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katrin2010 [14]
3 years ago
9

-7p = -3p - 8 p = Help

Mathematics
2 answers:
jeka943 years ago
6 0

Answer:

p=2

Step-by-step explanation:

-7p = -3p - 8

Add 3p to each side

-7p+3p = -3p+3p - 8

-4p = -8

Divide each side by -4

-4p/-4 = -8/-4

p = 2

pentagon [3]3 years ago
6 0

Answer:

\huge{ \fbox{ \sf{p = 2}}}

Step-by-step explanation:

\bigstar{ \sf{  \: - 7p =  - 3p - 8}}

\underline{ \underline{ \mathfrak{Let's \: solve}}} :

\text{Step \: 1} :  \sf{Move \: 3p \: to \: left \: hand \: side \: and \: change \: it's \: sign}

\mapsto{ \sf{ - 7p + 3p =  - 8}}

\text{Step \: 2} :  \sf{Collect \: like \: terms}

\sf{Like \: terms \: are \: those \: which \: have \: the \: same \: base}

\mapsto{ \sf{ - 4p =  - 8}}

\text{Step \: 3} :  \sf{Divide \: both \: sides \: by \:  - 4}

\mapsto{ \sf{ \frac{ - 4p}{ - 4}  =  \frac{ - 8}{ - 4}}}

\text{Step \: 4} :  \sf{Calculate}

\mapsto{ \sf{p = 2}}

Hope I helped!

Best regards! :D

~\sf{TheAnimeGirl}

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Y=x2<br> x=-3 -2 -1 0 1 2 3<br> y=
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Answer:

see below

Step-by-step explanation:

Y=x^2

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y=(-3)^2    (-2)^2    (-1)^2    0^2    1^2    2^2   3^2

       9           4           1         0        1         4       9

7 0
3 years ago
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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
Which of the following is true of rounding the optimized solution of a linear program to an integer?
VashaNatasha [74]

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

the optimized solution of a linear program to an integer as it does not affect the value of the objective function.

As if we round the optimized solution to the nearest integer, it does not change the objective function .

while it is not true that it always produces the most optimal integer solution or feasible solution.

Hence, Option 'c' is correct.

6 0
3 years ago
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