The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers. Which statement describes the limitation for the reasonable range compared to the mathematical range? The limitation for the reasonable range restricts it to positive real numbers. The limitation for the reasonable range restricts it to positive whole numbers. The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40. The limitation for the reasonable range restricts it to whole numbers greater than or equal to 0 and less than or equal to 40.

Answers

Answer 1

Answer:

x ∈ R ( 0 , + ∞ )

Step-by-step explanation:

In the function:

F(x) = 4*x -0,1*x²

The domain of  F(x) is all the set of real numbers

R ∈ ( -∞ , +∞ )

values for F(x), can be found from negative and positive values of x

for instance for:

x = -2          F(x) = 4*(-2) - 0,1 * (-2)²        F(x) = - 8,4

x = 2           F(x) = 4*(2) - 0,1 * (2)²           F(x) = 7,6

But distance x could not be negative ( there is not negative distance in the real world), therefore the reasonable range restricts values of x only to positive values.

Then x can be any number x ≥ 0  ( distance could be 0 )

Answer 2

Answer:

C) The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40.

Step-by-step explanation:

its right on edg


Related Questions

Mrs. Schmidt overlooked a bill and
had to pay a $15.00 late fee. The
total of the bill and the late fee
was $90.00. About what percent
of the grand total was the late fee?

Answers

Answer:

Step-by-step explanation:

It's besacilly asking what percentage of 90 is 15

15/90 is equal to 1/6

1/6 is about 16.67

Answer:

Step-by-step explanation:

Given a right triangle with sides of length a, b, and c and area a²+b²-c², find c/b, the ratio of the legs of the right triangle.

Answers

Answer:

4

Step-by-step explanation:

Looking at the sketch we can formulate 2 equations:

Pythag: [tex]b^{2} +c^{2} =a^{2}[/tex]

Area of triangle= [tex]\frac{1}{2} bc[/tex]

But area also = [tex]a^{2} +b^{2} -c^{2}[/tex] (from the question)

Therefore [tex]\frac{1}{2} bc[/tex] =  [tex]a^{2} +b^{2} -c^{2}[/tex]

But we can sub in the expression for [tex]a^{2}[/tex] from pythag. ([tex]b^{2} +c^{2} =a^{2}[/tex])

[tex]\frac{1}{2} bc= b^{2} +c^{2} +b^{2} -c^{2}[/tex]

[tex]\frac{1}{2} bc=2b^{2}[/tex]

[tex]bc=4b^{2}[/tex]

[tex]c=4b[/tex]

[tex]c/b= 4b/b=4[/tex]

The angles on an original drawing must be multiplied by the scale factor to find the angles on a scale copy.
O True
O False

Answers

False
When a drawing is scaled, the angles are preserved, meaning they don’t change.

If jake had 2 apples and Albert ate 1 how many apples are left?​

Answers

One apple would be left
Answer: 1 Apple

Explanation: If Jake has 2 apples and 1 is taken away Jake 1 apple left.

You plan on using cost-based pricing. The cost of your product is $10, and you are planning a 30% mark-up. What should the price of your product be?

Answers

Answer:

Selling price= $13

Step-by-step explanation:

Giving the following information:

The cost of your product is $10, and you are planning a 30% mark-up.

The price of the product is calculated by adding to the manufacturing costs a predetermined percentage.

Selling price= 10*1.3

Selling price= $13

Based on the cost of the product and the mark-up, the price of the product will be $13.

Price of product

This can be fund using the formula:

= Cost of product x ( 1 + markup percentage)

Solving gives:

= 10 x ( 1 + 30%)

= 10 x 1.3

= $13

In conclusion, the product would be $13.

Find out more on cost based pricing at https://brainly.com/question/4144684.

What is an equation in point- slope form of the line that passes through the points
(−7, 1) and (−3, 9) ?

Answers

Answer:

4/8

Step-by-step explanation:

Just subtract

How many solution does 8(3x-6=6(x+8) have

Answers

Answer:

Step-by-step explanation:

at most 1.

8(3x - 6) = 6(x + 8)

24x - 48 = 4x + 48                   Subtract 4x

24x - 4x - 48 = 4x -4x + 48      Combine

20x - 48 = 48                           Add 48 to both sides.

20x = 96                                 divide by 20

x = 96/20

x = 4.8

No other answer is possible.    

