For the given table, the difference between two consecutive y terms are

It means the difference is constant. So the given function is in arithmetic progression.
And to find the equation, representing the given series, we will use the formula for the nth term of arithmetic series, which is

Here,

So we will get

Answer:
about 31.62 units
Step-by-step explanation:
tan(59)=x/19
x=19tan(59)
x=31.62
The inequality of the given question is x+2y ≥ 150
Step-by-step explanation:
Given,
The mark out of 100 for Term 1 exam and twice the mark out of 100 for the term 3 exam are added together.
And, he needs to obtain 150 to achieve the grade.
To find, the inequality to student mark
Let,
The student got x in Term 1 and y in Term 2.
To be passed, he needs to get x+2y
So, the requited inequality will be x+2y ≥ 150

To find f(g(x)), insert the equation of g(x) into the x value for f(x)
Answer: The first one and the third one
Step-by-step explanation:
The first one because a+c would equal the same as b+c due to the fact that a and b are equal. The second one would be because when solving for w+2=7 then you would subtract 2 from both sides and get 5 and the second one states after being simplified that w=5