Answer:
The correct option is;
Domain: [1.8, 12.76]
Range: [0, 590.90]
Step-by-step explanation:
The given function is h(t) = -4.92·t² + 17.69·t + 575
The maximum height reached is found from equating the derivative of the function to 0 as follows;
d(h(t))/dt = d(4.92·t² + 17.69·t + 575)/dt = -2×4.92·t + 17.69
d(h(t))/dt = 0 gives;
-2×4.92·t + 17.69 = 0
-9.84·t + 17.69 = 0
-9.84·t = -17.69
t = -17.69/-9.84 = 1.79 ≈ 1.8
h(1.8) = -(4.92×1.8²) + 17.69×1.8 + 575 = 590.9
Also we have from equating the function to zero
h(t) = -4.92·t² + 17.69·t + 575 = 0
(t - 12.75)(t + 9.2) = 0
Therefore, when t = 12.76 h(t) = 0,
Therefore, we have; the domain which is the set of values of the independent variables is [1.8, 12.76]
The range = [0, 590.90].
Answer:
21 kids have to go on the trip to make the museum a better deal
Step-by-step explanation:
Zoo: y=10x+100
Museum: y=5x+200
10x+100=5x+200
5x=100
x=20
When 20 kids go on trip the costs will be the same. Therefore, once 21 kids go the museum will be cheaper then the zoo as it is increasing at a rate of 5 dollars
Answer:
Step-by-step explanation:
Basically you turn 1/2 into fourths, 1/2 = 2/4
After that you would multiply 4 2/4 x 2 1/4
Then you get 10.125 turned into a fraction is 81/8
Let U=(1,2,3,4,5,6,7,8) A={1,3,5,7} B={1,3,5,7} C={5,8} D={2,5,8}. What is the subset
nikitadnepr [17]
U={1,2,3,4,5,6,7,8}; A={1,3,5,7} = B; C={5,8}; D={2,5,8}
All are subset of U
A is a subset of B & vice versa
C is a subset of D, but neither C nor D are subset of A or B
25% off translates into 0.25($30) = $7.50 off.
A faster way to determine the sales price is to subtract 0.25 from 1.00 and then mult. the regular price by the result: sales price = 0.75($30) = $22.50 (answer)
