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Nimfa-mama [501]

2 years ago

7

the function M(x) -1/45x^2+2x-20 where 30 65 represents the miles per gallon used by a certain brand of car at a speed of x mile

s per gallon.

1 answer:

JulsSmile [24]2 years ago

3 0

The answer would be option B

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PLEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEASE

mario62 [17]

(15, -8) :)
From C to midpoint you do (+10, -7), so you have to do that again to get to D

4 0

3 years ago

The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. F

katen-ka-za [31]

Answer:

SA:48 V:144

Step-by-step explanation:

4 0

2 years ago

Any1 know the answers for this?

Bezzdna [24]

X=4 because you combine 2+4 and subtract -6 then divide

7 0

2 years ago

Please can someone explain how to work out this

wariber [46]

Answer:

T = 4B + 10C

Step-by-step explanation:

Since there are 4 doughnuts in a bag then there are 4B doughnuts in B bags

Since there are 10 doughnuts in a carton then there are 10C doughnuts in C cartons, thus summing the two quantities gives

T = 4B + 10C

6 0

3 years ago

Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

so

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

2 years ago