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3 years ago

Explain the general steps to adding any two polynomials.

Mathematics

1 answer:

kolbaska11 [484]3 years ago

3 0

Answer:

Below

Step-by-step explanation:

● Make sure you write the polynomials correctly. Pay attention to the + and - signs.

● Combine like terms: variables with variables and constants with constants

● Combine the variables with the same power. For example 2x^2 with 5x^2

● write the terms left after combining

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The population of a certain community is known to increase at a rate proportional to the number of people present at time t. If

attashe74 [19]

Answer:

$t=7.85 years$

Step-by-step explanation:

We can write this rate as an ordinary differential equation.

$\frac{dP}{dt}=aP$

Where a is proportional constant, P the population variable, and t the time.

$\frac{dP}{P}=adt$

Integrating each side of the equation.

$\int \frac{dP}{P}=\int adt$

$ln(P)=at+c$

$P=e^{at+c}$

$P=e^{c}e^{at}=Ce^{at}$

To find C we need to use the initial condiction, it means evaluae P at t=0.

$P_{0}=Ce^{0}=C$

$P=P_{0}e^{at}$

Now, we use the sentence the population has doubled in 5 years.

$2P_{0}=P_{0}e^{a5}$

We can find "a" in this condition.

$2=e^{a5}$

$ln(2)=a5$

$a=\frac{ln(2)}{5}$

$a=0.14$

Finally, let's find how long will it take to triple.

$3P_{0}=P_{0}e^{0.14t}$

$3=e^{0.14t}$

$t=\frac{ln(3)}{0.14}$

$t=7.85 years$

I hope it helps you!

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3 years ago

What has 2 fewer sides than a heptagon

AVprozaik [17]

A pentago Which Is A Five Side Figure and a heptagon is a seven sided figure

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3 years ago

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Zachary visits a flower shop to purchase roses to be delivered to his mother for her birthday. The cost of the roses is modeled

Afina-wow [57]

Answer:

y = 2.5 + 4.75, every additional rose sold , x, increases the cost of the rose, y, by 2.50

Step-by-step explanation:

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3 years ago

PLEASE HELP ASAP! NO SCAMS!

pshichka [43]

Answer:

Step-by-step explanation:

Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:

$M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1)$ So the "new" line will go through this point.