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3 years ago

How do you convert 21.76 into a fraction

Mathematics

1 answer:

Bezzdna [24]3 years ago

4 0

Answer:

21 19/25

Step-by-step explanation:

21 76/100

divide 76 and 100 by 4

21 19/25

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The cost function for q units of a certain item is C(q)equals109 q plus 90. The revenue function for the same item is R(q)equa

Tcecarenko [31]

Answer:

a) $109

b) $P(q) = \frac{45q}{ln(q)} +90$

c) $$11.20$

Step-by-step explanation:

a) The marginal cost, or the cost per additional unit, is given by the derivate of the cost function:

$C(q) = 109q+90\\C(q) = \$109$

b) Profit is given by Revenue minus Cost:

$P(q) = R(q) - C(q)\\P(q) = \frac{45q}{ln(q)} +90$

c) The marginal profit for 8 units, is given by the difference in profit for 9 units and 8 units:

$M = P(9)-P(8)\\M= \frac{45*9}{ln(q)} +90 - (\frac{45*8}{ln(8)}+90 )\\M=\$11.20$

6 0

3 years ago

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

3 years ago

Pls help will give brainliest to the right answer :)

morpeh [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is the answer to <br> 3/2x - 5 = y

77julia77 [94]

Answer:

$x = \frac{2y + 10}{3}$

$y = \frac{3}{2}x -5$

Step-by-step explanation:

Hope this helps!

6 0

3 years ago

Can someone help me please

telo118 [61]

It's a reflection across the x axis, so the y intercept won't change (12)

f (x) = 3x + 12
|
\/
g(x) = -3x + 12

I MAY BE WRONG IM ONLY 80% SURE

8 0

3 years ago