1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ladessa [460]
3 years ago
6

You throw a ball up and its height h can be tracked using the equation h=2x^2-12x+20.

Mathematics
1 answer:
postnew [5]3 years ago
3 0

<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

You might be interested in
An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second
AleksAgata [21]

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

\displaystyle P(R)=\frac{5}{7}

The probability is's green is computed by

\displaystyle P(G)=\frac{2}{7}

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}

The total probability of the second ball being red is

\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71

The probability that the second ball is red is 71%

7 0
3 years ago
10. A trapezold has a base of x and a helght of 3 units. If there is also a square with sides measuring x,
Nookie1986 [14]

Answer:

I Think 0x2 Or 4x + x3 I'm not 100% Sure

Step-by-step explanation:

I Tried..

6 0
3 years ago
True or False: 3(6z − 4) = 18z − 4
slega [8]

Answer:

FALSE, 3(6z - 4) = 18z - 12

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Can someone tell me the answer please?
vovikov84 [41]
6.241 I think that's right
4 0
3 years ago
(image) 20 point Mathematics​
Sauron [17]

Answer:

A.

Step-by-step explanation:

r=diameter/2

radius=52/2 (Q)

Q =26

4 0
3 years ago
Other questions:
  • An old man wanted to leave all of his money to one of his three sons, but he didn't know which one he should give it to. He gave
    6·2 answers
  • Evaluate the expression below for m = 350. <br><br> 3 - 5m
    9·1 answer
  • Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156
    7·2 answers
  • Tim makes 15.35 per hour. He works 40 hours per week. How much does he make per month
    11·1 answer
  • Help with geometry work
    8·1 answer
  • What is the median of the data in this stem-and-leaf plot?
    8·2 answers
  • Solve the compound inequality 4x – 7 &gt; 5 or 5x + 4 ≤ –6. Question 18 options: A) –2 ≤ x 3 C) x 3
    8·1 answer
  • Solve for brainlist Answer quick pls
    10·1 answer
  • YOOOOOOOOOOOOO HEELPPPPPPPPPPPPPPPP
    7·1 answer
  • PLEASE HELP ASAP WILL GIVE BRAINLIST!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!