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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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After finishing the prep work, Gilberta and María start removing wallpaper at the same time. Gilberta removes the paper at a con
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Using linear functions, the inequality that represents when Gilberta has more wallpaper left in her room than María has in hers is: t < 5.

<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.

For this problem, we consider:

  • The initial amount as the y-intercept.
  • The rate as the slope.

Hence the amounts Gilberta and Maria have left after t hours are given by:

  • G(t) = 35 - 4.3t.
  • M(t) = 30.5 - 3.4t.

Gilberta has more papers when:

G(t) > M(t).

Hence:

35 - 4.3t > 30.5 - 3.4t

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Multiplying by -1:

0.9t < 4.5

t < 4.5/0.9

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Hence the inequality is:

t < 5.

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

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In​ 2012, a competition sponsored 301 sporting events. This was 256 more events than there were in an 1896 competition. How many
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There were 54 sporting events in the year 1896 hosted by the competition

What is the function to determine the number of events in 1896?

The fact that events which are 301 sporting events in 2012 are 256 more than that of the events in 1896, means that the number of events in 1896 is 256 less than that of 2012

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