Answer:
Step-by-step explanation:
The left hand side of the equation contains proper fractions while the right hand side of the equation contains mixed fraction. The mixed fraction can be changed to improper fraction. 1 2/3 becomes 5/3
To breakdown the left hand side of the equation, we would take lowest common factor of 5 and 15. It is 15
Considering 4/5, if 15 divides 5,the result is 3. Multiplying 3 by 4 gives 12. So it becomes
12/15
Considering 13/15, if 15 divides 15,the result is 1, Multiplying 1 by 13 gives 13. So it becomes
13/15
The equation becomes
(12 + 13)/15 = 5/3
25/15 = 5/3
Simplifying 25/15 to its lowest terms, it becomes 5/3 so
5/3 = 5/3
The answer would be 28 square inches because you would multiple the length (4 inches) and the width (7 inches) to each other.
You are correct. The answer is choice DThe only way for g(x) to be differentiable at x = 0 is for two things to happen
(1) g(x) is continuous at x = 0
(2) g ' (x) is continuous at x = 0
To satisfy property (1) above, the value of b must be 1. This can be found by plugging x = 0 into each piece of the piecewise function and solving for b.
So the piecewise function becomes

after plugging in b = 1
--------------------------------
Now differentiate each piece with respect to x to get

The first piece of g ' (x) is always going to be equal to 1. The second piece is equal to zero when x = 0
Because -sin(x) = -sin(0) = 0
So there's this disconnect on g ' (x) meaning its not continuous
Therefore, the value b = 1 will not work.
So there are no values of b that work to satisfy property (1) and property (2) mentioned at the top.
Answer:
I think a is a answer lol
Set y1=x+30 and y2=x^2, plugged those into the distance formula assuming x=a<span>,
</span><span>
d=rad(<span>(y2−y1<span>)^2)
</span></span></span><span>d(x)=x^2−x−30
</span>All you have to do is to maximize the given quadratic function. I hope that this is the answer that you were looking for and it has helped you.