Answer:
Step-by-step explanation:
Given function is h(t) = -16t² + 1500
a). For h(t) = 1000 feet,
1000 = -16t² + 1500
1000 - 1500 = -16t² + 1500 - 1500
-500 = -16t²
t² = 
t = 
t = 5.59 sec
b). For h(t) = 940 feet,
940 = -16t² + 1500
940 - 1500 = -16t² + 1500 - 1500
-16t² = -560
t² = 
t = 
t = 5.92 sec
c). For domain and range of the function,
When the jumper comes down to the ground,
h = 0
0 =-16t² + 1500
t² = 
t = 
t = 9.68 sec
Since, x-values on the graph vary from x = 0 to x = 9.68,
Domain : [0, 9.68]
Vertex of the quadratic function: (0, 1500)
Since, coefficient of the highest degree term is negative, parabola will open downwards.
Therefore, y-values of the function will vary in the interval y = 0 to y = 1500
Range: [0, 1500]
Answer:
2
Step-by-step explanation:
The slope is the ratio of the vertical difference between two points to the horizontal difference. This ratio is often referred to as "rise over run."
From the point (-2, -1) to the point (2, 7), the rise is 7-(-1) = 8, and the run is 2-(-2) = 4. The ratio of these numbers is ...
slope = rise/run = 8/4
slope = 2
_____
<em>Check</em>
The graph rises 2 units for a run of 1 unit, confirming this calculation.
We are asked to solve for the incremental net income from reworking the phones.
Number of items = 1000
Production Cost = 1000*$60 = $60,000
Salvage value = 1000*$30 = $30,000
Rework Cost = 1000 *80 = $80,000
Price when resold = 1000 * $120 = $120,000
Incremental Net = $120,000 + $30,000 - $60,000 -$80,000
Incremental Net = $10,000
The answer is $10,000.
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
Answer: what do you mean ?
Step-by-step explanation:
