Answer:
The average rate of change for f(x) from x=−1 to x = 4 is, 1
Step-by-step explanation:
Average rate A(x) of change for a function f(x) over [a, b] is given by:

As per the statement:

we have to find the average rate of change from x = -1 to x = 4
At x = -1

and
at x = 4

Substitute these in [1] we have;

⇒
⇒
Simplify:
A(x) = 1
Therefore, the average rate of change for f(x) from x=−1 to x = 4 is, 1
<span>A parallelogram is a 4-sided shape where opposites sides are parallel. A rectangle is a special case of a parallelogram. All rectangles are parallelograms.
But a rectangle is a shape where opposites sides are parallel *and* all the corners are 90 degree angles. So you can't say that all parallelograms would be rectangles. Some parallelograms would be rectangles, but not all.
Rectangles are a subset of the shapes called parallelograms. But parallelograms are *not* a subset of the shapes called rectangles.
It's similar to saying all cars are vehicles. But you can't say that all vehicles are cars. </span>
Answer:
{13,14}
Step-by-step explanation:
Let
x ----> number of hours per week of tutoring
y ----> number of hours per week of landscaping
we know that
She can work no more than 17 hours
so
-----> inequality A
She must earn at lest $240
The term " at least" means, "greater than or equal to"
----> inequality B
If Autumn worked 3 hours landscaping
then

substitute in the inequality A and in the inequality B
<em>Inequality A</em>

Inequality B

The solution of the system is the interval {12.75,14]
All possible values for the number of whole hours tutoring that she must work to meet her requirements are
{13,14}