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Delvig [45]
3 years ago
5

Find the vertex of this function. Is it a maximum or a minimum? y=-3(x + 4)2 + 2

Mathematics
1 answer:
Vika [28.1K]3 years ago
8 0

Step-by-step explanation:

The equation given is of the form

y = a(x - h)^2 + k

where (h, k) are the coordinates of the vertex. So in this case, the vertex is located at (4, 2). Since a is a negative number (a = -3), this means that the vertex is a maximum because the parabola opens downward.

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Enter the correct number<br> 1/5 of 35 bottles of water =
Alex777 [14]

Answer:

7

Step-by-step explanation:

you divide the 35 by 1/5 to get 7 bottles of water

7 0
2 years ago
Read 2 more answers
Suppose that 20% of the employees of a given corporation engage in physical exercise activities during the lunch hour. Moreover,
Harlamova29_29 [7]

Answer:

a) 0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

b) 0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

Step-by-step explanation:

Question a:

20% of employees engage in physical exercise.

This 20% is composed by:

8% of 60%(males)

x% of 100 - 60 = 40%(females).

Then, x is given by:

0.08*0.6 + 0.4x = 0.2

0.4x = 0.2 - 0.08*0.6

x = \frac{0.2 - 0.08*0.6}{0.4}

x = 0.38

0.38 = 38%

Probability of being a female who engages in exercise:

40% are female, 38% of 40% engage in exercise. So

0.38*0.4 = 0.152

0.152 = 15.2% probability that this person is a female who engages in physical exercise activities during the lunch hour.

B. If we choose an employee at random from this corporation,what is the probability that this person is a female who does not engage in physical exercise activities during the lunch hour?

40% are female, 100% - 38% = 62% of 40% do not engage in exercise. So

0.62*0.4 = 0.248

0.248 = 24.8% probability that this person is a female who does not engage in physical exercise activities during the lunch hour.

3 0
3 years ago
Meg loves to read. Her favorite author is Dr. Seuss. For every 11 books Meg owns 8 are Dr. Seuss books. If Meg has 40 Dr. Seuss
ANTONII [103]

Answer:

Step-by-step explanation:

if the ratio is 8:11 then 40:x

Cross multiply

8    40

11    x

8x=440

And divide by 8

x=55. She has 55 books

8 0
3 years ago
One number is 3/8 of another number. The difference of the two numbers is 4.2. What is the lesser number
boyakko [2]

Answer:

2.52.

Step-by-step explanation:

If one number is x then the other = 3x/8.

Also x - 3x / 8 = 4.2

x - 0.375 x = 4.2

0.625x = 4.2

x = 4.2 / 0.625

x = 6.72.

So the lesser number is 6.72 * 0.375 = 2.52.

4 0
3 years ago
In triangle NQL, point S is the centroid, NS = (x + 10) feet, and SR = (x + 3) feet.
olya-2409 [2.1K]
Where R is the median between Q and L:

From my understanding of a triangle's centroid, it divides an angle bisector into parts of 2/3 and 1/3. In the given problem, these divisions are NS and SR. Therefore, twice SR would be equal to NS. From here, we can get the value of X, to solve for SR.

NS = 2SR
(x + 10) = 2(x + 3)
x + 10 = 2x + 6
x = 4

Therefore, SR = (x + 3) = 7
4 0
3 years ago
Read 2 more answers
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