The fuel capacity of a popular hybrid car is 11.9 gallons. The function for this situation is f(x) = -0.02x + 11.9, where x represents miles and f(x) represents the amount of fuel remaining. What is the rate of change for this scenario?​

Answers

Answer 1

Answer:

-0.02 gallons per mile

Step-by-step explanation:

You're in luck. The fuel consumption of the car is linear, and the slope - ie, the coefficent of the x term gives you the rate of change. In this case, it's -0.02 gallons per mile.


Related Questions

William bought 6 shirts for $119.70. How much did one shirt cost him?

Answers

Answer:

19.95

Step-by-step explanation:

i just divvied 119.70 by 19.95

X-5/-2=x-1/-3 help pls

Answers

Answer:

0=-13/6

Step-by-step explanation:

Answer:

x= -15/8

0r

x= -1.875

or

x= -1 7/8

they are all correct

Step-by-step explanation

h(x)=2x+5 for h(x+3)
solve for h(x+3)
pls help aaaaaaaaaaaa i

Answers

Answer:

According to transitive Property of equality :  If a =b and b = c then a = c

In this problem you are given with 2 equations:  

                                h(x) = - 2x + 5  ---- 1

                                h(x) = 3           ------ 2

Apply transitive Property of equality to equation 1 and 2

      - 2x + 5       =  3                     Now solve for x.  

      -2x  + 5 - 5   =  3 – 5           subtract 5 on both sides.

                   -2x  = -2                              

   (-2x)/(-2) = (-2) / (-2)        Divide with -2 on both sides.

              X = 1

Step-by-step explanation: I hope this helps.

His grandmother is sick, so Hassan is making a pot of bean soup to bring for dinner. The recipe calls for equal amounts of 3 kinds of beans: kidney, pinto, and black. In all, Hassan uses 2 1/4 cups of beans in the soup.

Use an equation to find the amount of each kind of bean Hassan uses in the soup.

Answers

Answer:

0.75 cup

Step-by-step explanation:

K + p + b = 2 1/4

K = p = b

Sence all beans are equal we can divide 2 1/4 by 3

2 1/4 / 3 = 3/4

Is this a function? Easy points

Answers

Wanna learn how to make Mac and cheese
For thanks giving

Boil the pasta, drain.
Make the cheese sauce by combining a fat (butter), and starch (flour), then whisking in the milk products.
Cook the sauce until it’s nice and thick.
Add in shredded cheeses, stir well.
Combine cheese sauce with cooked pasta.
Transfer half of the mac and cheese to a baking dish, sprinkle with more shredded cheese.
Top with the rest of the mac and cheese, top with more shredded cheese.
Bake and prepare to thoroughly enjoy

Please help 10 points for one question
Please don’t answer if you don’t know

Answers

Answer:

Yes.

Step-by-step explanation:

They are similar by the AA (Angle-Angle) Similarity Theorem.

Angle P is congruent to Angle P,

and another angle congruency is <Q and <S OR <R and <T by the

Corresponding

Angle Congruency Theorem.

With two pairs of congruent angles, we can say that Triangle PQR and Triangle PST are similar by the AA Similarity Theorem.

11111111111111+646463476346546

Answers

Answer:

6.5757459e+14

Step-by-step explanation:

is your answer

Answer:

6.5757459e+14

Step-by-step explanation:

6.5757459e+14

find the value of x that makes this true. M<2= -9 + 7x
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

the triangle is an Isosceles triangle

let the another two angles be 2x

and apply angle sum property of triangle here

2x + 72° = 180

2x = 180 - 72

2x = 108

x = 108/2 = 54

therefore,

angle 2 = 54°

a/q

angle 2 = -9 + 7x

now,

54° = -9 + 7x

or

-9 + 7x = 54°

7x = 54 + 9 = 63°

x = 63/7 = 9

x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

Simplify the expression 5 (x - 7) + 4x=

Answers

The answer is 9x-35 hope this helps

Which product is greater than 63?

