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VMariaS [17]
3 years ago
6

URGENT!!!

Mathematics
1 answer:
VladimirAG [237]3 years ago
3 0

Answer:

(-2,0)

Step-by-step explanation:

i did it in my head im not so sure

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A store gives a customer 20% off if $10 or more amount of product is purchased. Otherwise the customer pays the usual price at c
Nadya [2.5K]

Answer:

The expected payment by the customer at the checkout is $9.

Step-by-step explanation:

The amount of the product is given as

f(x)=\left \{ {{\frac{50}{x^3}       \,\,\,\,\, x\geq 5 } \atop {0}} \right.

Now the expected payment is given as

EP=\int\limits^{10}_{5} {x f(x)} \, dx +\int\limits^{\infty}_{10} {0.8x f(x)} \, dx

Here 0.8 x is used in the second integral because of the discount of 20% i.e. the expected price is 80% of the value such that

\\EP=\int\limits^{10}_{5} {x \frac{50}{x^3}} \, dx +\int\limits^{\infty}_{10} {0.8x \frac{50}{x^3}} \, dx\\\\EP=\int\limits^{10}_{5} {\frac{50}{x^2}} \, dx +\int\limits^{\infty}_{10} {\frac{40}{x^2}} \, dx\\EP=[\frac{50}{-x}]_5^{10} +[\frac{40}{-x}]_{10}^{\infty} \\EP=[\frac{-50}{10}+\frac{50}{5}] +[\frac{-40}{\infty}+\frac{40}{10}]\\\\EP=-5+10+0+4\\EP=9

The expected payment by the customer at the checkout is $9.

8 0
3 years ago
Sometimes subtraction involves borrowing. <br><br> true or false
Sergio [31]

Answer:

true

Step-by-step explanation:

7 0
2 years ago
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It takes 27 pounds of seed to completely plant a 3-acre field. How many pounds of seed are needed per acre?
Ray Of Light [21]

Answer:

9 pounds of seed per acre.

Step-by-step explanation:

All you have to do is division.  It takes 27 pounds of seed to make 3 acres, so 27 divided by 3.  That gives you 9.

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Answer:

A

Step-by-step explanation:

The solution to these two graphs will be when they are equal. Therefore:

x^3+3=x^2+2 \\\\x^3-x^2+1=0 \\\\x\approx -0.755\approx -\dfrac{13}{16}

Hope this helps!

7 0
3 years ago
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» What is Mary's running speed in<br> miles per hour?<br> 10/2 = ?
defon
The answer is 5 because 10 divided by 2 is 5
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2 years ago
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