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3 years ago

Let f be a function. Use each statement to find the coordinates of a point on the graph of f. f (5) = 9

Mathematics

2 answers:

omeli [17]3 years ago

7 0

Answer:

400

Step-by-step explanation:

dmitriy555 [2]3 years ago

7 0

Answer:

5, 9

Step-by-step explanation:

I did it on Big Ideas Math. Plus, I looked it up on Slader.

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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

2 years ago

What is the slope of the line represented by the equation y = 5 x – 3?

kozerog [31]

Answer:

the slope is 5

Step-by-step explanation:

y = 5 x – 3

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is 5 and the y intercept is -3

6 0

2 years ago

Read 2 more answers

You go to a local mechanic to get your tires changed. The tires cost $300. There is a 6% sales tax, but you get a 10% discount.

Romashka-Z-Leto [24]

Answer:

a) $T(x)=300x+18x=318x$

b) $D(x)=318x-(0.1)(318)+10x\\=296.2x$

c) Yes.

Step-by-step explanation:

We have that:

$Tires=$300\\Tax=0.006\\Discount=0.1\\$

And we have $10 free of taxes.

Making x= number of tires to buy, then we have that the total cost of tires is:

$Total_{Tires}=300x$

So, what we pay for taxes is given by:

$Taxes=(300x)(0.06)=18x$

a) Then, according to the above, we can write down the total cost before the discount as:

$T(x)=300x+18x=318x$

b) And the total cost after discounts, is then given by:

$D(x)=318x-(0.1)(318)+10x\\=296.2x$

c) If the discount is added first, then less tax will be paid because the amount on which it is paid is lower. If the discount is added later, then the taxes will have been taxed on a higher amount, so it does matter whether they are added first or later.

6 0

3 years ago

Back contains five Green marbles three blue marbles and to red marbles what is the probability of picking a blue

Papessa [141]

Answer:

The probability of picking a blue is 3/11.

Step-by-step explanation:

4 0

3 years ago

An equivalent expression for 4(x+2)+5(y+3)

Anit [1.1K]

Answer:

4x+5y+23

Step-by-step explanation:

4(x+2)+5(y+3)

4x+8+5y+15

4x+5y+8+15

4x+5y+23

7 0

3 years ago