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3 years ago

14

Identify the remainder when x3 - 3x2 - 9x is divided by x - 6.

1 answer:

kiruha [24]3 years ago

8 0

Let p(x) be any polynomial of degree greater than or equal to one and let 'a' be any real number. If a polynomial p(x) is divided by x - a then the remainder is p(a). Hence by the remainder theorem, 0 is the remainder when x3 + 3x2 + 3x + 1 is divided by x + 1.

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If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?

Leto [7]

If the height and radius of a cylinder are doubled, the volume of the cylinder will also double or will be higher. This is true because the formula for calculating cylinder’s volume is: V=πr2h; where r is the radius while h is the height. However, as you can see on the formula the radius has more effect than height.

5 0

3 years ago

Help me if you nice please this is important

Ber [7]

Answer:

b

Step-by-step explanation:

760 - 10% = 76

760 - 76 = 684

4 0

3 years ago

Add the equations. What value belongs in the green box? 3x + 2y = 9 -x - 2y = 4 [?] + [?] = [?] A. 4x B. 2x C. -3x D. -2x

Naddika [18.5K]

Consider the first blank is the green box.

Given:

The equations are

$3x+2y=9$

$-x-2y=4$

To find:

The value belongs in the green box

Solution:

We have,

$3x+2y=9$ ...(i)

$-x-2y=4$ ...(ii)

Adding (i) and (ii), we get

$3x+2y-x-2y=9+4$

$(3x-x)+(2y-2y)=13$

$2x+0=13$

So, the value for the first black is 2x. It means the value belongs in the green box is 2x.

The values of three blanks are 2x, 0 and 13 respectively.

Therefore, the correct option is B.

6 0

3 years ago

Hi! Please help, I'd appreciate it!

Romashka-Z-Leto [24]

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Step-by-step explanation:

Given,

Surface area of sphere = 196π square feet

Surface area of sphere = 4πr²

We will find radius of sphere.

$4\pi r^2=196\pi$

Dividing both sides by 4π

$\frac{4\pi r^2}{4\pi}=\frac{196\pi}{4\pi}\\\\r^2=49$

Taking square root on both sides

$\sqrt{r^2}=\sqrt{49}\\r=7$

The radius is 7 feet.

Volume of sphere = $\frac{4}{3}\pi r^3$

$Volume=\frac{4}{3}\pi (7)^3\\\\Volume= \frac{4}{3}\pi *343\\\\Volume = \frac{1372}{3}\pi$

The volume of sphere is $\frac{1372}{3}\pi$ feet cubed.

Keywords: volume, surface area

Learn more about surface area at:

#LearnwithBrainly

3 0

3 years ago

The number of bacteria present after n generations is represented by the expression below, where i is the initial number of bact

kobusy [5.1K]

Answer:

8000

Step-by-step explanation:

The function is given as:

$P(n)=i \cdot 2^n$

Where I=Initial Population

n=Number of Generations

If $i=10^3$ , we want to determine the population of bacteria when n=3.

$P(3)=10^{3} \cdot 2^3$

$=(10*2)^3 =20^3$

=8000

There will be 8000 bacteria after 3 generations.

4 0

4 years ago