The fuel tank of a certain airplane can hold up to gallons of fuel. Let be the total weight of the airplane (in pounds). Let be the total amount of fuel in its tank (in gallons). Suppose that gives as a function of .

Answers

Answer 1
A reasonable function is W = 7F + 5000


Where W is the weight of the plane and F is the number of gallons of fuel.


The domain is the set of possible values for F. That is from 0 (empty tank) to 400 (full tank).


So the domain is F = [0,400], or what is equivalente 0 ≤ F ≤ 400.


The range is the set of values of W.


The minimum value of W is when F = 0 => W = 7(0) + 5000 = 5,000.


The maximum value of W is when F = 400 => W = 7(400) + 5000 = 7,800


So the range is W = [5,000 ; 7,800], pr 5000 ≤ W ≤ 7,800.

Related Questions

If a value in the _______ occurs more than once, then the relation is NOT a function.
Fill in the blank

Answers

Answer: Domain

Step-by-step explanation:

The definition of a function is " a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output." (Mathinsight)

Therefore is a number (x values) appears more than once in the domain then this would not be a function since it doesn't fit the definition of a function.

You receive an inheritance of $15,500, and you place the full amount into a bank account. The bank pays a simple interest rate of 7.5% per year. How much interest have you earned after three years?

Round your answer to the nearest dollar.

Do NOT round until you have calculated your final answer

Answers

To solve this we need to figure out what 7.5% of 15,500 is. (It’s 1162.5). Now we know that after one year it is a total of 16,662.5. We then figure out what 7.5% of 16,662.5 is, which is 1,249.6875. You then add that to 16,662.5 which comes out to 17,912.1875. We then figure out 7.5% of that is 1,343.4140625. We then add that to the last total which is 19,255.6015625 and we simplify that to 19,256 and we find out that the final total is $19,256. But it wants how much have we earned which means we need to subtract the original from the new, which is 3756 and we add a unit.

Meaning the final answer is $3,756.

Solve for x: x - 10 = -12

Answers

Answer:

The answer is -2

Step-by-step explanation:

First you do +10 on both sides leaving you with x = -2

And that is your final answer (x=-2)

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

[tex]\boxed {\sf x=-2}[/tex]

Step-by-step explanation:

[tex]\sf x - 10 = -12[/tex]

[tex]\boxed{\mathrm{Add\:}10\mathrm{\:to\:both\:sides}}[/tex]

[tex]\sf x-10+10=-12+10[/tex]

[tex]\sf x=-2[/tex]

__________________

10.

Match the graph with the correct equation.

A. y + 3 = –(x + 5)
B. y – 5= –(x + 3)
C. y – 3 = (x + 5)
D. y – 3 = –(x + 5)

Answers

Answer:

D. y - 3 = -(x + 5)

Step-by-step explanation:

I used a calculator called m.a.t.h.w.a.y !

Answer:

D. y – 3 = –(x + 5)

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  

(

0

,

2

)

x

y

0

2

1

3

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee thx

Answers

Answer:

Well, the answer is n= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Simplify (Remember to simplify means to write an equivalent expression that uses each variable on')
not have zero or negative exponents.

Answers

Answer:

A) [tex]x^{3} y^{4}[/tex]

B) [tex]-\frac{5x^{2} }{y}[/tex]

C) [tex]9m^{4}n^{4}[/tex]

D)[tex]\frac{1}{x^{3} }[/tex]

Step-by-step explanation:

Hope this helps.

Help me

Number questions

Answers

Step-by-step explanation:

a) Four thousand five hundred thirty-six.

b) arrange in descending order

3456.

c) since we have to make odd number therefore once digit will be odd , 3 ( or 5 too )

so, the number is 6543.

hope this answer helps you dear!

equation of line M is Y=5/8x+1 . Line N is perpendicular to M. What is the slope of line N?

Answers

Step-by-step explanation:

the slope of a line is always the factor of x in the equation. in our case here : 5/8.

the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope (crosses the original line in a right angle = 90 degrees) turns x and y upside-down and flips the sign.

so, in our case, it is -8/5.

jika abcd adalah jajar genjang dengan koordinat titik A(-2,-1). B(3,-1) dan C (5,3) maka koordinat titik d adalah
a. D (3,0)
b. D ( 2,3)
c. D (-4,3)
d. D (0,3)

jumlah bilangan genap antara 0 dengan 51
a. 100
b. 650
c. 2500
d. 98

jumlah bilangan genap kelipatan 3 antara 20 dengan 100 adalah
a. 78
b. 120
c. 780
d. 13​

Answers

1. D. (0,3)

2. B. 650

3. C. 780

Bener semua kok

semoga membantu.

kasi brainliest oi wkwkwk

The graph of a function is shown on the grid.
Which ordered pair best represents the location of the y-intercept?

