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vesna_86 [32]
3 years ago
11

Find the value of 3u-8 given that -7u + 9=2

Mathematics
2 answers:
bulgar [2K]3 years ago
8 0

Answer:

-5

Step-by-step explanation:

-7u+9=2

-7u=2-9

-7u=-7

7u=7

u=7/7

u=1

3(1)-8=3-8=-5

eduard3 years ago
8 0
Step 1: Solve for u using the equation -7u+9=2


-7u+9=2
-9 -9
_________
-7u=-7
__ __
-7 -7
_________
U=-1


Step 2: Substitute u into 3u-8

3u-8
3(-1) -8
-3 -8
-11


The value of 3u-8 is -11


Hope this helps comment below for more questions :)
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\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}

Step-by-step explanation:

5x^2-x^2e^{2x}+2e^{2x}=10

Let:\ x^2=t  \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}

<em>Prologarithmize both parts of the equation:</em>

ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\

<u><em> Divide both parts of the equation by 2:</em></u>

\displaystyle\\x=\frac{ln5}{2}

t-2=0\\t-2+2=0+2\\t=2\\x^2=2\\x=\sqrt{2} \\x=-\sqrt{2}

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