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2 years ago

X² – 2xy + y², x² + 2xy + y², 4x² – xy + y², x² – y²

Mathematics

1 answer:

lorasvet [3.4K]2 years ago

7 0

Answer:

$\left(4x^2-xy+y^2\right)\cdot \left(x+y\right)^2\cdot \left(x-y\right)^2\\$

Step-by-step explanation:

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Jayden has been reading a 275275275-page book for English class. On average, he has read about 101010 pages in 151515 minutes (\

maxonik [38]

First let's define variables:
r: reading
s: skimming
We write the system of equations that adapts to the problem:
r + s = 275
(15/10) r + (10/15) s = 355
We solve the system of equations:
r = 206
s = 69
Note: see attached image for system solution.
Answer:
Jayden had to skim 69 pages through

8 0

3 years ago

The current population of a town is 10,000 and its growth in years can be represented by P(t) = 10,000(0.2)^t, where t is the ti

DiKsa [7]

Answer:

1) 20%

2) Choice a.

Step-by-step explanation:

$P(t)=10000(0.2)^t$

1) $P(0)$ is the population initially.

$P(1)$ is the population after a year.

$\frac{P(1)}{P(0)}$ represents the population increase factor.

So let's evaluate that fraction:

$\frac{P(1)}{P(0)}$

$\frac{10000(0.2)^1}{10000(0.2)^0}$

$\frac{0.2^1}{0.2^0}=\frac{0.2}{1}=0.2$

0.2=20%

2) Let's figure out the population growth in terms of months instead of years.

$P(t)=10000(0.2)^{t}$

We want t to represent months.

A full year is 12 months, in a full year we have that $P(1)=10000(0.2)^1=10000(0.2)=2000$

So we want a new P such that $P(12)=2000$ since 12 months equals a year.

Let's look at the functions given to see which gives us this:

a) $P(12)=10000(0.87449)^{12}=2000 \text{approximately}$

b) $P(12)=10000(0.87449)^{12(12)}=0 \text{ approximately}$

c) $P(12)=10000(0.87449)^{\frac{1}{12}}=9889 \text{approximately}$

d) $P(12)=10000(0.87449)^{12+12}=400 \text{approximately}$

So a is the function we want.

Also another way to look at this:

$P(t)=10000(.2)^t$ where $t$ is in years.

$P(t)=10000(.2^\frac{1}{12})^t$ where $t$ is in months.

And $.2^\frac{1}{12}=0.874485 \text{approximately}$

8 0

3 years ago

Caleb and Sarah are having a valentines party. They hay 3 1/2 pounds of candy to divide 14 goodie bags.How much candy will be in

antoniya [11.8K]

Answer:

0.25 pounds of candy

Step-by-step explanation:

3.5 divided by 14 is 0.25

3 0

3 years ago

A hiker descends from a mountain peak. If the hiker descends at a rate of 700 feet every half hour, what is the hiker's elevatio

geniusboy [140]

Answer:

-4,200 feet

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The model shows the expression 21 + 9. A model with 3 rows of 7 squares and 3 rows of 3 squares. Which expression is equivalent

DaniilM [7]

Answer: the answer is 3(7+3)

Step-by-step explanation: since 7+3 is in paranthases you add them first to get 10 and you multiply it by the 3 to get 30. We know its correct because 21+9=30.

7 0

3 years ago

Read 2 more answers

X² – 2xy + y², x² + 2xy + y², 4x² – xy + y², x² – y²​

X² – 2xy + y², x² + 2xy + y², 4x² – xy + y², x² – y²