Answers

Answer:

y-intercept = (0, -2)

Step-by-step explanation:

The y-intercept is the y-coordinate of the point (0, b) where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. Looking at your graph, it shows that the line crosses at point (0, -2).

Therefore, the correct answer is (0, -2).

Pls Help me!A,B,C OR D​

Answers

Answer:

D. y = - 2/3x - 3

Step-by-step explanation:

The slope is - 2/3 and the point on the line is (-3, -1).

Find the y-intercept:

-1 = (-3)(-2/3) + bb = -1 - 2b = -3

The line is:

y = - 2/3x - 3

Correct choice is D

Equation in point slope form

y+1=-2/3(x+3)y+1=-2/3x-2y=-2/3x-3

Option D

Find the slope of the line that passes through (3, 6) and (7, 7).

Answers

Answer:

0.25

Step-by-step explanation:

do y2-y1 divided by x2-x1

Answer:

1/4

Step-by-step explanation:

[tex]m=\frac{7-6}{7-3} =\frac{1}{4}[/tex]

I hope this help you

pls help me on this thank you

Answers

Answer:

C) y+6=-2(x-4)

Step-by-step explanation:

Please solve the math problem for me... I will mark you brainliest

Answers

Answer:

The midpoint is (4,4)

Step-by-step explanation:

AB is a vertical line. This means the x value must be 4. The y value is halfway between 0 and 8, which is 4. Therefore, the midpoint is (4,4).

Answer:

The midpoint is (4,4)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Below is a picture of how it is graphed.

write the equation through the points (0,9) and (5,13)

Answers

Answer:

4x-5y+45=0.

Step-by-step explanation:

1) formula is:

[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]

2) if point A is (0;9) and point B is (5;13), then:

[tex]\frac{x}{5} =\frac{y-9}{13-9}; \ => \frac{x}{5} =\frac{y-9}{4}; \ => \ 4x-5y+45=0.[/tex]

What is
5
90
in decimal form?

Answers

Answer:

590 decimal form is 5.9

Step-by-step explanation:

Answer:

0.05555555555

Step-by-step explanation:

it is only a division

5/90 =

5 : 90 =

0.05555555555

=
The length of a rectangular room is 15 feet longer than the width. If the room's perimeter is 250 feet,
what are the room's dimensions?
Width = 70 ft; length = 280 ft
Width = 55 ft; length = 70 ft
Width = 70 ft; length = 35 ft
Width = 55 ft; length = 220 ft

Answers

Answer:

B. Width = 55ft; length = 70ft

Step-by-step explanation:

it is the only one in which the length is 15 ft longer than that of the width.

ddddwfdwfd qdqfqfqqdqdqdqddqdqdq

Answers

I must speak in your language

ddddwfdwfd qdqfqfqqdqdqdqddqdqdq

Choose the correct item from each drop-down menu to factor the trinomial 3x2 + 13x – 10 by grouping.

Answers

The factors of the given trinomial are (3x-2)(x+5).

What is trinomial?

Trinomial is a polynomial having 3 terms. At least one variable and one operation (addition, subtraction, multiplication, division) must be present in an algebraic expression.

Given is a trinomial 3x²+13x-10, we need to factorize it,

So,

= 3x²+13x-10

To factorize a trinomial, we do find the product of the product of a and c (ax²+bx-c) and find its two factors so that we can add or subtract so that we can find the middle term (b) of the trinomial,

Here,

a = 3, c = 10

a × c = 30

Now,

15 and 2 are the factors of the 30, also 15 - 12 = 13 which is the middle term of the trinomial,

Therefore,

3x²+13x-10 = 3x²+15x-2x-10

= 3x(x+5)-2(x+5)

= (3x-2)(x+5)

Hence, the factors of the given trinomial are (3x-2)(x+5).

Learn more about trinomial, click;

https://brainly.com/question/16347049

#SPJ2

Please help


Mr. Fisher rode his bike from point A to B, then to C, What distance did he travel?

Answers

Answer: 7 m

Step-by-step explanation:

4 + 3 = 7

Answer:

7m

Step-by-step explanation:

Basically, from point A up to B is 4m and from B east to C is 3m.

Hope this helps!

Solve algebraically for all values of x:
8x^4-70x^3-18x^2

Answers

Answer:

x= 0

x= 9

x= -1/4

Step-by-step explanation:

(look at the pic I posted)

Dilations of a triangle are congruent to the original triangle.

Answers

Answer:

origanal

Step-by-step explanation:

origanaol

A racing car on the straight accelerates from 100 km/h to 316 km/h in three seconds.
What is its acceleration?

