Answer:
x = 2
Step-by-step explanation:
To start, you want to isolate x.
To do so, get all the x terms to one side.
2x + 1 = 4x - 3
Subtract -4x on both sides.
-2x + 1 = -3
Then, subtract 1 on both sides.
-2x = -4
Finally, divide -2 on both sides.
x = 2
x²-6x=0
x(x-6)=0
Two solutions are possible:
x=0
x=6
Rotation is a transformation where an object is rotated about a fixed point.
<h3>What is a transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.
<em>Translation, reflection and rotation</em> are rigid transformations because they preserve the shape and size of the figure.
Rotation is a transformation where an object is rotated about a fixed point.
Find out more on transformation at: brainly.com/question/4289712
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Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is E = 1.5 seconds
The standard deviation is s = 4 seconds
Given that the confidence level is 97% then the level of significance is mathematically represented as
=> 
Generally from the normal distribution table the critical value of 
is
Generally the sample size is mathematically represented as
![n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Csigma%20%7D%7B2%20%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
=> ![n =[ \frac{2.17 * 4 }{1.5} ]^2](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7B2.17%20%20%2A%204%20%7D%7B1.5%7D%20%5D%5E2)
=>
Question 50.
a. Description
You walk 0.5 miles during 10 minutes, stop and wait for the bus during 4 minutes, then ride the bus for 2 miles during 4 minutes.
b. slopes
the slope of each line represents the average speed of every track.
1) first track
slope = 0.5 miles / 10 minutes = 0.05 miles / minutes.
Given that the slope is constant, you walked at a constant speed of 0.05 miles/minute.
2) second track
slope = 0 => you didn,t move (you were waiting the bus)
3) third track
slope = (2.5 - 0.5) miles / (18 min - 14 min) = 2 miles / 4 min = 0.5 miles / min
means the speed of the bus was constant and equal to 0.5 miles / min.
