HELP!
1 answer:
Answer:
<u>Algebraically</u>
0.5x-7= √(-5x+29)
(0.5x-7)² = -5x+29
(0.5x)² - 2*0.5x*7 + 7² = -5x+29
0.25x² - 7x + 49 + 5x - 29 = 0
0.25x² - 2x + 20 = 0
Its discriminant is:
b² - 4*a*c
(-2)² - 4*0.25*20
-16 < 0
Therefore, the equation has no solutions.
<u>Graphically</u>
In the picture attached, the plots of the functions are shown. We can see that they don't intersect each other, and that is why there is no solution.
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The graph illustrated is divided into three seperate sections namely <em>A, B and C,</em> the short story culled from the graph is described thus:
Rate of change or slope = (Rise/ Run)
- <em>Rise = y2 - y1 </em>
- <em>Run = x2 - x1 </em>
<u>SECTION A:</u><u> </u>
Slope = (40 - 0) ÷ (20 - 0) = 40/20 = 2
Distance traveled = 50 meters
<u>SECTION B</u> :
This section gives an horizontal line, hence, the slope is 0.
Distance covered = 0 ; as there was no change in the distance over the period of time.
<u>SECTION</u><u> </u><u>C</u><u>:</u>
Slope = (80 - 50) ÷ (70 - 60) = 30/10 = 3
The total distance traveled = 80 - 50 = 30 meters
<u>The total </u><u>distance</u><u> </u><u>and</u><u> </u><u>time spent traveling</u> :
Total distance traveled = (50 + 30) = 80 meters
Total time spent = 70 seconds (<em>time at the 80 meter mark</em>)
Hence, the story.
Learn more : brainly.com/question/25309609
