Answer:
c = 2.25
Step-by-step explanation:
f(x) is a continuous and differentiable function on the interval, so the Mean Value Theorem guarantees a value for c exists.
The average slope is ...
m = (f(4) -f(1))/(4 -1) = (24 -12)/3 = 4
The point at which the derivative is 4 is ...
f'(c) = 6/√c = 4
√c = 6/4
c = 2.25
Example: Set up proportions.
3/4 cups → 1 batch
x cups → 2 batches
x = 2(3/4) = 6/4 = 1 1/2 cups
3/4 cups → 1 batch
y cups → 9 batches
y = 9(3/4) = 6 3/4 cups
∠2 =∠1 which is 180° -65° =115<span>°
So </span>∠2=115<span>° </span>
Answer:
The expression
does not represent a percent increase greater than 12%.
Step-by-step explanation:
We are asked to find whether the expression
represent a percent increase greater than 12% if the original amount is x.
First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.


Since 1.12 is greater than 1.016, therefore, the expression
does not represent a percent increase greater than 12%.
We can rewrite
as:

Let us convert
to percent by multiplying by 100.

Since 1.6% is less than 12%, therefore, the expression
does not represent a percent increase greater than 12%.