Please help with these math questions (Please don't answer if you don't know all of them)
1 answer:
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Answer:
Step-by-step explanation:
Move all terms to one side.
Use the Quadratic Formula.
,
Let's assume
the number of hours Susan jogs at the increased speed is 't' hours
Since, increased speed is 6 miles per hour
after 't' hours , she travles with increased speed is 6*t miles
She starts off with a half-hour walk at a pace of 2 miles per hour
so, she travels distance
=0.5*2 miles
=1 miles
She travels a total of 4 miles
total distance is
=6t+1
now, we can set them equal
now, we can solve for t
Subtract both sides by 1
Divide both sides by 6
we get
so, the number of hours Susan jogs at the increased speed is 0.5 hrs.........Answer
Get everything on one side: 
. Now we can factor to find the solutions. What we ask ourselves here is "What 2 numbers will add to be +4 and multiply to be -21?" +7 and -3 work because 7-3 = 4 and 7 * -3 = -21. So our factors are (x+7)(x-3). Our solutions, however, are found using the Zero Product Property. If x + 7 = 0, then x = -7. If x - 3 = 0, then x = 3. So our solutions are x = -7 and x = 3.