Answers

Answer:

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average.

=;
Trick Question!
9 < X^2< 99
Max. - Min. = ???

Answers

Answer:

3 < X < 3√11

-3√11 < X < -3

Step-by-step explanation:

The solution consists out of two intervals, so it is unclear what you want calculated with max - min...

what is the best way to explain graphing

Answers

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. ... We then represent the data using a bar graph. The number of each of the supplies is represented with bars. The more the height of the bar, the more is the number of the supply or item used.

Answer:

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Step-by-step explanation:

30 POINTS AND BRAINLEST FOR ANSWER HELP!!!!!

Answers

Answer:

a

Step-by-step explanation:

Pepe paid $35.00 for 4 movie tickets. Each ticket cost the same amount. What was the cost of each movie ticket in dollars and cents?

Answers

Answer:

8.75 dollars per ticket

Step-by-step explanation:

Answer: 8.75 dollars per ticket

Step-by-step explanation:

standard form of (x+4)(x-6

Answers

(x+4)(x-6)
x^2 - 6x + 4x - 24
X^2 - 2x - 24

guy pls help me!!!!!

Answers

Answer:

x = 38

Step-by-step explanation:

180° - 142° = 38 °

....

HI HELP ME W MATH PLSS!!

Hannah drove her car 318.4km in 4h
a) Calculate her average speed=
b) At this speed, how far can she expect to travel in 5.5 h? =

Answers

Answer:

a) 79.6

b) 437.8

Step-by-step explanation:

First, you have to do 318.4/4 to find the rate she goes in the duration of an hour. The rate is 79.6, which means she travels at a rate of 79.6 kilometers per hour.

Then, you have to find the distance she takes to travel in 5.5 hours, so you have to do 5.5*79.6 which is 437.8.

So, Hannah travels 437.8 kilometers in 5.5 hours.

Other Questions
pls help i need help on homework. and i dont understand:6 = 7y - 8please solve using inverse operationsI offer a crown and 20 points VII. Choose the word which best fits each gap. It is a small room. There is some (1) __furniture_______ in the room. There is a bed (2) __under_______ the right of the picture. It is a bed for one person. There are some pictures on the wall. Next to the door, on the left, there (3) _____sfjf____ a chair. There is another chair (4) _________ the table and the bed. The table and chair are below the window. On the table (5) _________ some objects - a jug, a glass and a bowl. Next to the door on the right there is a towel on a peg. Behind the bed there are (6) _________ more things on the wall but (7) _________ arent easy to see. Of course, (8) _________ any modern things in the room and it isnt very comfortable. 1. a. furniture b. picture c. people d. tool 2. a. On b. Under c. Above d. Behind 3. a. are b. is c. have d. has4. a. between b. next to c. beside d. in front of 5. a. there is b. there isnt c. there arent d. there are 6. a. some b. any c. a d. an7. a. there b. it c. they d. that 8. a. there are b. there arent c. there is d. there isnt h e l p quicklyHow much more likely are students who start drinking before age 15 to become alcoholics?2 times4 times10 times20 times Ordered pairs are ordered as (x,y) What is the constant of proportionalityfor the ordered pair (-2,18)? Can somebody help meeeee...? i forgot to attach the photo before.... please help which lobe of the cerebrum contains the primary motor cortex and is the most anterior lobe? The product of a numberX and 40A.X-40B. X+40C 40xD. X/40 can yall help me write a short story with climax the secondary atmosphere of the earth was composed mainly of Jasmine frames a portrait to hang in her bedroom. The length of the frame measure 4.5 feet and the frame has a perimeter of 16 feet. Write an equation that can be used to determine w, the width of the frame.Find the width of the picture frame. Show all work. What is accountancy? why wont my chromebook stay charging while im using it The Conner Company uses a two-step process for making wooden boards with holes in them. Step 1 is drilling and Step 2 is sanding. Drilling can be done using a hand drill that takes 2 minutes to load the bit and 2 minutes to drill each hole. If production of each unit involves drilling 14 holes, what is the maximum output of Step 1 using the manual drill if 1 setup is involved for each order of 1 board NO LINKSSSS PLEASE!!!Which of the following is an example of a gas solution?Select one:a. Air in water.b. Antifreeze in water.c. Bronze alloy.d. Helium in air. VWrite the cubic polynomial function f(x) in expanded form with zeros 6, 5, and 2, given that f(1)=40 Describe and discuss the amino acids. Include information on what they are, their structure, and how many there are. Using your best grammar, write 3-5 sentences. Which of the following are remote interior angles of angle 1? Check all that applyA. Need help ASAP 50 points ?!!! When the valve between the right atrium and rightventricle has an abnormal narrowing, this is known as