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3 years ago

What is the the vertex of the parabola (y−1)2=24(x+2) ? (-2,1) (2,-1) (2,1) (1-2)

Mathematics

1 answer:

alexgriva [62]3 years ago

5 0

Answer:

The vertex is (-2,1)

Step-by-step explanation:

The standard equation for the parabola is 4p(x-h)=(y-k)^2

Rewrite (y-1)^2=24(x+2) in standard form

4*6(x-(-2))=(y-1)^2

Therefore parabola properites are:

(h,k)=(-2,1)

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Choose the equation that represents the graph.

Sergeu [11.5K]

Answer:

y=-2x-4

Step-by-step explanation:

y=mx+b

count the slope (-2/1)

find the y-intercept(0,-4)

write it out (-2/-1)x-4

simplify (-2x-4)

7 0

3 years ago

Read 2 more answers

Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and room

coldgirl [10]

Answer:

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

Step-by-step explanation:

Independent events:

If two events are independent, the probability of both happening is the multiplication of their probabilities.

Rock-paper-scissors rules:

A player that choose rocks beats one who chooses scissors.

A player that choose paper beats one who chooses rocks.

A player that choose scissors beats one who chooses paper.

Probability that roommate A wins the game and thus does not have to wash the dishes.

3 possible events:

Roommate A - Rocks(21% of the time) and Roommate B - Scissors(18% of the time)

$p_R = 0.21*0.18 = 0.0378$

Roommate A - Paper(39% of the time) and Roommate B - Rocks(61% of the time).

$p_P = 0.39*0.61 = 0.2379$

Roommate A - Scissors(40% of the time) and Roommate B - Paper(21% of the time).

$p_S = 0.4*0.21 = 0.084$

Probability of roommate A winning:

$p = p_R + p_P + p_S = 0.0378 + 0.2379 + 0.084 = 0.3597$

0.3597 = 35.97% probability that roommate A wins the game and thus does not have to wash the dishes.

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3 years ago

A study was conducted to determine whether there were significant differences between medical students admitted through special

Mekhanik [1.2K]

Answer:

$P(X\geq 9)=P(X=9)+P(X=10)$

And using the probability mass function we got:

$P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383$

$P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402$

And replacing we got:

$P(X \geq 9) = 0.383 +0.402= 0.785$

Step-by-step explanation:

Let X the random variable of interest "number of students graduated", on this case we now that:

$X \sim Binom(n=10, p=0.913)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

We want to find the following probability:

$P(X\geq 9)=P(X=9)+P(X=10)$

And using the probability mass function we got:

$P(X=9)=(10C9)(0.913)^9 (1-0.913)^{10-9}=0.383$

$P(X=10)=(10C10)(0.913)^{10} (1-0.913)^{10-10}=0.402$

And replacing we got:

$P(X \geq 9) = 0.383 +0.402= 0.785$

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4 years ago

Solve 3x2 + 4x = 2. (2 points)

guajiro [1.7K]

Answer:

The answer is (-2±√10)/3

Step-by-step explanation:

so if it is 3x^2+4x=2 then

set one side to zero

subtract 2 from both sides

3x^2+4x-2=0

this is not factorable by normal means so use quadratic formula which is if you have the equation in ax^2+bx+c=0 form you can solve for x if you put it into this equation quadratic formula so if you were to input it into this equation you would get

a=3

b=4

c=-2

the solution is: (-2±√10)/3

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3 years ago

Y’all what is 1/7=1/7x-3

exis [7]

Answer:

x=22

Step-by-step explanation:

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3 years ago