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3 years ago

What is -(3/7) x (-1/6)?

Mathematics

1 answer:

krok68 [10]3 years ago

3 0

The answer is 1/14. -3/7 x -1/6. 3 crosses 6 2 time so you are left with -1/7 x -1/2 that is 1/14

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For the curve xy(x+y)=84, find dy/dx at (3,4)

Oksana_A [137]

Implicit differentiation, yeah

hmm, never seen derivitive of 3 of them before

let's distribute

x²y+xy²=84
implicit differntiation

remember, dy/dx f(x)g(x)=f'(x)g(x)+f(x)g'(x)
and dy/dx y=dy/dx

so
2xy+x² dy/dx+y²+2xy dy/dx=0
solving for dy/dx
minus (2xy+y²) from both sides
x² dy/dx +2xy dy/dx=-2xy-y²
undistribute dy/dx
dy/dx(x²+2xy)=-2xy-y²
divide both sides by (x²+2xy)
$\frac{dy}{dx}=\frac{-2xy-y^2}{x^2+2xy}$

at (3,4)
evalaute for x=3 and y=4

$\frac{dy}{dx}=\frac{-2xy-y^2}{x^2+2xy}$
$\frac{dy}{dx}=\frac{-2(3)(4)-(4)^2}{(3)^2+2(3)(4)}$
$\frac{dy}{dx}=\frac{-24-16}{9+24}$
$\frac{dy}{dx}=\frac{-40}{33}$

4 0

3 years ago

21 22 23 24 25 Which equation represents an exponential function with an initial value of 500? Of(x) = 1

Dafna11 [192]

Answer:

Of(x) =100(5) I think cause its gonna equal 500

6 0

3 years ago

Compare 9 x 104 and 5 x 103.

MrRissso [65]

b.9 x 10^4 is 18 times larger than 5 x 10^3
This is a simple matter of floating point division. So let's do that. 9 x 10^4 / 5 x 10^3 First, divide the significands. Giving 9 / 5 = 1.8 And subtract the exponents 4 - 3 = 1 So the result of the division is 1.8 x 10^1 which is 18. So 9x10^4 is 18 times larger than 5x10^3. Now looking at the available options, it's obvious that only "b" is correct.

7 0

3 years ago

Read 2 more answers

Dylan and his friend Lamar volunteered to bring sandwiches for lunch at a homeless shelter. They bought 8 loaves of bread. Each

Brums [2.3K]

Answer:

64 slices

Step-by-step explanation:

The first step to solving this is to find out how many slices of bread there were in total. We know that each loaf of bread had 16 slices, and we know that there were 8 loaves. To get the amount of slices, we multiply the amount of slices in each loaf by the number of loaves there are.

16⋅8=128 slices of bread in total

Now that we know the total number of slices, we need to find how many sandwiches they made. If they used two slices per sandwich, we would divided the total number of bread slices by two.

128÷2=64.

7 0

3 years ago

A shopkeeper makes a profit of 15% by selling a book for $230. What is the cost price and the actual profit?

lys-0071 [83]

Answer:

Cost price = 200

Profit = 230-200 = 30

Step-by-step explanation:

x + 15/100x = 230

x + 3/20x = 230

20x + 3x = 4600

23x = 4600

x = 200

7 0

3 years ago