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photoshop1234 [79]
3 years ago
12

.....................​

Mathematics
1 answer:
Alex Ar [27]3 years ago
7 0

Answer:

...?

Step-by-step explanation:

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Solving x+ 8 = –3 gives:<br> (i) x = 11<br> (ii) x = 12<br> (iii) x = –11 <br> (iv) x = –12
olchik [2.2K]

Answer:

x+8=-3 gives

x=-11 is the required value

8 0
2 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
I’m confused on this one
scoray [572]
The general form of slope-intercept form is y=mx+b

m stands for the slope
b stands for the y intercept

They are giving you m so you can replace m with -4/5 ⇒ y=-4/5x+b

Now you just need to find b. They also give you the point (0,-3). This means that when x is 0, y is equal to -3.

Lets go back to y=-4/5x+b and replace x with 0 and y with -3.
⇒ -3=(-4/5)(0) + b
⇒ -3= 0+b
⇒ -3=b 
⇒ b=-3

Now that you have m and b, you can find your final answer in the form y=mx+b
⇒ y=-4/5x + (-3)
⇒ y= -4/5x - 3


6 0
3 years ago
Compound inequality that represents all the numbers between -4 and 6
KatRina [158]
You can write it as:
-4≥x≤6

*The '≥' and '≤' just means that it is greater than or less than but it can still be equal to the number you are comparing it to.

Hope this helps! :)
6 0
3 years ago
The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best inte
ki77a [65]
The answer is D. A cube with side lengths of 2 feet has a volume of 8 cubic feet.
7 0
3 years ago
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