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2 years ago

Which represents the polynomial below written in standard form?

Mathematics

2 answers:

Marta_Voda [28]2 years ago

7 0

Answer:

Step-by-step explanation:

I took the test.

STALIN [3.7K]2 years ago

6 0

Answer:

B. $4x^3}+\frac{x^2}{2}-3x+6$

Step-by-step explanation:

The polynomial is $\frac{x^2}{2}-3x+4x^3}+6$

To write in Standard form, the greatest exponent goes first, down to the least.

The greatest exponent is 3, so $4x^3$ goes first.

$4x^3}+\frac{x^2}{2}-3x+6$ is what you end up with

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An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co

Blizzard [7]

Answer:

$(a)$ $C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ $x=82 \text{planes}$

$(c)$ $p=\$30.91 M\;\; \text{per plane}$

$(d)$ maximum profit $=\$ 15.90M$

Step-by-step explanation:

Given that,

The company estimates that the initial cost of designing the aeroplane and setting up the factories in which to build it will be 500 million dollars.

The additional cost of manufacturing each plane can be modelled by the function.

$m(x)=20x-5x^{\frac{3}{4}}+0.01x^2$

$(a)$ Find the cost, demand (or price), and revenue functions.

$C(x)=500+20x-5x^{\frac{3}{4}}+0.01x^2$

$p(x)=320-7.7p$

$R(x)=(320-7.7p)p=320p-7.7p^2$

$(b)$ Find the production level that maximizes profit.

$f=R(x)-C(x)$

$\Rightarrow f=320p-7.7p^2-(500+20x-5x^{\frac{3}{4}}+0.01x^2)$

$\Rightarrow df=320dp-15.4pdp-20dx+5(\frac{3}{4} )x^{\frac{-1}{4} }dx-0.02xdx$

$x=320-7.7p$

$p=\frac{320-x}{7.7}$

$\frac{dp}{dx} = \frac{-1}{7.7}$

$\frac{df}{dx}=\frac{320}{-7.7} -\frac{15.4(320-x) }{7.7(\frac{-1}{7.7} )}-20+5\frac{3}{4} x^{\frac{-1}{4}} -0.02x=0$

$\Rightarrow -41.5584+83.1169-0.2597x-20+3.75x^{\frac{-1}{4} }-0.02x=0$

$\Rightarrow 21.5585+3.75x^{\frac{-1}{4} }-0.279x=0$

$\Rightarrow x=82 \text{planes}$

$(c)$ Find the associated selling price of the aircraft that maximizes profit.

$p=\frac{320-82}{7.7}$

$\Rightarrow p=\$30.91 M\;\; \text{per plane}$

$(d)$ Find the maximum profit.

Manufacturing cost of one plane is:

$m(1)=20-5+0.01$

$=\$15.01 M$

maximum profit $=\$(30.91-15.01)M$

$=\$15.90M$

3 0

3 years ago

Please help!!!!!!!!!

pishuonlain [190]

Answer:

-1 is the remainder

hope it helps

5 0

3 years ago

Oomygawd plz help me with this math hw

aev [14]

Hi There!

------------------------------------------------

Slope Intercept Form: y = mx + b

Where: m = slope and b = y-intercept

------------------------------------------------

Question 11: The slope being 0.5 is the pay for the amount of miles he pays daily.

Question 12: y = 2x + 20

Question 13: y = 25x + 50

Question 14: y = 1/2x + 6

Question 15: y = 2x + 15

------------------------------------------------

Hope This Helps :)

6 0

3 years ago

The diagram shows three squares, PQRS, TUVW and WXYZ.

aivan3 [116]

Answer:

Step-by-step explanation:62+74 - 180

6 0

2 years ago

Can someone please answer this question please help please answer it correctly and please show work please help I need it please

mr_godi [17]

Answer:

Step-by-step explanation:

24)

200= 3(21) + 4x

200= 63 +4x

-63 -63

137= 4x

divide each side by 4

34 = x

25)

.5(pi)= about 1.6

1.6(2.5)= 4

44)

equation- T= 12.17+0.75v

105.75= 12.17 + .75v

-12.17 -12.17

93.58= .75v

divide each side by .75

answer 125

3 0

3 years ago

Read 2 more answers