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Gekata [30.6K]
3 years ago
7

According to the table, which ordered pair is a local minimum of the function, f(x)? (0, 9) (4, 105) (–1, 0) (2, –15)

Mathematics
2 answers:
Lina20 [59]3 years ago
8 0
D. is the correct answer (2,-15)
max2010maxim [7]3 years ago
6 0

Answer:

(2,-15 ) is local minimum.

Step-by-step explanation:

A function has local minimum at x if  f(x) gives minimum value at that point and  the points around it.

here we can see that values given for y  f(x) are 9,105,0,-15 respectively out of which -15 is minimum which gives local minimum value for the given function.

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suppose a farmer encloses a rectangular region of a land next to a river. fencing will be used on 3 sieds, and none is needed al
nexus9112 [7]

Answer:

Dimensions :

x (the longer side, only one side with fence )   =  90  ft

y ( the shorter side two sides with fence )        =  45  ft

Total fence used   45 * 2  +  90    =  180 ft

A(max)  =  

Step-by-step explanation: If a farmer has 180 ft of fencing to encloses a rectangular area with fence in three sides and the river on one side, the farmer surely wants to have a maximum enclosed area.

Lets call "x" one the longer side  ( only one of the longer side of the rectangle will have fence, the other will be along the river and won´t need fence. "y" will be the shorter side

Then we have:

P = perimeter  =  180  =  2y  +  x        ⇒   y  =  ( 180 - x )  / 2        (1)

And   A (r)   =  x * y

A(x)   =  x  *  ( 180 - x ) /2       ⇒   A(x)   = (180/2) *x   -  x² / 2

Taking derivatives on both sides of the equation :

A´(x)   =  90   -  x    

Then if    A´(x)   =  0   ⇒        90   -  x    =  0     ⇒   x  =  90 ft

and from :       y  =  ( 180 - x )  / 2     ⇒     y  =  90/2

y  =  45  ft

And

A(max)  =  90 * 45    =  4050  ft²

4 0
3 years ago
Rewrite in simplest terms: -4(5v – 3v – 6) – 9v
julsineya [31]

Answer:

-4 (5v -3v -6) -9v (use the distributive property)

-20v +12v +24 -9v (combine all like terms)

-17v +24

3 0
2 years ago
Read 2 more answers
|y-9|=6<br><br><br>a. y=-15, y=-3<br><br>b. y=-15, y=15<br><br>c. y=3, y=15<br><br>d.y=-3, y=3
ELEN [110]
I hope you get it.
Be safe!

4 0
3 years ago
The radius of the circle on a basketball court is 6 ft. What are the approximate circumference and area of the circle?
Andrei [34K]

ANSWER:

Circumference= 37.7

Area= 113.1

5 0
2 years ago
You are looking at comparable houses with the same asking prices in neighboring towns. The mill rate in the first town is 20 mil
zalisa [80]
C) is the answer!!!!!!!
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