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bija089 [108]
4 years ago
15

Find an equation of a line that is parallel to y = 3x - 9 and passes through the point (1, 1). *

Mathematics
1 answer:
rosijanka [135]4 years ago
8 0

Answer:

y=3x-2

Step-by-step explanation:

For this problem, you can use the point-slope formula: y-y1=m(x-x1), with x1 and y1 being from the given coordinate, and m being the slope (which is 3 that can be seen in the equation). Since we're finding a line that is parallel to this line, the slopes of both equations are the same.

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

y-1=3x-3

y=3x-2

Check:

(1)=3(1)-2

1=3-2

1=1

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Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w
Savatey [412]

Answer:

a. y= 130x + 350 + \epsilon

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

y=\alpha x + \beta + \epsilon

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

\alpha = 130 y \beta = 350  Obtaining:

y= 130x + 350 + \epsilon.

b.  In a simple linear regression model the value of y-bar represents the average of all values ​​of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.

5 0
3 years ago
The area of two rectangles is given by he functions: area of a rectangle A:f(x)= 4x2+6x area of rectangle B:g(x)=3x2-x Which fun
dusya [7]

Answer:

x^2+7x if you are asked to find the difference of a function f and function g

Step-by-step explanation:

We are asked to A-B or f(x)-g(x).

(4x^2+6x)-(3x^2-x)

4x^2+6x-3x^2+x

The like terms I'm going to pair up.

4x^2-3x^2+6x+x

1x^2          +7x

x^2            +7x

The answer is x^2+7x

7 0
3 years ago
Read 2 more answers
9. What is the distance along the x axis from order pairs -8, 6 and 4,6
Blababa [14]

Answer:

12 units

Step-by-step explanation:

got it right on edg

5 0
3 years ago
Target buys video games for $25/game. They markup the price by 75%. How much do
AVprozaik [17]

9514 1404 393

Answer:

  $43.75

Step-by-step explanation:

The amount of the markup is ...

  $25 × 0.75 = $18.75

The final cost to the customer is ...

  selling price = purchase price + markup

  = $25.00 + 18.75 = $43.75

They charge customers $43.75 for a videogame.

3 0
3 years ago
Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi
KiRa [710]

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

the  lines represented by the vector equations are:

r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if \dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}

here;

d_1 = (-1, \ 2, \ -3)

Thus;

r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t

d_2 =(2, \ -4, \  +6)

s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t

∴

\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}

Hence, we can conclude that r(t) and s(t) are parallel.

6 0
3 years ago
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