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4 years ago

What is the solution for 9 > x - 7?

Mathematics

1 answer:

vodka [1.7K]4 years ago

6 0

Answer:

Step-by-step explanation:

9 > x - 7

+7 +7

16 > x

The answer is C.

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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

3 years ago

The amount of a person’s paycheck p varies directly with the number of hours worked t. For 22 hours of work, the paycheck is $12

kozerog [31]

Your answer is D. Hope this helps

5 0

3 years ago

Read 2 more answers

Solve for x. Show the equation you used and your work.

nasty-shy [4]

Here, You need to apply "Proportionality Theorem"
According to this theorem, the ratio of components of a leg would be equal to the ratio of corresponding components of another leg.

In mathematical form,
AB/BD = AC/CD

Substitute their values,
36/24 = x/18
2/3 = x/18
x = 18*3 / 2
x = 54 / 2
x = 27

In short, Your Answer would be 27

Hope this helps!

5 0

4 years ago

When 40% of a number is added to the number the result is 210

MAVERICK [17]

So it gives you the "= 210" part of it so you just need to figure out how to write "40% of a number is added to the number"

the questions already tells you that "the number" is "x"

so that means "40% of x is added to x"
instead of writing "add" you can replace it with a plus sign "+"
(40% of x) + x
another way to write 40% of x is 0.40x
so your equation is .4x + x = 210

5 0

4 years ago

What is 3 percent as a fraction in simplest form?

Karo-lina-s [1.5K]

3/100, is what it should be

5 0

4 years ago