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4 years ago

How do you find the domain and range of a piecewise linear function?

1 answer:

3 0

A piecewise linear function is a function that will have two equations with an inequality beside it dependent on the variable. For instance, If x is less than something, you use one equation, and if x is greater than something, you use the second equation. If given an integer, then the highest and lowest points will become you domain and range. The lowest and highest points of x will be your domain, while the same is true for range with the exception of operating under y values. Hope this helped.

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3 years ago

Each 7th grader brings $5 for charity, while each 8th grader brings in $8. The total collected is $1380. There are 10 more 8th g

Scilla [17]

Answer:

7th graders- 100 students

8th graders- 110 students

Step-by-step explanation:

Let the number of 8th graders be represented by x and 7th graders be represented by y

Equation based on number

There difference between 8th and 7th graders is 10 hence equation becomes

x-y=10

Equation based on contribution

While x contribute each $8 and y contribute each $5, the total contribution is $1380 hence the equation becomes

8x+5y=1380

Combining equations

Having the two simultaneous equations which are

x-y=10

8x+5y=1380

Solving the equations.

5x-5y=50

8x+5y=1380

------------------

13x=1430

x=1430/13=110

Therefore, 8th graders are 110. Since the 8th graders were 10 more than 7th graders, the 7th graders will be 110-10=100 students

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3 years ago

Simplify the expression (3x^2y^-3)^3/27(xy)^-9 . The simplified expression is________ . PLEASE HELP

nadezda [96]

$\frac{(3x^{2}y^{-3})^{3}}{27(xy)^{-9}} = \frac{3^{3}}{27}\times x^{2\times 3-(-9)}y^{-3\times 3-(-9)}} = x^{15}$

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3 years ago