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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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3 years ago
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Square ABCD is shown with four congruent images such that ABCD FGHI JKLM NOPQ RSTU.
Anettt [7]

Answer:

  • <em><u>RSTU</u></em>

Explanation:

The question states the <em>congruent</em> images:

  • ABCD ≅ FGHI ≅ JKLM ≅ NOPQ ≅ RSTU

The order of the letters matters.

For instance, ABCD ≅ FGHI means that the vertex A is transformed into vertex F, the vertex B is transformed into the vertex G, the vertex C is transformed into vertex H, and the vertex D is transformed into vertex I.

From the images, the square ABCD is just shifted 9 units down to form the square FGHI. No refelection is needed.

As per the square RSTU only a reflection of square ABCE accross the y-axis makes the vertex A into vertex R, the vertex B into the vertex S, the vertex C into the vertex T, and the vertex D into the vertex U.

3 0
3 years ago
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What is the perimeter of a rectangle whose length is M cm and width is 2 cm​
Setler79 [48]

Answer:

2m plus 4

Step-by-step explanation:

mx2=2m

2x2=4

2m plus 4 = 2m plus 4

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4 0
2 years ago
ALGEBRA 1 HELP!!!!<br> •GIVING BRAINLIEST
pickupchik [31]
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So Amount= 50(1+0.1)^3
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3 years ago
What is equivalent to 3 and 1/4 minus negative 5/8
marysya [2.9K]

Answer:

31/8

Step-by-step explanation:

3/1/4 - (-5/8)

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7 0
2 years ago
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