7/8 x63
3/2 x 63
4/5 x 63
2/3 x 63

Answers

Answer:

The answer is 3/2 x 63

Step-by-step explanation:

3/2*63 = 189 / 2 = 94.5

7/8*63 = 441 / 8 = 55.125

2/3*63 = 126 / 3 = 42

4/5*63 = 252 / 5 = 50.4

Therefore the answer is 3/2 x 63 because it’s product is greater than 63.

Figure A
Figure B
Which of the triangles in the two figures above is a right triangle? Explain your choice using
the Pythagorean Theorem to prove it. Note: the figures are not drawn to seale.

Answers

Answer:

Figure B

Step-by-step explanation:

The Pythagorean Theorem is [tex]a^2 + b^2 = c^2[/tex], where c is the longest side of the triangle (the hypotenuse).

To find the side length of each square, you have to square root the area of each square. This means that Figure A has side lengths of 3, 6 and 8 units. Figure B has side lengths of 5, 12 and 13 units.

In Figure A, if the triangle is right-angled, the equation [tex]3^2 + 6^2 = 8^2[/tex] must be correct. 9 + 36 = 45. 45 is not equal to 64, so the triangle is not right-angled.

In Figure B,  if the triangle is right-angled, the equation [tex]5^2 + 12 ^2 = 13^2[/tex] must be correct. 25 + 144 = 169. 169 is 13 squared, so the triangle is right-angled.

Alternatively, as you are already given the square values for each side length, there is no need to square root and square again. You can just test if the two smaller areas equal the larger area, but the explanation above uses a more detailed example of the Pythagorean Theorem.

A wire is bent to form a square of side 22 cm. If the wire is re bent to form a circle, its radius is with steps

Answers

Step-by-step explanation:

the circumference of a circle is

C = 2×pi×r

with r being the radius.

the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is

4×22 = 88 cm.

now, it is the same wire of the same length that is now forming a circle.

so, the circumference of the square is also the circumference of the circle.

therefore,

88 = 2×pi×r

44 = pi×r

r = 44/pi = 14.00563499... cm

so, rounded, radius = 14 cm.

Answer:

The other answer is correct

Step-by-step explanation:

The circumference of the circle and the square will be the same so you solve the equation

4*22 = 2 pi r   where r is the radius.

Multiply the binomials:

(3x + 4)(5x − 2)

Answers

Answer:

15x^2 + 14x - 8

Step-by-step explanation:

Evaluate. 12⋅(1/4+1/3)2+2/3 enter your answer as a mixed number

Answers

Answer:

14 2/3

Step-by-step explanation:

i took the test

The algebraic expression that represents twice the sum of some number and 3 is?


n + 2(3)


2(n + 3)


2 + n + 3


2n + 3

Answers

Answer:

2(n+3)

Step-by-step explanation:

The sum to 3 = n+3

That sum doubled (~twice) = 2(n+3)

Answer:

2(n+3)

Step-by-step explanation:

Let's look at the statement:

'twice the sum of some number and 3'

Twice means 2 multiplied by something.

What is that something? It is the sum of some number and 3.

Let's replace the some number with variable n.

So it becomes the sum of n and 3, which translates to n+3.

So you put the two parts together:

2 multiplied by (n+3), rewritten as 2(n+3).

Find 6.3×10−59×10−3
6
.
3
×
10
-
5
9
×
10
-
3
in scientific notation.

Answers

Answer:

-5.3 x 10^2

Step-by-step explanation:

I believe that is the answer

What is the equation of this line in slope-intercept form?
A: y = 4x + 1

B: y=−4x+1

C: y=4x−1

D: y=−14x+1

Answers

Answer: B

Step-by-step explanation:

The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.

We can first eliminate C, because the y-intercept of the graph is 1.

To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).

