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Vanyuwa [196]
3 years ago
8

An empty 6-gal water jug weighs 0.5 lb. With 3 c of water inside, the jug weighs 2 lb. Which equation models the jug’s weight y

when it contains x cups of water?
Mathematics
1 answer:
nikdorinn [45]3 years ago
3 0
The slope would be 2/3 because that would leave pounds when multiplied by cups.

add 0.5 for the weight of the water jug

y = (2/3)x + 0.5
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the reciprocal is 2/1

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Step-by-step explanation:

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Which method would be more efiicient to solve the system y=1/2x and 2x+3y=28
Licemer1 [7]
Probably the subsitution method


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6 0
3 years ago
200 to 170 what is the percentage discount offered
wel

Answer:

85%

Step-by-step explanation:

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6 0
3 years ago
Please help me! What is x and y? Thank you!
Ivahew [28]

Answer:

x=3. y=6

Step-by-step explanation:

So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.

So to find what x equals, we can take the 13, and make it equal to the 4x+1:

13=4x+1

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12=4x

Divide both sides by 4:

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Or

<u>x=3</u>

So we know the x value is 3.

Now lets solve for y using the bottom equations:

2x+y=8x-2y

Subtract 1y from both sides:

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Subtract 8x from both sides:

-6x=-3y

Divide both sides by -6:

x=1/2y

So we already know that x=3, lets plug that in for x, and solve for y:

3=1/2y

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<u>y=6</u>

So we know that y is equal to 6.

Hope this helps!

7 0
3 years ago
If C ( x ) = 11000 + 500 x − 3.6 x 2 + 0.004 x 3 is the cost function and p ( x ) = 1700 − 9 x is the demand function, find the
Bess [88]

Answer:

Step-by-step explanation:

The cost function = C(x)

The demand function = P(x)

C(x) = 11000 + 500x - 3.6x^2 + + 0.004x^3

P(x) = 1700 - 9x

Differentiate C(x) with respect to x

C'(x) = 500 - 7.2x + 0.012x^2

C'(x) is the marginal cost

Revenue = x. P(x)

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= 1700x - 9x^2

Differentiate R(x) with respect to x

R'(x) = 1700 - 18x

R'(x) is the marginal revenue

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Collect like terms

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0 = 0.012x^2 + 10.8x - 1200

Using x=( -b +_ √b^2 - 4ac) /2a

a = 0.012 , b= 10.8 , c= -1200

x= (-10.8 +_ √(10.8^2) - 4*0.012*(-1200)) /2*0.012

= ( -10.8 +_√116.64 + 57.6) / 0.024

= (-10.8 +_ √174.24) / 0.024

= (-10.8 +_13.2) / 0.024

= (-10.8+13.2)/0.024 or (-10.8 - 13.2)/0.024

= 2.4/0.024 or -24/0.024

x= 100 or -1000

Since our profit cannot be negative, the profit = $100

5 0
3 years ago
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