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2 years ago

Which of the following parabolas opens down?

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

3 0

ANSWER

The correct answer is C.

EXPLANATION

The directrix of the parabolas are parallel to the x-axis.
This means that, the orientation of the parabola is parallel to the y-axis.
We compare the focus and the directrix to determine whether the parabola opens downwards or upwards.
If the directrix is above the focus, then the parabola opens downwards.
On the other hand if the directrix is below the focus , then the parabola must open upwards.
If you look at option C, y=-2 isthe directrix. The focus is (3,-5). Since the the y-value of the focus , -5 is less than y=-2 which is the directrix, this parabola must open down.

The correct answer is C.

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Answer:

a) 0.07203

b) 0.0189

c) 0.973

Step-by-step explanation:

Probability of making one shot, for the player = 70% = 0.70

Probability of NOT making a shot = 1 - 0.70 = 0.30

Assuming that the shots are independent

a) Misses for the first time on his fifth attempt

For him to miss on his for the first time on his fifth attempt, he has to make the first four shots

The required probability = (0.7)⁴(0.3) = 0.07203

b) Makes his first basket on his fourth shot

For him to make his first basket on the fourth shot, he has to miss the first three shots.

Required probability = (0.3)³(0.7) = 0.0189

c) Makes his first basket on one of his first 3 shots

This is a sum of probabilities; that is, he could make the first basket on the first shot, or miss on the first shot and make the second shot or miss on the first two shots and make the basket on the third shot.

Required probability

= (0.70) + (0.3×0.7) + (0.3×0.3×0.7)

= 0.70 + 0.21 + 0.063 = 0.973

Hope this Helps!!!

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2 years ago

Consider this equation: -2x - 4 + 5x = 8 Generate a plan to solve for the cariable. Describe the steps that will be used.

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We are given the function –2x – 4 + 5x = 8 and is asked in the problem to solve for the variable x in the function. In this case, we can first group the like terms and put them in their corresponding sides:

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Then, do the necessary operations.

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2 years ago

7. If SK = 13x - 5, KY= 2x + 9, and SY = 36-x, find each value.

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Answer:

SY=34, SK=21 and KY=13

Step-by-step explanation:

we have that

SY=SK+KY

substitute the given values

(36-x)=(13x-5)+(2x+9)

solve for x

36-x=15x+4

15x+x=36-4

16x=32

x=2

Find the value of SY

SY=(36-x)=36-2=34

Find the value of SK

SK=(13x-5)=13(2)-5=21

Find the value of KY

KY=(2x+9)=2(2)+9=13

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2 years ago

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Answer:

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2 years ago

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This question is incomplete because it lacks the appropriate figure. Find attached to this answer the diagram of the figure.

Answer:

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2 years ago