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Nesterboy [21]
3 years ago
7

Help me please find the slope and y-intercept

Mathematics
1 answer:
Bumek [7]3 years ago
6 0

Answer:

Slope is 2.15

y-intercept is 2

Step-by-step explanation:

We need to find slope and y-intercept of the graph given.

The formula used to find slope is: Slope=\frac{y_2-y_1}{x_2-x_1}

Looking at the graph, we can find 2 points

Point 1 : (0,-2)

Point (2): (2,-2.3)

Now putting values and finding slope:

We have: x_1=0, y_1=-2, x_2=2, y_2=-2.3

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2.3-(-2)}{2-0}\\ Slope=\frac{2.3+2}{2}\\ Slope=\frac{4.3}{2}\\Slope=2.15

So, we get slope = 2.15

Now, finding y-intercept

y-intercept can be found if we put x =0

Looking at the graph, when x =0, y = 2

So, y-intercept is 2

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7. Write the equation of a line which passes through the points (-3,5) and (6,23)
faust18 [17]

Answer:

answer to the equation is

y = 2x + 11

Step-by-step explanation:

y = mx + b

first find the slope of the line using the two points

slope \: m =  \frac{y2 - y1}{x2 - x1}  =  \frac{23 - 5}{6 - ( - 3)}   \\ =  \frac{18}{9}  \\ slope \: m = 2

substitute 2 for m and use one of the points for x and y and solve for b

5 = 2( - 3) + b \\ 5 =  - 6 + b \\ 5 + 6 = b \\ b = 11

Now that you found b, the y-intercept, you can substitute that into the equation for your line

y = 2x + 11

7 0
3 years ago
Melissa is 29 meters below the surface. After swimming 12 minutes she rises upward 15 meters. What is her final depth?
pav-90 [236]

Answer:

The final depth of Melissa is 14 meters below the surface

Step-by-step explanation:

In this kind of problems, involving directions, etc, usually one position is the positive direction and the other position is the negative direction.

In our problem, we suppose that the surface is the positivo zero, above the surface is the positive position(positive depth) and below the surface is the negative directions(negative depth).

The problem states that Melissa is 29 meters below the surface. So, her initial position is 29 meters in the negative direction, so it is equal to -29.

Then, the problem states that Melissa rises upward 15 meters. Upward is the positive direction, so she moved to the positive direction. It means that we are going to do -29+15 = -14 meters.

It means that the final depth of Melissa is 14 meters below the surface

6 0
3 years ago
Pls Help I hate math
Leni [432]

Answer:

C

Step-by-step explanation:

Remark

There are three rectangles all the same size.

There are two triangles both the same size

Triangles.

<u>Givens</u>

b = 7.5 cm

h = 6.5

<u>Solution</u>

Area 1 triangle =   1/2 * 7.5 * 6.5

Area 1 triangle = 24.375

Area 2 triangles = 2*24.375 =                            48.75

Rectangles

<u>Givens</u>

L = 13.5

w = 7.5

<u>Solution</u>

Area one rectangle = L*w

Area one rectangle = 13.5*7.5

Area one rectangle = 101.25

Area three rectangles =  3*101.25

Area three rectangles =                                <u>   303.75 </u>    Add

Total Area =                                                      352.5              

7 0
3 years ago
In preparation for upcoming wage negotiations with the union, the managers for the Bevel Hardware Company want to establish the
Snowcat [4.5K]

Answer:

t=\frac{42-40}{\frac{8}{\sqrt{120}}}=2.739  

The p value for this case would be given by:

p_v =2*P(z>2.739)=0.0616  

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

Step-by-step explanation:

Information provided

\bar X=42 represent the sample mean for the assembly time

s=8 represent the sample deviation

n=120 sample size  

\mu_o =40 represent the value to verify

\alpha=0.05 represent the significance level

t would represent the statistic

p_v represent the p value for the test

System of hypothesis

We want to conduct a hypothesis in order to see if the true mean is equal to 40 minutes or not, the system of hypothesis would be:  

Null hypothesis:\mu =40  

Alternative hypothesis:\mu \neq 40  

The statistic for this case is given by:

z=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

Replacing the info given we got:

t=\frac{42-40}{\frac{8}{\sqrt{120}}}=2.739  

The p value for this case would be given by:

p_v =2*P(z>2.739)=0.0616  

Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true mean for the assembly time is significantly different from 40 minutes.

3 0
4 years ago
How to solve for 40! / 10!30!
nlexa [21]
40! / 30!  = 40*39*38*37*36*35*34*33*32*31

dividing this by 10!   10*9*8*7*6*5*4*3*2*1

 =    4*13*19*37*17*11*4*31

=      847,660,528
     
         
         
3 0
4 years ago
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