3 years ago

What is a quartic function with only two real zeros of x=0 and x=2?

Mathematics

1 answer:

MariettaO [177]3 years ago

5 0

Answer:

x² - 2x = 0

Step-by-step explanation:

a = 0 ; b = 2

x² - (a +b)x + ab = 0

x² - (0 +2 )x + 0*2 = 0

x² - 2x = 0

You might be interested in

What is the area of a circle that has a circumference of 42 inches? A. 140.4 in2 B. 126.60 in2 C. 132.62 in2 D. 21.04 in2

tankabanditka [31]

Circumference = 2 $\pi$ r
   42 = 2 $\pi$ r
42/(2 $\pi$ ) = r
21/ $\pi$ = r

Area = $\pi$ r²
   = $\pi$ (21/ $\pi$ )²
   = 21²/ $\pi$
   = 140.37
   ≈ 140.4

Answer: A

7 0

4 years ago

Emily is observing the velocity of a cyclist at different times. After four hours, the velocity of the cyclist is 14 km/h. After

lina2011 [118]

Assume that Emily starts from rest so that the velocity is zero at 0 hours.

Define the function v(t) for velocity in km/h, and t in hours.

Part A
From t=0 to t=4, v changes from 0 to 14.
Let v(t) = mt + b
The slope is
m = 14/4 = 3.5, and the y-intercept is
b = 0.
Therefore
v(t) = 3.5t, for 0 ≤ t ≤ 4

Fromt=4 to t=9, changes from 14 to 4.
Let v(t) = mt + b
The slope is
m = (4 - 14)/(9 - 4) = -2
Therefore
v = -2t + b
When t=4, v=14, therefore
14 = -2*4 + b = -8 + b
22 = b
v(t) = -2t + 22, for 4 < t ≤ 9.

Answer:
The equation for the velocity is
v(t) = 3.5t, 0 ≤ t ≤ 4
= -2t + 22, 4 < t ≤ 9

Part B
The equation for velocity is a piecewise function that is graphed as shown below. If we assume that the second part of the equation is valid at t=10, then
v(10) = -2*10 + 22 = 2 km/h