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iren [92.7K]
3 years ago
6

Algebraically find the point where the cable and the strut intersect. Interpret your answer. (10 points)

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

√2x+8=x-8

2x+8=x^2-16x+64

-x^2+18x-56=0

x^2-18x+56=0

x(x-4)-14(x-4)=0

(X-4)(x-14)=0

x=4(extraneous) ,x=14

—> x=14

Step-by-step explanation:

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ANDREA IS A VERY GOOD STUDENT. THE PROBABILITY THAT SHE STUDIES AND PASSES HER MATHEMATICS TEST IS 17/20. IF THE PROBABILITY THA
Eva8 [605]
Let B be the event that Andrea passes her test, and let A be the event 
<span>that she studies. We are given that P(A and B) = 17/20, and that P(A) = 15/16. </span>

<span>Now the probability that Andrea passes her test given that she has studied </span>
<span>is represented by P(BlA). The formula your teacher gave you can be written as </span>
<span>P(BlA) = P(A and B) / P(A). </span>

<span>So P(BlA) = P(A and B) / P(A) = (17/20) / (15/16) = (17/20)*(16/15) = 68/75.</span>
3 0
3 years ago
Read 2 more answers
A warehouse contains 7250 books in it. Books are being shipped from the warehouse such that the number of books decreased by 150
Lapatulllka [165]

Using an linear function, we have that:

  • The inequality is: -150D + 7250 < 2000
  • The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem:

  • A warehouse contains 7250 books in it, hence b = 7250.
  • Books are being shipped from the warehouse such that the number of books decreased by 150 per day, hence m = -150.

Thus, the number of books each day is modeled by the following function:

B(D) = -150D + 7250

It will begin to print more books when the warehouse contains less than 2000 books, hence, the inequality is:

B(D) < 2000

-150D + 7250 < 2000

Then:

-150D < -5250

150D > 5250

D > \frac{5250}{150}

D > 35

The warehouse will start printing more books on the 35th day, hence it won't be printing on the 30th day.

More can be learned about linear functions at brainly.com/question/24808124

7 0
2 years ago
Find the annual percentage rate of change for the population of Oregon. In 2000, there were 4.8
MrRa [10]

Answer:

The annual percentage rate of change for the population of Oregon is of 8.125%.

Step-by-step explanation:

Total percentage change:

Change multiplied by 100 and divided by the initial value.

Change: 8.7 - 4.8 = 3.9 million

Initial value: 4.8

Percentage change: 3.9*100/4.8 = 81.25%

Annual percentage rate of change

81.25% during 10 years(from 2000 to 2010).

So, per year

81.25%/10 = 8.125%

The annual percentage rate of change for the population of Oregon is of 8.125%.

5 0
3 years ago
Twice a number deceased by 7.translate in algebraic expressions​
Dafna1 [17]

Twice a number (2x) decreased by 7 (- 7).

2x - 7

Two times a specfic number (x) subtracted by 7.

8 0
3 years ago
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Which is a factor of 6x2 + x − 7?<br><br> x + 1<br> 2x + 1<br> 6x + 7<br> 3x + 7
katrin [286]

6x2 + x - 7

= (6x + 7)(x - 1)

So, the answer is (6x + 7), or C.

4 0
3 years ago
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