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brilliants [131]
2 years ago
8

A company is using the first two years of its profits to predict what will happen in the future. The profit, p(x), in millions,

can be modeled by
the function p(x) =x^2 + 4x + 5, where x, represents the number of years after 2020



- In what year did the company have the largest profit and what was the amount?
Mathematics
1 answer:
Blababa [14]2 years ago
3 0

Answer:

2022

9 million

Step-by-step explanation:

p(x) =-x^2 + 4x + 5

To find the value of x when the maximum profit occurs, differentiate the function:

\implies p'(x)=-2x+4

set it to zero and solve for x:

\implies p'(x)=0

\implies -2x+4=0

\implies x=2

Therefore, the year in which the company had its largest profit was

2020 + 2 = 2022

Input found value of x into the function:

p(2) =-(2)^2 + 4(2) + 5=9

Therefore, the amount was 9 million

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Answer:

see explanation

Step-by-step explanation:

(1)

x + 20 and 45 are vertically opposite angles and are congruent, so

x + 20 = 45 ( subtract 20 from both sides )

x = 25

Similarly 5y and 135 are vertically opposite angles and are congruent

5y = 135 ( divide both sides by 5 )

y = 27

(2)

x + 30 and 70 are vertically opposite angles and are congruent, then

x + 30 = 70 ( subtract 30 from both sides )

x = 40

Similarly y + 50 and 110 are vertically opposite and congruent , so

x + 50 = 110 ( subtract 50 from both sides )

x = 60

6 0
2 years ago
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Please help!!! ive been stuck on this for 30 minutes now!
max2010maxim [7]

Answer:

f^-1 = 4(x-3)

Step-by-step explanation:

If f(x) = 1/4(x) + 3 we ned to find f^-1.

To find the inverse function, we need to solve the equation for "x", as follows:

f(x) = 1/4(x) + 3

y = 1/4(x) + 3

y-3 = 1/4(x)

4(y-3) = x

Now, change the "x" for an "y". And change the "y" for an "x":

4(x-3) = y

The solution is the last one.

7 0
3 years ago
Use the Ratio Test to determine whether the following series converges or diverges.
Dafna1 [17]

Answer:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

[4,6)

(4,6)

[4,6]

Correct answer:

(4,6)

Explanation:

Step-by-step explanation:

Find the interval of convergence of the following series

Possible Answers:

(4,6)

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8 0
1 year ago
The length of the segment from a point c _____ to the line AB gives the distance from point c to the line ab brainly
guapka [62]

Answer:

A. Perpendicular

Step-by-step explanation:

When lines and/or points are in perpendicular to one another, the perpendicularity line between them measures the distance between both points and/or lines.

So to measure the distance between point c and line AB, a perpendicular line has to be drawn from c to AB or from AB to c. Either of these will arrive at the same result.

It should also be noted that the angle at the point of intersection of perpendicular lines is 90°.

7 0
3 years ago
Brittany buys 2.55 pounds of turkey for $5.96 per pound and 3.7 pounds of
Galina-37 [17]

Answer:

Brittany needs another $3.7405.              

Step-by-step explanation:

Per pound Cost of turkey = $5.96 per pound

The amount Brittany buys the turkey = 2.55 pounds

Brittany's cost for turkey = 2.55 × $5.96 = $15.198

Per pound cost for cheese = $3.35 per pound

The amount Brittany buys the cheese = 3.7 pounds

Brittany's cost for cheese = 2.55 × $3.35 = $8.5425

So,

Brittany's total cost = Turkey cost + Cheese cost

                                = $15.198 + $8.5425

                                = $23.7405

As brittany gave the clerk 20 dollars.

So, the amount she further needs will be:

$23.7405 - $20 =  $3.7405

Therefore, Brittany needs another $3.7405.                                                                      

8 0
3 years ago
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