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Salsk061 [2.6K]
2 years ago
6

Show why x−3 is a factor of m(x)=x3−x2−5x−3. Justify your answer. You can show this using remainder theorem, long division, synt

hetic division or any method you choose.
Mathematics
1 answer:
Marat540 [252]2 years ago
7 0

The factors of a polynomial function are the zeros of the function

It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

<h3>How to show why the x - 3 is a factor</h3>

The function is given as:

m(x) = x^3 - x^2 - 5x - 3

The factor is given as:

x - 3

Set the factor to 0

x - 3 = 0

Solve for x

x = 3

Substitute 3 for x in the function

m(3) = 3^3 - 3^2 - 5(3) - 3

Evaluate

m(3) =0

Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3

Read more about factors at:

brainly.com/question/11579257

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The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
2 years ago
Solve for k.<br> k/7 + -31= -34
Ksju [112]


7
−
3
1
=
−
3
4
k
k
7
−
31
=
−
34
7kk​−31=−34

2
7
−
3
1
=
−
3
4
I think that’s the right answer
7 0
3 years ago
If two pyramids have the same height, what must be true of the pyramids for them to also have the same volume? The pyramids must
vodka [1.7K]

Answer:

The area of the bases must be the same.

Step-by-step explanation:

Volume=LxWxH

Length and width create the base so another formula would be V=B•h, and if they have the same height they would need the same base. Hope this helps, sorry if I’m incorrect.

6 0
3 years ago
Read 2 more answers
Jim types 1800 words in 25 minutes. How many words does he type per minute
kirill [66]
1800 divided by 25 is 72. He types 72 words per minute.
3 0
3 years ago
jody wants to figure out how he spends his time. currently, he spends 12 days out of a 30-day month practicing the piano. How mu
shtirl [24]

Answer:

percent- 40%

decimal- 0.4

percent- 2/5

Step-by-step explanation:

you divide 30 by 12 because he practices piano 12/30 days of the month

3 0
3 years ago
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