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Cloud [144]
4 years ago
6

When (x+2)to the 6th power is written as polynomial

Mathematics
1 answer:
12345 [234]4 years ago
3 0
(x+2)^6
=(x^2+4x+4)(x+2)^5
=(x^3+6x^2+12x+8)(x+2)^4
=(x^4+6x^3+24x^2+32x+16)(x+2)^3
=(x^5+8x^4+36x^3+80x^2+80x+32)(x+2)^2
=(x^6+10x^5+52x^4+152x^3+240x^2+192x+64)(x+2)
=x^7+12x^6+72x^5+254x^4+544x^3+472x^2+448x+164

Answer: x^7+12x^6+72x^5+254x^4+544x^3+472x^2+448x+164
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klemol [59]
Say you buy a brand new candle from the store, and pretend like its 3 inches tall.
The moment you light it, that candle will still be 3 inches, but as time goes on and on, the wax of the candle is gradually melting and melting. So in other words the wax is getting less and less from its starting measurement of 3 inches. Soon it will be 2 inches then 1 inch and after that, none at all. So by now you should be thinking it is a negative graph because the wax is getting less and less.

You may be wondering if the graph is curved, the answer is no because very soon after you lit your imaginary candle, the fire stabilized and formed into a constant shape that emits constant heat (assuming you don't apply anything extra.)

So we conclude that it is a negative linear graph.
3 0
3 years ago
Is √8 a rational or irrational number
yawa3891 [41]

Answer:

irrational

Step-by-step explanation:

irrational because there will still be a 2 under the root when you simplify to 2√2

3 0
3 years ago
a cone has a diameter of 3 inches. The come holds 12 cubic inches of water. To the nearest inch, what is the height of the cone?
Shkiper50 [21]
Volume for a cone is 1/3 pi * r^2*h, where r is radius and h is height. We have diameter = 1/2 radius. Thus, radius = 1.5in. We also have volume is 12 in. Using formula for volume of a cone and plugging in what we know, we have 12 = 1/3*pi*(1.5)^2*h, were solving for h. To get, h= (12*3)/(pi*(1.5)^2), which is approximately 5.0931in, 5 inches
7 0
3 years ago
Enter the value of b that makes the statement true: 5xb is less than 5 but greater than 0.
AlexFokin [52]
0<5xb<5  divide all terms by 5

0<xb<1  divide all terms by x

0<b<x

If you meant 5b as in 5*b then:

0<5b<5  divide all terms by 5

0<b<1

b is infinitely many values between 0 and 1.

5 0
3 years ago
Sam's Steakhouse has a waiter to cook ratio of 5 to 2. The total number of waiters and cooks is 42. How many waiters does Sam's
alisha [4.7K]

Answer:

30 waiters

Step-by-step explanation:

the ratio of 5 waiters to 2 cooks

you are given the total number of waiters and cooks = 42

write equation

x (5 + 2) = 42

7x = 42

x = 6

now distribute the x into waiters which is 5x or 5(6) = 30 waiters

additionally 2x is for cooks or 2(6) = 12 cooks; which adds up to 42

3 0
3 years ago
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