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3 years ago

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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Pls help me solve this question, also include step by step calculation ya. Thks

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$\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}$

Step-by-step explanation:

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

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

Prologarithmize both parts of the equation:

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

Divide both parts of the equation by 2:

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

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

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