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3 years ago

I'm in a test please help

1 answer:

8 0

Select ALL the correct answers. A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. -12 + 3001 20,000 At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss? $50

answer 250

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Devon wants to build a ramp with the dimensions shown. How much wood does he need?

Nadya [2.5K]

Answer:

680

Step-by-step explanation:

3 0

4 years ago

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Tom's brother saw an advertisement for a special at Muscle Fitness. Muscle Fitness is offering $20 off the one-time regular regi

yawa3891 [41]

Your expression is 60+20x
I cant tell you if that is better than Platinum Gym or not because there is no detail as to what their deal is.

8 0

3 years ago

Solve: (3x^2-y)dx + (4y^3-x)dy =0 and find the solution passing through (1,1).

nordsb [41]

Step-by-step explanation:

The given equation is

$(3x^{2}-y)dx+(4y^{3}-x)dy=0\\M(x,y)dx+N(x,y)dy=0$

As a check for exactness we have

$\frac{\partial N}{\partial x}=\frac{\partial M}{\partial y}\\\\\therefore \frac{\partial N}{\partial x}=\frac{\partial (4y^{3}-x)}{\partial x} =-1\\\\\frac{\partial M}{\partial y}=\frac{\partial (3x^{3}-y)}{\partial y} =-1\\\\\therefore \frac{\partial N}{\partial x}=\frac{\partial M}{\partial y}=-1$

Hence the given equation is an exact differential equation and thus the solution is given by

thus the solution is given by

$u(x,y)=\int M(x,y)\partial x+\phi (y)\\\\u(x,y)=\int (3x^{2}-y)\partial x+\phi (y,c)\\\\u(x,y)=x^{3}-xy+\phi (y,c)\\\\$

Similarly we have

$u(x,y)=\int N(x,y)\partial y+\phi (x,c)\\\\u(x,y)=\int (4y^{3}-x)\partial y+\phi (x,c)\\\\u(x,y)=y^{4}-xy+\phi (x,c)\\\\$

Comparing both the solutions we infer

$\phi (x,c)=x^{3}+c$

Hence the solution becomes

$u(x,y)=x^{3}+y^{4}-xy=c$

given boundary condition is that it passes through (1,1) hence

$1^{3}+1^{4}-1=c\\\\\therefore c=1$

thus solution is

$u(x,y)=x^{3}+y^{4}-xy=1$

4 0

3 years ago

Please help me, I have a test tomorrow! Attachment bellow:

katrin2010 [14]

Answer:

1. A 2. B

Step-by-step explanation:

Whatever happens to x must also happen to y.

For the first question, x is doubled, which means that the value of y is also doubled.

For the second question, if the value of x triples, then the value of y triples as well, which means that it would be multiplied by 3.

We can check to see if these two answers are true by inputting values into the equations.

For the first equation, let's use the example x = 2

y = 5(2)

y = 10

If the value if x doubled, it would become x = 4

y = 5(4)

y = 20

As you can see, when the value of x doubled from 2 to 4, the value of y also doubled from 10 to 20.

You can do something similar for the other equation.

8 0

3 years ago

According to a survey conducted by the Texas Free Press, 125 out of 500 people do not have internet access at their homes. What

GaryK [48]

75%
500-125 is 375
375/500 gives 3/4 which is .75
move the decimal over to the right twice to get 75%

5 0

3 years ago

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