Answer:
2x^2+4x+x-2
Step-by-step explanation:
use FOIL (first, outside, inside, last)
(2x-1)(-x+2)
2x(-x)=-2x^2
2x(2)=4x
-1(-x)=x
-1(2)=-2
2x^2+4x+x-2
Answer:
jessica run mile per5 minute.
8/5 mile=8 minutes
1 mile=8/(8/5)=8×5/8=5 minute.
Answer:
Let v(t) be the velocity of the car t hours after 2:00 PM. Then
. By the Mean Value Theorem, there is a number c such that
with
. Since v'(t) is the acceleration at time t, the acceleration c hours after 2:00 PM is exactly
.
Step-by-step explanation:
The Mean Value Theorem says,
Let be a function that satisfies the following hypotheses:
- f is continuous on the closed interval [a, b].
- f is differentiable on the open interval (a, b).
Then there is a number c in (a, b) such that

Note that the Mean Value Theorem doesn’t tell us what c is. It only tells us that there is at least one number c that will satisfy the conclusion of the theorem.
By assumption, the car’s speed is continuous and differentiable everywhere. This means we can apply the Mean Value Theorem.
Let v(t) be the velocity of the car t hours after 2:00 PM. Then
and
(note that 20 minutes is
of an hour), so the average rate of change of v on the interval
is

We know that acceleration is the derivative of speed. So, by the Mean Value Theorem, there is a time c in
at which
.
c is a time time between 2:00 and 2:20 at which the acceleration is
.
Why did the narrator use the phrase “fit together like puzzle pieces” to describe how the cells of a developing human embryo form a human face
Order of Operations, also known as PEMDAS (Parentheses, Exponents, Multiplication & Division, Addition & Subtraction), can help to simplify an equation by guiding you through the steps to solve it.
This is because it tells you to solve the parentheses. If there is none, but you've already done this, you solve for exponents, etc.
The progressive soling of the equation not only makes it physically shorter, but also brings you closer to the answer.
Hope this helps, and I was the brainliest! :)