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Llana [10]
3 years ago
10

Claire's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homewo

rk and their weekly quiz scores. This relationship can be represented by the equation y represented by the equation y = 56 + 7.1x, where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y = 92?
the change in expected quiz for every additional one hour students spend on their homework.

a student's expected quiz score if they spent 1 hours on their homework.

the number of hours a student should spend on their homework to expect a score of 92 on the quiz.

a student's expected quiz if they spent 92 hours on their homework.​
Mathematics
1 answer:
grandymaker [24]3 years ago
8 0

Answer: t = 5.7 hours

Step-by-step explanation:

y=56+7.1x where x is the time spent studying.  If y=92, this equation would preduct that the student spent t hours studying.  Find t:

92=56+7.1x

36=7.1t

t = 5.07 hours to achieve the 92 score.

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Solve each system by elimination. Check the solution in both of the original equations.
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Answer:

After finding the solution of given equations by elimination method

-3x-3y=12

-9x+3y=-24

we get the value of x=1 and y= -5

Step-by-step explanation:

-3x-3y=12 is eq A

-9x+3y= -24 is eq B

To find out value of x and y we will use elimination method

To find value of x add eq A and eq B

(-3x-3y)+ (-9x+3y)= 12 + (-24)\\-3x-3y-9x+3y= 12-24\\-12x = -12\\dividing \,\,by -12\,\,on\,\, both\,\,sides\\\frac{-12x}{-12} = \frac{-12}{-12} \\x= 1

Now to find value of y put x=1 in eq A

(-3 \times 1 )- 3 y=12\\-3 -3y =12\\\\adding\,\,3\,\,on\,\, both\,\,sides\\-3y=12+3\\\\dividing\,\,-3\,\,on\,\,both\,\,sides\\y= \frac{15}{-3} \\y= -5

so the value of

x= 1

and

y= -5

For checking the solution

putting value of x and y in eq A

-3x-3y=12\\-3(1)-3 (-5)=12\\-3+15=12\\12=12\\

Hence proved

Putiing value of x and y in eq B

-9x+3y=  -24\\-9(1) + 3 (-5) = -24\\-9 -15 = -24\\-24= -24\\

Hence proved

Keywords: Solving Linear System

  • Learn more about Solving Linear System at: brainly.com/question/9045597
  • brainly.com/question/3739260
  • brainly.com/question/13168205

#learnwithBrainly

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