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Artist 52 [7]
3 years ago
7

Expand the following using either the Binomial Theorem or Pascal’s Triangle. You must show your work for credit.. . (2x + 4)^3

Mathematics
2 answers:
Alik [6]3 years ago
7 0
A Pascal triangle is the triangular way of expanding a binomial. So the best way in expanding that function is thru Binomial Theorem and the expanded for of it is 8x^3+48x^2+98x+64
hjlf3 years ago
3 0

Before even trying to put this into the binomial form, we must figure out the coefficients. If we go by the Pascal's Triangles way we should end up with:

        1

    1      1

 1     2     1

1    3     3    1

Going by the last level (which is the third level) we get 3C0:1, 3C1:3, 3C2:3, 3C3:1.

Now with the equation: (a+b)^3 = 3C0a^3 + 3C1a^2 b + 3C2a b^2 + 3C3b^3 we just plug in all the values and simplify

(2x+4)^3 = 2x^3 + 3(2x)^2 (4) + 3(2x) (4)^2 + (4)^3

(2x+4)^3 = 8x^3 + (3)(4x^2)(4) + (3)(2x)(16) + 64

Then we finally end with: (2x+4)^3 = 8x^3 48x^2 + 96x +64



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Need Help ASAP!!
Aleksandr-060686 [28]

Answer:

$1480.24

Step-by-step explanation:

This will be solved by the formula:

FV=I(1+r)^t

Where

FV is the future value (what we are looking for)

I is the initial amount (which is $1000)

r is the rate of interest per period (8% is annual interest, but the period is SEMI-ANNUAL, that's 6 months, half of yearly. So r would be half of 8%, which is 4% or r = 0.04)

t is the times compounding occurs in the whole time (The whole time period is 5 years, but compounding occurs semi-annually, so 5*2 = 10 times. Thus, t = 10)

<em>plugging the info into the formula we will get our answer.</em>

<em>FV=I(1+r)^t\\FV=1000(1+0.04)^{10}\\FV=1000(1.04)^{10}\\FV=1480.24</em>

4 0
3 years ago
F(x)=kx+6 and find f(2)=16 find f(4)
Vikentia [17]

Answer:

f(4)=26

Step-by-step explanation:

f(2)=16

F(x) = kx+6

16=k(2)+6

16-6=k(2)

10=k(2)

<u>10</u> =<u>k(</u><u>2</u><u>)</u>

2 2

5= k

f(4)=k(4)+6

=5(4)+6

=20+6

f(4)=26

5 0
2 years ago
diketahui akar akar persamaan kuadrat 2x^2-9x + 7 = 0 adalah x1 dan x2. nilai dari x1^2 + x2^2- 4x1x2 adalah...
Leviafan [203]
<span>jika xy = 0 , kemudian menganggap x dan y = 0

faktor 2x^2-9+7
(2x-2)(x-7)=0

2x-2=0
2x=2
x=1

x-7=0
x=7

</span><span>jika 1 = x1 dan 7 = x2 maka jawabannya adalah 1^2+7^2-4(1)(7)=22
</span>
jika 7 = x1 dan 1 = x2 maka jawabannya adalah
7^2+7^2-4(7)(1)=22

<span>jawabannya adalah 22</span>


6 0
3 years ago
I need help asap! Thank you.
Serggg [28]
11) A rectangle = 11.5 x 9.5 = 109.25
A triangle = 8x 9.5 = 38
Total area = 109.25 + 38 = 147.25
6 0
3 years ago
Question 6 of 10
Rudik [331]

If the series is A B C D then the next one is E

7 0
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