See scor

Betsy a recent retiree, requires $6,000 per year in extra income. She has $60,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of


deposit (CD) paying 5% per year. How much money should be invested in each to realize exactly $6,000 in interest per year?

FO

See score

rses

The amount of money invested at 15% =

The amount of money invested at 5% =

Home

See Score

HERE:

100

er 1 Guided

Answers

Answer:

The amount of money invested at 15% = 30,000

The amount of money invested at 5% = 30,000

Step-by-step explanation:

Calculation for How much money should be invested

Let x dollars = 15%,

Let y dollars= 5%,

x + y = 60,000

0.15x + 0.05y = 6,000

Multiply the 1st Equation by -0.15:

-0.15x - 0.15y = -9,000

0.15x + 0.05y = 6,000

Add the 2 Equations :

-0.1y = -3,000

y=3,000/0.1

y = 30,000

Substitute 30,000 for y in the 1st Equation

x + 30,000 = 60,000

x = 60,000 - 30,000

x= 30,000

PROOF:

.15*30,000+.05*30,000=6,000

4,500+1,500=6,000

6,000=6,000

Hence,

The amount of money invested at 15% = 30,000

The amount of money invested at 5% = 30,000


A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 26 ft long and 20 ft wide.
Find the area of the garden. Use the value 3.14 for it, and do not round your answer.

Answers

Answer:

26 multiplied by 20 is 529 which is the area

Step-by-step explanation: hi

Which equation represents the line that passes through the
points (2,7) and (1, 4)?

Answers

Answer:

y=3x+1

Step-by-step explanation:

Use the slope formula and slope-intercept form  y = m x + b  to find the equation.

Answer:

(-4,3),(2,-12)

slope = (-12 - 3) / (2 - (-4) = -15/6

Step-by-step explanation:

y = mx + b

slope(m) = -15/6

use either of ur points...(-4,3)...x = -4 and y = 3

now we sub into the formula and find b, the y int

3 = -15/6(-4) + b

3 = 10 + b

3 - 10 = b

-7 = b

so ur equation is : y = -15/6x - 7....but we need it in standard form

y = -15/6x - 7...add 15/6 to both sides

15/6x + y = -7...multiply both sides by 6

15x + 6y = -42....which reduces to 5x + 2y = - 14 <===

Lamark goes to a bowling alley to test his belief that rolling a bowling ball slowly will result in knocking down more pins. He gently rolls his bowling ball towards the bowling pins lined up at the end of the lane. The bowling ball stops in the middle of the lane without striking the pins. Which statement below best explains what happened?

Answers

Answer: Ball's kinetic energy became potential energy

Step-by-step explanation:

There are no options attached but this should be along the lines of what happened.

Kinetic energy refers to energy that an object has as a result of it moving whilst potential energy is the opposite and is energy that an object stores within itself due to several factors whilst it is not in motion.

The ball was initially in motion which means that it had kinetic energy but as the ball was slowing down, this energy was gradually converted to potential energy until the balls came to a standstill.

Determine whether the given relations are functions.

Answers

Answer:

Yes, this relation is a function.

Step-by-step explanation:

It is a function because every input (left side) only has one output (right side). It doesn't matter if an output has multiple inputs. As long as an input has only one output, it is a function

Ex: 3 = 8 & 7     NOT an input

4 & 3 = 8          AN input

A 4-pound bag of wildflower seed covers 8 square feet. How many pounds of seed does it it take to cover 1 square foot?

Answers

Answer: it takes half a pound of wild flour to cover 1 square foot

Step-by-step explanation:

Answer: 0.5

4 ÷ 8 = 0.5

This means that 0.5 of wildflower seed covers 1 square foot.

This means that 1 square foot will be covered by 0.5 pounds of birdseed.

Hope this answer helps!

(-82)+(-47)-(+33)do u all know this answer

Answers

Answer:

-157

Step-by-step explanation:

Answer:  -162

Hope this helps you

Step-by-step explanation:

subtract and add

choose the ratio that is equivalent to this one 2/3 A. 6/4 B. 10/15 C. 5/6 D. 4/3​

Answers

B. 10/15
Because:
10/15 divided by 5/5 = 2/3

A pair of jeans was 30% off the original price. The sale resulted in $24 discount.

