All categories

3 years ago

Expand -X(-5-4x) + 2(10x+3)

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

3 0

Answer:

4x^2 + 25x + 6

Step-by-step explanation:

-x(-5-4x) + 2(10x+3)

5x + 4x^2 + 20x + 6

4x^2 + 25x + 6

You might be interested in

There are 18 stores in California and 12 stores in Nevada the shops opens 10 new stores some are in California, and some are in

Rzqust [24]

That means there would be 28 in California and still 12 in Nevada or if California takes from Nevada it would be California 28 and Nevada 2

4 0

3 years ago

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by

11111nata11111 [884]

Answer:

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is 8.217 cubic inches.

Step-by-step explanation:

Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.

To find : The dimensions and the volume of the open rectangular box ?

Solution :

Let the height be 'x'.

The length of the box is '11-2x'.

The breadth of the box is '7-2x'.

The volume of the box is $V=l\times b\times h$

$V=(11-2x)\times (7-2x)\times x$

$V=4x^3-36x^2+77x$

Derivate w.r.t x,

$V'(x)=4(3x^2)-2(36x)+77$

$V'(x)=12x^2-72x+77$

The critical point when V'(x)=0

$12x^2-72x+77=0$

Solve by quadratic formula,

$x=\frac{18+\sqrt{93}}{6},\frac{18-\sqrt{93}}{6}$

$x=4.607,1.392$

Derivate again w.r.t x,

$V''(x)=24x-72$

Now, $V''(4.607)=24(4.607)-72=38.568>0$ (+ve)

$V''(1.392)=24(1.392)-72=-38.592$ (-ve)

So, there is maximum at x=1.392.

The length of the box is $l=11-2x$

$l=11-2(1.392)=8.216$

The breadth of the box is $b=7-2x$

$b=7-2(1.392)=4.216$

The height of the box is h=1.392.

The dimension of the open rectangular box is $8.216\times 4.216\times 1.392$ .

The volume of the box is $V=l\times b\times h$

$V=8.216\times 4.216\times 1.392$

$V=48.217\ in.^3$

The volume of the box is 8.217 cubic inches.

5 0

3 years ago

A patio of a house is 16 feet by 12 feet. The area of the patio is square feet.

Vera_Pavlovna [14]

Answer:

192

Step-by-step explanation:

16 * 12 = 192 square feet

brainliest please??

3 0

3 years ago

Read 2 more answers

desmond frabracates a tiny microchip it is squre in shape messuring 7.5 millimeters on each side. draw desmond chip to scale on

kolezko [41]

Answer: 15 by 15 units

Step-by-step explanation: brainliest plz and ty

5 0

3 years ago

marc had 6n marbles. he gave 9 marbles to each of his cousins and had 4n marbles left. find how many cousins marc had in terms o

Vilka [71]

Answer:

9c=2n

Step-by-step explanation:

6n-9c=4n.

9c=2n

3 0

2 years ago

Read 2 more answers

Expand -X(-5-4x) + 2(10x+3)​

Expand -X(-5-4x) + 2(10x+3)