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abruzzese [7]
3 years ago
6

What's a divisor a dividend and a quotient​

Mathematics
1 answer:
Hoochie [10]3 years ago
8 0
Quotient is the correct answer
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What is the slope and y-intercept of this line?
VARVARA [1.3K]

Answer:

The slope is -6 and the y-intercept is 2

Step-by-step explanation:

The slope of an equation is always the number next to x, so therefore it is -6. The y-intercept is the number that comes after the slope, which in this equation is 2. If you need me to explain more, let me know. Hope this helps!

8 0
3 years ago
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
3 years ago
Nancy wants to make a graph to show the relationship between the temperature of water, in degrees Celsius, and the time, in minu
ollegr [7]
The correct answer is B
8 0
3 years ago
True or False: (x + 3)2 = x2 + 9
malfutka [58]

Answer:

false

Step-by-step explanation:

3 0
3 years ago
Write 600 as the product of prime factors.<br>Give your answer in index form.<br>​
MAXImum [283]

Answer:

2^3 x 3 x 5^2

Step-by-step explanation:

600/2

300/2

150/2

75/3

25/5

5/5

1

6 0
3 years ago
Read 2 more answers
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