Question 2 (1 point)
A car traveled 63 miles on 3 gallons of gas. What proportion can you set up to determine how many miles, m, the car can travel on 7
gallons of gas?

Answer:

A

Step-by-step explanation:

Price per ticket

Answer:

44/3

Step-by-step explanation:

Let A be the line joining the vertices (0, 1) and (1,2) while B be the equation of the line joining (1, 2) and (4, 1).

The equation of a line joining points [tex](x_1,y_1) \ and\ (x_2,y_2)\ is:\\\\[/tex]

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

The equation of line A joining (0, 1) and (1,2) is:

[tex]y-1=\frac{2-1}{1-0} (x-0)\\\\y-1=x\\\\x=y-1[/tex]

The equation of line D joining (1, 2) and (4,1) is:

[tex]y-2=\frac{1-2}{4-1} (x-1)\\\\y-2=-\frac{1}{3} (x-1)\\\\3y-6=-x+1\\\\x=-3y+7[/tex]

Therefore the change in y is: 1 ≤ y ≤ 2, while change in x is: y-1 ≤ x ≤ -3y + 7. Hence the double integral is:

[tex]\int\limits^2_1\int\limits^{-3y+7}_{y-1} {4y^2} \, dx dy\\\\=4\int\limits^2_1\int\limits^{-3y+7}_{y-1} {y^2} \, dx dy\\\\=4\int\limits^2_1y^2dy[x]^{-3y+7}_{y-1} \\\\=4\int\limits^2_1y^2dy(-3y+7-(y-1))\\\\=4\int\limits^2_1y^2dy(-4y+8)\\\\=4\int\limits^2_1(-4y^3+8y^2)dy\\\\=4[-y^4+\frac{8}{3}y^3 ]^2_1\\\\=4(\frac{11}{3} )\\\\=\frac{44}{3 }[/tex]

To answer this question, we need, first get the equations for the lines that enclosed the surface, and integrate according to the limits obtained from these equations give.

The solution is:

A = 44/3 square units  

Let´s call points:

P ( 0 , 1 )    Q ( 1 , 2 ) and R ( 4 , 1 )

The equation for the line between, P and R is:

y = 1

The equation for the line between, P and Q is:

Slope-intercept equation is  y = m×x + b

The slope   m₁ = ( 2 - 1 ) / ( 1 - 0 )    m₁ = 1

and the line passes over the point  x = 0  y = 1   ; then

1 = 0 +b           b = 1

y = x + 1            ⇒    x = y - 1  

The equation  for the line between Q and R is:

m₂ = ( 1 - 2 ) / ( 4 - 1)    m₂ = - 1/3

y = ( -1/3)× x + b

when x = 1    y = 2

2 = ( - 1/3)×(1) + b

2 + 1/3 = b

b = 7/3

y = - (x/3) + 7/3           ⇒  x = 7 - 3×y

The double  integral becomes:

A = 4×∫∫ y² dx dy          ⇒   A = 4 ×∫₁² y²dy ∫dx  | (y - 1 ) y ( 7 - 3y)

A = 4×∫₁² y²dy  × x |  ( y - 1 ) y ( 7 - 3y)

A = 4 ×∫₁² y²dy  × [ 7 - 3×y - ( y - 1 )]

A = 4 ×∫₁² y²dy  × (8 - 4×y )      ⇒     A = 4 ×∫₁² (8×y² - 4×y³ ) dy

A = 4 × [ (8/3)×y³ - y⁴ | ₁²

A = 4 × [ 64/3 - 16 - (8/3) + 1 ]

A = 4  × ( 56/3 - 15 )

A = 4  × ( 56 - 45 /3)

A = 4 × 11/3

A = 44/3 square units

Related Link :brainly.com/question/9825328

Answer:

(f + g)(x) = 2x³ + 3x² - 5x - 3 ⇒ B

Step-by-step explanation:

Let us solve the question

∵ f(x) = 2x³ + 3x² -7x + 2

∵ g(x) = 2x - 5

→ (f + g)(x) means add f(x) and g(x)

∴ (f + g)(x) = (2x³ + 3x² - 7x + 2) + (2x - 5)

→ Add the like terms

∵ (f + g)(x) = 2x³ + 3x² + (-7x + 2x) + (2 - 5)

∴ (f + g)(x) = 2x³ + 3x³ + (-5x) + (-3)

→ Remember that (+)(-) = (-)

∵ 2x³ + 3x³ + (-5x) + (-3) = 2x³ + 3x² - 5x - 3

∴ (f + g)(x) = 2x³ + 3x² - 5x - 3

Answer: J (y=3x-2)

Step-by-step explanation: In perpendicular equations, opposite reciprocals are required. This means that a slope of 3 is perpendicular to -1/3, thusly J is corret

Answer:

Linear

Step-by-step explanation:

If its linear it fits into the y=mx+b, and this on does so its linear

Answer:

a

Step-by-step explanation:

Answer:

line 3 and 4 I believe

Step-by-step explanation:

Look at the bootom numbers. Look at the one and follow it up, the only lines that are not over two and are still above one are lines 3 and 4.

