Answer:

Step-by-step explanation:
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter
Lets add all the cut of pieces and subtract it from 2 meters

Now we subtract 13/10 from 2 meters

To subtract , make the denominator same

7/10 meter is the remaining piece of ribbon
Answer:
correct answer is four sixths
Step-by-step explanation:
you can simplify 2/6 to 1/3 and then it would just be 1/3 plus 1/3. This is 2/3 or 4/6! Hope this helps :)
Answer:
Absolute minimum = 1.414
Absolute maximum = 2.828
Step-by-step explanation:

For absolute minimum we take the minimum values of
and
.

Plugging in the minimum values in the function.

Absolute minimum value will be always positive.
∴ Absolute minimum = 1.414
For absolute maximum we take the maximum values of
and
.

Plugging in the maximum values in the function.

Absolute maximum value will be always positive.
∴ Absolute maximum = 2.828
Answer:
The average rate of change of the function from x=1 to x=2 will be: 10.5
Step-by-step explanation:
Given the function

at x₁ = 1,
f(x₁) = f(1) = -14/(1)² = -14/1 = -14
at x₂ = 2,
f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [-3.5 - (-14)] / [2 - 1]
= [-3.5 + 14] / [1]
= 10.5 / 1
= 10.5
Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5
Answer:

Step-by-step explanation:
We have the expression:

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x
We will get:

Now we can directly add the terms to get:

We can't simplify this anymore