Can you page 1214 magazines the cost of each magazine was the multiple of three what are the possible prices of the magazines

When it is easier to use the point-slope form to write the equation of a line and when it is easier to use the slope-intercept f

Pani-rosa [81]

Point slope form is used when we have the information of at least two coordinates that lie on the line

For example:

Given that coordinate (3, 4) and (6, 7) lies on a straight line.

We work out the equation of the line by substituting the two coordinates into the formula (y - y₁) = m(x - x₁) where (x₁, y₁) could be either (3, 4) and (6, 7).

We would need to use both coordinates to work out the gradient (m) by using the formula:
$m= \frac{vertical distance}{horizontal distance} = \frac{y_2-y_1}{x_2-x_1}$
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The slope intercept form is used when we are given enough information to work out the gradient as well as the y-intercept.

For example:
Given two coordinates (3, 5) and (0, 9)
This information can help to find the gradient and the y-intercept.
The y-intercept would be at 9 because the (0, 9)
We calculate the gradient m
Then substitute into y=mx+c which is the slope intercept form.

3 0

3 years ago

The Boy Scouts self popcorn Ethan sold 9 small

NARA [144]

Answer:

The cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag of popcorn = $4.75

Step-by-step explanation:

Here, let us assume the cost of 1 small bag of popcorn = $ m

And, the cost of 1 large bag of popcorn = $ n

So, the cost of 9 small bag = 9 x ( cost of 1 small bag) = 9 x (m) = 9 m

and the cost of 2 large bag = 2 x ( cost of 1 large bag) = 2 x (n) = 2 n

Also, cost of 9 small + 2 large bag of popcorn sold by Ethan for $ 36.05 .

⇒ Total cost of 9 small + 2 large bag of popcorn = 9 m + 2 n

⇒ 9 m + 2 n = $ 36.05 .......... (1)

Also, the cost of 5 small bag = 5 x ( cost of 1 small bag) = 5 m

and the cost of 7 large bag = 7 x ( cost of 1 large bag) = 7 n

Also, cost of 5 small + 7 large bag of popcorn sold by Jack for $ 48 .

⇒ Total cost of 5 small + 7 large bag of popcorn = 5 m + 7 n

⇒ 5 m + 7 n = $ 48 .......... (2)

Now, solving (1) and (2) for the values of m and n , we get

9 m + 2 n = 36.05

5 m + 7 n = 48

Multiply (1) with (-7) and (2) by 2 , add both equation we get:

-63 m - 14 n + 10 m + 14 n = -252.35 + 96

or, - 53 m = -156.35

or, m = 2.95

Now, put the value of m in (1), we get: 5 ( 2.95) + 7 n = 48

or, n = 33.25 /7 = 4.75

Hence the cost of 1 small bag of popcorn = $2.95

The cost of 1 large bag = $4.75

6 0

3 years ago

Read 2 more answers

A cab driver charges a fixed rate of $3 plus an additional $1.50 for each mile driven. When representing this situation with a f

Andreas93 [3]

The independent variable would be the fixed rate of $3 because the amount for each mile driven changes based on how far they drive

3 0

2 years ago

If michelle rollerblades around a circular track with a radius of 80 meters, how far does she skate? use 3.14 for pi. round to t

Andrew [12]

I believe it’s A but not quite sure

3 0

3 years ago

Read 2 more answers

Find the x- and y-intercepts of the line<br> (-6.-6), (2, -4)<br> The x-intercept is

Marianna [84]

Answer:

x-int = 18

y-int = -9/2

Step-by-step explanation:

Use slope-intercept form y=mx + b

To find the slope, substitute the two points into the slope formula and solve.

$m = \frac{y2 - y1}{x1 - x1} \\m = \frac{-4 - (-6)}{2 - (-6)} \\m = \frac{2}{8}\\m= \frac{1}{4}$

Substitute a random point (2,-4) and m=1/4 into slope-intercept form

y = mx+b

-4 = 1/4 (2) + b

-4 = 2/4 + b

-4 = 1/2 + b

Isolate b to solve

b = -4 - 1/2

b = -8/2 - 1/2

b = -9/2 <= this is the y-intercept

b is the y-intercept in slope-intercept form

Substitute b= -9/2 and m=1/4 to get the equation of the line.

y = 1/4 x - 9/2

Substitute y for 0 to find the x intercept

y = 1/4 x - 9/2

0 = 1/4 x - 9/2

9/2 = 1/4 x

x = (9/2) / (1/4)

x = (9/2) X (4/1)

x = 36/2

x = 18

4 0

3 years ago