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3 years ago

George has opened a new store and he is monitoring its success closely.

1 answer:

8 0

The correct answer is that the new store will have a profit of $5400 after its fifth month.

Profit is given by subtracting revenue minus cost:
(R-C)(x) = (x²+5x+14)-(x²-4x+5) = x²-x²+5x--4x+14-5 = 5x+4x+14-5=9x+9

Using 5 for x,
(R-C)(5) = 9(5) + 9 = 45+9 = 54

This is in hundreds of dollars, so it represents $5400.

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Step-by-step explanation:

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3 years ago

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3 years ago

Find solution to the system of linear equations. 5x1 + x2 = 0 , 25x1 + 5x2 = 0

Zigmanuir [339]

Answer:

the system of equation has infinite solution

Step-by-step explanation:

$5x_1 + x_2 = 0$ , $25x_1 + 5x_2 = 0$

Solve the first equation for x_2

Subtract 5x1 on both sides

$5x_1 + x_2 = 0$

$x_2 =-5x_1$

Now substitute -5x1 on second equation

$25x_1 + 5x_2 = 0$

$25x_1 + 5(-5x_1)= 0$

$25x_1-25x_1= 0$

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So the system of equation has infinite solution

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3 years ago

Read 2 more answers

I NEED HELP PLEASE!!!! Given a real world problem, can you find the unit rate?

Yuliya22 [10]

Here is an example:

Josh bought 7 apples for $21.

21/7 is 3, so one apple costs $3. This is the unit rate.

21/7 simplifies to 3/1, that’s another way to think about it. Simplify the fraction until the denominator is 1.

Hope this helps! Tell me if you have any questions!

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3 years ago

Solve the linear equation.

Nataliya [291]

$7x+10=\dfrac{1}{3}(12x-3)+14x\qquad\text{use distributive property}\\\\7x+10=\dfrac{1}{3}\cdot12x-\dfrac{1}{3}\cdot3+14x\\\\7x+10=4x-1+14x\\\\7x+10=18x-1\qquad\text{substitute 10 from both sides}\\\\7x=18x-11\qquad\text{subtract 18x from both sides}\\\\-11x=-11\qquad\text{divide both sides by (-11)}\\\\\boxed{x=1}$

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3 years ago