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Alla [95]
3 years ago
12

One-fourth of a number increased by thirteen is less than two.

Mathematics
1 answer:
finlep [7]3 years ago
3 0

Answer: x < -44

Step-by-step explanation:

alright my fellow dude gamer, i want you to know that "a number" is basically just x

so lets do this

\frac{1}{4}x + 13 < 2

ok now we are going to solve for x, no?

\frac{1}{4}x < -11

i just subtracted 13 from both sides

now we divide -11 by 1/4

x < -44

MAGIC! ABSOLUTELY FANTASTIC! OH MY GOODNESS AHHHHHHH

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Answer:

Step-by-step explanation:

total time is 5 hr and total distance is 72 nautical miles

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The profit function for a product is given by p(x)=-x^3+3x^2+900x-2100, where x is the number of units produced and sold and P i
nalin [4]

Answer:

x = 30 and x = 3 both solve the equation correctly. See work below.

Step-by-step explanation:

The very first step is to realize that p(x) is in hundreds of dollars and that the given number is not. 60000 is not in hundreds of dollars. It is in dollars. 60000 dollars = 60000/100 = 600 hundreds of dollars.

Make the polynomial = 600

-x^3+3x^2+900x-2100 = 600  Subtract 600 from both sides

-x^3+3x^2+900x-2100 - 600 = 0  Combine

-x^3+3x^2+900x- 2700 = 0           Group  the first and second term and the Thrid and fourth terms.

(-x^2 + 3x^2) + (900x - 2700) = 0  Bring out the common factors from both groups.

-x^2(x - 3) + 900(x - 3) = 0 Factor out x - 3 on both sides of the plus sign

(- x^2 + 900)(x - 3) = 0       Reverse -x^2 + 900 to  900 - x^2

(900 - x^2)(x - 3) = 0          factor (900 - x^2) using the difference of squares

(30 - x)(30 + x) (x - 3) = 0

The two answers that work are

30 - x = 0                           Solve

- x = - 30                            Divide by - 1

-x/-1 = -30/-1                       Combine                          

x  = 30

============

x - 3 = 0

x = 3

===========

There are two values that will work to give p(x) = 600. There is no way to account for why both values work.

The graph below confirms both answers.


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Step-by-step explanation:

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