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LuckyWell [14K]
3 years ago
9

The zeros of a function are 2,-3i, and 5i. What are it x intercepts and its factors?

Mathematics
1 answer:
Alexeev081 [22]3 years ago
3 0

Step-by-step explanation:

The real intercept is (x-2)

The imaginary intercepts are

(3i,0) (-3i, 0) (-5i,0) (5i, 0)

The factors are

(x - c)

(x - (-3i) = (x+3i)

(x-(3i) = (x-3i)

(x - (-5i) = (x+5i)

(x-(5i) = (x-5i)

(x-(2)) = (x-2)


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The South Coast Air Basin (Los Angeles, Orange, and San Bernardino counties) does not meet the air quality standards for carbon
Archy [21]

Answer:

0.2225 gr/mile

Step-by-step explanation:

Let's work out first the amount of CO sent out in 1990.

The population we estimated in 12.5 million people with a total of driven miles per year of about  

12.5 million*8,700 = 108,750 million miles.

With an CO emission factor of 0.9 g per mile, we would have a total of CO emitted rounding 0.9*180,750 = 97,875 million grams

Now, we must estimate the population for 2020.

Since we are assuming an exponential growth, the population in year t is given by a function

\bf P(t)= Ce^{kt}

where C and k are constants to be determined.

We can take 1980 as year 0. This way calculations are lighter. 1990 is year 10 and 2020 is year 20.

So P(0) = 10.3 and C=10.3

So far we have

\bf P(t)= 10.3e^{kt}

Given that P(10)=12.5

\bf 10.3e^{k*10}=12.5\rightarrow e^{10k}=\frac{12.5}{10.3}=1.21359\rightarrow \\10k=log(1.21359)\rightarrow k=0.01936

And the function that models the population growth is

\bf P(t)= 10.3e^{0.01936t}

We need P(20)

\bf P(20)= 10.3e^{0.01936*20}=10.3e^{0.38717}=15.17\;million

If the miles driven per person per year remains constant at 8700 mi/yr.person, then we have a total miles driven of

15.17*8,700=131,979 million miles, so the CO emitted would be 0.9*131,979=118,781.1 million grams.

The 30% of the CO sent out in 1990 is 0.3*97,875=29,362.5 million grams.

We must reduce 118,781.1 down to 29,362.5

Hence the new CO emission factor would be

29,362.5/131,979 = 0.2225 gr/mile

6 0
3 years ago
Please solve ASAP i need this for a quiz bc last day to complete
trapecia [35]
Can’t see questions!
6 0
3 years ago
Divide the polynomial x^3+x^2-2x+3 by (x-1)​
Anni [7]

Answer:

x² + 2x + (3 / (x − 1))

Step-by-step explanation:

Start by setting up the division:

.........____________

x − 1 | x³ + x² − 2x + 3

Start with the first term, x³.  Divided by x, that's x².  So:

.........____x²______

x − 1 | x³ + x² − 2x + 3

Multiply x − 1 by x², subtract the result, and drop down the next term:

.........____x²______

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

...................2x² − 2x

Repeat the process over again.  First term is 2x².  Divided by x is 2x.  So:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

.........-(x³ − x²)

...........----------

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Multiply, subtract the result, and drop down the next term:

.........____x² + 2x __

x − 1 | x³ + x² − 2x + 3

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...........----------

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.................-(2x² − 2x)

.................---------------

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x doesn't divide into 3, so that's the remainder.

Therefore, the answer is:

x² + 2x + (3 / (x − 1))

8 0
3 years ago
The length of a rectangle is 6 ft longer than its width. if the perimeter of the rectangle is 52 ft , find its area.
sveticcg [70]
Let its width be w and length= w+6
2(w+6+w)=52
4w+12=52
4w=40
w=10
Area=10*(10+6)=160
7 0
3 years ago
If y = 9.99 inches, what is the perimeter of the rhombus shown above
Finger [1]

Answer:

39.96‬ inches

Step-by-step explanation:

A rhombus is any parallelogram with equal sides, including a square.

so 9.99*4=39.96‬ inches

5 0
3 years ago
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