Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:

Using the slope formula. we get



Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:




Adding 5 on both sides, we get


Therefore, the equation for the given data is
.
Line d and c are bother parallel but the three options would be them
Answer:
1/27 in ^3
Step-by-step explanation:
where length - 1/3 inches
width - 1/3 inches
height - 1/3 inches
the formula to find volume is as follows
volume =
numerators should be multiplied by numerators and denominators by denominators
volume =
volume of the cube is 1/27 in.³
So if one bit of the length, is half the size of the other bit then we can make the following equation, for x being the length of rope:
x + 2x = 66
3x = 66
x = 22
That is the length, of the smaller one (half the big one), so 2x = 44. Hence d) is your answer.
Hope I helped!