(Q2) Which of the following points lies on the graph of the function y = 4x ?
1 answer:
Answer:
C
Step-by-step explanation:
I think I will answer the question the your attachment because it has full information.
The function is: y = 3*
a. The function decreases
Wrong, because the base number is 2 and it is greater than 0. The function will go up
b. y=intercept of (0.2)
Wrong, Let substitute x =2 into the function: y = 3* = 12
c. if x increase by 1, the value of y will double
Because the base number is 2. For example:
- If x = 2, y = 3*
= 12
- If x =3, y =3*
=(3*
d. contains the point (2,4)
Wrong, Let substitute x =4 into the function: y = 3* = 48
So we choose C
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Assume the first even integer is x.
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.
The reciprocals of these two even integers can be written as
and 
respectively.
The sum of their reciprocals is 7/24. So we can set up the equation as:
Taking LCM on left hand side:
Cross Multiplying the denominators:
Using the quadratic formula to solve the above equation:
Since, the value of x can only be an integer, we discard the fractional value and keep x=6
So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24
The next even integer will be 2 digits after this digit. So the next even integer will be x+2.
The reciprocals of these two even integers can be written as
The sum of their reciprocals is 7/24. So we can set up the equation as:
Taking LCM on left hand side:
Cross Multiplying the denominators:
Using the quadratic formula to solve the above equation:
Since, the value of x can only be an integer, we discard the fractional value and keep x=6
So the first even integer is 6 and the next even integer is 8. The sum of reciprocals of 6 and 8 is 7/24