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Bad White [126]
2 years ago
7

Which of these tables represents a function??

Mathematics
1 answer:
Bumek [7]2 years ago
6 0

Answer:

The first table

Step-by-step explanation:

You have to make sure that x is unique throughout.

First Table: the inputs are 2, 4, 6, 7

each input value is different or unique

Second Table: input values are 3, 5, 3, 5

three and five repeat themselves, so there is not a function

Third Table: input values are -2, 0, 1, -2

negative 2 repeats itself so it is not unique

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A rectangular area of 36 f t2 is to be fenced off. Three sides will use fencing costing $1 per foot and the remaining side will
OLga [1]

Answer:

x = 8,49 ft

y  = 4,24  ft  

Step-by-step explanation:

Let  x be the longer side of rectangle   and  y  the shorter

Area of rectangle     =    36 ft²     36  =  x* y   ⇒ y =36/x

Perimeter of rectangle:

P  =  2x   +   2y    for convinience we will write it as    P  = ( 2x + y ) + y

C(x,y)   =  1 * ( 2x  +  y  )  +  3* y

The cost equation as function of x is:

C(x)  =  2x  + 36/x   + 108/x

C(x)  =  2x  + 144/x

Taking derivatives on both sides of the equation

C´(x)  = 2  - 144/x²

C´(x)  = 0         2  - 144/x² = 0       ⇒  2x²  -144 = 0    ⇒  x² =  72

x = 8,49 ft       y  = 36/8.49    y  = 4,24  ft    

How can we be sure that value will give us a minimun

We get second derivative

C´(x)  = 2  - 144/x²      ⇒C´´(x)  = 2x (144)/ x⁴

so C´´(x) > 0

condition for a minimum

7 0
3 years ago
Tabitha decided to start saving pennies for a stretch of two months and initially started with 2 pennies. A table showing the nu
svetoff [14.1K]

Answer:

  • after week 7: 4374 pennies
  • 486 pennies: after week 5

Step-by-step explanation:

The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...

  an = 6·3^(n-1)

This can be rearranged to ...

  an = 2·3^n

__

When n=7, the value is ...

  a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks

__

To find when there are 486 pennies saved, we can solve the equation ...

  486 = 2·3^n

  243 = 3^n

  log(243) = n·log(3) . . . . . . . take the logarithm

  log(243)/log(3) = n = 5 . . . . divide by the coefficient of n

Tabitha will have saved 486 pennies after 5 weeks.

7 0
3 years ago
After the release of radioactive material into the atmosphere from a nuclear power plant at Chernobyl (Ukraine) in 1986, the hay
a_sh-v [17]

Answer:

$t=26.47$

i took test and got it right

6 0
2 years ago
#5 need help asap will give brainly
DerKrebs [107]

This might help

total surface area Stot = 42.5 ft2

lateral surface area Slat = 30 ft2

top surface area Stop = 6.25 ft2

bottom surface area Sbot = 6.25 ft2

but im thinking they would need 113.7 ft of rapping paper i many be totally wrong tho

4 0
3 years ago
Read 2 more answers
Find each value if f(x) = 2x - 1 and g(x) = 2 - x2.
bixtya [17]
Well i don’t know i just need me pints but sorry i’m so sorry
3 0
3 years ago
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