Answer:
2
Step-by-step explanation:
The average rate of change of h(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ - 2, 4 ] , then
f(b) = f(4) = - (4)² + 4(4) + 12 = - 16 + 16 + 12 = 12
f(a) = f(- 2) = - (- 2)² + 4(- 2) + 12 = - 4 - 8 + 12 = 0
Then
average rate of change = 
= 
= 2
9514 1404 393
Answer:
no
Step-by-step explanation:
The graph of this equation on an x-y plane is a vertical line. The input value x=15 maps to an infinite number of outputs (y-values). For a relation to be a function, each input can only map to one output.
x = 15 is not a function
4(x-7)=12=
4x-28=12
add 28 to both sides
4x=40
x =40/4 = 10
x = 10
X = original angle
3x = (90-x) - 14
3x = -x + 76
4x= 76
x = 19
The measure of the angle is 19 degrees
Answer:
Choice B) experimental probability is larger
Step-by-step explanation:
There are 3 odd numbers (1,3,5) out of 6 total (1,2,3,4,5,6) on the number cube. So theoretically, the chances of rolling an odd number are 3/6 = 1/2 = 0.5
When we do the experiment, we roll an odd number 325 times out of 500 trials total. So the experimental probability is 325/500 = 0.65
Comparing the results of 0.5 and 0.65, we see that 0.65 is larger. So the experimental probability is larger.
Note: with a large number of trials, the experimental probability should get closer and closer to the theoretical probability. This is assuming that all trials are independent of one another and the number cube is properly weighted.
