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

1 answer:

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.

You might be interested in

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

3 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