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3 years ago

What is the combined length of all the pieces Meg measured? Write an equation using a variable to show your work.

Mathematics

1 answer:

svp [43]3 years ago

5 0

Answer:

The combined length is 61 inches

Step-by-step explanation:

we know that

To find out the combined length of all the pieces Meg measured, multiply each measure by the number of pieces and then sum all the values

Let

x -----> the combined length

we know that

we have

1 piece of 3 inches

2 pieces of 5 inches

3 pieces of 6 inches

3 piece of 7 inches

1 piece of 9 inches

$x=(1)(3)+ (2)(5)+(3)(6)+(3)(7)+(1)(9)\\x=3+10+18+21+9\\x=61\ in$

therefore

The combined length is 61 inches

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vekshin1

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

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An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:

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2 years ago

2. Determine if either of the following equations are functions? Draw the graphs and explain how

nekit [7.7K]

Answer:

Both equation represent functions

Step-by-step explanation:

The function is the relation that for each input, there is only one output.

A. Consider the equation

$y=-\dfrac{3}{5}x+2$

This equation represents the function, because for each input value x, there is exactly one output value y.

To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.

When you intersect the graph of the function $y=-\dfrac{3}{5}x+2$ with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.

B. Consider the equation

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This equation represents the function, because for each input value x, there is exactly one output value y.

When you intersect the graph of the function $y=x-x^2$ with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.