Answer:
(f+g)(x) = 3x^2 + x + 1
Explanation:
We are given that:
f(x) = 3x^2 - 1
g(x) = x + 2
To find (f+g)(x), all we have to do is add the above to functions as follows:
(f+g)(x) = f(x) + g(x)
= 3x^2 - 1 + x + 2
= 3x^2 + x + 1
Hope this helps :)
Create formulas!
x=number of adult tickets
y=number of student tickets
x+y=644 <em>total sold</em>
56+y=x <em>student was 56 less than adult</em>
Perform substitution
(56+y)+y=644
56+2y=644
2y=588
y=294
Substitute y into the formula we created
x+294=644
x=350
350 adult tickets were sold.
Hey!
So the first thing we can notice is that we are given the equation of the line parallel to the one we need to find. Two parallel lines always have the same slope. We can tell by looking at the equation that the slope of the line that we have been given is 1 and since the lines are parallel the slope of the line we need to find is also 1.
Knowing this and a point that the line passes through, we can find the y-intercept or b:
y = mx + b
4 = 1(1) + b
4 = 1 + b
3 = b
Since we know that the y-intercept is 3, we can plug this back into the slope intercept form equation along with the slope to get our equation:
y = x + 3
