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DanielleElmas [232]
3 years ago
12

A new compact car can travel 288 miles is a nine gallons of gas. The distance driven in miles y varies directly with the number

of gallons of gas x. This situation can be represented by the equation y = 32x
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
8 0

Answer:

32 miles per gallon

Step-by-step explanation:

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Use substitution to solve the system of equations. y=x +1.74 4x-2y =4
34kurt

Answer:

y = 3.75+1.74= 5.49=5.5 =5.5

4(3.75) - 2(5.5) =15 - 11 =4

Step-by-step explanation:

                                           

y = x+ 1.74 →  -x + y = 1.74  

(1/2)(4x - 2y = 4) → 2x - y = 2

Add two eq → x=3.74 and y=5.5

The problem says that u need replace but with the process before you can get the result easily.

y = 3.75+1.74= 5.49=5.5 ≠ 0

4(3.75) - 2(0) =15 ≠ 4

y = 4+1.74= 5.74=6 ≠ 4

4(4) - 2(4) =8 ≠ 4

y = 3.75+1.74= 5.49=5.5 =5.5

4(3.75) - 2(5.5) =15 - 11 =4

y = 5.5+1.74= 7.24 ≠ 0

4(5.5) - 2(4) =14 ≠ 4

6 0
3 years ago
A cone is 10cm high and has a base radius of 8cm.
slavikrds [6]

The maximum volume of the cylinder in exact form is; V_max = 2560π/27

<h3>How to maximize the volume of a cylinder?</h3>

Let us define the variables as:

Radius of cone = r

Radius of cylinder = x

Height of Cone = h

Height of Cylinder = y

The general equation for volume of the cylinder is;

V = πx²y  

Taking a strip of both figures and relating x, y, r & h as well as using ratios of similar triangles, we have:

Height of triangle above cylinder/Base of Triangle above cylinder   =   Height of full triangle/Base of full triangle

This gives;

(h - y)/2x  = h/2r

Making y the subject gives us;

h – y = hx/r

y =  h – hx/r

y = h(1 – x/r)

Plug in y into our Volume equation:

V(x) = πx²h(1 – x/r)

V(x) = πh(x²  - x³/r)

To get maximum volume, find the derivative of the volume and solve for when the derivative equals zero:

V'(x) = πh(2x  - 3x²/r)

V'(x) = 0

Thus;

(2x  - 3x²/r) = 0

x( 2r – 3x) = 0

Thus;

x = 0 or x = 2r/3

Put x = 2r/3 in our volume equation to find V_max

V_max  = πh((2r/3)² – (2r/3)³/r)

V_max = πh(4r²/9 - 8r²/27)

V_max = πh(12r²/27 - 8r²/27)

V_max = 4πhr²/27

Thus, at r = 8 and h = 10, we have;

V_max = 4π(10)8²/27

V_max = 2560π/27

Read more about Maximizing Volume of Cylinder at; brainly.com/question/10373132

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3 0
2 years ago
What integer describes a profit of $650?
Eduardwww [97]

Answer:

+$650 because there is no loss of money

Step-by-step explanation:

4 0
3 years ago
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Can I factor this polynomial?<br><br> 9pr^2+73pr+70r
egoroff_w [7]
R(9p^2+73p+70)
r(9p+10)(p+7)
8 0
2 years ago
Plz help plzzzzzz God bless u if u do
Pachacha [2.7K]

Answer:

x=-3

Step-by-step explanation:

6 0
3 years ago
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