Step-by-step explanation:
rc = planted rows of carrots
rt = planted rows of tomatoes
h = number of hours
rc = 4h + 1 (starting with 1 already finished row there will be 4 additional rows every hour)
rt = 3h + 8 (staying with 8 already finished rows there will be 3 additional rows every hour).
when will they have planned the same number of rows ?
when rc = rt, of course.
so,
4h + 1 = 3h + 8
h = 7
4×7 + 1 = 28 + 1 = 29 rows
after 7 hours Quincy and his mom will each have planted 29 rows of vegetables.
Answer:
<h2><em><u>61 marks</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
Marks of the four exams = 65, 80, 76, 68
Let the mark for the fifth exam be = x
Mean of the five exams = 70
<em><u>Therefore</u></em><em><u>,</u></em>
<em>By</em><em> </em><em>the</em><em> </em><em>problem</em><em>, </em>
=> 289 + x = 70 × 5
=> 289 + x = 350
=> x = 350 - 289
=> x = 61
<em><u>Hence</u></em><em><u>,</u></em>
<em><u>Marks</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>fifth</u></em><em><u> </u></em><em><u>exam</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>61</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
The discontinuity occurs when the denominator is equal to zero, as it has "infinite" slope, and thus is not a real value or point.
x^2+x-12
x^2+4x-3x-12
x(x+4)-3(x+4)
(x-3)(x+4)
So discontinuities occur when x=-4 and x=3