The equation y=36.5x represents the number of miles, y, that Katherine can drive her car for every, x, gallons of gas. Find the rate of change.

Answers

Answer 1

Answer:

36.5miles/gallon

Step-by-step explanation:

Given the equation y=36.5x which represents the number of miles, y, that Katherine can drive her car for every, x, gallons of gas. The rate of change of the function is expressed as dy/dx

On differentiating the function;

dy/dx = 36.5

Hence the rate of change of the function is 36.5miles/gallon


Related Questions

Use the Distributive Property to complete the equivalent expression. Enter your answers in the boxes.

4(y – 3) =

Answers

Answer:

4y−12

Step-by-step explanation:

4(y−3)

Use the distributive property to multiply 4 by y−3.

4y−12

Resolución de Problemas con Ecuaciones Lineales
o de Primer Grado.

Ejemplo

Utilizamos el lenguaje algebraico para hacer esa representación.

Sea x número de casos Infectados en Santiago
Sea 2x + 5,088 números de casos Infectados en Sto. Dgo.
Entonces x + 2x + 5,088 = 43,956
x + 2x = 43,956 - 5,088
3x = 38,868
x = 38,868
3
x = 12,912
Luego: x número de casos Infectados en Santiago = 12,912
2x + 5,088 número de casos Infectados en Sto. Dgo. = 2 (12,912) + 5,088 = 31,000 43,956

NESECITO QUE ME AYUDEN A RESOLVER EL PROBLEMA



ACTIVIDAD 1 : Según el boletín #329, d/f 10/02/2021 del Ministerio de Salud Pública, el número total de casos infectados hasta esa fecha en el Distrito Nacional, era el doble más 12,585 casos más que los que había en la provincia de la Santiago. ¿Cuántos contagiados hay en cada una de las provincias si entre las dos suman 89,766 casos?
HELP MEEEEE

Answers

Answer:

what? pls translate it to english

Which are supplementary?

Answers

Answer:

A (first one)

Step-by-step explanation:

Supplementary- the angles add up to 180 degrees.

After viewing the angles, you can see the angles add up to 180.

Solving Rational Functions Zoom in for a closer look Please help I've been stuck for awhile ​

Answers

Answer:

x = 4

Step-by-step explanation:

Given

[tex]\frac{3}{x+4}[/tex] - [tex]\frac{1}{x+3}[/tex] = [tex]\frac{x+9}{x^2+7x+12}[/tex] ← factor the quadratic

[tex]\frac{3}{x+4}[/tex] - [tex]\frac{1}{x+3}[/tex] = [tex]\frac{x+9}{(x+3)(x+4)}[/tex]

Multiply through by (x + 3)(x + 4) to clear the fractions

3(x+3) - (x + 4) = x + 9 ← distribute and simplify left side

3x + 9 - x - 4 = x + 9

2x + 5 = x + 9 ( subtract x from both sides )

x + 5 = 9 ( subtract 5 from both sides )

x = 4

Please help.......................

Answers

Answer:

(B) 80

Step-by-step explanation:

4.3 × 107 + 9.1 × 108 = _____ x 10 ^----
please help

Answers

Answer:

1442.9 = 1.4429 x 10 ^1000

Step-by-step explanation:

PEMDAS

4.3 × 107 + 9.1 × 108 = _____ x 10 ^----

(4.3 × 107) + (9.1 × 108) = _____ x 10 ^---

460.1 + 982.8 = _____ x 10 ^----

1442.9 = 1.4429 x 10 ^1000

This is the right answer, I think you may have forgotten to put the ^.  

Answer:

9.53 × 108

Step-by-step explanation:

Make sure both numbers have the same exponent

4.3 × 107 = 0.43 × 108

Then add the coefficients

0.43 × 108 + 9.1 × 108 = 9.53 × 108

express 2 millimetre centimetre using decimal​

Answers

The answer is 2mm=2/10cm=0.2cm

Solve for X. Round your answer to the nearest tenth.

Answers

Basically add up the given side lengths and subtract that from 180 for the triangles

Find the value of x and each arc measure

Answers

Answer:

x=11

mMN=65

mNP=115

mNQP=245

Step-by-step explanation:

10x-45=6x-1

4x=44

x=11

mMN 6(11)-1=65/ 10(11)-45=65

mNP 180-65=115

mNQP 65+115+65=245

Arthur wants to plant flowers in the triangular section of the garden and vegetables in the rectangular section. Select all the statements that describe the garden.



( Giving Brainliest)

Answers

Answer:

b,e

Step-by-step explanation:

40*50=2000 sqft vegetables

40*30/2=600 sqft flowers

Consider the following expression.
8y + 5+ 3x

Answers

what do you want us to do?

Please do correctly! If you do I will mark you Brainliest!

Answers

Answer:

The figure should be 56 units squared.

Step-by-step explanation:

The long side is 14 units long (6+6+2) and the short side is 4 units long, so 14 multiplied by 4 is 56.