Answer:

Lines 3 and 4

Step-by-step explanation:

A slope is rise over run. So you have to determine how many you rise (go up) and run (go over). This is represented in a fraction form (such as 1/2 is up 1 and over 2). A slope greater than one would be 1/1 (go up more than one and over more than 1), and less than two (go up less than 2 and over less than 1).

Line 1 goes up 3 and over 1 (3/1 = a slope of 3)

Line 2 goes up 2 and over 1 (2/1= a slope of 2)

Line 3 goes up 3 and over 2 (3/2 = a slope of 1.5 )

Line 4 goes up slightly more than 1 and slight over 1

Line 5 goes up 1 and over 1 (1/1 = a slope of 1)

Answer:

A.  ap3x quiz!

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

x %* 16 = 50% * 48

[tex]\frac{x}{100} = \frac{0.5 *48}{16} = \frac{24}{16} = \frac{6}{4} = \frac{3}{2} \\x = \frac{300}{2} = 150\\[/tex]

I guessed 50% is typed wrongly twice so I solved once with 50%

75% of 16 is equal to 50% of 50% of 48.

Percentage of 16 equivalent to 50% of 50% of 48 to be evaluate.

Percentage is the matter of composition per unit whole composition.

Let x% of 16 = 50% of 50% of 48
x/100 *16 = 1/2*1/2*48
x/100*16 = 12
x = 12/16 * 100
x = 75%

Thus, 75% of 16 is equal to 50% of 50% of 48.

Learn more about percentage here:

brainly.com/question/13450942

#SPJ2

Answer:

You need to sell 6 gloves

Step-by-step explanation:

If you sell 5 gloves you will get 25$ because 5x5 is 25. So you need to sell 6 gloves in order to make a profit.

Answer: They'll have the same amount of money in 9 months. They'll have $190

Step-by-step explanation:

Make a chart showing each month, with how much they have. Every time you add a month, subtract 45 to Sonya's amount of add 15 to Cameron's amount. Eventually, you'll get that they will both have $190 in 9 months. Hope this helped!

Answer:

Yard, foot, inch

Answer:

metres

Step-by-step explanation:

length is distance from one point to another an according to the standard units which are the same all along the world the length should be measured in metres

Answer:

=−3125x^10y^25

Step-by-step explanation:

Answer c

Step-by-step explanation: i took the test and got them all right

Answer:

46

Step-by-step explanation:

46 I believe. I think it's 46. Don't count the units on the corners

Answer:

Its 9^-9

Step-by-step explanation

Because 9^-3 is on top, you have to take it to the bottom - this makes it positive. Now you have 1/(9^3*9^6). This give you 1/9^9 - or in other words 9^-9

Answer:

1,333/100

Step-by-step explanation:

The reason is because a fraction can be divided. A fraction is out of a hundred. 13 by itself is equal to 1300/1000 by itself.

Answer:

repair charge = 53 * hours of labor + 408.97

Step-by-step explanation:

I got this right on TTM/ Imagine Math :)

Answer:

10 months

Step-by-step explanation:

Answer:

the diagonal of the rectangle is 5

Step-by-step explanation:

[tex]c=\sqrt{a^{2} +b^{2} }[/tex]

[tex]c=\sqrt{3^{2} +4^{2} }[/tex]

[tex]c=\sqrt{9+16}[/tex]

[tex]c=\sqrt{25}[/tex]

[tex]c=5[/tex]

Answer:

∆STR~∆RTQ is correct I am pretty sure

Answer:

Option four

Str ~ rtq

Step-by-step explanation:

Answer:

n=4

Step-by-step explanation:

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[tex]4(n - 3) + 2n = 12[/tex]

[tex]4n - 12 + 2n = 12[/tex]

[tex]6n - 12 = 12[/tex]

Add sides 12

[tex]6n - 12 + 12 = 12 + 12[/tex]

[tex]6n = 24[/tex]

Divide sides by 6

[tex] \frac{6}{6} n = \frac{24}{6} \\ [/tex]

[tex]n = 4[/tex]

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Answer:

27 calories per ounce

Step-by-step explanation:

just divide 135 by 5

Answer:

3x^2-8x+9

Step-by-step explanation:

11x2+9−2x−8x2−6x

Subtract 8x2 from 11x2.

3x2+9−2x−6x

Subtract 6x from −2x.

3x2+9−8x

Move 9.

3x^2−8x+9

Hope this helps! :) Plz mark as brainliest

11x2+9−2x−8x2−6x

Subtract 8x2 from 11x2.

3x2+9−2x−6x

Subtract 6x from −2x.

3x2+9−8x

Move 9.

3x^2−8x+9

Answer:

x=-15/4 or -3.75

Step-by-step explanation:

17=−13−8x

30=-8x

x=30/-8 --> -15/4 or -3.75

Answer:

0.5

Step-by-step explanation:

It's simple really,

What you do is first add -13 from 17 and you get 4

17+-13=4

then you divide by 8 and you get 0.5.

4(divided by)8=0.5

Hope that helps you!

(If that's not the answer then do -0.5)