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Katarina [22]
3 years ago
7

Identify the vertex of the parabola.

Mathematics
2 answers:
MariettaO [177]3 years ago
8 0

Answer:

A. (4,3)

Step-by-step explanation:

     The vertex of a parabola is the maximum or minimum point on the graph of the quadratic function aka where you just have "one value" wether than be the very top, the very bottom, etc

In summary:

Here we can see it'll be the very bottom as the parabola is angled upwards.

Looking at the graph, we can see it is 4 units to the right and 3 units up.

The first number is the x, or the right/left, so our first number is 4

The second number is our y, or the up/down, so our second number is 3

This leaves us with the point (4, 3) and an answer of A!

Hope this helps, have a nice day :D

7nadin3 [17]3 years ago
5 0
I think is c be cause I took test
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3 years ago
six people, including A,B, and C, form a queue in a random order (all 6! orderings are equiprobable). Consider the event "B is b
mojhsa [17]

Answer:

There is a 1.39% probability that "B is between A and C in the queue".

Step-by-step explanation:

The first step to solve this problem is find the total number of possible orderings:

The first person of the queue can be any of the six. The second, can be any but the first, so five.

So

There are 6*5*4*3*2*1 = 720 total queue orderings.

Now we find the number of queues that B is between A and C. So:

We have:

B as the second, A as the first and C as the third

B as the second, C as the first and A as the third

B as the third, A as the second and C as the fourth

B as the third, C as the second and A as the fourth

B as the fourth, A as the third and C as the fifth.

B as the fourth, C as the third and A as the fifth.

B as the fifth, A as the fourth and C as the sixth.

B as the fifth, C as the fourth and A as the sixth.

So 8 total outcomes in which B is between A and C.

What is its probability?

P = \frac{8}{720} = 0.0111

There is a 1.11% probability that "B is between A and C in the queue".

6 0
3 years ago
Read 2 more answers
Sara takes 1/6 of an hour to vacuum his moms car it takes 4 times that long to wash the car then it takes you to wax the car twi
Nataly [62]
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3 years ago
Brett is joining a new gym. He can join Power Plus or Heavy Hulk. At Power Plus, it will cost $34.14 per month, plus a sign-up f
Reil [10]

After 19 months, the cost will be same for both memberships.

Step-by-step explanation:

Given,

Sign up fee at Power Plus = $22.00

Per month fee = $34.14

Let,

x be the number of months.

P(x) = 34.14x + 22

Sign up fee at Heavy Hulk = $34.50

As they have cut the cost into half.

Sign up fee = \frac{34.50}{2}=\$17.25

Per month fee = $34.39

H(x) = 34.39 + 17.25

For same cost ;

P(x) = H(x)

34.14x+22=34.39x+17.25\\22-17.25=34.39x-34.14x\\4.75= 0.25x\\0.25x=4.75\\

Dividing both sides by 0.25

\frac{0.25x}{0.25x}=\frac{4.75}{0.25}\\x=19

After 19 months, the cost will be same for both memberships.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/12860445
  • brainly.com/question/12860486

#LearnwithBrainly

7 0
3 years ago
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Provided in the question, total number of people that can be accommodated in the theatre are 471.

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Then, according to the question there are two possibilities. The number of people is less than the total number of People who can be accommodated.

1) \: p + 254 < 471

Or, they can be equal to the number of people.

2) \: p + 254 = 471

Combining both the inequations, We get

\boxed{   p + 254 \leqslant 471}

So, the correct option is Option D

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