The graph intersects the x-axis twice. It intersects at the points of (-1,0) and (2.5,0). The graph is attached.
<h2>Length = 11</h2><h2>Width = 6</h2>
The area of a rectangle is 66 ft^2:
L * W = 66
Length of the rectangle is 7 feet less than three times the width:
L = 3W-7
Substitute L in terms of W:
(3W-7) * W = 66
Factorise the equation:
3W^2 -7W = 66
3W^2 - 7W - 66 = 0
Factors of 66 =
1 66, 2 33, 3 22, 6 11
(3W + 11) (W - 6) = 0
Solve for W:
3W + 11 = 0
3W = 11
W = 3/11
W - 6 = 0
W = 0 + 6
W = 6
Using the original equation, find L:
L = 3W-7
L = 3(6)-7
L = 18-7
L = 11
L * W = 66
11 * 6 = 66
Answer:
{3, 5, 7, 9, 11}
Step-by-step explanation:
Domain of a function is the set of all the allowable values that can be used as an input to the function. In easy words, we can just say this: The set of all the inputs to a function comprises the Domain of the function.
Domain consists of the values of independent variable on which some other variable depends and give some output result. From the given table we can see that there are two variables: Number of hours(x) and the Cars Produced(y).
Number of cars produced depend on the number of hours the auto factory remains open. So, number of hours is the independent or the input variable and all the values of this variable will form the Domain of the function represented by the table.
So, the Domain of the function is: {3, 5, 7, 9, 11}
