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3 years ago

What would the ewuation be if a line goes through points -7,10 and 1,4

1 answer:

8 0

Do y-y over x-x
So 10-4 = 6 and -7 - 1 = -8
6/-8 = -.75 is your slope
plug it into a y= Mx + b equation along with a y and x pair
4 = -.75(1)+ b
4 = -.75 + b
Solve the equation which gets you to b= 4.75
So y = -.75x+ 4.75 is your answer

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NEED HELP ASAP PLEASE!!

qwelly [4]

Option D:

$$y=\frac{5x-2}{x}$

Solution:

Given function:

$$y=\frac{-2}{x-5}$

To find the inverse of the function.

Inverse of a function:

If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.

$$y=\frac{-2}{x-5}$

Interchange the variables x and y.

$$x=\frac{-2}{y-5}$

Now, solve for y.

Multiply both sides by (y - 5).

$$x(y-5)=-\frac{2}{y-5}(y-5)$

Cancel the common factors, we get

$x(y-5)=-2$

Divide by x on both sides.

$$y-5=-\frac{2}{x}$

Add 5 on both sides.

$$y=-\frac{2}{x}+5$

$$y=-\frac{2}{x}+\frac{5}{1}$

To make the denominator same, multiply the 2nd term by $\frac{x}{x}$ .

$$y=-\frac{2}{x}+\frac{5x}{x}$

$$y=\frac{-2+5x}{x}$

$$y=\frac{5x-2}{x}$

Option D is the correct answer.

8 0

2 years ago

What is 3x+2y=-13 3x+4y=1

Zepler [3.9K]

Answer:

The values are

x = -25/9 = -2 7/9

y = 7/3 = 2 1/3

Step-by-step explanation:

3x + 2y = -13 --------eqn 1

3x + 4y = 1-------------eqn2

Using eqn 2 to get the value of y

3x + 4y = 1

4y = 1 - 3x

Dividing both sides by 4,to get y

4y/4 =( 1 -3x) / 4

y = (1 - 3x) / 4

Since we've gotten the value for y, substitute the value into eqn 1

3x + 2y = -13

3x + 2(3x - 1)/4 = -13

Opening the bracket

3x + (6x - 2)/4 = -13

LCM = 4

(12x + 6x - 2) / 4 = -13

18x - 2 / 4 = -13

Then we cross multiply

18x - 2 = -13 * 4

18x - 2 = - 52

18x = -52 + 2

18x = -50

Divide both sides by 18, to get the value of x

18x/18 = -50/18

x = -25/9

or x = -2 7/9

The value of x is now known, so let's go back to eqn 2

Substitute x = - 25/9

3x + 4y = 1

3(-25/9) + 4y = 1

Open the bracket

-75/9 + 4y = 1

Make y the subject of the formula

4y = 1 + 75/9

LCM = 9

4y = (9 + 75)/ 9

4y = 84/9

To get y, divide both sides by 4

4y/4 = 84/9 / 4/1

y =

Note : when division changes to multiplication, it always be in its reciprocal form

y = 84/9 / 1/4

y = 84 * 1 / 9 *4

y = 84/ 36

y = 7/3

y = 2 1/3

4 0

3 years ago

Mr. Wong bought 6 raffle tickets for $4 each. He gave each of his 3 children the same number of tickets. What was the cost of th

ddd [48]

W=cost of one ticket

6w=$4
divide 6 on both sides
w=2/3 dollars per ticket

each child will get two tickets because 6/3 is 2

2/3×2= 4/3= $1.33 per child

5 0

2 years ago

Read 2 more answers

Vada places a box of toys and a box of books together. The box of toys has a length of 5 feet, a width of 3 feet, and a height o

Elena L [17]

Answer:

78 ft³

Step-by-step explanation:

Volume of a rectangular prism = length × width × height

Toy Box