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Simora [160]
3 years ago
6

Given the line of the best fit for a set of data points with equation y=-5x-2.5 what is the residual for the point (3,6)

Mathematics
1 answer:
HACTEHA [7]3 years ago
7 0

Answer:

The residual of the point (3,6) in the equation y=-5(x)-2.5 is = 23.5

Step-by-step explanation:

We have been given point (3,6) where x=3.

Now the equation is y=-5(x)-2.5.

Plugging the value of x=3 in the equation of y=-5(x)-2.5,

we have to find the predicted value of y and y=-5(3)-2.5 =-15-2.5=-17.5.

So y predicted =-17.5.

To find the residual point we have to subtract the actual value from the predicted value.

As actual value of y=6 along with the points (3,6).

Residual point = Actual value - Predicted value.

                        =6 -(-17.5) =23.5

So the residual for the point (3,6) is 23.5.

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Solve the following system of equations: x − 2y = 6 2x − 4y = 10
JulsSmile [24]

Answer:

x = -2

y = 1

Step-by-step explanation:

x−2y=6

<em>Multiply both sides by 2</em>

x-4y=12

<em>Subtract x from both sides</em>

-4y=12-x

2x−4y=10

<em>Subtract 2x from both sides</em>

-4y=10-2x

Put the 2 equations together:

12-x=10-2x

<em>Add x to both sides</em>

12=10-x

<em>Subtract 10 from both sides</em>

2= -x

<em>Multiply both sides by -1</em>

x= -2

x−2y=6

<em>Multiply both sides by 2</em>

2x-2y=12

<em>Add 2y to both sides</em>

2x=12+2y

2x−4y=10

<em>Add 4y to both sides</em>

2x=10+4y

x−2y=6

<em>Multiply both sides by 2</em>

2x-2y=12

<em>Add 2y to both sides</em>

2x=12+2y

2x−4y=10

<em>Add 4y to both sides</em>

2x=10+4y

Put the 2 equations together:

12+2y=10+4y

<em>Subtract 10 from both sides</em>

2+2y=4y

<em>Subtract 2y from both sides</em>

2=2y

y=1

7 0
3 years ago
Consider the sequence below. What is the 10th term of the sequence?
ahrayia [7]

Answer:

the right answer is a) 23

Step-by-step explanation:

because when we analyze the sequence it is observed that all the numbers are added the value of 3, therefore when arriving at position 10 the sum is 23

7 0
3 years ago
I need help smh..anyways can someone help me? like asap-
vredina [299]

Answer: x<-1

Step-by-step explanation:

The answer is A!

7 0
2 years ago
Read 2 more answers
Find the additive inverse of each rational number.<br><br> 1.- 1/2 2. 0.25 3. 9/10 4. -0.4
Lina20 [59]

Answer:

1. 1/2

2. -0.25

3.-9/10

4. 0.4

8 0
3 years ago
What's 86/8 in a mixed number
dsp73

Answer:

10 6/8 or 10 3/4

Step-by-step explanation:

Calculate out how many times the denominator goes into the numerator. To do that, divide 86 by 8 and keep only what is to the left of the decimal point:

86 / 8 = 10.7500 = 10

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

86 - (8 x 10) = 6

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

10 6/8

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 2, which is the greatest common factor, to get the final answer. 86/8 as a Mixed Number is:

10 3/4

3 0
3 years ago
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