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3 years ago

Find the slope and y-intercept of the following graph.

Mathematics

1 answer:

Orlov [11]3 years ago

6 0

Answer: y = -5*x + b

Step-by-step explanation:

A line is written as:

y = a*x + b

where a is the slope and b is the y-intercept.

IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:

a = (y2 - y1)/(x2 - x1)

In this case we can see that the line passes through the points:

(0, 2) and (1, - 3)

Then the slope is:

a = (-3 - 2)/(1 - 0) = -5

Then our line is:

y = -5*x + b

And when x = 0, y = 2 then:

y = 2 = -5*0 + b

2 = b

Our line is:

y = -5*x + b

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3/4 divided by 1/5 PLEASE ANSWER

sergejj [24]

Answer:

3.75

Step-by-step explanation:

To make it a fraction form answer, you multiply the dividend numerator by the divisor denominator to make a new numerator.

Furthermore, you multiply the dividend denominator by the divisor numerator to make a new denominator:

To make the answer to 3/4 divided by 1/5 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

15/4 = 3.75

The answer is rounded to the nearest four decimal points if necessary.

15/4 is an improper fraction and should be written as 3 3/4.

3 0

3 years ago

Read 2 more answers

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faltersainse [42]

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Step-by-step explanation:

Let,

Price of one vegetarian special lunch = x

Price of one chicken special lunch = y

According to given statement;

21x+40y=467 Eqn 1

28x+36y=484 Eqn 2

Multiplying Eqn 1 by 28

$28(21x+40y=467)\\588x+1120y=13076\ \ \ Eqn\ 3$

Multiplying Eqn 2 by 21

$21(28x+36y=484)\\588x+756y=10164\ \ \ Eqn\ 4$

Subtracting Eqn 4 from Eqn 3

$(588x+1120y)-(588x+756y)=13076-10164\\588x+1120y-588x-756y=2912\\364y=2912$

Dividing both sides by 364

$\frac{364y}{364}=\frac{2912}{364}\\y=8$

Putting y=8 in Eqn 1

$21x+40(8)=467\\21x+320=467\\21x=467-320\\21x=147$

Dividing both sides by 21

$\frac{21x}{21}=\frac{147}{21}\\x=7$

The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

5 0

3 years ago

Devin wants to use his 12% employee discount to buy a video game that is priced at $57.80. A 8.75% sales tax is applied to the d

lesantik [10]

Answer:

43.73

Step-by-step explanation:

use a calculater

5 0

3 years ago

Read 2 more answers

A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions ar

34kurt

Answer:

The probability it will land on green every time is $\frac{1}{27}$ .

Step-by-step explanation:

We are given that a spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red, two are colored green, and one is colored yellow.

The pointer is spun three times.

<u>As we know that the probability of an event is described as;</u>

Probability of an event = $\frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}$

Here, the favorable outcome is that the spinner will land on green every time.

So, the number of green regions = 2

Total number of regions = 3(red) + 2(green) + 1(yellow) = 6 regions

<em>Now, the probability it will land on green every time is given by;</em>

Probability = $\frac{2}{6}\times \frac{2}{6}\times \frac{2}{6}$

= $\frac{1}{3}\times \frac{1}{3}\times \frac{1}{3}$

= $\frac{1}{27}$

Hence, the probability it will land on green every time is $\frac{1}{27}$ .

4 0

3 years ago

Your friend sells half her stock of keyrings every hour. She has 24 boxes at the of the sale. How many boxes will she have left

Law Incorporation [45]

At 0 hours: 24 boxes
After 1 hour: 24/2 = 12 boxes
After 2 hours: 12/2 = 6 boxes
After 3 hours: 6/2 = 3 boxes

She will have 3 boxes after 3 hours.

Hope this helps :)

5 0

3 years ago