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anyanavicka [17]
3 years ago
9

Find the equation of the line that is perpendicular to y=3y-x=7 and contains the point (2,-1).

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0
First you want to get it into standard form. which would mean you get the x of the side of the y and divide everything by the y's coefficient in this case 3.

3y-x=a

3y=x+a

y=1/3x+a

Now your going to want to turn this into a perpendicular li e which means you flip the coefficient and make it negitive

y=-3x+a

then we fill in the points.

-1=-3(2)+a

Solve

-1=-6+a

-1+6=a

5=a

Now put it in standard form.

y=-3x+5
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In a teacher's math course, a linear regression line was calculated to predict
Marat540 [252]

The given equation is the best line that approximates the linear

relationship between the midterm score and the score in the final exam.

  • AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. <u>E. None of these</u>.

Reasons:

The given linear regression line equation is; \hat y = 25.5 + 0.82·\mathbf{\hat x}

Where;

\hat y = Final exam score;

\hat x = The midterm score;

AJ score in the first test, \hat x = 90

AJ's actual score in the exam = 99

Required:

The value of AJ's residual

Solution:

By using the regression line equation, we have;

The predicted exam score, \hat y = 25.5 + 0.82 × 90 = 99.3

  • The residual score = Predicted score - Actual score

∴ AJ's residual = 99.3 - 99 = 0.3

AJ's residual = 0.3

Therefore, the correct option is option E;

  • <u>E. None of these</u>

Learn more about regression line equation here:

brainly.com/question/9339658

brainly.com/question/7361586

brainly.com/question/14747095

6 0
2 years ago
6x-5y=5<br> 3x+5y=4<br> The x-coordinate of the solution to this system of equation is
Anna35 [415]

Answer:

x=1

Step-by-step explanation:

1) 6x-5y=5

2) 3x+5y=4

ets perform the following operation

1) +2), This leads to the following equation:

6x+3x-5y+5y=5+4

From where we obtain the solution for x

9x=9

x=1

3 0
3 years ago
What slope does a horizontal line have?
ioda

Answer:

Step-by-step explanation:

Horizontal

5 0
3 years ago
Read 2 more answers
How many 25 milliliter doses of plant food can Tim get from a 1-liter bottle of plant food?
Harlamova29_29 [7]

For this case, the first thing we should do is take into account the following conversion:

1L = 1000ml

Therefore, the 25 ml dose number is given by:

N = \frac {1000} {25}\\N = 40

Answer:

The number of doses that can be obtained from a bottle of 1 liter of vegetable food is:

N = 40

6 0
3 years ago
Which of the following is a polynomial with degree 3 and zeros –3 and 1 + i?
solmaris [256]
Take the complex zero 1+i. There must be another zero 1-i to balance it, so we have the factors (x-1-i)(x-1+i)=x²-2x+1+1=x²-2x+2.
So the polynomial is (x+3)(x²-2x+2)=x³-2x²+2x+3x²-6x+6=x³+x²-4x+6, option D.
8 0
3 years ago
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