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Nataly_w [17]
2 years ago
15

Use your understanding of transformations and key features to write the slope-intercept equation of this linear function.

Mathematics
1 answer:
sveta [45]2 years ago
8 0

Answer:

y = -2x + 5

m = -1

b = 5

Step-by-step explanation:

Hello!

Slope - Intercept Form: y = mx+b

  • m = slope
  • b = y-intercept

<h3>Slope</h3>

The slope of the line is the rate of change, or how the graph changes in y as it changes in x.

Slope can be calculated by the formula: m = \frac{y_2 - y_1}{x_2 - x_1}

We need two points on the line to get the x and y-values. I'm going to choose points (0,5) and (4,-3).

Calculate Slope

  • m = \frac{y_2 - y_1}{x_2 - x_1}
  • m = \frac{5 - (-3)}{0 - 4}
  • m = -\frac{8}{4}
  • m = -2

The slope is -2.

<h3>Y-intercept</h3>

The y-intercept of the line is where the graph touches the y-axis (x = 0). It can be found by looking at the intersection of the graph and the axis.

The intersection happens at point (0,5), so the y-intercept is 5.

<h3>Equation</h3>

We found m, the slope, to be -2 and b, the y-intercept, to be 5. We can just plug it into the equation format.

Equation: y = -2x + 5

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Create a visual plot of the data in the table by constructing a bar graph.
sashaice [31]

The average view of the dress code is that this dress is not good

<h3>Explain how Rashad could collect data to ensure that it is a random sample of the population.</h3>

For Rashad's sample to be a random sample gotten from the population, the following must be considered.

  • First, he must have a defined population. In this case, his population is all the students in his high school (non students are not to be considered)
  • Next, he must have a defined sample size (say 10% or 20% of the total number of students in the school)
  • Next, he must select students at random (a perfect example of this is one of every five or ten students that enters the school gate.
  • Lastly, he must collect data for his sample

<h3>Create a visual plot of the data in the table by constructing a bar graph.</h3>

To do this, we simply create a bar graph.

The response would go into the x-axis, while the number of people would go into the y-axis

See attachment for bar graph

<h3>What is the average view of the dress code? How did you come to this conclusion?</h3>

The average view of the dress code is that this dress is not good

It is considered the average view of the dress code because it is the opinion with the most frequency

<h3>Will the dress change?</h3>

The number of students that do not like the dress as:

210 + 206 + 770 = 1186

Their percentage is

Percentage = 1186/(210 + 206 + 770 + 358)

Percentage = 77%

This means that

Yes, the dress will change

Read more about random sampling at:

brainly.com/question/7301139

#SPJ1

5 0
2 years ago
n automobile manufacturer claims that its van has a 37.4 miles/gallon (MPG) rating. An independent testing firm has been contrac
JulsSmile [24]

Answer:

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

Step-by-step explanation:

We will develop a Hypothesis Test ( a 2 tail test since the independent testing firm is interested in finding out  if there is an incorrect MPG rating from the manufacturer

Test Hypothesis :

Null hypothesis                             H₀            μ    =    μ₀

Alternative Hypothesis                Hₐ             μ    ≠    μ₀

Significance Level   α  = 0,05    α/2  =  0,025

z(c) for α/2   from z-table      z(c)  = - 1, 96   and by symmetry  z(c) = 1,96

Calculating  z(s)

z(s) =  ( μ  -  μ₀ ) / σ /√n

z(s) = ( 37,8 - 37,4 ) / 2,3 /√280

z(s) = 0,4 * 16,73 / 2,3

z(s) = 2,90

Comparison between z(c)  and  z(s)

z(s) > z(c)       2,90 > 1,96

Then z(s) is out of the acceptance region, we reject H₀,  doubts of the independent testing firm are valids

8 0
2 years ago
Please answer this question full
ira [324]
(5x-2) + (2x+6) = 67, so we simplify and solve for x:
7x + 4 = 67 --> 7x = 63 --> x = 9

Now we substitute 9 for x in (5x-2):
5(9) - 2 --> 45 - 2 = 43

The distance between A and B is 43 miles.
Hope this Helps!
Brainliest Please!
7 0
3 years ago
How does translation affect the properties of a two-dimensional figure? please i need help
LiRa [457]

Answer:

It affects the location of the shape and how the shape looks. It doesn't affect the area or perimeter though.

Step-by-step explanation:

7 0
3 years ago
Can you help me with this I will Mark you brainliest!
Irina-Kira [14]

Answer:

10 because it goes by 2 so 5 x2 is 10 so 3 x2 is 6 so its x 2

4 0
3 years ago
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