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lana [24]
3 years ago
5

Which statements are true about the parabola represented by the equatlon y = 3x 2 -15x+30​

Mathematics
1 answer:
True [87]3 years ago
3 0
Y = 3x² - 15x + 30
y = 3(x² - 5x) + 30
y = 3(x² - 5x + (5/2)²) + 30
y = 3(x - 5/2)² + 30
The parabola opens upwards. Vertex at (5/2, 30)
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What is the area of the figure? The figure is not drawn to scale.
lora16 [44]
Top triangle((6X9)/2)=27square 7x9=63 parallelogram 7X9=69 right triangle ((7X6)/2)=21 so 27+63+63+21=174
6 0
4 years ago
You and a friend are playing a best-of-three series (first to win 2 games wins the series). You are a stronger player and have a
mariarad [96]

Answer and Step-by-step explanation:

Given that probability of you winning each game = 0.68

And probability of you winning next game = 0.81

Your friend's chance of winning/you losing would be = 1-0.68= 0.32

also his chance of winning next game = 0.73

To find probability that you would win the series given that you need to win two games to win the series

= probability that you win first game and second game+ probability that you win first game, lose second game and win third game + probability that you lose first game, win second game and win third game

= 0.68*0.81+0.68*0.32*0.68+0.32*0.68*0.81

=0.8750

Therefore probability that you would win the series = 0.8750

Note: here we found the probability of winning by adding(or) up the three possible combinations that would result in a win

6 0
3 years ago
Which equation can be used to solve the following word problem?
ra1l [238]
A is definitely the answer.
3 0
3 years ago
Read 2 more answers
A student dropped a textbook from the top floor of his dorm and it fell according to the formula s(t) = −16t 2 + 8√t , where t i
Sidana [21]

Answer:

<h2>-29.61m/s</h2>

Step-by-step explanation:

Given the distance of fall of the student in term of the time t expressed by the equation s(t) = −16t² + 8√t, to get the average speed of fall of the pencil after 2.8 secs, we will need to differentiate the given function first since Velocity is the change in distance of a body with respect to time i.e

V = d(s(t))/dt

s(t) = −16t² + 8t^1/2

V = -32t+1/2(8)t^(1/2 - 1)

V = -32t+4t^-1/2

The average speed of the fall Using the fact that the pencil hit the ground in exactly 2.8 seconds, will be gotten by substituting t = 2.8 into the resulting equation.

V = -32t+4(2.8)^-1/2

V = -32t+4/√2.8

V = -32+4/1.6733

V = -32+2.391

v = -29.61m/s

<em>Hence the average speed of the fall is -29.61m/s</em>

3 0
3 years ago
Convert the following fractions to decimals. 1/8 1/9 2/3 4/7 3/10 5/3 9/5 5/6
il63 [147K]

Answer:

1/8 = 0.125

1/9 = 0.1

2/3 = 0.6

4/7 = 0. 571428

3/10 = 0.3

5/3 = 1.6

9/5 = 1.8

5/6 = 0.83

8 0
3 years ago
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