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4 years ago

Multiply (3x2-2x)(2x2+3x-1)

Mathematics

1 answer:

ELEN [110]4 years ago

8 0

Answer:

(3·x^2 - 2·x)·(2·x^2 + 3·x - 1)

= 3·x^2·2·x^2 + 3·x^2·3·x - 3·x^2·1 - 2·x·2·x^2 - 2·x·3·x + 2·x·1

= 6·x^4 + 9·x^3 - 3·x^2 - 4·x^3 - 6·x^2 + 2·x

= 6·x^4 + 5·x^3 - 9·x^2 + 2·x

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Find the volume of a cylinder that has a diameter of 12 in. and a height of 15 in

daser333 [38]

Answer:

<h3> $\sf{ \boxed{ \bold{1697.14}}}$ </h3>

Step-by-step explanation:

Given,

diameter ( d ) = 12 in

height ( h ) = 15 in

finding the radius of a cylinder

Radius is just half of diameter.

Radius ( r ) = 12 / 2 = 6 in

finding the volume of a cylinder having radius of 6 in and height of 15 in

Volume of a cylinder =  $\sf{\pi \: {r}^{2} h}$ 

⇒ $\sf{ \frac{22}{7} \times {6}^{2} \times 15}$

⇒ $\sf{ \frac{22}{7} \times 36 \times 15}$

⇒ $\sf{1697.14} \: in$ 

Hope I helped!

Best regards!!

6 0

4 years ago

Read 2 more answers

In 5 years, Dad will be three times as old as his daughter Jill will be then. If the sum of their present ages is 50, how old ar

grandymaker [24]

First, we know (D is dad, J is Jill) that D+J=50.
Second, in 5 years D will be 3 times as old so
(D+5)= 3*(J+5)
Moving on, if we know D+J=50 then D=(50-J) is true.Taking that relationship and substituting for D in the other equation, it becomes
50 - J + 5 = 3 * (J + 5)
Then, it becomes 50 - J + 5 = (3 * J) + (3 * 5)
Then, 55 - J = (3 * J) + 15
Then, 55 - 15 = (3 * J) + J
which becomes 40 = 4*J

6 0

3 years ago

Read 2 more answers

People use water to cook, clean, and drink every day. An estimate of 15.5% of the water used each

Studentka2010 [4]

Answer:

260 gallons

Step-by-step explanation:

An estimate of 26.5% of the water used each day is for cleaning and a family uses 68.9 gallons of water a day for cleaning,

Percentage of water used for cleaning= 26.5%

Gallons of water used for cleaning= 68.9

Let the number of gallons used everyday be represented by g. This will give:

26.5% of g = 68.9

26.5/100 × g = 68.9

0.265 × g = 68.9

0.265g = 68.9

Divide both side by 0.265

0.265g/0.265 = 68.9/0.265

g= 260

260 gallons of water are used everyday

5 0

3 years ago

This expression represents the average cost per game, in dollars, at a bowling alley, where n represents the number of games:

Dmitry_Shevchenko [17]

Answer:

Average Cost per game for 4 games is:

A) $4.75

Step-by-step explanation:

As the question is not complete, lets complete it first.

At the bowling Alley, shoe rentals cost $3 while a games costs $3. The expression that represents the average costs per game 'c' , in dollars, where n is the number of games, is:

$c=\frac{4n+3}{n}$

To find average cost per game, for 4 games, simpli substitute n=4 into the given equation:

$c=\frac{4n+3}{n}\\c=\frac{4(4)+3}{4}\\c=\frac{16+3}{4}\\c = \frac{19}{4}\\c= 4.75$

So Average Cost per game for 4 games is:

c = 4.75$

5 0

3 years ago

If the area of a garden is 11 square feet what could be the dimensions of the garden

sergejj [24]

Assuming that the garden is rectangular in shape, the area of a rectangle is given by length x width.

11 is a prime with factors 1 and 11.

Therefore, if the area of a (rectangular) garden is 11 square feet, then the possible dimension of the garden is 1 feet by 11 feet.

7 0

3 years ago