Answer:
Average rate of change: 
Step-by-step explanation:
<u>Remember:</u>
The average rate of change of a function over an interval ![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
is 
<u>Given:</u>
![[a,b]=[1,7]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D%3D%5B1%2C7%5D)
<u>Calculation:</u>
Therefore, the average rate of change of the function 
over the interval 
is .
They are inverse functions though to be completely thorough your teacher should have also put g(f(x)) = x as well. Though I can see what your teacher is aiming for at least.
The idea is that whatever the output of g(x) is, it's plugged into f(x) and the initial input is the result. So g(x) takes a step forward and f(x) takes a step back undoing everything g(x) did. Which is exactly what an inverse operation does.
Answer:
.5
Step-by-step explanation:
1 half of any thing is 50 percent and 50 percent is written as a decimal when you move the decimal point twice to the left giving you .5
Answer:
Step-by-step explanation:
It's an obtuse. A triangle is considered acute if all 3 angles are acute; it is considered obtuse if one of its angles is obtuse. Ours has a 100 degree angle, so it is obtuse.
Answer:
the first one
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (10, - 6) and r = 6, hence
(x - 10)² + (y - (- 6))² = 6², that is
(x - 10)² + (y + 6)² = 36
