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Vesna [10]
3 years ago
9

What is the equation of this graphed Line enter your answer in slope-intercept form in the Box ​

Mathematics
1 answer:
bonufazy [111]3 years ago
5 0

Answer:

  • y = -1/3x - 5

Step-by-step explanation:

Given line with points (-6, -3) and (6, -7)

<u>Slope intercept form:</u>

  • y = mx + b

We can see on the graph that y-intercept is b = -5

<u>The slope is found using slope formula:</u>

  • m = (y2 - y1)/(x2 - x1)
  • m = (-7 - (-3))/(6 -(-6)) = -4/12 = -1/3

<u>Th equation is:</u>

  • y = -1/3x - 5
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What are the x- and y-intercepts of the graph of y = x2 + 3x − 10? (1 point)
Lynna [10]

Answer:

x-intercepts: (2, 0) and (−5, 0)  

y-intercept: (0, −10)

Step-by-step explanation:

y = x^2 + 3x − 10

y-intercept when x = 0 so y = -10, so y-intercept : (0, -10))

x-intercept when y = 0 so

x^2 + 3x − 10 = 0

(x +5)(x - 2) = 0

x + 5 = 0; x = -5

x - 2 = 0; x = 2

So x-intercepts: (-5, 0) and (2,0)

7 0
2 years ago
A representative from the National Football League's Marketing Division randomly selects people on a random street in Kansas Cit
Orlov [11]

Using the binomial distribution, we have that:

a) 0.1024 = 10.24% probability that the marketing representative must select 4 people to find one who attended the last home football game.

b) 0.2621 = 26.21% probability that the marketing representative must select more than 6 people to find one who attended the last home football game.

c) The expected number of people is 4, with a variance of 20.

For each person, there are only two possible outcomes. Either they attended a game, or they did not. The probability of a person attending a game is independent of any other person, which means that the binomial distribution is used.

Binomial probability distribution  

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}  

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • p is the probability of a success on a single trial.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The expected number of <u>trials before q successes</u> is given by:

E = \frac{q(1-p)}{p}

The variance is:

V = \frac{q(1-p)}{p^2}

In this problem, 0.2 probability of a finding a person who attended the last football game, thus p = 0.2.

Item a:

  • None of the first three attended, which is P(X = 0) when n = 3.
  • Fourth attended, with 0.2 probability.

Thus:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.2)^{0}.(0.8)^{3} = 0.512

0.2(0.512) = 0.1024

0.1024 = 10.24% probability that the marketing representative must select 4 people to find one who attended the last home football game.

Item b:

This is the probability that none of the first six went, which is P(X = 0) when n = 6.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.2)^{0}.(0.8)^{6} = 0.2621

0.2621 = 26.21% probability that the marketing representative must select more than 6 people to find one who attended the last home football game.

Item c:

  • One person, thus q = 1.

The expected value is:

E = \frac{q(1-p)}{p} = \frac{0.8}{0.2} = 4

The variance is:

V = \frac{0.8}{0.04} = 20

The expected number of people is 4, with a variance of 20.

A similar problem is given at brainly.com/question/24756209

3 0
1 year ago
Find y in terms with x <br>Help me pleaseee thank uu:)​
cestrela7 [59]

Answer:

y = 90 -5/2 x

Step-by-step explanation:

The angle on the left equals x+3x+x = 5x

The angle on the right equals 2y

The two angles are same side interior angles which are supplementary because the lines are parallel

5x+2y = 180

Solving for y

2y = 180-5x

Divide by 2

2y/2 = 180/2 -5x/2

y = 90 -5/2 x

4 0
2 years ago
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it would be a because nothing else makes sense

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2 years ago
4th grade math help<br> Please explain how to get answer
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Do 51×5 and you will get the answer 255
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