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inna [77]
3 years ago
15

If the cubic function P(x) includes the points (−4, 0), (0, 0), and (2, 0), which of the following represents this function?

Mathematics
1 answer:
erica [24]3 years ago
8 0
We observe that the function has the following behavior:
 x y
 -4 0
 0 0
 2 0
 Therefore, the function that best suits this behavior is:
 P (x) = 0
 This function is the same as a horizontal line along the entire x axis.
 Answer:
 P (x) = 0
 Horizontal line along the x axis.
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P(t) = 250 * (3.04)^t/1.98,
Alex17521 [72]

Answer:

The concept which best describes the change of the population is the derivative of p(t)=250(3.04)^{\frac{t}{1.98}}.

Step-by-step explanation:

Observe that the function p(t)=250(3.04)^{\frac{t}{1.98}} describes the amount of rabbits at the time t (in years) but  no the rate of change of the population at a given instant. So you have to use the derivative of p(t) to obtain that rate of change at any instant. For example, if we derivate the function p(t)=250(3.04)^{\frac{t}{1.98}} we obtain:

p'(t)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{t}{1.98}}

And if we want to find the rate of change at t=5 years we evaluate

p'(5)=250\cdot \log(\frac{1}{1.98})(3.04)^{\frac{5}{1.98}}=2326 rabbits/year

5 0
3 years ago
6. What are the extremes of the following proportion? 3⁄15 = 12⁄60 A. 3 and 60 B. 3 and 15 C. 15 and 12 D. 12 and 60
bonufazy [111]
3 and 60 are the extremes while 15 and 12 are the means. 
4 0
3 years ago
Which is the measure of line segment AB?<br> A)10 feet<br> B)15 feet<br> C)20 feet<br> D)100 feet
zavuch27 [327]
Find the last angle:
180-(30+90)
180-(120)
60

Evaluate using sine rule:
\frac{c}{sinC}=\frac{b}{sinB}

c=\frac{bsinC}{sinB}

=\frac{10sin90°}{sin30°}

=20

The length of line segment AB is 20 feet (answer choice C)
5 0
2 years ago
Read 2 more answers
What is the value of x? (5 points)
Svetlanka [38]
30 + 2x = 90
2x = 60
x = 30

Answer:
x = 30
7 0
2 years ago
Help!!! ---- The graph of a function is a line that passes through the points (1,4), (3,8), and (6,y). What is the value of y?
natima [27]

Answer:

y = 14

Step-by-step explanation:

First find the slope of the line. To find the slope of the line, use the slope formula:

m = \frac{y_2-y_1}{x_2-x_1} = \frac{8-4}{3-1} =\frac{4}{2}=2

The slope of the line is 2.

Repeat this same process instead with points (1,4) and (6,y). Substitute m = 2.

2 = \frac{y-4}{6-1} \\\\ 2=\frac{y-4}{5}\\\\ 10=y-4\\\\14b= y

So y = 14.

5 0
3 years ago
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