Answer:
A). interval 0 ≤ x ≤ 2
B). interval 2 ≤ x ≤ 4
C). interval 8 ≤ x ≤ 10
D). h(14) = 0
Step-by-step explanation:
Part A.
In the interval 0 ≤ x ≤ 2, height of the water balloon is increasing.
Part B.
In the interval 2 ≤ x ≤ 4, height of the water balloon is constant.
Part C.
In the interval 8 ≤ x ≤ 10, height of the water balloon is decreasing the fastest.
Slope of the line between x = 8 and x = 10 is the maximum.
Part D.
Since at x = 10 height of the water balloon is h = 0, therefore, at any moment after x = 10 seconds height of the balloon will remain zero.
Answer:
Step-by-step explanation: Hey for the second one I got y = -3/4x -0.5 I'm not sure if its correct though sorry if not
ill try my best to explain my solution though
1. From the parallel equation (3x + 4y = 12) all we need to do is find the slope
So the easiest way to do so is to put the said equation in <u>y-intercept </u>form
y=mx +b
m= slope
b= y intercept
so 1. 3x + 4y = 12
=
4y = 12-3x
divide that by 4 to get only y
y=3-3/4x
-3/4 is our slope
y=-3/4x+b
than we have a point -2, -2
if we put -2 for y
-2=-3/4x+b
and then we put our -2 for x
-2 = -3/4 * -2 + b
=
-2 = -1.5 +b
b=-0.5
Answer : y=-3/4x-0.5
Answer:
The room dimensions for a minimum cost are: sides of 10 feet and height of 8.75 feet.
Step-by-step explanation:
We have a rectangular room with sides x and height y.
The volume of the room is 875 cubic feet, and can be expressed as:
With this equation we can define y in function of x as:
The cost of wall paint is $0.08 per square foot. We have 4 walls which have an area Aw:
The cost of ceiling paint is $0.14 per square foot. We have only one ceiling with an area:
We can express the total cost of painting as:
To calculate the minimum cost, we derive this function C and equal to zero:
The sides of the room have to be x=10 feet.
The height can be calculated as:
The room will have sides of 10 feet and a height of 8.75 feet.
Answer:
x+12
Step-by-step explanation:
(0+c)+12
0+c+12
c+12+0
c+12
Hope this helps plz hit the crown :D