The answer to this question would be 1/8 or in decimal form it would be 0.125. hopefully this helps with your question.
Part A: f(t) = t² + 6t - 20
u = t² + 6t - 20
+ 20 + 20
u + 20 = t² + 6t
u + 20 + 9 = t² + 6t + 9
u + 29 = t² + 3t + 3t + 9
u + 29 = t(t) + t(3) + 3(t) + 3(3)
u + 29 = t(t + 3) + 3(t + 3)
u + 29 = (t + 3)(t + 3)
u + 29 = (t + 3)²
- 29 - 29
u = (t + 3)² - 29
Part B: The vertex is (-3, -29). The graph shows that it is a minimum because it shows that there is a positive sign before the x²-term, making the parabola open up and has a minimum vertex of (-3, -29).
------------------------------------------------------------------------------------------------------------------
Part A: g(t) = 48.8t + 28 h(t) = -16t² + 90t + 50
| t | g(t) | | t | h(t) |
|-4|-167.2| | -4 | -566 |
|-3|-118.4| | -3 | -364 |
|-2| -69.6 | | -2 | -194 |
|-1| -20.8 | | -1 | -56 |
|0 | -28 | | 0 | 50 |
|1 | 76.8 | | 1 | 124 |
|2 | 125.6| | 2 | 166 |
|3 | 174.4| | 3 | 176 |
|4 | 223.2| | 4 | 154 |
The two seconds that the solution of g(t) and h(t) is located is between -1 and 4 seconds because it shows that they have two solutions, making it between -1 and 4 seconds.
Part B: The solution from Part A means that you have to find two solutions in order to know where the solutions of the two functions are located at.
The profit earned by the gift shop owner on fifty vases will be $ 91.07.
<h3>What is profit?</h3>
The amount of money earned by any seller on the cost price is called the profit. It is given that A gift shop owner bought fifty vases for $210. she sells seven vases for what she paid for ten originally.
The profit will be calculated as we will create the expressions for all the selling and purchasing given in the question.
The total cost price of vases:-
50 vases = $210
1 Vase = 210 / 50 = 4.25
So 10 vases will be purchased at the price of:-
10 Vase = 4.25 x 10 = 42.5
Now from the question of the amount he paid for 10 vases, he gained it by selling 7 vases.
7 Vase = 42.5
1 Vase = 42.5 / 7 = 6.07
So he sold one vase for $6.07 and purchased it at $4.25.
The profit will be = 6.07 - 4.25 = 1.821
So profit for selling 50 vases will be:-
Profit = 50 x 1.821 = $91.07
Therefore profit earned by the gift shop owner on fifty vases will be $ 91.07.
To know more about profit follow
brainly.com/question/25623677
#SPJ1
Answer:
I think its 30 I'm not 100% sure tho