Answers

Answer:

$80 is the 100% original price

The sale price is $56 with 30% off and $24 in savings.

Step-by-step explanation:

We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of  comparing percent and  comparing the 24 to the original price. We then set them equal.

We then cross multiply across the equal sign from numerator to the opposite numerator.

30(x)=24(100)

30x=2400

We divide to find x.

x=80.

Since we saved $24 as a discount, the sale price would be 80-24=56.

7th grade math help me plzzzz

Answers

a. 6 + 6 = 12
b. 7 + 8 = 15
c. 0 + 0 = 0
d. 5 + -5 = -10

HELPPPP PLZZZ ASAPPP!!!Look at the illustration of four letters from the American Manual Alphabet. Decide whether the description of the letter is a good definition. If not,
choose a counterexample.
The letter I is formed by sticking up the smallest finger and folding all the other fingers into the palm of your hand with the thumb folded over them.
The letter J is a counterexample

The letter y is a counterexample

The letter A is a counterexample

This is a good definition
while keeping your hand still

Answers

Answer: I think it’s J, because the picture is also holding the smallest finger up (the pinky) and the rest of the fingers are folded inside the palm of the hand and the thumb is folded over them, I hope this helps!!

Step-by-step explanation:

The letter J is a counter example. Option a is correct.

Letters of alphabet to be determine.


What are alphabets?

Alphabets are the sets of letters from A to Z.

Here, the little finger is up and all the finger is folded and the thumb folded over the three finger implies its 'J'.

Thus, the letter J is a counter example.

Learn more about alphabets here:
https://brainly.com/question/20261759

#SPJ2


Write a linear equation

Answers

a linear equation is y=mx+b
I don’t remember to much on how to write a linear equation but I did fine this . I hope there’s a step in there that makes you remember on how to write one.
If it doesn’t help I apologize .
Good luck

Willa Schaefer deposited $3,000 in a savings plan with her credit union. The credit union savings plan pays 3% interest compounded semiannually. If she makes no other deposits or withdrawals: what is the amount in the account after 2 1/2years?

Answers

Answer:

225776

Step-by-step explanation:

Trust me i got it right.

At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 12.0 bar with a standard deviation of 1.0 bar based on a very large data set obtained from continuous monitoring.

Required:
What is the probability that the line pressure will exceed 13.0 bar during any measurement?

Answers

Answer:

P [ Z > 13 ] = 0,1587       or       P [ Z > 13 ] = 15,87 %

Step-by-step explanation:

The probability that the line pressure will exceed 13.0 bar is:

P [ Z > 13 ] = 1 - P [ Z ≤ 13]

And  P [ Z ≤ 13] will be find in z table for z (score) =

z ( score) = ( Z - μ₀ ) / σ

z (score) = (13 - 12 )/1

Then from z-table we find

P [ Z ≤ 13] = 0,8413

Finally

P [ Z > 13 ] = 1 - P [ Z ≤ 13]

P [ Z > 13 ] = 1 - 0,8413

P [ Z > 13 ] = 0,1587       or       P [ Z > 13 ] = 15,87 %

PLEASEEE HELPPP!!!! Find the slope given the points (-14,-7) and (-11,-16).

Answers

Answer:

-3

Step-by-step explanation:

Answer:m= -3

Step-by-step explanation:

HELP ASAP IT'S AN EMERGENCY​

Answers

Answer:

AAS

Step-by-step explanation:

It has two sets of angles that are congruent. I'm no 100% so hope the picture helps you a little!!

What happens when more than one factor of production is varied?

Answers

becomes harder to tell a single variable

find the slope of the graphed line though each pair of points​

Answers

Answer:

C

Step-by-step explanation:

Write the equation of a line given the slope is -2 and it goes through the point (4, -3).

