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dybincka [34]
3 years ago
11

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

Mathematics
1 answer:
nekit [7.7K]3 years ago
4 0

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

y=x-x^2

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.

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A tank has the shape of a rectangular prism with the dimensions shown. How much glass was used to make the tank. 34 in² 65 in² 1
Lady bird [3.3K]

Answer: Find the surface area with the formula SA = 2wl + 2lh + 2hw

Step-by-step explanation:

<u><em> Since you did not provide the figure, I will give you a general explanation about how to solve this exercise.</em></u>

By definition, the surface area of a rectangular prism can be calculated with the formula shown below:

SA = 2wl + 2lh + 2hw

Where "SA" is the surface area of the rectangular prism, "w" is the width of the rectangular prism, "l" is the length and "h" is the height of the rectangular prism.

Therefore, if you know the length, the width and the height of the rectangular prism, you can follow these steps in order to calculate how much glass was used to make the tank. The procedure is:

Step 1: You must substitute the values of "l", "w" and "h" into the formula.

Step 2: Finally, you must evaluate in order to get the surface area of the rectangular prism (This value is the amount of square inches that was used to make the tank).

8 0
3 years ago
I need help please???
Olegator [25]

Answer:

i think it is E

Step-by-step explanation:

4 0
3 years ago
What is the value of the digit 9 in the attendance at the redskins vs titan game
Leokris [45]
9,345,654 million, if you want specific, tell me the number.
8 0
3 years ago
Which number line best shows how to solve −8 − (−2)? A number line from negative 10 to 10 is shown, with numbers labeled at inte
LekaFEV [45]

Answer:

A number line from negative 10 to 10 is shown, with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8. Another arrow points from negative 8 to negative 6

Step-by-step explanation:

A number line is a straight line with numbers placed at equal intervals. Positive numbers are placed to the right of 0 and negative numbers are placed to the left of zero.

When a number (x) is added x unit is moved to the right while if a number (x) is subtracted x units is moved to the left.

To solve -8 - (-2) = -8 + 2

Given a A number line from negative 10 to 10 with numbers labeled at intervals of 2. An arrow is shown from point 0 to negative 8 then since 2 is added, we move 2 units right from negative 8 to negative 6.

7 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (0, 0)and (5, 2)?
beks73 [17]

Answer:

5y - 2x = 0

Step-by-step explanation:

Equation of line is given by,

y - y1 = ( x - x1 ) ( y2 - y1)/ (x2 - x1 )

y - 0 = ( x - 0 ) ( 2 - 0 )/ ( 5 - 0 )

y = 2x /5

5y = 2x

5y - 2x = 0

This is the required equation.

8 0
3 years ago
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