Since, an inch is to 3 feet, the length would be 18 feet and the width would be 12. To get the area, multiply length and width. The product would be 216 square feet. If a square foot costs $5, 216 square foot multiplied to $5 would be $1080 which is the cost to carpet the room.
Given:
The function is
Consider the given domain of g is {-2,0,2}.
To find:
The solution set if the domain of g for the given domain.
Solution:
Domain is the set of input values and range is the set of output value.
We have,
Domain of g is {-2,0,2}.
For x=-2,
For x=0,
For x=2,
Now, the solution set of the given domain of g is
Therefore, the solution set is {18,12,6}.
y = 4x + 7
This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.
y - 4x = 9
y = 9 + 4x (add 4x to both sides)
y = 4x + 9 (switch the constant and x-term)
This line has a slope of 4.
4x - y = 8
-y = 8 - 4x (subtract 4x from both sides)
y = -8 + 4x (divide both sides by -1)
y = 4x - 8 (switch the constant and x-term)
This line has a slope of 4.
4y - x = 8
4y = 8 + x (add x to both sides)
y = 8/4 + x/4 (divide both sides by 4)
y = x/4 + 2 (simplify and switch constant and x-term)
This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.
Answer:
4y - x = 8
