Answer:
1/2 ornament in an hour
Step-by-step explanation:
Given
Required
Determine the ornaments per hour
This question implies that we calculate the unit rate.
Substitute values for Time and number of ornaments
<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>
A.) To find the maximum height, we can take the derivative of h(t). This will give us the rate at which the horse jumps (velocity) at time t.
h'(t) = -32t + 16
When the horse reaches its maximum height, its position on h(t) will be at the top of the parabola. The slope at this point will be zero because the line tangent to the peak of a parabola is a horizontal line. By setting h'(t) equal to 0, we can find the critical numbers which will be the maximum and minimum t values.
-32t + 16 = 0
-32t = -16
t = 0.5 seconds
b.) To find out if the horse can clear a fence that is 3.5 feet tall, we can plug 0.5 in for t in h(t) and solve for the maximum height.
h(0.5) = -16(0.5)^2 + 16(-0.5) = 4 feet
If 4 is the maximum height the horse can jump, then yes, it can clear a 3.5 foot tall fence.
c.) We know that the horse is in the air whenever h(t) is greater than 0.
-16t^2 + 16t = 0
-16t(t-1)=0
t = 0 and 1
So if the horse is on the ground at t = 0 and t = 1, then we know it was in the air for 1 second.
Answer:
Step-by-step explanation:
Write the terms of numerator and denominator using a common denominator.
Answer:
X, process, y
-2, 3(-2), -6
-1, 3(-1), -3
0, 3(0), 0
1, 3(1), 3
2, 3(2), 6
X = -2, -1, 0, 1, 2,
Y = -6, -3, 0, -3, -6
Step-by-step explanation:
Coordinates for the graph: (-2,-6), (-1,-3), (0,0), (1,3), (2,6)
Graph is the image I added onto this.
Solving for Y below:
3(-2)= -6
3(-1)= -3
3(0)= 0
3(1)= 3
3(2)= 6
Hope this helps.
Answer:
The fisrt one were it almost hits 3
Step-by-step explanation:
