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Gennadij [26K]
3 years ago
5

Express your answer as a polynomial in standard form.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

(f o g)(x) = -2x² - x + 4

Step-by-step explanation:

f(x) = -x + 6

g(x) = 2x² + x + 2

To find (f o g)(x), you need put g(x) into f(x).

f(x) = -x + 6

(f o g)(x) = -(2x² + x + 2) + 6

(f o g)(x) = -2x² - x - 2 + 6

(f o g)(x) = -2x² - x + 4

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If the farmer has 250 feet of fencing to create a rectangular pen, define a function f that expresses the area of the field (mea
hoa [83]

Answer:

Maximum area possible

f(max)  = 3906,25 ft²

Dimensions:

a  = 62,5  ft

w  = 62,5 ft

Step-by-step explanation:

Perimeter of the rectangular fencing    P  =  250 feet

And sides of the rectangle  a  and  w (width of rectangle)

Then

A =  a*w

2a  + 2w  = 250       ⇒  a  =  (250 -2w)/ 2    ⇒  a = 125 - w

f(w)  =  (125  - w ) *w        f(w)  = 125w - w²  

Taking derivatives both sides of the equation

f´(w)   =  125  - 2w              f´(w)   = 0           125  - 2w = 0

w = 125/2

w = 62,5 ft            ⇒  a = 125 - 62,5

a = 62,5 ft

f(max)  = ( 62,5)²

f(max)  = 3906,25 ft²

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3 years ago
The base of a cube is parallel to the horizon. If the cube is cut by a plane to form a cross section, under what circumstance wo
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Answer:

  A.  when the plane passes through a pair of vertices that do not share a common face

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The only vertices not sharing a common face are the ones at opposite ends of a space diagonal. If the plane intersects both of those, it will contain the space diagonal.

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