The maximum height of the tray is 1.8 meters and the tray is in the air for 2 seconds
<h3>The maximum height of the tray</h3>
The distorted information (i.e. the function) in the question is:
h(t) = -0.2t^2 + 0.4t + 1.6
Differentiate the function
h'(t) = -0.4t + 0.4
Set to 0
-0.4t + 0.4 = 0
Subtract 0.4 from both sides
-0.4t = -0.4
Divide by -0.4
t = 1
Substitute t = 1 in h(t) = -0.2t^2 + 0.4t + 1.6
h(1) = -0.2(1)^2 + 0.4(1) + 1.6
Evaluate
h(1) = 1.8
Hence, the maximum height of the tray is 1.8 meters
<h3>Time spent in the air</h3>
In (a), we have:
t = 1
This represents the time to reach the maximum height.
The time spent in the air is:
T = 2t
This gives
T = 2 * 1
T = 2
Hence, the tray is in the air for 2 seconds
Read more about quadratic functions at:
brainly.com/question/11535666
#SPJ1
Answer:
A. 40x + 10y + 10z = $160
B. 8 Roses, 2 lilies and 2 irises
C.
1. 20x + 5y + 5z = $80
2. 4x + y + z = $16
3. 8x + 2y + 2z = $32
Step-by-step explanation:
Cost for each flower = $160/5 = $32
So we have $32 for each bouquet consisting of 12 flowers each.
Roses = x = $2.50 each
lilies = y = $4 each
irises = z = $2 each
8x + 2y + 2z = $32
8($2.50) + 2($4) + 2($2) = $32
$20 + $8 + $4 = $32
$32 = $32
a. Maximum budget is $160
40x + 10y + 10z = $160
40($2.50) + 10($4) + 10($2) = $160
$100 + $40 + $20 = $160
$160 = $160
b. From above
8x + 2y + 2z = $32
8 Roses, 2 lilies and 2 irises
c. No. There are other solutions If total cost is not limited
1. 20x + 5y + 5z
20($2.50) + 5($4) + 5($2)
$50 + $20 + $10
= $80
2. 4x + y + z
4($2.50) + $4 + $2
$10 + $4 + $2
= $16
3. 8x + 2y + 2z
8($2.50) + 2($4) + 2($2)
$20 + $8 + $4
= $32
Do you need the expanded notation form, or expanded factor form?
So x=-2 after ndjsbdbbegshwoehev
1/2 = 0.5
12 & 1/2 = 12 + 1/2 = 12 + 0.5 = 12.5
4 & 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
Refer to the diagram below. Note how I divided the figure into two rectangles.
The larger red rectangle is 12.5 feet by 10 feet. It has area 12.5*10 = 125 square feet.
The smaller blue rectangle has dimensions 4.5 feet by 5 feet (the 5 is from 15-10 = 5), so it has area 4.5*5 = 22.5 square feet
Now add up those individual areas to get the total area
125+22.5 = 147.5
Then convert that to a mixed number
147.5 = 147 + 0.5 = 147 + 1/2 = 147 & 1/2
<h3>The correct area is 147 & 1/2 feet</h3>
