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Alik [6]
2 years ago
10

The graph above shows the distance that a truck travels as a function of the total number of liters of fuel used. The first 6 li

ters of fuel were used for city driving, while the next 10 liters were used for highway driving. Based on the graph, how does the average miles per liter for city driving compare to the average miles per liter for highway driving?​

Mathematics
1 answer:
4vir4ik [10]2 years ago
6 0

Answer:

The city and highway average are about the same

Step-by-step explanation:

The m/slope of this graph tells us the relation between fuel used and miles traveled.

So, by looking at the slope, we can tell the average miles per liter for driving.

Because the slope of this graph stays fairly consistent (the slope stays the same throughout the entire graph, and there is no sudden change in the miles per liter ratio), we know that the fuel usage does not change.

So, we don't even have to calculate the slope for each separate section, we know that the usage is about the same (from simply looking at the graph).

(Also, if you specifically wanted to calculate slope to confirm, like I just did, you could do this too. Without even having to calculate the slope itself, you can find one point in each section to judge. The points I used were (2, 10) [10m traveled with 2 liters, meaning 5m traveled with 1 liter] and (10, 50) [50m traveled with 10 liters, 5m traveled with 1 liter])

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2x + y = 9<br> x = y - 3
lawyer [7]

Answer:

x=2 and y=5

Step-by-step explanation:

Steps:

I will solve your system by substitution.

x=y−3;2x+y=9

Step: Solve x = y − 3 for x:

Step: Substitute y − 3 for x in 2x + y = 9:

2x+y=9

2(y−3)+y=9

3y−6=9(Simplify both sides of the equation)

3y−6+6=9+6(Add 6 to both sides)

3y=15

3y/3=15/3  (Divide both sides by 3)

y=5

Step: Substitute 5 for y in x = y − 3 :

x=y−3

x=5−3

x=2(Simplify both sides of the equation)

Answer:

x=2 and y=5

3 0
2 years ago
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Factors of x2 – 3x + 2 are<br>hy​
gogolik [260]

Given x ^2 −3x+2=0

x ^2 −2x−1x+2=0

(Resolving the expression)

x(x−2)−1(x−2)=0 (Taking common factors)

(x−2)(x−1)=0 (Taking common factors)

∴x−2=0 or x−1=0 (Equating each factor to zero)

∴x=2 or x=1

∴2 and 1 are the roots of x ^2 −3x+2=0

<h2><u>Hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>you</u><u>✨</u><u>.</u></h2>

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6 0
2 years ago
Help please!!! I really don’t know how to do this!
AysviL [449]

Answer:

I'm going to do 1 as an example and using what I've taught you, you have to do the rest. Hope my explanation helps.

Step-by-step explanation:

We are given the points (-2, -4) and (-1, -1)

We need to find the slope.

The equation to do so is y2 - y1 / x2 - x1

lest say:

-2 is x1

-4 is y1

-1 is x2

-1 is y2

-1 - (-4) / -1 - (-2)

3/1 = 3

slope (m) = 3

We already know the y-intercept is 2

The equation of a line is y = mx + b

For this problem we just have to substitute what we already know.

y = (slope)x + y-intercept

y = 3x + 2

*TIP*

If the y-intercept is negative, let's say: b = -5  (using slope 8)

the equation will be y = 8x - 5

Hope this helps. I wish you all the best. :)

5 0
2 years ago
Enter numbers into the table so that the paired values are in a proportional relationship. In each slot, which numbers would go
goldenfox [79]

Answer:

i think y is 1 x = 12

Step-by-step explanation:


6 0
2 years ago
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To the nearest tenth, what is the area of the figure shown in the image? Segment BF is a line of symmetry of the pentagon ABCDE.
Sidana [21]

Answer:

C, 39.3 in²

Step-by-step explanation:

Lets first find the area of the rectangle part of the house.

To find the area of a rectangle its base × height.

So its 6×4=24 in².

Now lets find the area of the top triangle.

Area for a triangle is (base × height)/2.

The height is 3 inches, because its 7-4. While the base is 6 inches.

(6×3)/2=9 in².

To find the area of the half circle the formula, (piR²)/2.

The radius of the circle is 2 because its half of the diamter which is 4.

(pi2²)/2=6.283 in².

Now we just need to add up the area of every part,

24+9+6.283=39.283in²

5 0
3 years ago
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