Answer:
y=-4/2x+-2
Step-by-step explanation:
How would you explain this question in your head then try to solve your way. I hope this helps you with the question.
Answer:
X= -1
Step-by-step explanation:
So to solve equations like this, you want to isolate the variable first. Then you begin to simplify by dividing each side of the equation by a factor that does not contain a variable.
Answer:
<h2>x = 2</h2>
Step-by-step explanation:
![\\\\\text{Domain:}\\\\2x^3-8>0\ \wedge\ x>0\\2x^2>8\to x^3>4\to x>\sqrt[3]4\\\\x\in(\sqrt[3]{4},\ \infty)\\\\\log_2(2x^3-8)-2\log_2x=\log_2x\qquad\text{add}\ 2\log_2x\ \text{to both sides}\\\\\log_2(2x^3-8)=3\log_2x\qquad\text{use}\ n\log_ab=\log_ab^n\\\\\log_2(2x^3-8)=\log_2x^3\iff2x^3-8=x^3\qquad\text{subtract}\ 2x^3\ \text{from both sides}\\\\-8=-x^3\qquad\text{change the signs}\\\\8=x^3\to x=\sqrt[3]8\\\\x=2\in D](https://tex.z-dn.net/?f=%5C%5C%5C%5C%5Ctext%7BDomain%3A%7D%5C%5C%5C%5C2x%5E3-8%3E0%5C%20%5Cwedge%5C%20x%3E0%5C%5C2x%5E2%3E8%5Cto%20%20x%5E3%3E4%5Cto%20x%3E%5Csqrt%5B3%5D4%5C%5C%5C%5Cx%5Cin%28%5Csqrt%5B3%5D%7B4%7D%2C%5C%20%5Cinfty%29%5C%5C%5C%5C%5Clog_2%282x%5E3-8%29-2%5Clog_2x%3D%5Clog_2x%5Cqquad%5Ctext%7Badd%7D%5C%202%5Clog_2x%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5C%5Clog_2%282x%5E3-8%29%3D3%5Clog_2x%5Cqquad%5Ctext%7Buse%7D%5C%20n%5Clog_ab%3D%5Clog_ab%5En%5C%5C%5C%5C%5Clog_2%282x%5E3-8%29%3D%5Clog_2x%5E3%5Ciff2x%5E3-8%3Dx%5E3%5Cqquad%5Ctext%7Bsubtract%7D%5C%202x%5E3%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5C-8%3D-x%5E3%5Cqquad%5Ctext%7Bchange%20the%20signs%7D%5C%5C%5C%5C8%3Dx%5E3%5Cto%20x%3D%5Csqrt%5B3%5D8%5C%5C%5C%5Cx%3D2%5Cin%20D)
Answer:
The rate of change represented in the table is 14
Step-by-step explanation:
rise over run or y2-y1/x2-x1 to find the rate of change
pick two points
lets use (0,-11) and (2, 17)
17 - (-11) / 2 - 0
= 28 / 2
= 14
