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seraphim [82]
2 years ago
5

ASAPPPPPPPPPPPPPPPPPPP HELP 50 PTS AND BRAINLY EST

Mathematics
2 answers:
horrorfan [7]2 years ago
7 0

answer is 1 1/2

hope it helps...!!!

Free_Kalibri [48]2 years ago
6 0
Highest weight is 4(3/4)
Lowest weight is 3(1/4)

Find the difference:
4[3/4] - 3[1/4]=
Subtract 3 from 4:
4-3 = 1
Subtract the fractions:
3/4 - 1/4 =
2/4=
1/2
Combine:

1[1/2]

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9x-3x(2-4)=6x(3x+4)-6(3x-2)

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Use the graph of the function f(x) - (x + 1)2 + 2. Identify the vertex and<br> the axis of symmetry.
sweet-ann [11.9K]

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Step-by-step explanation:Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

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7 0
3 years ago
Read 2 more answers
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
a child is drawing a rainbow using a box of seventeen different colored crayons , which include the seven required colors.after
kvasek [131]
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7 0
3 years ago
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