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andrew11 [14]
3 years ago
15

Solve 2x+4<6 I have no clue

Mathematics
1 answer:
Gemiola [76]3 years ago
8 0

Why did you delete my answer

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Precalc.
viktelen [127]
Domain: x>0.

(\log_2x)^2+7\log_2x+12=0

Substitute t=\log_2x\in\mathbb{R}. We have:

 t^2+7t+12=0\\\\a=1\qquad b=7\qquad c=12\\\\\\\Delta=b^2-4ac=7^2-4\cdot1\cdot12=49-48=1\\\\\sqrt{\Delta}=\sqrt{1}=1\\\\\\&#10;t_1=\dfrac{-b-\sqrt{\Delta}}{2a}=\dfrac{-7-1}{2}=\dfrac{-8}{2}=-4\\\\\\&#10;t_2=\dfrac{-b+\sqrt{\Delta}}{2a}=\dfrac{-7+1}{2}=\dfrac{-6}{2}=-3

For t₁ there will be:

\log_2x=t_1\\\\\log_2x=-4\\\\2^{-4}=x\\\\x=\dfrac{1}{2^4}\\\\\\x=\dfrac{1}{16}=0,0625\\\\\\\boxed{x\approx0,063}

and for t₂:

\log_2x=t_2\\\\\log_2x=-3\\\\2^{-3}=x\\\\x=\dfrac{1}{2^3}\\\\\\x=\dfrac{1}{8}\\\\\\\boxed{x=0,125}

Answer d)


6 0
3 years ago
PLEASE help! 5. Given that side A and side E are of equal length, find a positive value for x. Show all work.
andrew11 [14]
3x²-11=x+13
3x²-x-24=0
(3x+8)(x-3)=0
x=3 or -8/3
☺☺☺☺

4 0
3 years ago
What must be the value of x for a to be parallel to b? m∠1 = 98 and m∠2 = 9x+17
Umnica [9.8K]

I think it is C .....

4 0
3 years ago
Select the proper order from the least to the greatest 1/2 5/6 2/7 4/2
Olin [163]

Answer:

1/2, 2/7, 5/6, 4/2

Step-by-step explanation:

4 0
3 years ago
I ONLY need help with the tables ONLY! I’LL GIVE BRAINLIEST FOR THE RIGHT ANSWER?! I please include what you did for both tables
neonofarm [45]

Answer:

The first table.

Step-by-step explanation:

Every single time, the x is being multiplied by 3 to get the y, and that means its proportional. Also, the second one is for sure NOT proportional

7 0
3 years ago
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