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4vir4ik [10]
3 years ago
12

Maximum and Minimum Values of General Quadratic Functions

Mathematics
1 answer:
e-lub [12.9K]3 years ago
7 0

Answer:

x=-1

y=15

Step-by-step explanation:

This works because completing the square is essentially demonstrating what g(x)  - where g(x) in this case = x^2 - would have to be translated by to give the function you have.

So by completing the square you have shown that the function you've been given has been shifted to the left by -1, stretched by a factor of 2 along the y axis and shifted up by 15.

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Given that it was less than 80º on a given day, what is the probability that it also rained that day? 0.3 0.35 0.65 0.7
eimsori [14]

The probability that it also rained that day is to be considered as the 0.30 and the same is to be considered.

<h3>What is probability?</h3>

The extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases possible.

The probability that the temperature is lower than 80°F and it rained can be measured by determining the number at the intersection of a temperature that less than 80°F and rain.

So, This number is 0.30.

Hence, we can say that it was less than 80°F on a given day, the probability that it also rained that day is 0.30.

To learn more about the probability from the given link:

brainly.com/question/18638636

The above question is incomplete.

The conditional relative frequency table was generated using data that compared the outside temperature each day to whether it rained that day. A 4-column table with 3 rows titled weather. The first column has no label with entries 80 degrees F, less than 80 degrees F, total. The second column is labeled rain with entries 0.35, 0.3, nearly equal to 0.33. The third column is labeled no rain with entries 0.65, 0.7, nearly equal to 0.67. The fourth column is labeled total with entries 1.0, 1.0, 1.0. Given that it was less than 80 degrees F on a given day, what is the probability that it also rained that day?

#SPJ4

7 0
2 years ago
What is the perfect score between 144 and 169​
madam [21]

Answer:

154

Step-by-step explanation:

if you write down all the numbers in a line then you go from 169 and 144 equally to the middle you would reach 154

5 0
3 years ago
Read 2 more answers
Como me puedes explicar el resultado de 10 times ?
cestrela7 [59]
No entiendo... perdoname 
7 0
3 years ago
HEEEELLLLLPPPPPP PPPPPLLLLLLZZZZZZ
kompoz [17]

Answer:

(6,4)

Step-by-step explanation:

y = x-2

y =4

Set the two equations equal

x-2 =4

Add 2 to each side

x-2+2 = 4+2

x =6

Now we need to find y

y =4

(6,4)

6 0
3 years ago
Read 2 more answers
The yield of orange trees is reduced if they are planted too close together. If there are 30 trees per acre, each tree produces
Tanya [424]

Answer:

5 more than 30 trees should be  planted, for a total of 40 trees per acre.

Step-by-step explanation:

Let x be the number of trees beyond 30 that are planted on the acre

The number of oranges produced = Oranges(x) = (number of trees) (yield per tree)

We are given that For each additional tree in the acre, the yield is reduced by 7 oranges per tree

So, number of oranges produced =(30 + x)(400 -10x)

                                                        = 12000 -300x+400x-10x^2

                                                        = 12000 + 100x-10x^2

The derivative Oranges'(x) = 100-20x

Substitute first derivative equals to 0

100-20x =0

x=5

Using the second derivative test,

Oranges"(x) = -20

20 is negative,

So, this is the case of maximum.

Thus, 5 more than 30 trees should be  planted, for a total of 40 trees per acre.

4 0
3 years ago
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