Answer:
(f +g)(2) = -7
Step-by-step explanation:
Functions are added by adding their values.
<h3>Application</h3>
(f +g)(2) = f(2) +g(2)
= (2 -8) +(4(2) -9) . . . . . evaluate f and g with z=2
= -6 +(-1)
(f +g)(2) = -7
Answer:
y = 3/2x
Step-by-step explanation:
it seems what they are asking for here is our slope.
To find this, we must figure out the change in y over the change in x.
This can be viewed as:
Δy/Δx = slope
In this case, we can see that the line crosses at (4,6), and at (0,0)
Since our y changes by 6, and our x changes by 4, our slope is:
6/4 = slope
Or:
3/2 = slope
So your answer is 3/2x.
Hope this helps!
Answer:
4×sqrt(5) inches
Step-by-step explanation:
Pythagorean theorem states that (for right triangles) if you square each shorter side and add those together, you will get the sum of the longest side (hypotenuse) squared.
This is commonly written as:
a^2 + b^2 = c^2, where c is the hypotenuse.
((For right triangles this will always be opposite the 90° angle.))
Since you know one of the shorter sides and the hypotenuse, rewrite the equation as such:
c^2 - b^2 = a^2, where a is the unknown length
This goes to:
sqrt(c^2 - b^2) = a
sqrt((12in)^2 - (8in)^2) = a
sqrt(144sqin - 64sqin) = sqrt(80sqin) = a
This simplifies to:
sqrt(16sqin)×sqrt(5sqin) = 4in×sqrt(5sqin) = a
Answer:
675 total attendees at the conference.
Step-by-step explanation:
Let x represent total attendees at the conference.
We have been given that at a conference the organizer determined at 32% of the attendees were between the ages of 18 and 29. There were 216 attendees in this age range. We are supposed to find the total attendees at the conference.
To find the number of total attendees at the conference, we will set as equation where 32% of x is equal to 216.




Therefore, there were 675 total attendees at the conference.