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Evgen [1.6K]
2 years ago
7

The product of two consecutive positive integers is 1,332. Explain how you can write and solve a quadratic equation to find the

value of the larger integer.
Mathematics
2 answers:
taurus [48]2 years ago
9 0
Product of two consecutive integer so this mean that x and y but y = x+1 than

x(x+1)=1332

x^2 +x -1332 =0  so bc. you get 36*37=1332 and 37x-36x=x so you can rewriting this quadratic factorized completlie 

x^2 +x -1332 = 0

(x+37)(x-36)=0

x+37=0

x=-37 so the larger integer result that will be 37 
LUCKY_DIMON [66]2 years ago
4 0

Answer:use x and x +1 to model the two consecutive integers. X=36 and -36

Step-by-step explanation:

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Answer:

Step-by-step explanation:

a) probability a person admitted to the hospital will suffer a treatment-caused injury due to negligence

P(injury) = 4%

P(negligence) = 1/4 = 0.25

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P(injury) * P(negligence) = 0.04*0.25 = 0.01

b) probability a person admitted to the hospital will die from a treatment-caused injury

P(injury) = 4%

P(death) = 1/7

P(Injury) *P(death) = 0.04/7 = 0.00571

c) In the case of a negligent treatment-caused injury, what is the probability a malpractice claim will be paid

P(claim) = 1/7.5

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7 0
2 years ago
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more fig
miss Akunina [59]

Answer:

f(t) = -0.05t +12

Step-by-step explanation:

To solve this problem we must pay attention to the following data supplied:

- f It is the number of figurines that remain to be painted.

- t amount of time, in minutes, that Colin spends painting

- Colin takes 20 minutes painting each figurines.

- After painting 60 min, he still has 9 figurines left. f (60) = 9

If he takes 20 minutes painting 1, it means that in 60 minutes he has painted 3 and he has 9 left.

Then, at the beginning he has 9 +3 figurines to be painted.

f (0) = 3 + 9\\f (0) = 12

With these two points we can find the function:

If m is the slope of the line, then:

m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{9-12}{60-0}\\\\m = -0.05\\\\f (t) = -0.05t + c

Where by definition c = f(0) = 12

Finally the formula is:

f(t) = -0.05t +12

3 0
2 years ago
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2 years ago
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A publishing company prints newspapers and magazines. Let NNN represent the number of newspapers and MMM represent the number of
adelina 88 [10]

Answer:

At most 800 magazines the company can print daily with the remaining number of ink cartridges.

Step-by-step explanation:

We are given the following in the question:

0.5N+2.5M \leq 6000

The above inequality gives the relation for daily supply of ink cartridges where N is the number of newspaper and M is the number of magazines.

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Puting the value in the given inequality,

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Thus, at most 800 magazines the company can print daily with the remaining number of ink cartridges.

6 0
2 years ago
The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negativ
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Answer: - 2.5

Step-by-step explanation:

Using the attached number line has reference, the distance between each integer on the number line attached is 1, and the numbers are ordered in ascending order from - 10 to + 10. The point R exists in between the point marked - 2 and - 3 respectively. This shows that that point R is a number between the two integers, a number greater than - 3 but less than - 2.

From the picture attached the blue dot sits directly at the midpoint between - 3 and - 2. Hence the position can be a obtained by averaging the two integers.

(-3 + - 2) / 2 = - 5/2 = - 2.5

3 0
2 years ago
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