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3 years ago

What is -3(2x-3)=-15

Mathematics

2 answers:

Oksanka [162]3 years ago

7 0

Answer:

Step-by-step explanation:

-3(2x-3)

-3x(-6)

-3x-6=18 because the negatives cancel each other out.

RUDIKE [14]3 years ago

3 0

Answer:4

Step-by-step explanation:

distribute -3 to both terms and you get -6x+9=-15. next you’ll subtract -15 by 9 and get -24. the equation is now -6x=-24. the final step is to divide -24 by -6 and you’ll get 4

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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

2 years ago

Sharon has a square picture frame with an area

frozen [14]

Answer:

200 inches of ribbon

Step-by-step explanation:

if the formula to finding an area is s²

and we already know that the area is 400, so we divide the area by 1/2 to get the length of each side

8 0

2 years ago

Two sides of a triangle are equal in length. The third side of the triangle is 3 more than the equal sides. If the perimeter of

Inessa [10]

Answer:

Step-by-step explanation:

The two smaller sides are 15 and the larger one is 18

7 0

3 years ago

Read 2 more answers

SOMEONE PLEASE HELP ME WITH THIS KHAN ACADEMY ASSIGNMENT ASAP

Alchen [17]

Answer:

(8,-4)

Step-by-step explanation:

The difference between A and M is 2.5x and -4y

so B would be 5.5+2.5 and 0-4

(8,-4)

4 0

2 years ago

20 men decided to complete a work in 30 days. but after 6 days 8 men left now in how many day the work will be completed

Serga [27]

First, we convert it into a unit like this

20 workers × 30 days = 600 units work

After leaving the 5 workers, we have 35 days to complete the work.

In 35 days only 15 workers will do the work.

So the work completed in 35 days by 15 workers = 35 ×15 =525 units

Remaining unit = 600 -525 =75 units

This unit would do by 5 workers in (75/5) = 15 days.

So after 15 days, 5 workers should leave the job.

6 0

3 years ago