Let's say her speed was x miles/hour during the first 3 miles runThen, time = distance/speedt1 = 3/x eq1 In the next 4 miles run, her speed = x-1 miles/hourTime taken:t2 = 4/(x-1) eq2 Now, total time:t1 + t2 = 1 3/5 hourssubstitute t1 and t2 from eqs. 1 and 2 3/x + 4/(x-1) = 1 3/5=> 3/x + 4/(x-1) = 8/5
=> 3(x-1) + 4x = 8x(x-1)/5=> 35x - 15 = 8x2 - 8x=> 8x2 - 43x + 15 = 0=> (8x-3)*(x-5) = 0=> x = 3/8 or 5 miles/hourx can not be 3/8 miles/hour because in that case, the speed during 4 miles run would be 3/8-1 = negative numberi.e. speed during 3 miles segment = 5 miles/hourand speed during 4 miles segment = 5-1 = 4 miles/hour
Answer:
y=1/3 + 3
Step-by-step explanation:
y= 1/3x + b
(1) = 1/3(-6) + b
1 = -2 +b
3 = b
y=1/3 + b
See the attached files
<h2>Explanation:</h2>
Here we have the following inequality:
In order to graph the shaded region, we have to graph the equation of the line whose slope is and y-intercept . So the graph of the line is shown in the First Figure below.
To find the shaded region we need to have a look at the symbol > that indicates that the shaded region is above the graph of the line and. Since this doesn't include the symbol =, then the line is dotted. Therefore, the resulting region is shown in the second Figure.
<h2>Learn more:</h2>
Shaded regions: brainly.com/question/9611462
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Answer:
12/10 or 1 1/5
Step-by-step explanation:
1/2 = 5/10
7/10 + 5/10 = 12/10 or 1 1/5