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zavuch27 [327]
3 years ago
11

What are the X and Y intercepts of y= -2(x-4)2 +3

Mathematics
1 answer:
kari74 [83]3 years ago
4 0

Answer: x-intercepts are ( 2.775,0) and (5.225,0)

And y-intercept is (0,-29)

Step-by-step explanation:

Here the given equation is,

y = -2(x-4)^2+3

For x-intercept, y = 0,

Put y = 0 in the above equation of parabola,

We get, -2(x-4)^2 + 3 = 0

-2(x^2+16+8x) + 3 = 0

-2x^2-32-16x + 3 = 0

-2x^2-16x -29 = 0

By solving this equation,

We get, x = 2.775 or x = 5.225

Therefore, x-intercept of the given parabola are (2.775, 0) and (5.225,0)

Now, for y-intercept, x = 0

By putting x = 0 in the given equation of parabola,

We get, y = -29

Thus, y-intercept of the given parabola = (0,-29)



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The probability that the next customer will pay with cash is 0.76

<h3>What is the probability?</h3>

Formula to find the probability of an event is:

P(A) = n(A)/n(S)

where;

n(A) is the number of favorable outcomes of an event A

n(S) is the total number of outcomes for an experiment/survey

We are given that;

45 customers paid cash

8 customers used a debit card

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Thus, the total number of customers:

n(S) = 45 + 8 + 6

n(S) = 59

Let event A be the event that the next customer will pay with cash. Thus, n(A) = 45

Therefore, the probability that the next customer will pay with cash would be;

P(A) = n(A)/n(S)

P(A) = 45/59

P(A) = 0.76

Read more about Probability at; brainly.com/question/23047865

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dimaraw [331]

Answer:

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Step-by-step explanation:

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See attachment

Required

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