Slope = (y2 - y1) / (x2 - x1)  

           = (-3 - 5) / (1 - (-1))

          = (-3 - 5) / (1 + 1)

          = -8/2

          = -4

Plug in the slope and y-intercept, we get y = -4x + 1

       

A factory produces pop-its at a constant rate. After 4 hours, 3,120 pop-its have been produced. What is the unit rate? (must show work)​

Answers

Answer:

780

Step-by-step explanation:

divide 4 from 3120 to find how many pop-its are made per hour/ unit rate

Are the ratios 1:2 and 14:26 equivalent

Answers

no they are not equivalent

1:2 and 14:26 are not equivalent!

What are vented rotors? When are they used?

Answers

Answer:Vented Brake Rotors are common on most modern vehicles. They have a hollow channel between the inner and outer surfaces. This channel (or vent) allows the rotor to shed more heat. This helps to prevent Brake Fade

Step-by-step explanation:

X According to a survey, 60 sixth grade students at Madison Middle School attended a summer camp. This is 30% of the entire sixth grade. How many students are in the sixth grade?

Answers

Answer: total is 200

Step-by-step explanation:

30% = 60

10% = 60/3 = 20

100% = 200

Solve the equation. -4 (m + 3) = 24

Answers

Answer:

Answer is( - 9)

Step-by-step explanation:

Hope it helps

Hello there!

-4(m+3)=24

Use the Distributive Property:

-4(m+3)=24

-4m-12=24

-4m=24+12

-4m=36

m=-9

Hope it helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Finite geometric series:

Hi, I want to ask a question, is about... for example, take the sequence 1,2,4,8,... Notice that each number is twice the value of the previous number. So, a number in the sequence can be represented by the function f(n) = 2^n-1. One way to write the sum of the sequence through the 5th number in the sequence is E^5 n-1^2n-1. This equation can also be written as S5 = 2^0 + 2^1+2^2+2^3+2^4. If we multiply this equation by 2, the equation becomes 2(S5) = 2^1+2^2+2^3+2^4+2^5.

What happens if I subtract the two equations and solve for S5? Can I use this information to come up with a way to find any geometric series Sn in the form E^a n-1^bn-1?

Answers

Answer:

You can, however i’m warning you it will definetly be difficult

Step-by-step explanation:

round 73.03 to the 1 decimal place

Answers

Answer:

The answer is 73.0 or just 73

Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form. A comparison of these two fractions is:

Answers

Answer:

3/25

More right handed

3/25 ≤ 22/25

Step-by-step explanation:

There are more right handed people because 88% of them are right handed.

12/100 = 3/25

can someone help me on this one plss i REALLY need this for school

Answers

Answer:

0.9 + n = 5.2

Step-by-step explanation:

Think about it, 0.9 increased by a number is 5.2

In other words, increasing 0.9 by a number will equal 5.2

So, increasing = adding, right?

Adding 0.9 to a number will equal 5.2

0.9 + n (a number) = 5.2

C increased equals +

For a Brainly please help me out

Answers

Answer:

y = –(1/2)x + 7

Step-by-step explanation:

Slope intercept form is y = mx + b

m is the slope

When the slope is the same the lines are parallel

here the slope is –1/2

therefor

y = –(1/2)x + 7 is parallel

Add (8y - 2x) + (-4y - 3x)

A. 4y - 5x
B. -4y - x
C. -4y - 5x
D. -32y + 6x

Answers

Answer:

its none of these its -6x + 4y

Step-by-step explanation:

Answer:

A. 4y - 5x

Step-by-step explanation:

8y - 4y = 4y

-2x -3x = -5x

I hope this helps!

Get it right and you get the brainliest. Copy the lines and draw on them to complete the assignment.

Answers

Answer:

Step-by-step explanation:

Which of the following lines has a negative slope?
Is it Red
Is it Black
Is it Blue

Answers

Answer:

black line <3

Step-by-step explanation:

the slope is -2 :)

A negative slop occurs when the rate of change is negative. Looking at the options we have, we can pick a point from each line. The Red line will display a positive slop, the Blue line will display a positive slope, but the Black line will display a negative slope. Therefore, the Black like has a negative slope.

I hope this helps! :)

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