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
Answer:
5) a) complementary
6) b) supplementary
7) c) vertical angles
Step-by-step explanation:
5)
The sum of the complementary angles = 90 degrees
According to the graph, both angles add up to 90 degrees
Answer: a) complementary
6)
Straight angle is equal 180 degrees
The sum of the supplementary angles = 180 degrees
Answer: b) supplementary
7)
Vertical Angles are the angles opposite each other when two lines cross. The vertical angles are congruent.
Answer: c) vertical angles
Answer:
2/3
Step-by-step explanation:
5 black
3 green (not black)
3 blue (not black)
4 yellow (not black)
there are 5 black and 10 not black out of a total of 15 marbles.
there are 10/15 that are not black. Reduced 2/3.
Answer:
8 seconds.
Step-by-step explanation:
To solve this question, we need to find the time, 
, when 
, that is, when the height of the object above the ground is 0 feet.
Substituting 
feet per second and gives the quadratic:
Since 128 is divisible by 16, it can be reduced to 
.
We must now solve for .
We can easily see that one answer to the equation is 0,
(we need not concern ourselves with the 16 outside of the parenthesis as in the equation above, since 16 multiplied by 0 is 0). However this is the time the object is released into the air.
The second answer, 
is also easy to see by inspection:
.
Therefore the object lands 8 seconds after it is thrown.
