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
3241004551 [841]
3 years ago
10

What is the maximum vertical distance between the line

Mathematics
1 answer:
Anni [7]3 years ago
3 0
The difference, I'll call d, vertically between the functions is:

d=x+56-x^2

Now we can take the derivative of d with respect to x:

dd/dx=-2x+1

dd/dx=0 when -2x+1=0, x=1/2

d(1/2)=x+56-x^2=56.25

Now you can check the endpoints just in case...

d(-7)=0 and d(8)=-16

So the maximum vertical distance of 56.25 units occurs when x=1/2
You might be interested in
"A country has 50 million people, 30 million of whom are adults. Of the adults, 5 million are not interested in working, another
Pani-rosa [81]

Answer:

There are 20 million people in the labour force.

Step-by-step explanation:

There are 50 million people in the country.

30 million people are adults.

Out of the 30 million, 5 million are not interested in working. Assuming every adult does what he/she wants, then these 5 million are not working. The list then reduces to

30 - 5 = 25 million.

Another 5 million are interested in working but have given up looking for work. The list reduces to

25 - 5 = 20 million.

5 million people are working part time but would like to work full time. They are working, it doesn't matter if it is part time or full time, they are in the labour force.

10 million people are working full time. They are also in the labour force.

THERE ARE 20 MILLION PEOOLE IN THE LABOUR FORCE

3 0
4 years ago
A cook has 6 1/2 cups of sliced carrots<br> how many 3/4 cup servings of carrots is this
Vikki [24]
Answer
8 2/3 cup servings of carrot.

Explanation
Divide 61/2 by 3/4
6 0
3 years ago
Read 2 more answers
What kind of association is this, negative or positive?​
erik [133]

Answer:

negative association

Step-by-step explanation:

This diagram is a scatter plot which represents a set of data.  Data on a scatter plot can fit one of three descriptions:  positive (increasing), negative (decreasing) or no association (points do not form any kind of line).  Given this data and the line of best fit, or the line that pass through the majority of the points, it is a decreasing line.  Since the line goes downhill, it is a negative association.  

7 0
4 years ago
Find the slope of each line y = -x-1 = answer is ?
Aloiza [94]
It is -1 because there is a negative one in front of the x.
3 0
4 years ago
Which of the following rational functions is graphed below?
jolli1 [7]

Because we have a vertical asymptote at x = -1, we conclude that the correct option is C.. Which of the following rational functions is graphed below? In the graph, we can see that we have a vertical asymptote at x = -1.. …

8 0
1 year ago
Other questions:
  • Solve using the quadratic formula
    7·1 answer
  • If sin x = .99 and tan x = 7.07, what is cos x?
    7·1 answer
  • 3x+2(4x+2)2(6x+1)<br> what is the answer
    11·2 answers
  • Last season he scored 179 touchdowns. This season he scored 253 touchdowns.
    10·1 answer
  • Tickets for a baseball game sell for $3. One hundred fifty were sold in advance. The stands has 400 seats.
    11·2 answers
  • David is looking for the best deal on a laptop that regularly costs $719. Help him compare the price of the laptop at a
    13·1 answer
  • 1/2 (18x + 9) = 3/2 (x - 2)​
    10·2 answers
  • HELP NOW!!!!
    8·1 answer
  • i a stoc kcar model is built to scale of 1 cm : 2.5 ft and the model measures 7.7 cm in length, what will be the length of actua
    14·1 answer
  • Please help me with this
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!