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2 years ago

Write an equation in slope-intercept form of the line that is parallel to y = 5x + 12.

Mathematics

2 answers:

choli [55]2 years ago

7 0

Answer:

good luck bro these types of questions are so annoying im doing one now and is the question from mathswatch

Step-by-step explanation:

just olya [345]2 years ago

5 0

The slope is going to be 5 and the y intercept is going to be (0,12)

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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

I need the answer tbh

Blababa [14]

I think the answer would be the first one

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2 years ago

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Licemer1 [7]

Answer:

You subtract because you're taking away money when you're withdrawing.

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2 years ago

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Which inequality represents all values of x for which the quotient below is<br> defined?

garri49 [273]

Answer:

Option B: x > 0

Step-by-step explanation:

Option A is wrong because $\sqrt{3(0)}$ will be 0. So, the inequality can't be divided by 0.

Option C is wrong because 1 will suffice this inequality. $\sqrt{7}/\sqrt{3}=1.5 (approx)$

Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).

Leaving us with only option B, which is the right answer.

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2 years ago

Inequality 2x > x + 7 is equivalent to ?

Pavel [41]

Answer:

x>7

Step-by-step explanation:

We do 2 steps

2x > x + 7

that means

2x - x > x - x + 7

then

x > 7

That is the answer. Hope it useful for you!

4 0

2 years ago

Write an equation in slope-intercept form of the line that is parallel to y = 5x + 12. ​

Write an equation in slope-intercept form of the line that is parallel to y = 5x + 12.