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sineoko [7]
2 years ago
6

In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the s

lope of this line positive or negative? How do you know? •What is the y-intercept of this line? How did you find it? •What is the slope of this line? How did you find it?

Mathematics
2 answers:
kaheart [24]2 years ago
7 0

Answer:

positive slope

(0,3)

slope = 2

Step-by-step explanation:

  • Slope of the given line is positive
  • If the line is sloping upward from left to right, so the slope is positive (+).

or if the angle made by the line to the x axis is < 90 it's slope is positive.

  • y-intercept of the line is (0,3)
  • The y intercept is the point where the line crosses the y axis. At this point x = 0.
  • slope of the line is 2
  • slope = (y2 - y1) / (x2 - x1)

    lines passing through points (1,5) (0,3)

    slope = (3 - 5) / (0 - 1)

              = -2 / -1 = 2  

JulijaS [17]2 years ago
4 0

- The line is positive because it is going upwards from the bottom left to the top right

- The y-intercept is positive 3

              - It can be found by seeing where the line intercepts the y-axis when x = 0

              - Written as a coordinate point of (0, 3)

- The slope of the line is 2

              - It can be found by using "rise over run" which is the change in y divided by the change in x

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3 years ago
Find the domain of the rational function 9x/(x+5)(x+3)
xenn [34]

Answer:

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

Step-by-step explanation:

hello :

f(x) = 9x/(x+5)(x+3)

f exist for : (x+5)(x+3) ≠ 0

(x+5)(x+3)=0

x+5=0 or x+3=0  means : x= - 5 or x= -3

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

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3 years ago
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t
nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that p = 0.2

Suppose that sixteen adults in the United States are selected randomly.

This means that n = 16

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281

P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111

P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

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