1. 4x=3y+3, 6y= 8x+ 36.2. y=3x-1, y= 6- x/3.determine whether the following pair of lines is parallel or perpendicular?

4x=3y+3 and 6y= 8x+ 36 and y=3x-1 and y= 6- x/3

4x=3y+3 and 6y= 8x are parallel and y=3x-1 and y= 6- x/3 are perpendicular.

See the attached plot for answer.

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation: