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larisa [96]
3 years ago
12

The shipping cost for an on-line company increases exponential based on the number of dollars the consumer has spent. It can be

represented by the equation y = 0.003(2)x where x represents every $10 spent. Shipping charges will max out at $20. The company has decided that they need to add a base shipping charge of $5. What will this new function be?
Mathematics
1 answer:
enot [183]3 years ago
8 0

Answer:

y = 5 + 0.003(2^{x})

Step-by-step explanation:

If a base shipping charge of $ 5 is collected, it means that regardless of the amount of money spent, a base payment of $ 5 must be made for the shipment. Therefore the graph of the exponential function must move 5 units up on the positive y axis. Your new cutoff point with the positive y axis will be y = $ 5.003

Therefore, the new function that represents the shipping cost will be:

y = 5 + 0.003(2^{x})

with x \leq 20

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3 years ago
Lim x>-1 x^2-x-2/x+1
antiseptic1488 [7]

Answer:

-3

Step-by-step explanation:

If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.

In this case, factoring the polynomial at the top would be helpful.

The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)

The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:

-1-2 = -3

Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.

I hope this helped you.

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4 years ago
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6 0
3 years ago
Read 2 more answers
Answer choices:<br>A (3 , -4)<br>B (4 , -7/2)<br>C (-5 , 8)<br>D (5/2 , -17/4)​
zhuklara [117]

Answer: D (5/2, -17/4)

Step-by-step explanation:  Using elimination your goal is to get rid or 1 variable  so you can solve for the one that's left.  By adding the -2y and 2y you will get 0.  You will also add the 3x+x (4x) and -1+11 (10).  You have now gotten rid of the y and have 4x=10.  By dividing each side by 4 we now know x =2.5.  D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11

                                                                           2.5-2y=11

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3 years ago
Three times the difference of a number and nine.​
Nikitich [7]

Answer:

3*x-9

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6 0
3 years ago
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