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KatRina [158]
1 year ago
10

Need this ASAP! Taking a math quiz and my brain just went numb so I cant think

Mathematics
1 answer:
NikAS [45]1 year ago
3 0

Answer:

\frac{ - 12 + x}{11}  =  - 3 \\  \\  - 12 + x =  - 3\times  11 \\  \\  - 12 + x =  - 33 \\  \\ x =  - 33 + 12 \\  \\ x =  - 21

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2logx=3-2log(x+3) solve for x​
AVprozaik [17]

Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

2\log x=3-2\log(x+3)\\\\Domain:\ x>0\ \wedge\ x+3>0\to x>-3\\\\D:x>0\\============================\\2\log x=3-2\log(x+3)\qquad\text{add}\ 2\log(x+3)\ \text{to both sides}\\\\2\log x+2\log(x+3)=3\qquad\text{divide both sides by 2}\\\\\log x+\log(x+3)=\dfrac{3}{2}\qquad\text{use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log\bigg(x(x+3)\bigg)=\dfrac{3}{2}\qquad\text{use the de}\text{finition of a logarithm}\\\\x(x+3)=10^\frac{3}{2}\qquad\text{use the distributive property}

x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D

6 0
2 years ago
Simplify the expression -1/2(-5/6 + 1/3)
alexira [117]

Answer: 1/4

Step-by-step explanation:

​​-

5 0
2 years ago
It is impossible to get 6 jacks when selecting cards from a shuffled deck. Express the indicated degree of likelihood as a proba
Vinil7 [7]

Answer:

Probability = 0

Step-by-step explanation:

If something happening is impossible, it's probability of occurring is also 0.

A deck of cards only contains 4 jacks.

Thus you can never get 6 jacks out of the deck without replacing the selected card each time.

Since we are not replacing the cards once we pick them, this event is impossible to occur.

4 0
3 years ago
Maria’s phone bills were 95 67 43 and 115 what is the mean or average of her phone bill
Vesna [10]

Answer:

80

Step-by-step explanation:

You have to add all of the numbers together and divide them by how many numbers there are.

95 + 67 + 43 + 115 = 320

320 / 4 = 80

5 0
3 years ago
Read 2 more answers
Please help me please i really need help please
kari74 [83]
Point Form: (1,-5)
Equation Form: x-1,y=-5
8 0
2 years ago
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