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3 years ago

+ 2+1 Which function in vertex form is equivalent to J (2) = x

Mathematics

1 answer:

stepladder [879]3 years ago

8 0

Answer: + 2+1

Which function in vertex form is equivalent to J (2) = x

Step-by-step explanation:

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A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with

AleksAgata [21]

Answer:

P (T) = 1/4

P ( T | F ) = 1/2 = P(F)

The events are not independent.

Step-by-step explanation:

Let F the event of picking the white ball first

P (F)= 1/2 ( picking the white ball first)

Let T be the event of getting the white ball twice,

P (T) = P( getting white ball) * P( getting white ball)

=( 1/2)*(1/2)

= 1/4

Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.

P ( T | F ) = P (T∩F)/ P(F)

= (1/4)/ (1/2)

= (1/2)

= 1/2 = P(F)

For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).

Hence the events are not independent.

4 0

3 years ago

given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q

ipn [44]

Answer:

a)the weekly profit as a function of price is $P=-10 p^2 + 600 p - 6500$

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

Step-by-step explanation:

The weekly demand curve of a local wine producer is p= 50-0.1q

p = price

q = quantity

Revenue function R =Price \times Quantity

R=(50-0.1q)q

$R=50q-0.1q^2$

Cost function: c= 1500+ 10q

Profit function=R(x)-C(x)

Profit function= $50q-0.1q^2-1500-10q$

Profit function= $40q-0.1q^2-1500$ ----1

We have q = 500 - 10 p using p = 50 − 0.1q

$P=-0.1 (500 - 10 p)^2 + 40 (500 - 10 p)- 1500\\P= -10 p^2 + 600 p - 6500$

General quadratic equation: $ax^2+bx+c=0$

On comparing

a = -0.1 , b = 40 , c = -1500

Maximum Profit is at q = $\frac{-b}{2a}=\frac{-40}{2(-0.1)}=200$

To find price must a bottle of wine be sold to realise maximum profit

p= 50-0.1q

p= 50-0.1(200)=30

Substitute the value of q in profit function(1) get the maximum profit

So, Profit function= $40\left(200\right)-0.1\left(200\right)^{2}-1500=2500$

Hence

a)the weekly profit as a function of price is $P=-10 p^2 + 600 p - 6500$

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

8 0

3 years ago

23 x 5 + 6 x 50 -7 = ?

Marysya12 [62]

Answer: Your anwser would be 408 please mark brainliest thank you

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

You roll a single die numbered from 1 to 6. What are the odds of rolling a 3

vodomira [7]

Answer:

1/6

Step-by-step explanation:

there are 6 numbers on a die, and only one of them is 3.

so you would get 1/6 (because only one number out of 6 is 3)

8 0

3 years ago

The tortoise and the hare agree to a re-match. As they begin the race, the tortoise plods along slowly but confidently at 2 ½ mp

Lorico [155]

The tortoise ran a distance of 1.875 miles

The distance traveled or covered is obtained using the relation :

Distance = speed × time

Using the the time it took the hare to reach the finish line:

Time taken = 45 minutes (3/4 hours)

The speed of the tortoise = 2 1/2 mph = 2.5mph

Hence, the distance covered by the tortoise :

(2.5 mph × 3/4 hours) = 1.875 miles

The distance covered by the tortoise is 1.875 miles

Learn more : brainly.com/question/18109354

6 0

3 years ago