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3 years ago

What is the product of -4x2(6x2y)

Mathematics

1 answer:

Alla [95]3 years ago

3 0

Answer:

Step-by-step explanation:

First you would use distributive property and distribute the two to the 6 and the 2y. That would bring you to -4 * 12 * 4y. Multiply -4 and 12 and that gets you -48. Then you get -48 + 4y. That's the simplest form you can get it to without knowing y.

I hope this helps!

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Evaluate: 20 Σ 4(8/9)^n-1 = [?] 1 Round to the nearest hundredth.

lianna [129]

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: $a_n=ar^{n-1}$

(where a is the first term and r is the common ratio)

Given:

$\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}$

Therefore:

a = 4
r = 8/9

Sum of the first n terms of a geometric series:

$S_n=\dfrac{a(1-r^n)}{1-r}$

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

$\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}$

$\implies S_{20}=32.58609013...$

$\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)$

7 0

1 year ago

Read 2 more answers

Tommy can exchange 8 euros for 11 dollars.

Georgia [21]

Answer:

9 dollars and 40 cents

Step-by-step explanation:

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2 years ago

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What is the solution to this equation? 6(x-3)=3x+9

Vikki [24]

Answer:

X = 9

Step-by-step explanation:

6(x−3)=3x+9

(6)(x)+(6)(−3)=3x+9

6x+−18=3x+9

6x−18=3x+9

6x−18−3x=3x+9−3x

3x−18=9

3x−18+18=9+18

3x=27

3x /3 = 27 /3

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3 years ago

Find the zeros of the function g(x) = 2x2 - 5x + 2.

sertanlavr [38]

G(x) = 2x² - 5x + 2 = 2x² - 4x - x + 2 = 2x · x - 2x · 2 - 1 · x - 1 · (-2)

= 2x(x - 2) -1(x - 2) = (x - 2)(2x - 1)

g(x) = 0 ⇔ (x - 2)(2x - 1) = 0 ⇔ x - 2 = 0 or 2x - 1 = 0

x = 2 or x = 0.5

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3 years ago

Someone please help! You have to show your work.

AnnZ [28]

40/50 is the ratio because the cos formula is adjacent over hypotenuse and you can reduce it to 4/5 as a fraction :)

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1 year ago