Answers

Answer:

Step-by-step explanation:

y= -2x+5

From the point (4,-3) , ince the slope is -2, you start counting 2 up 1 left  2up 1 left.....( or 2down,1 right,2 down 1 right......) But you choose the first to know when you are going to cross the y line

When you reaches the y coordinate you are at 5

So the line intercepts at positive 5

Find the measure of the missing angle

Answers

Answer:

M1=108° M2=72°

Step-by-step explanation:

M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°

Find the solution of the system of equations . - 5x + 9y = 11 x - 3y = - 7
how do i solve this

Answers

Answer:

Solution: x=5, y=4

Step-by-step explanation:

System of Equations

We need to solve:

- 5x + 9y = 11

x - 3y = - 7

There are several ways to solve a system of linear equations. We'll take advantage of the second equation since it has the x with coefficient 1 and solve it for x:

x = - 7 + 3y

Now replace it into the first equation:

- 5(- 7 + 3y) + 9y = 11

Operate:

35 - 15y + 9y = 11

Simplify:

35 - 6y = 11

Rearrange:

- 6y = 11 - 35 = -24

Solve:

y = -24 / -6

y = 4

Finally, since

x = - 7 + 3y

x = - 7 + 3*4

x = - 7 + 12

x = 5

Solution: x=5, y=4

How do I write 4,332 in scientific notation??

Answers

Answer:

4.332 x 10 to the 3 power I do believe

Step-by-step explanation:

Answer:

4.332 times 10^3

Step-by-step explanation:

ion kno if thats right but i tried.

P(5, 3) is reflected across the line y = -x. What are the coordinates of P'?

Answers

Answer:

Do you want to know the quardinants if so its in the 1st.

Step-by-step explanation:

Other Questions
WILL GVIE BRAIIEST (50 POINTS) How did the domestic slave trade come about, and do you believe it was mostly different from, or similar to, the Atlantic Slave Trade? please help it's due in a couple of minutes. What are some of the principles that the Founding Fathers developed in the formation of the new nation Which type of source is credible?a text messagea student blogO a government websitea social media websiteC)a government website Bile_____?A: is stored in the pancreasB: helps break down fatsC: helps break down proteinsD: is released through the small intestinePlease do not answer if you do not know, or if you are not 100% sure. Thank you. The Iliad coversGreek culturethe artsa disagreement between brothersthe Trojan war Question 7 of 10Who would be hurt most by high tariffs?O A. Southern farmers, because sales of cotton wouldgodownB. Transportation workers, because it would cost less to ship goodsC. Northern factory owners, because they would produce lessD. Federal workers, because government programs would be cut APEXX!!!! Read the passage from "By the Waters of Babylon.Then I saw their fate come upon them and that was terrible past speech. It came upon them as they walked the streets of their city. I have been in the fights with the Forest PeopleI have seen men die. But this was not like that. When gods war with gods, they use weapons we do not know. It was fire falling out of the sky and a mist that poisoned. It was the time of the Great Burning and the Destruction. They ran about like ants in the streets of their citypoor gods, poor gods! Then the towers began to fall. A few escapedyes, a few. The legends tell it. But, even after the city had become a Dead Place, for many years the poison was still in the ground. I saw it happen, I saw the last of them die. It was darkness over the broken city and I wept.Which theme is best established by the conflict in this passage?1) Advances in technology can lead to devastation.2) War is an unfortunate but necessary path to growth.3) Those who come before us determine the future.4) Coming of age requires risk-taking and bravery. The most complex processing of sensory information occurs in the cerebral cortex.OF what are the 2 things you are not sure about evaluating functions Which of the following would be provided from the use of a GIS?a. map displaying satellite data of farmland useb. map displaying projected path of a hurricanec. Doppler radar images for weather forecastingd. satellite images used to reconstruct a forest fire When 60 mL of 0.22 M NH4Cl is added to 60 mL of 0.22 M NH3, relative to the pH of the 0.10 M NH3 solution the pH of the resulting solution will:____________. Spanish!!!!!!!!!!!!!!!Basfrltdjnrersgtjkmtksa!!!!AEGR B!!!DFSTYNJKMHFRETAHJAHRWFMYFGDEJNQAUBO!^^^only did that so people would notice it easer Find the equation of the perpendicular bisector of AB when A(-7,2) and B(3,4) Fill in the blanks pls tyyyy If the potential difference across a 30.0-ohm resistor is 10.0 volts, what is the current through the resistor?O A 0.25 AOB 3.0 AOC 0.33 AOD. 0.50 A what appears in the jungle almost like a mirage?what else obout the setting is exaggerated or surreal hello nice ppl() What information could be determined by using a scale on a map Nathan will be working between 30 to 39 hours inclusive this week, which is 3 more than triplewhat he worked last week. How many hours could have Nathan work last week?