It is 1/2 mile from the students home to a store and back. In a week, she walked to the store and back home 1 time. In the same
2 answers:
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<h3>Answer: 25</h3>
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Explanation:
Check out the image below. I've posted the synthetic division table. The value at the very end of the bottom row is the remainder. By the remainder theorem, this is exactly the value of g(-5).
Recall the remainder theorem says: If you divide p(x) by (x-k), then the remainder is p(k). In this case, k = -5 is our test root which is the value placed in the box on the left.
As a way to check the answer, we can say
g(x) = 2x^2 + 6x + 5
g(-5) = 2(-5)^2 + 6(-5) + 5
g(-5) = 25
So the answer is confirmed.
Answer:
A
Step-by-step explanation:
The additive inverse property states that if we have a number a, then:
Here, we have the equation:
And we divide both sides by 2:
To acquire:
So, we did <em>not</em> use the additive inverse property since we didn't add anything.
Instead, we used the<em> division property of equality</em> by dividing both sides by 2.
So, our answer is A.
And we're done!
Answer:
Step-by-step explanation:
Let's use the definition of the Laplace transform and the identity given: with
.
Now, . Using integration by parts with u=e^(-st) and dv=cos(5t), we obtain that
.
Using integration by parts again with u=e^(-st) and dv=sin(5t), we obtain that
.
Solving for F(s) on the last equation, , then the Laplace transform we were searching is