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Vika [28.1K]
3 years ago
11

Write an equation for the cubic polynomial function whose graphs has zeros at 2, 3, and 5

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

Step-by-step explanation:

this is essentially

(x-2)(x-3)(x-5) = 0

now to find the cubic function we just expand.

the answer:

x^3 - 10x^2 +31x - 30

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In​ 2000, 49 % of the residents in a large city regularly used newspapers for getting news and this has decreased at an average
Crazy boy [7]

Answer:

The required function is P(x)=-1.3x+49.

Step-by-step explanation:

Let P(x) be the percentage of​ residents who regularly used the news outlet x years after 2000.

It is given that in​ 2000, 49 % of the residents in a large city regularly used newspapers for getting news.

Initial percentage of​ residents who regularly used the news = 49

It has decreased at an average rate of approximately 1.3 % per year since 2000.

It is decreasing by 1.3% so,

Slope=-1.3

The slope intercept form of a line is

y=mx+b                 .... (1)

where, m is slope and b is y-intercept or initial value.

Substitute y=P(x), m=-1.3 and b=49% in equation (1).

P(x)=-1.3x+49

Therefore, the required function is P(x)=-1.3x+49.

6 0
3 years ago
9p+3=-p+7+2p+3p what is the answers to this equation
Nadusha1986 [10]

Answer:

p= 4/5

Step-by-step explanation:

9p-3p-2p+p=7-3

5p= 4

p= 4/5

4 0
3 years ago
Read 2 more answers
Convert 600 miles per hour to kilometers per hour
ELEN [110]
965.606 kilometers per hour hoped this helped
5 0
3 years ago
Read 2 more answers
Please help me with this question :c
Ray Of Light [21]

Answer:

49/81

Step-by-step explanation:

(7/9)^2 (Square both the numerator and denominator)

(7^2)/(9^2)

49/81

4 0
3 years ago
The population of a city grows exponentially at rate of 8% per year.Find the number of years it takes for the population to be d
Ilya [14]

Answer:

<em>It will take 9 years for the population to double</em>

Step-by-step explanation:

<u>Exponential Growth </u>

The natural growth of some magnitudes can be modeled by the equation:

P=P_o(1+r)^t

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

The population of a city grows at a rate of r=8% = 0.08 per year. We are required to find when (t) the population will double, or P=2Po.

Substituting in the equation:

2P_o=P_o(1+0.08)^t

Simplifying:

2=(1.08)^t

Taking logarithms:

\log 2=\log (1.08)^t

Applying the exponent property of logs:

\log 2=t\log (1.08)

Solving for t:

\displaystyle t=\frac{\log 2}{\log (1.08)}

Calculating:

t\approx 9

It will take 9 years for the population to double

8 0
3 years ago
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