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Vilka [71]
2 years ago
6

Convert the equation to slope-intercept form: 2y = x + 8

Mathematics
1 answer:
nalin [4]2 years ago
6 0

Answer:

y=(1/2)x+4

Step-by-step explanation:

Since slope-intercept form is y=mx+b, all we need to do is divide both sides by 2:

2y=x+8

y=1/2x+4

Thus, the equation would be y=1/2x+4

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Solve the Quadratic Equation By Completing the Square<br> b^2-15b-54=0
vladimir1956 [14]
b^{2}-15b-54=0. \newline&#10;b^{2}-15b=54. \newline&#10;b^{2}-15b+(\frac{15}{2})^{2}=54+(\frac{15}{2})^{2}. \newline&#10;(b-\frac{15}{2})^{2}=\frac{441}{4}. \newline&#10;b-\frac{15}{2}=\pm\frac{21}{2}. \newline&#10;b=\pm\frac{21}{2}+\frac{15}{2}. \newline&#10;b_1 = -3, b_2 = 18.
3 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
lyudmila [28]

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.
5 0
3 years ago
If the sum of the interior angle of a polygon is 1800 how many sides does it have
Verdich [7]

Answer: 12 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is 180(n-2), where n is the number of sides

180(n-2)=1800\\\\n-2=10\\\\n=12

6 0
1 year ago
Which is equivalent to (3 + 2i)(3 + 2i)
Olegator [25]
(3+2i) squared I think
4 0
3 years ago
The circumference of a circle is 18.84 miles. What is the circle's radius? C=18.84
Mama L [17]
We can find the radius by using the formula: C = 2(pi)(r)
We'll use 3.14 for pi.

And solve for r.

18.84 = 2(3.14)r ; Start
18.84 = 6.28r      ; Multiply 3.14 by 2
3 = r                     ; Divide both sides by the coefficient of r. Which is 6.28

So, the radius is 3 miles.

7 0
3 years ago
Read 2 more answers
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