Answer:

Step-by-step explanation:
It can be found by integral.
First let's find the intersection points.

Only intersection point is x = 2.
And it is asked to find the area in the interval (2, 4).

We will use integration by parts.


(7 3/4 mi/h)*(2 2/3 h) = 20 2/3
Todd rode 20.667 miles.
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A calculator that works with mixed numbers is a handy thing.
Here you have two terms connected by the "subtraction" symbol.
The two coefficients are 2 and 32, and one factor common to both of these is 2. Thus, <span>2x^2-32y^2 = 2(x^2-16y^2).
You could stop here. But it'd make more sense to continue, since x^2-16y^2 is easy to factor:
The three factors of </span><span>2x^2-32y^2 are 2, x-4 and x+4</span>
Hope this helps. If you have any further question ask me in comment.
Answer:
C. y +3 = x +3
Step-by-step explanation:
We need to find in below option x has direct variation with y.
We solve for each;
A. 
From above equation we can state that 2 times y is equal to 7 less than 3 times of x.
Hence it doesn't represent direct variation.
B. 
Solving above expression we get;

From above equation we can state that y is equal to 10 more than x.
Hence it doesn't represent direct variation.
C. 
Solving above expression we get;

From above equation we can state that y is equal to x.
Hence it represent direct variation.
D. 
Solving above expression we get;

From above equation we can state that 4 times y is equal to 2 less than 4 times of x.
Hence it doesn't represent direct variation.
Hence the Answer which represent direct variation of x and y is,
C. 