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BigorU [14]
3 years ago
9

WILL MARK BRAINLIEST

Mathematics
2 answers:
koban [17]3 years ago
8 0
Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. So the y-intercept of y = 3x + 2 is 2
Eddi Din [679]3 years ago
7 0

Answer:

The y-intercept of the function​ ​ y=3x+2 ​ ​​is equal to the y-intercept of the function represented in the graph.

Step-by-step explanation:

The slope intercept form of a line.

y=mx+b          .... (1)

Where, m is slope and b is y-intercept of the line.

The given function is

y=3x+2          .... (2)

On comparing (1) and (2), we get

m=3

b=2

Therefore slope of given function is 3 and y-intercept of given function is 2.

From the given graph it is noticed that the line intersects the y-axis at y=2, therefore the y-intercept of the function represented in the graph is 2.

Therefore y-intercept of the function​ ​ y=3x+2 ​ ​​is equal to the y-intercept of the function represented in the graph.

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A bus company took a tour bus on a ferry when there were 30 people aboard. The ferry charged the bus company $180. The following
OLEGan [10]
Problem: A bus company took a tour bus on the ferry when there were 30 people aboard. The ferry charged the bus company $180. The following week, the bus had 50 people on board and the ferry charged them $220. How much is the "base rate" for the empty bus? How much does each person cost? Show this using y = mx + b form.

Solution:
Let x = the number of people on the bus
Let y = the total cost for the bus with its passengers to use the ferry.

Then, when there are 30 people on the bus (x = 30), the cost was $180 (y = 180). This means the point (x, y) = (30, 180).
Also, when there were 50 people on the bus, the cost was $220. So that is the point (50, 220).

You see - we have two points and so we can write the equation of a line that goes through those points. The first thing we have to do is find the slope.

The slope of the line joining two points is the rise divided by the run. That means

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

So we put in the values of (30, 180) and (50, 220):

m = (220 - 180) / (50 - 30)
m = 40 / 20
m = 2.

The slope is 2. Now we can write it in the form y = mx + b, using 2 for m:

y = 2x + b.

This equation connects both points, so that means it goes through those points. We want to know "b" next, so we can now substitute in either point for the x and the y. I will substitute in x = 50 and y = 220:

220 = 2(50) + b
220 = 100 + b
b + 100 = 220
b = 120.

Now I know the b and the m, so I can finally write the full y=mx + b form of the equation:

y = 2x + 120.

For the other questions, I can look at the equation I got. The y-intercept (b value) is $120. That means that we are adding $120 on to the price all the time. That's the price for the empty bus. The 2x means to multiply the number of people by two and add this to the $120. So each person is $2.

Here's an example: if you had just 10 people on the bus, you'd pay $120 for the empty bus and $2 for each person. That's $20 for the people and $120 for the bus. That total is $140. Let's see if (10, 140) works in the equation we got:

y = 2x + 120
140 ?=? 2(10) + 120
140 ?=? 20 + 120
yes. 140 = 140. It does work.

Now you try it with your question.
5 0
3 years ago
77÷ -11 <br><br> 20 points!!!!!
stepan [7]

Answer:

7 time 11 is 77 so 77 divided by 11 is 7

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Construct a line that is perpendicular to
kodGreya [7K]
1) The line will need to be vertical down the point of x, meaning draw a line down point x. Perpendicular lines look similar to t’s
2.) Same thing, just draw a line through point O and the line. They should look similar to t’s
Hope this helped!! I understand math can get really hard, soon it’ll all be over :)
5 0
2 years ago
Which is correct? A.b.c.
Hatshy [7]
By geometry, there is a relationship between the tangent PA and the segments PB and PE, namely
PA^2=PB*PE
so 
PE=PA^2/PA=6^2/4=9
BE=PB-PE=9-4=5
6 0
3 years ago
Subtraction with Unequal Denominators 3/4 - 2/5=
Veseljchak [2.6K]

Answer:

7/20

Step-by-step explanation:

We need to find a common denominator in this equation, which would be 20. By changing the fractions to this denominator you would simply get 15-8 which equals 7

3 0
3 years ago
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