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nirvana33 [79]
3 years ago
5

Elizabeth hopes to get at least a 90 average on her science tests. She has one more test before the end of the school year. Her

past test scores are 79,
94, 91, and 92. Write and solve an inequality the represents this situation. Explain to her how she can determine what the lowest score she can earn on her final test and still reach her goal.
Mathematics
1 answer:
aliya0001 [1]3 years ago
8 0
(79 + 94 + 91 + 92 + x) / 5 > = 90 (thats greater then or equal)
(356 + x) / 5 > = 90....multiply both sides by 5, eliminating the 5 on the left 
356 + x > = 90 * 5
356 + x > = 450
x > = 450 - 356
x > = 94......lowest score she can earn is 94
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Answer:

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Read 2 more answers
Slope Intercept Form And Equations From Graphs
r-ruslan [8.4K]

Answer:

1. Choice B

2.  Choice C

3.  X=-2

4.  Choice A

5. y = 5/2 x + 5

Step-by-step explanation:

1.  

   the slope is down 3 over 2     m =-3/2

point slope form

y-y1= m (x-x1)

y-y1 = -3/2 (x-x1)

Choice B


2.  (-3,-1)  (1/2,2)

slope = (y2-y1)/(x2-x1)

m=(2--1)/(1/2--3)  = (2+1)/(1/2+3) = 3/(3.5) =  multiply top and bottom by 2

  m = 6/7

point slope form

y-y1 = m(x-x1)

y--1 = 6/7 (x--3)

y+1 =6/7 (x+3)

multiply by 7

7y+7 = 6(x+3)

7y+7 = 6x+18

subtract 7y from each side

7 = 6x-7y+18

subtract 18 from each side

-11=6x-7y

Choice C


3.  x=-2

This is a vertical line, the value of x never changes


4.   (-1,2) (1,-4)

slope =(y2-y1)/(x2-x1)

      = (-4-2)/(1--1) = -6/(1+1) = -6/2 = -3

point slope form

y-y1 = m(x-x1)

y-2 = -3(x--1)

y-2 = -3(x+1)

y-2 = -3x-3

add 2 to each side

y = -3x-1

Choice A


5.  (-2,0)  (0,5)

the y intercept is 5

slope is change in y over change in x

slope =(y2-y1)/(x2-x1)  = (0-5)/(-2-0) = -5/-2 = 5/2

slope intercept form

y= mx+b

y = 5/2 x + 5



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3 years ago
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