Derek bought his truck for $30,000. The value has dropped by $900 each year. He determined that the value of his truck (V) can be modeled by: V = 30,000 - 900x where x is the number of years since he bought his truck.

In how many years will his truck be worth $4,800?

Answers

Answer:

28 years

Step-by-step explanation:

The difference between 30,000 and 4,800 is 25200. So we divide this number by 900 to find out how many years it will take for the truck to depreciate to this value

The ratio of red marbles to blue marbles in the bag was 3 to 4. If 24 marbles were blue, how many were red?

Answers

Answer:

there would have been 18 red

Step-by-step explanation:

A store pays $423 for a crystal vase and marks the price up by 46%. What is the amount of the mark-up?

Answers

Answer:

194.58$

Step-by-step explanation:

Have a great day! :)

423/100=4,23x46= $194,58 (i think this is the amount of the mark up) + the price of the crystal vase = $617,58. Sorry if this is wrong

A.Vertical
B.Supplementary
C.Complementary
D.None

Answers

i think it’s c cccccccccc

Ted owns 3 surfboards and 2 wet suits. If he takes one surfboard and one wet suit to the beach, how many different combinations can he choose?

Group of answer choices

5

12

6

4 i will give brianllent for a right

Answers

6 cause and in math means multiply so if u multiply 3x2 it equals up to 6 so there you go !

b) Re-write the statement 16 + 5 + 2 - 1 by including one pair of brackets
to make the total value equal to 21.
c) Re-write the statement 16 + 5+2 - 1 + 6 by including two pairs of brackets
to make the total value equal to 3.

Answers

b) 16 + (5 + 2) - 1

I don’t know what C is

2. One third of the cars available for sale in a dealership are used cars. If there are 20 new
cars, how many cars are there in the dealership?

Answers

20 + 1/3 = 120/3

Ans- 40....

Hope this helps you! :)

which of the following is a difference of cubes?
a. 3x^9-64y^3
b. 15x^21-64y^3
c. 27x^15-9y^3
d. x^6+27y^9

Answers

Answer:

D: x^(6) + 27y^(9)

Step-by-step explanation:

A) 3x^(9) - 64y^(3)

The first term is raised to the power of 9 and has a coefficient which cannot also be expressed as a cube while the second term is raised to the power of 3 but has a coefficient that can be expressed as a cube. Thus the entire equation cannot be simplified to cubes as the first term cannot be expressed a cube.

B) 15x^(21) - 64y^(3)

Similar to the reason given in A above, the first term cannot be expressed as a cube.

C) 27x^(15) - 9y^(3)

In this one, the first term can be expressed as a cube while the second one cannot be expressed as a cube because 9 cannot be expressed as a cube.

D) x^(6) + 27y^(9)

This can be expressed as;

(x²)³ - (-3y³)³

This is therefore a difference of cubes

Find -4- 2(1)/(2). Model the expression on the number line by drawing an arrow
I'm giving 30 points for this one

Answers

Answer:

Step-by-step explanation:

It would be the middle of the 6 and 5 because you go -4 plus to to the left and in half would be in the middle of that.

Can anyone please help me with this math equation?

Answers

Answer:

1/5

Step-by-step explanation:

umm what's (3/5)/3

1/5

Ann buys a dress in a sale. The normal price of the dress is £36 and it is reduced by 20%. Work out the sale price of the dress.

Answers

Reduced by 20% means it is on sale for 80% of the original price ( 100% - 20% = 80%)

Multiply the original price by 80%

36 x 0.8 = 28.80

The sale price is £28.80

a football field is drawn to a scale of 1cm represents 5cm if the field is 70m by 50m find the length and breadth on the drawing​

Answers

Answer:

length of the drawing will be 14cm and breadth will be 10cm.

Step-by-step explanation:

if actual 5m represents 1cm in drawing then,

5m = 1cm

1m = 1/5cm

70m = (1/5)×70cm =14cm

likewise,

50m = (1/5)×50cm =10cm

thus, length in drawing is 14cm and breadth in drawing is 10cm.

Answer:

Width is 5 and length  is 14

Step-by-step explanation:

Ok this is simple all we do is divide the length 70 by 5 and the width 50 by 5 to get

14 and 10

L=14

W=5

Find x please help I need the answer before 11:59

Answers

It might be 58 degrees

Answer:

122 degrees

Step-by-step explanation:

180-148=32

90-32=58

180-58=122

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

it even

Step-by-step explanation:

Answer:

even

Step-by-step explanation:

it was correct in the test

Can anyone help me with this math equation??

Answers

Answer:

0.4

Step-by-step explanation:

if u reduce that fraction it would be 4/10 which is 0.4 in decimal form

Someone helpe me I’ll give brainliest I need the answer quick

Answers

Answer:

C and D

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

the runoff is due to gravitational force

i need help lol..

what is a solution to this equation:
y = -1/4x + 8

Answers

Answer:

You cannot solve this

Step-by-step explanation:

you need at least one value given like x=something or y=something so you can plug it in

if you meant solve for x, then x= -4y+32

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