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lisov135 [29]
2 years ago
14

What are zeros of the function? What are there multiples? f(x) = 4x^3 -20x2 + 24x

Mathematics
1 answer:
bixtya [17]2 years ago
7 0
When X=0, the function would be:

<span>f(x) = 4x^3 -20x2 + 24x
0= </span><span>4x^3 -20x2 + 24x       ----->divide all by x
</span>x(4x^2 -20x + 24)  =0     ------> split -20x into -12x and -8x
x(4x^2 -12x -8x + 24)
x{4x(x-3)  - 8(x -3}
x(4x-8) (x-3)
x1= 0
x2= 8/4= 2
x3= 3
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You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.
postnew [5]

<em><u>This problem seems to be wrong because no minimum point was found and no point of landing exists</u></em>

Answer:

1) There is no maximum height

2) The ball will never land

Step-by-step explanation:

<u>Derivatives</u>

Sometimes we need to find the maximum or minimum value of a function in a given interval. The derivative is a very handy tool for this task. We only have to compute the first derivative f' and have it equal to 0. That will give us the critical points.

Then, compute the second derivative f'' and evaluate the critical points in there. The criteria establish that

If f''(a) is positive, then x=a is a minimum

If f''(a) is negative, then x=a is a maximum

1)

The function provided in the question is

h(x)=2x^2-12x+20

Let's find the first derivative

h'(x)=4x-12

solving h'=0:

4x-12=0

x=3

Computing h''

h''(x)=4

It means that no matter the value of x, the second derivative is always positive, so x=3 is a minimum. The function doesn't have a local maximum or the ball will never reach a maximum height

2)

To find when will the ball land, we set h=0

2x^2-12x+20=0

Simplifying by 2

x^2-6x+10=0

Completing squares

x^2-6x+9+10-9=0

Factoring and rearranging

(x-3)^2=-1

There is no real value of x to solve the above equation, so the ball will never land.

This problem seems to be wrong because no minimum point was found and no point of landing exists

3 0
3 years ago
89b - 34 = 411<br> help me new answer
Bess [88]

Answer:

b = 5

Step-by-step explanation:

89b = 411 + 34 (445)

89b = 445

b = 5

3 0
2 years ago
Read 2 more answers
A straw has a diameter of 0.6cm and a length of 19.5 cm. What is the surface area of the straw round to the nearest tenth. Use 3
Nadusha1986 [10]

Answer:

37.3032cm^2

Step-by-step explanation:

Given data

Diameter= 0.6cm

Radius= 0.3cm

Lenght = 19.5cm

Surface area (A) =2πrh+2πr^2

Substitute

A=2*3.14*0.3*19.5+2*3.14*0.3^2

A=36.738+0.5652

A=37.3032

Hence the surface area is

37.3032cm^2

6 0
2 years ago
the Indian Ocean is 2/10 of the area of the world's oceans. what fraction represents the area of the remaining oceans that make
Shtirlitz [24]
8/10 or 4/5 is what makes up the remaining oceans
4 0
2 years ago
PLEASE HELP PLEASE HELP PLEASE
WARRIOR [948]

f is given as -3

-3 is greater than -4, so use the second equation 3x-5.

replace x with -3 and calculate:

3(-3) - 5 = -9 - 5 = -14


The answer is -14.

6 0
3 years ago
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