Answer:
Step-by-step explanation:
This is modeled after an exponential function which, at its simplest, is
where, for us and in this particular situation, y is the final height, a is the initial height, b is the rate of growth or decline, and x is the number of bounces. We know the initial height is 20, but we need to find the rate of decline. Rewriting the formula to model a rate of decay or decline is
, or more closely related to our circumstances:
and simplifying that a bit:
, choice D.
Segment PT || segment QS, Given
segment PT ≅ segment QS,
∠T ≅ ∠S
Angle TPQ = Angle SQR PR is a transversal cutting parallel segments SQ and TP
So....it makes corresponding angles TPQ and SQR equal
ΔPQT ≅ ΔQRS ASA congruency
SAS. Sides because PN and MN are congruent as well as RN and QN. Since angle PNQ and angle MNR are vertical angles they are also congruent.
Answer:
Step-by-step explanation:

To isolate the term of x from one side of the equation, you must multiply by a polynomial.


<u>You have to solve with parentheses first.</u>

<u>Solve.</u>

x(-5x)=-5x²

3*3x²=9x²
3(-5x)=-15x
3(-10)=-30
<u>Then, rewrite the problem down.</u>

<u>Combine like terms.</u>

<u>Add/subtract the numbers from left to right.</u>
-5x²+9x²=4x²

<u>Solve.</u>

<u>Then rewrite the problem.</u>

- <u>Therefore, the correct answer is 3x³+4x²-25x-30.</u>
I hope this helps! Let me know if you have any questions.
Answer:
A. y = 0.5(2)^x
Step-by-step explanation:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y
= 0
.
Horizontal Asymptote:
y
= 0