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Reika [66]
3 years ago
7

Consider functions f and g. f(x)=3 x+1What is the value of f(g(1))

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0

Step-by-step explanation:

f(1)=(3×1)+1=4

so f(g(1)=4

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the figure below has an volume of 108^3 in and a height of 9 in. what are the possible dimensions of the base?
Alenkinab [10]

Area of base

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  • 108/9
  • 12in²

So possible dimensions are optionB given

  • 1/2BH
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Verified

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2 years ago
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Which number number is equal to |-12|-|-3| ?
Vera_Pavlovna [14]
9 because the symbols around -12 and -3 so they would just become positive number 12 and 3. Subtract them and you get 9 :)
6 0
2 years ago
What is true of the data in the dot plot? Check all that apply.
Archy [21]

Answer:

B, D,

Step-by-step explanation:

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  • 1 has 8 dots
  • 2 has 7 dots
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  • 5 has 1 dot

Total number of dots: 23 =>

The center is 2 Wrong

The center is 1.5. True

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Hope it will find you well.

4 0
3 years ago
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List the four facter of 10 factor pairs
LenaWriter [7]
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4 0
2 years ago
An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

V(x)  =  4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

Sides of the box

L = 8 - 2x    ⇒  L = 8 - 2*(0.67)   ⇒  L  = 8  - 1.34    ⇒  L = 6.66 cm

D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0
3 years ago
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