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IgorC [24]
3 years ago
7

Suppose y varies directly with x. write an equation relating x and y. y=7 when x=42

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0

Answer:

y = \frac{1}{6} x

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the given condition that y = 7 when x = 42

k = \frac{y}{x} = \frac{7}{42} = \frac{1}{6}

y = \frac{1}{6} x ← equation of variation

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Is 12:5 and 48:25 equivalent
Ne4ueva [31]
Yes is equivalent because 12 x 4 is 48 and 5x5 is 25
7 0
3 years ago
The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho
pav-90 [236]

Answer:

  • <u><em>The solution to f(x) = s(x) is x = 2012. </em></u>

Explanation:

<u>Rewrite the table and the choices for better understanding:</u>

<em>Enrollment at a Technical School </em>

Year (x)       First Year f(x)      Second Year s(x)

2009                  785                        756

2010                   740                        785

2011                    690                        710

2012                   732                         732

2013                   781                          755

Which of the following statements is true based on the data in the table?

  • The solution to f(x) = s(x) is x = 2012.
  • The solution to f(x) = s(x) is x = 732.
  • The solution to f(x) = s(x) is x = 2011.
  • The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012,<em> x = 2012. </em>

Thus, the correct choice is the third one:

  • The solution to f(x) = s(x) is x = 2012.
8 0
3 years ago
If an individual saves $5,700 and elects to place the total dollar amount into a savings account earning 2.75% APR compounded mo
Naddika [18.5K]

Answer:

$7,925.53

Step-by-step explanation:

We'll have to use the compound interest formula: A = P(1 + r/n)ⁿˣ

A = final amount (?)

P = starting amount (5700)

r = rate

n = times applied (12 since its monthly and there 12 months in a year)

x = years (12)

A = 5700(1 + 0.0275/12)¹⁴⁴

A = 7925.525498629932

7 0
3 years ago
the three median of a triangle intersect as a point. which measurements could represent the segments of one of the medians? 2 an
topjm [15]
2 & 3 is your answer
6 0
3 years ago
Need help if anybody can help.​
Darina [25.2K]

Answer:

46.5

Step-by-step explanation:

Of all straight angles have 180 degrees in them.

So, to find x we need to form this equation:

x + 65 + x - 22 = 180

2x + 43 = 180

2x = 180-43

2x = 137

68.5 degrees = x

68.5-22 = 46.5 degrees.

m<CBD = 46.5 degrees.

m<GBF = also 46.5 degrees because it is a vertical angle to <46.5 degrees.

8 0
2 years ago
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