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Harrizon [31]
3 years ago
12

Given the parent functions f(x)=3x+2 and g(x)=5^x-10,what is g(x)-f(x)?

Mathematics
1 answer:
Stels [109]3 years ago
4 0
-3x + 5^x - 8 is what it is simplified so thats your final answe :}
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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
Will give brainliest
beks73 [17]

Answer:

x = 0, y = 2, and z = -1

Step-by-step explanation:

6 0
3 years ago
HELPPPPPP MEEEE THANKSS
stepan [7]
3,500 it is that your welcome I have the same problem right now
6 0
3 years ago
Read 2 more answers
Solve x^2 = 144.<br><br>A. 72 <br>B. 12<br>C. +12<br>D. -12​
Vladimir79 [104]
B. 12

Ex: 12 squared is 144
5 0
3 years ago
Read 2 more answers
Whats is it a reflection a horizontal stretch or horizontal compression
yan [13]
A reflection is a mirror image.  Placing the edge of a mirror on the x-axis will form a reflection in the x-axis.  This can also be thought of as "folding" over the x-axis.

If the original (parent) function is <span>y = f (x)</span><span>, the <span>reflection over the x-axis </span>is function</span><span> -f (x)</span><span>.</span>

6 0
3 years ago
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