + x windows. To paint just a window, they'll need 1/(13 + x) hours,

8.5 = 13x/(x + 13)

4.5x = 110.5

Solving for x,

110.5/4.5 = x

x = 24.56 hours

Team a will require 24.56 hours to do the work alone.

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3 years ago
consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i
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we have

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we know that

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so

in this problem

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equate the function to zero

x^{2} +2x-15=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} +2x=15

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +2x+1=15+1

x^{2} +2x+1=16

Rewrite as perfect squares

(x+1)^{2}=16

Square root both sides

(x+1)=(+/-)\sqrt{16}

(x+1)=(+/-)4

x=-1(+/-)4

x1=-1+4=3

x2=-1-4=-5

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therefore

<u>the answer is</u>

the x-intercepts are the points (3,0) and (-5,0)

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