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Katarina [22]
3 years ago
11

A third-degree polynomial function f has real zeros -2, ½, and 3, and its leading coefficient negative. Write an equation for f.

Sketch the graph of f. How many different polynomials functions are possible for f?
Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
F(x) = k(x+2)(2x-1)(x-3), where k is some constant
= k(2x^3-3x^2-11x+6)
= k(-2x^3+3x^2+11x-6)

k defines some vertical stretch, so there are an infinitely many solutions for f(x).
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Doctors can use radioactive chemicals to treat some forms of cancer. The half life of a certain chemical is 7 days. A patient re
RoseWind [281]

Answer:

5 millicuries

Step-by-step explanation:

Half life is 7 days which means it will be at 10 millicuries if we half that again for another 7 days then it will be 5.

6 0
3 years ago
The lifespan, in years, of a certain computer is exponentially distributed. The probability that its lifespan exceeds four years
kompoz [17]

Answer:

The correct answer is "0.300993e^{-0.300993x}".

Step-by-step explanation:

According to the question,

⇒ P(x>4)=0.3

We know that,

⇒ P(X > x) = e^{(-\lambda\times x)}

⇒     e^{(-\lambda\times 4)} = 0.3

∵ \lambda = 0.300993

Now,

⇒ f(x) = \lambda e^{-\lambda x}

By putting the value, we get

           =0.300993e^{-0.300993x}

3 0
3 years ago
How much interest is $15. yr in percent form
rewona [7]
1.15 I think in an equation form I’m not sure though
7 0
3 years ago
The box-and-whisker plot below shows the age distribution of people at a family reunion.
Wewaii [24]

Answer: answer is c

Step-by-step explanation: quizlet

4 0
3 years ago
Find the linear approximation for f(x) = 12x3 + 3x2 + x + 2 at x= 1.
Alchen [17]

Answer:

y = 43x − 25

Step-by-step explanation:

Evaluate the function at x=1:

f(x) = 12x³ + 3x² + x + 2

f(1) = 12 + 3 + 1 + 2

f(1) = 18

Find the slope of the tangent line at x=1:

f'(x) = 36x² + 6x + 1

f'(1) = 36 + 6 + 1

f'(1) = 43

Point-slope form:

y − y₀ = m (x − x₀)

y − 18 = 43 (x − 1)

Convert to slope-intercept form:

y − 18 = 43x − 43

y = 43x − 25

Graph:

desmos.com/calculator/giumpkkphr

8 0
3 years ago
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