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katovenus [111]
2 years ago
11

If given the equation y = 3(x + 5)2 - 4, what is the vertex of the parabola

Mathematics
1 answer:
castortr0y [4]2 years ago
5 0

Answer:

The vertex of the parabola is (5, -4).

Hope this helps!

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There are approximately 4.3 million births in a country each year. Find the birth rate in units of births per minute.
Masja [62]

8.18 births per minute

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3 years ago
Peter is 8 years younger than Alex. In 9 years time, the sum of their ages will be 76 . How old is Alex now?
Lera25 [3.4K]

Answer:

Peter is a-8 in 9 years, (a-8)+ 9+ a+ 9= 76

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A group of people were asked if they had run a red light in the last year. 290 responded "yes", and 177 responded "no". Find the
GuDViN [60]

Answer:

0.621

Step-by-step explanation:

Number of people that have run a red light in the last year = 290

Number of people that have not run a red light in the last year = 177

Total number of respondents = 290 + 177

                                                 = 467

Pr(if a person is chosen at random, they have run a red light in the last year) = \frac{number of people who has run the red light last year}{total number of respondents}

                   = \frac{290}{467}

                   = 0.621

The probability that if a person is chosen at random, they have run a red light in the last year is 0.621.

6 0
3 years ago
Applying the Pythagorean Theorem Warm-up What is the value of x? 10 8​
sukhopar [10]

Answer:

<h3>x = 6</h3>

Step-by-step explanation:

According to pythagorean theorem

a² = b² + x²

a is the hypotenuse

b and x are the opposite and adjacent

Let a = 10

b = 8

Substitute and get x:

10² = 8²+x²

x² = 10²-8²

x² = 100-64

x² = 36

x = √36

x = 6

<em>Hence the value of x is 6</em>

<em></em>

8 0
3 years ago
1/8 + 1/4 + 3/8 + 1/2 + 5/8 + 3/4 + 7/8 =
Damm [24]

Answer:

7/2

Step-by-step explanation:

1/8 + 1/4, you must change the denominator so that they are the same.

So that would mean 1/8+ 1/8, but since the denominator for the second one was 1/4 we must multiply the top by 2. So it becomes 1/8+2/8. You then change the denominator for the rest of them like this and it becomes 1/8+2/8+3/8+4/8+6/8+7/8 which simplified equals 7/2.

7 0
3 years ago
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