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Rzqust [24]
3 years ago
9

*I thought of a number, added 18, then multiplied the result by 8. I got 16. What was my number?

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
4 0

Answer:

-16

Step-by-step explanation:

Represent the number by n.

Then:

8(n + 18) = 16

Performing the indicated multiplication, we get:

8n + 144 = 16

Subtracting 144 from both sides results in 8n = -128.

Dividing both sides by 8:  n = -128/8  =  -16

The number was -16.

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ΔABC is similar to ΔAXY by a ratio of 3:2. If BC = 24, what is the length of XY?
krek1111 [17]
If BC and XY are similar and BC=24 with a ratio of 3:2, then divide 24 by 3 so,

24/3 = 8

8 is the stem unit meaning

3•8= 24

then 2•8= 16

The answer is 16.
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The answer to all of these problems
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3 years ago
What is the slope of the equation -4x-7y=-14
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F(x) = 3x^4 is even or odd?
lara31 [8.8K]

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3 years ago
Read 2 more answers
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
2 years ago
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