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VladimirAG [237]
3 years ago
11

F(x)=8_-4x-x^3. g(x)=x^2+7x-9. Find f(x)+g(x)

Mathematics
1 answer:
11111nata11111 [884]3 years ago
7 0

(8 - 4x -  {x}^{3} ) + ( {x}^{2}  + 7x - 9) \\  =  -  {x}^{3}  +  {x}^{2}  - 4x + 7x + 8 - 9 \\  =  -  {x}^{3}  +  {x}^{2}  + 3x - 1
(8x - 4x -  {x}^{3} ) + ( {x}^{2}  + 7x - 9) \\  -  {x}^{3}  +  {x}^{2}  + 8x - 4x + 7x - 9 \\  -  {x}^{3}  +  {x}^{2}  + 11x - 9
The answer is either B, and you forgot to put in the ^2 in the answer choice, or C, and you forgot to put an x where there is a _ in the question.

Check the actual question (the one you recieved, not the one posted here) and see where the mistakes are. If f(x) = 8x - 4x - x^3, then your answer is C. However, if B is actually -x^3 + x^2 + 3x - 1, then the answer is B.
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Answer:

Length= 19cm

Width= 9cm

Step-by-step explanation:

let the length of the rectangle be L cm and its width be W cm.

Perimeter of rectangle= 56cm

2L +2W= 56

L +W= 56 ÷2

L +W= 28

L= 28 -W -----(1)

Area of rectangle= length ×width

LW= 171 -----(2)

Susbt. (1) into (2):

W(28 -W)= 171

28W -W²= 171 <em>(</em><em>expand</em><em>)</em>

W² -28W +171= 0 <em>(</em><em>bring</em><em> </em><em>everything</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em>)</em>

(W -19)(W-9)= 0 <em>(</em><em>factorise</em><em>)</em>

W-19=0 or W-9=0

W= 19 or W= 9

Subst into (1):

L=28 -19 or L= 28 -9

L=9 or L= 19

Since we usually take the longer side of the rectangle to be its length, L= 19 and hence W=9.

Therefore its length is 19cm and its width is 9cm.

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The problem in the picture would be
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