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Damm [24]
3 years ago
9

Please hurry

Mathematics
1 answer:
disa [49]3 years ago
6 0

Answer: x

Step-by-step explanation:

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Given (x)=-x²+2x,determine<br> F'(x) using first principle
mote1985 [20]
Hello,
which principle?

f(x)=-x²+2x
==>f'(x)= -2x+2

You mean maybe this

\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}


f(x+h)=-(x+h)²+2(x+h)= -(x²+2hx+h²)+2x+2h
f(x)=-x²+2x

\lim_{h \to 0} \frac{f(x+h)-f(x) } {h}=\lim_{h \to 0}\frac{-2hx-h^2+2h}{h}=\lim_{h \to 0}\frac{-2x-h+2}{1}=-2x+2

6 0
3 years ago
The distance from Jacksonville to Tampa is 171 miles. The distance from Tampa to Miami is 206 miles. Use the triangle inequality
Natali [406]
The triangle inequality theorem states that any side of a triangle is always shorter than the sum of the two other sides. 
That means if you add up the distance from jacksonville to tampa and the distane from tampa to miami, the distance from jacksonville to miami must be less than that. 

171 miles + 206 miles = 377 miles

the distance from jacksonville to miami must be less than 377 miles 
3 0
3 years ago
Monica sells lemonade over the summer and uses conical paper cups to serve
Alina [70]

Answer: She would need 206 paper cups.

Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.

Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;

Volume of a cone = (πr²h)/3

Volume of a cone = (3.14 * 4² * 11)/3

Volume of a cone = 552.64/3

Volume of a cone = 184.2

If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;

Number of cups = Total volume/Volume of a cup

Number of cups = 37850/184.2

Number of cups = 205.48

Rounded to the nearest whole number, this becomes

Number of cups ≈ 206

Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.

4 0
4 years ago
OK my paper says the numerical expression 5+12 represent the sum of 5 and 12. I don't understand
Afina-wow [57]
That literally means the numbers '5' and '12' written like this: 5 + 12

represent the sum of 5 and 12, which is the same as 5 + 12 (because the sum is when all the numbers are added up).

So it's saying 5 + 12 equals to 17. 

Do you get it? 
5 0
3 years ago
Read 2 more answers
Alice bought of a pound of grapes and ate of a pound. How many pounds were left?
vivado [14]
None. She ate the pound she bought.
7 0
3 years ago
Read 2 more answers
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