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Answer:
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Given:
Find:
Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.
<u>Plug in the values</u>
<u>Simplify</u>
As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.
Sophia is more correct in her solution.
Answer:
(-1,10)
Step-by-step explanation:
At the point when the paths cross, the respective x and y values of each equation will be equal.
Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:
4x+2x+12=6
6x=-6
x=-1
y=2x+12
y=2(-1)+12=10
So you will cross paths at (-1,10)
Step-by-step explanation:
Number of males is
Number of males not enrolled
Number of females not enrolled
(a)
The table based on data is
<u> Enrolled Not enrolled Total </u>
<u>Male 82 36 118 </u>
<u>Female 102 56 158 </u>
Total 184 92 276
(b)
Percentage of students were males that went to magic college
- enrolled male / total students = (use table above)
- 82/276*100% = 29.71% (rounded)
(c)
Percentage of females went to magic college
- enrolled female / total female = (use table above)
- 102/158*100% = 64.56% (rounded)