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Answer:
Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.
Step-by-step explanation:
i) let the number of 2 point question is x.
ii) let the number of 5 point questions be y
iii) total number of questions is 50
iv) therefore x + y = 50
v) it is also given that 2x + 5y = 145
vi) solving for the two equations found in iv) and v). Multiplying iv) by 2 we get
2x + 2y = 100
vii) subtracting equation vi) from equation v) we get 3y = 45.
viii) Therefore y = 15.
ix) using the value in viii) and substituting in iv) we get x + 15 = 50.
Therefore x = 50 - 15 = 35
x) Therefore there are 35 number of 2-point questions and 15 number of 5-point questions.
All others did not satisfy the inequality simultaneously except #4 and #6
For #4:
2 < 5(1) + 2 i.e. 2 < 7 (true)
2 >= 1/2(1) + 1 i.e. 2 >= 3/2 (true)
For #6
2 < 5(2) + 2 i.e. 2 < 12 (true)
2 >= 1/2(2) + 1 i.e. 2 >= 2
Answer:
2
Step-by-step explanation:
y1-y2/x1-x2
Answer:
what line?
Step-by-step explanation:
