Answer:
Part B: ![\displaystyle [1, 2]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B1%2C%202%5D)
Part A: Set both equation equal to each other by Substitution, since our <em>y-values</em> are already given to us.
Step-by-step explanation:
6x - 4 = 5x - 3
- 6x + 3 - 6x + 3
____________
Plug this coordinate back into the above equations to get the <em>y-coordinate</em><em> </em>of 2.
<em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em><em> </em>[where<em> </em><em>b</em><em> </em>is the y-intercept and the rate of change (slope) is represented by <em>m</em>]
![\displaystyle y = 5x - 3; [0, -3]; 5 = m \\ y = 6x - 4; [0, -4]; 6 = m](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%20%3D%205x%20-%203%3B%20%5B0%2C%20-3%5D%3B%205%20%3D%20m%20%5C%5C%20y%20%3D%206x%20-%204%3B%20%5B0%2C%20-4%5D%3B%206%20%3D%20m)
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Answers:
___________________________In fraction:
.
___________________________In decimal:
0.38 .
_________________In percent:
38 % .
_________________Explanation:_________________19/50 = (19*2)/(50*2) = 38/100 .
38/100 = 38 ÷ 100 = 0.38 .
38/100 = 38 % .
___________________________
Answer:
Step-by-step explanation:
We would liken the given scenario to distance speed and time relationship. The formula for determining average speed is
Total Distance/ total time
Since the distance between Earth and Mars is 108 million miles(108 × 10^6) the trip takes 245 days, then on average, the number of miles that the astronauts would travel each day would be
108 × 10^6/245 = 440816 miles per day
Writing in powers of 10, it becomes 4.4 × 10^5 miles per day
Rounding to the nearest whole number, it becomes 4 × 10^5 miles per day
Answer:
3x = -18 (x = -6)
18x = 108 (x = 11)
5x = 90 (x = 18)
Step-by-step explanation:
<u>Given</u>:
The point P' is the image of the point P under the translation 
The coordinates of the point P are (6,0)
We need to determine the coordinates of the point P'
<u>Coordinates of the point P':</u>
The coordinates of the point P' can be determined by substituting the coordinates of the point P(6,0) in the translation.
Thus, substituting the coordinates, we have;
Simplifying the coordinates, we get;
Thus, the coordinates of the point P' is (0,-1)
