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
PtichkaEL [24]
3 years ago
7

Which relation is a function?

Mathematics
1 answer:
Schach [20]3 years ago
6 0

The second one is the answer.

You might be interested in
How to solve the inequality 1/5 ≤ x/15?
MAXImum [283]

Answer:

3 <_ x

Step-by-step explanation:

multiply both sides by 15

1/5 * 15 <_ x

15/5 <_ x

3 <_ x

8 0
3 years ago
A 236 inch board is cut into two pieces. one piece is three times the length of the other. find the length of the two pieces
kirill [66]

let length of one piece = x

length of other piece = 236-x

one piece is three times the length of the other

x=3(236-x)

x=708-3x

4x=708

x=177

so first piece is 177 inches long and second piece is (236-177)= 59 inches long

7 0
3 years ago
Omg someone pleaseeee help me!!! 30 points!!!
Crank

add the volume of a cone, V=1/3 pi times radius squared times h. The volume of the cone is V=355. Then you add the volume of the cone to the volume of the cylinder. the formula for the volume of a cylinder is V= pi times radius squared times h. So the volume of the cylinder will be V=923. if you add those two together the overall volume is 1,278.

8 0
3 years ago
In a single growing season at the smith family orchard, the average yield per apple tree is 150 apples when the number of trees
Mariana [72]

Answer:

100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

Step-by-step explanation:

<u>Functions </u>

Expressing some quantities in terms of other(s) comes in handy to understand the behavior of the situations often modeled by those functions.

Our problem tells us about the smith family orchard, where the average yield per apple tree is 150 apples when the number of trees per acre is 100 (or less). But the average yield per tree decreases when more than 100 trees are planted. The rate of decrease is 1 for each additional tree is planted

Let's call x the number of trees planted per acre in a single growing season. We have two conditions when modeling:  when x is less than 100, the average yield per apple tree (Ay) is (fixed) 150.

Ay(x)=150\ ,\ x\leqslant 100

When x is more than 100:

Ay(x)=150-x\ ,\ 100< x\leqslant 150

The upper limit is 150 because it would mean the Average yield is zero and no apples are to be harvested

Part 1

We are asked what happens if the number of trees per acre was doubled, but we don't know what the original number was. Let's make it x=60

If x=60, then we must use the first function, and

Ay(60)=150

The yield per acre will be 150*60=9000 apples

If we doubled x to 120, we would have to use the second function

Ay(120)=150-x=30

The yield per acre will be 30*120=3600 apples

Note that doubling the number of trees would make the production decrease

If we started with x=30, then  

Ay(30)=150, and we would have 150*30=4500 apples per acre

We already know that for x=60 (the double of 30), our production will be 9000 apples per acre

This shows us that in some cases, increasing the number of trees is beneficial and in other cases, it is not

Part 2

The total yield is computed as

Y(x)=x.Ay(x)

This function will be different depending on the value of x

Y(x)=150x\ ,\ x\leqslant 100

Y(x)=150x-x^2\ ,\ 100< x\leqslant 150

To find the maximum total yield we take the first derivative

Y'(x)=150\ ,\ x\leqslant 100

Y'(x)=150-2x\ ,\ 100< x\leqslant 150

The first expression has no variable, so the total yield must be evaluated in the endpoints

Y(0)=0

Y(100)=15000

Now, the second expression contains variable, it will be set to 0 to find the critical point

150-2x=0

x=75

x is outside of the boundaries, we cannot find the maximum in this interval

Answer: 100 trees should be planted per acre to maximize the total yield (15000 apples per acre)

7 0
3 years ago
Which expression is equivalent to (4p^-4 q)^-2/ 10pq^-3?
Anit [1.1K]

Answer:

\dfrac{p^{7} q}{160}

Step-by-step explanation:

\dfrac{(4p^-4 q)^-2}{10pq^-3} =

= \dfrac{4^{-2}p^{-4\times (-2)} q^{-2}}{10pq^-3}

= \dfrac{4^{-2}}{10}p^{8-1} q^{-2-(-3)}

= \dfrac{1}{4^2 \times 10}p^{7} q^{-2 + 3}

= \dfrac{1}{160}p^{7} q

= \dfrac{p^{7} q}{160}

4 0
2 years ago
Read 2 more answers
Other questions:
  • If it took eight men ten hours to build a wall, how many hours would it take four men to build it?
    7·2 answers
  • PLS HELP PLS FAST I NEED HELP
    5·1 answer
  • PLz help <br> 1. -6x =3.6<br> 2. x/2=-4/5<br> 3. 2/3x=-8<br> 4. m/-9=4.1
    10·1 answer
  • You panit 1/3 of a wall in 1/4 hour at that rate how long will it take you to paint one wall
    9·2 answers
  • Many credit card companies charge a compound interest rate of 1.8% per month on a credit card balance. Miriam owes $650 on a cre
    10·1 answer
  • Please help!!!!!!!!!!!!!!!!!!!!!!!!
    10·2 answers
  • What is the answer for x+6x
    5·1 answer
  • HELP PLEASE!!!!!!!!!!!!!!
    9·1 answer
  • What is the answer if <br> Increase 12% by 30%
    6·2 answers
  • Is (-1,2) a solution to the following system of equations? Show and explain why or why not.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!