1) The solution for m² - 5m - 14 = 0 are x=7 and x=-2.
2)The solution for b² - 4b + 4 = 0 is x=2.
<u>Step-by-step explanation</u>:
The general form of quadratic equation is ax²+bx+c = 0
where
- a is the coefficient of x².
- b is the coefficient of x.
- c is the constant term.
<u>To find the roots :</u>
- Sum of the roots = b
- Product of the roots = c
1) The given quadratic equation is m² - 5m - 14 = 0.
From the above equation, it can be determined that b = -5 and c = -14
The roots are -7 and 2.
- Sum of the roots = -7+2 = -5
- Product of the roots = -7
2 = -14
The solution is given by (x-7) (x+2) = 0.
Therefore, the solutions are x=7 and x= -2.
2) The given quadratic equation is b² - 4b + 4 = 0.
From the above equation, it can be determined that b = -4 and c = 4
The roots are -2 and -2.
- Sum of the roots = -2-2 = -4
- Product of the roots = -2
-2 = 4
The solution is given by (x-2) (x-2) = 0.
Therefore, the solution is x=2.
Equation of straight line is y=mx+c ,here m is slope in given question m is 1/4.
Hope it helps you.
Answer:
see explanation
Step-by-step explanation:
Using the rules of exponents
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Answer:
Step-by-step explanation:
B. 0.00604
D.1.47 ×
-- The whole discussion involves 4 rooms, never more and never less,
so we can call the 4 rooms "1 job" for simplicity.
-- Patrice, by himself, does the job in 10 hours. So he does 1/10 of
the job each hour.
-- Working together, Patrice and April do the job in 6 hours. So when
they work together, they do 1/6 of the job each hour.
-- April's part of the job is (1/6 - 1/10) = (5/30 - 3/30) = 2/30 = 1/15 job per hour.
-- Her unit rate alone is 1/15 job per hour, or <em>15 hours</em> per job.