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Aliun [14]
3 years ago
9

-1/3+2z=-5/6 what does z equal? -2/3x+3/7=1/2 what does x equal?

Mathematics
2 answers:
Lubov Fominskaja [6]3 years ago
8 0
-1/3+2z=5/6 2z=5/6+1/3 z=7/6(1/2) Z=7/12 -2/3x+3/7=1/2 -2/3x=1/2-3/7 x=1/14(-3/2) X=-3/28
inessss [21]3 years ago
3 0
- \frac{1}{3} + 3z = - \frac{5}{6} \\ \\ 2z -  \frac{1}{3} = - \frac{5}{6} \\ \\ 2z = - \frac{5}{6} +  \frac{1}{3} \\ \\ 2z = - \frac{1}{2} \\ \\  = - \frac{1}{2 \times 2} \\ \\ z = - \frac{1}{4} \\ \\

The final result is: z = - 1/4 or z = -0.25.

----------


- \frac{2}{3} x +  \frac{3}{7} =  \frac{1}{2} \\ \\ - \frac{2x}{3} +  \frac{3}{7} =  \frac{1}{2} - \frac{2x}{3} =  \frac{1}{2} -  \frac{3}{7} \\ \\ - \frac{2x}{3} =  \frac{1}{14} \\ \\ -2x =  \frac{1}{14} \times 3 \\ \\ x =  \frac{3}{14 \times -2} \\ \\ x = - \frac{3}{28} \\ \\

The final result is: x = - 3/28 or x = -0.1071.
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3 years ago
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andrew-mc [135]

The prediction for average temperature is 53.06° F

Given: The equation for line of best fit:

y = -3.32x + 97.05

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Line of best fit is the line that is drawn through the points and it minimizes the error between the actual data and the predicted data.

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What is a response variable?

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What is predictor variable?

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Let's solve the question that is given:

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x = inches of rain

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Know more on "line of best fit" here: brainly.com/question/14279419

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4 0
1 year ago
Pls show work! questions on pic
Lena [83]

Answer:

a.(10,23)

b.(7,30)

e.(20,20)

Step-by-step explanation:

We are given that

x=Width of garden

y=Length of garden

According to question

x\geq 5

y\geq 20

Perimeter of rectangle=2(x+y)

Where x=Width  of rectangle

y=Length of rectangle

Fencing used =2(x+y)

2(x+y)\leq 80

First we change inequality  into equality

x=5...(1)

y=20...(2)

2(x+y)=80

x+y=40...(3)

Substitute x=0 in equation (3)

y=40

Substitute y=0  in equation (3)

x=40

Substitute x=0 and y=0 in equation (3)

2(x+y)\leq 80

0\leq 80

It is true. Therefore, the  shaded region below the line.

0\geq 5

0\geq 20

These are false equation .Therefore, the shaded region above the line.

Substitute x=5 in equation (3)

5+y=40

y=40-5=35

Substitute y=20 in equation (3)

x+20=40

x=40-20=20

Intersection point of equation (1) and (3) is (5,35) and intersect point of equation (2) and (3) is (20,20).

Now,

a.(10,23)

Substitute in

2(x+y)\leq 80

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it satisfied all inequality.

Hence, it is a solution.

b.(7,30)

7>5

30>20

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it satisfied all inequality.

Hence, it is a solution.

c.(18,25)

18>5

25>20

2(18+25)=86>80

It does not satisfied third inequality

Hence, it is not a solution.

d.(8,35)

8>5

35>20

2(8+35)=86>80

It does not satisfied third inequality

Hence, it is not a solution.

e.(20,20)

2(20+20)=80

20>5

20=20

it satisfied all inequality.

Hence, it is a solution.

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kicyunya [14]

Answer:

1/3

Step-by-step explanation:

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