Answer: The slope = 5.
Step-by-step explanation:
The equation of a line in the slope -intercept form is given by :-
,where m= slope , c= y-intercept.
The slope of a line represents the rate of change of y with respect to x.
Given: Equation of line : Y= 5x+12
Here Slope (m)=5
Hence, the slope = 5.
Look at it this way:
-- Since the two groups have the ratio of 4 to 7, then the first group has 4 parts
and the other group has 7 parts.
-- If the first group has 4 parts and the other group has 7 parts, then they have
11 parts all together.
-- Those 11 parts are all parts of 33. There must be ( 33 / 11 ) = 3 items in each part.
Now you can go back to the groups . . .
-- The first group has 4 parts.
With 3 items in each part, that's (4 x 3) = 12 items.
-- The other group has 7 parts.
With 3 items in each part, that's (7 x 3) = 21 items.
Since x is the length, then x+7 has to be the width.
The area of a rectangle can be found via the formula :
A = length * width
So if we replace the area with the given number (170) and the length, and width, with what we assumed, we get..
170 = x * (x+7)
[which is.. ]
170 = x^2 +7x
0 = x^2 +7x - 170
And that is the answer.
Well I know that c. goes with I. just because I saw so many x^3 graphs.
For a. the parent function is x^2, so 0.5x^2 should look about the same as x^2, so the answer is VI.
