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3 years ago

75 points and I’ll give brainlyist and pleas show work

Mathematics

2 answers:

IRISSAK [1]3 years ago

8 0

Answer:

1. y<-2 2. x≤5 3. 0<23 4. 0 ≤ -1 5. inequality: 3 + (7x) < 24 answer: x<3

Step-by-step explanation:

Ymorist [56]3 years ago

7 0

1. 7 - 6y > 9

7 - 6y > 9

Subtract 7 from both sides

-6y > 19 - 7

Subtract 7 from 19 to get 12

-6y > 12

Divide both sides by -6 (because the 6 is negative, the direction of the inequality is changed)

y < 12/-6

Divide 12 by -6 to get -2

y < -2 (graph this on the number line)

2. 2(x+2) - 3x ≥ -1

2 (x+2) - 3x ≥ -1

Use the distributive property to multiply 2 by x+2

2x + 4 -3x ≥ -1

Combine 2x and -3x to get -x

-x + 4 ≥ -1

Subtract 4 from both sides

-x ≥ -1 - 4

Subtract 4 from -1 to get -5

-x ≥ -5

Divide both sides by -1 (again because the 1 is negative, the direction of the inequality is changed)

x ≤ -5/-1

The fraction can be simplified to 5 by removing both negative signs

x ≤ 5 (graph this on the number line)

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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

Marco has a collection of 437 bottles. Each month he buys 32 bottles .

Katarina [22]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Side note: It’s ratio math

Elanso [62]

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5 0

3 years ago

Which expression is equivalent to j (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j) (j)?

Ahat [919]

Answer:

j^13

Step-by-step explanation:

3 0

3 years ago

I REALLY NEED HELP ASAP

guapka [62]

The Correct option is -4

because every other terms result in value = 4, where's -4 is the only different one hence doesn't belongs yo other three

6 0

3 years ago