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Advocard [28]
3 years ago
6

PLEASE HELP IM SO STUCK ILL MARK YOU BRIANLIEST!!! 30 POINTS Given the expression: 6x10 − 96x2 Part A: Rewrite the expression by

factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.
Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

6x^2 ( x^2 -2) ( x^2 +2)(x^2+2x+2)(x^2-2x+2)

Step-by-step explanation:

6x^10 − 96x^2

Factor out 6x^2

6x^2 ( x^8 - 16)

Notice that inside the parentheses we have the difference of squares

6x^2 ( x^4 ^2 - 4^2)  a^2 - b^2 = (a-b) (a+b)

6x^2 ( x^4 -4) (x^4 +4)

Notice that x^4-4 is also the difference of squares

6x^2 ( x^2^2 -2^2) (x^4 +4)

6x^2 ( x^2 -2) ( x^2 +2) (x^4 +4)

Note also that x^4 + 4 can be factored into (x^2+2x+2)(x^2-2x+2)

6x^2 ( x^2 -2) ( x^2 +2)(x^2+2x+2)(x^2-2x+2)

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Which expression is equivalent to 2(x + 7) – 18x + = ?
Blizzard [7]

Answer:

-16x + 14 or 2(7-8x)

Step-by-step explanation:

= 2(x + 7) – 18x

= 2x + 14 -18x

= -16x + 14

or

= 2(7-8x)

8 0
3 years ago
PLEASEEEEEE HELP ME WITH THIS ONE ASAP PLEASE AND THANK YOU
Artemon [7]

Answer:

x=9 and z=83

Step-by-step explanation:

First you subtract 97 from 180 because that gives you z because 180 is a flat angle and 83 plus 97 gives 180. For x the opposite angle is also 97 so you set the equation 5x + 52 = 180 and you solve for x to get the x value. Hope this helps :)

6 0
3 years ago
In a four year period, about 80,000 acres of coastal wetlands in the United States are lost each year. What integer represents t
klemol [59]

Answer:

-320000

Step-by-step explanation:

Given

Lost Land = 80,000 acres yearly

Duration 4 years

Required

The total change

Represent the total change with y;

y is calculated as thus;

y = Lost\ Land * Duration

y = -80,000 acres * 4

y = -320000\ acres

<em>Hence, a total of 320000 acres were lost during the period</em>

7 0
3 years ago
A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $28.75 , with a standard
bulgar [2K]

Answer:

Following are the solution to the given choices:

Step-by-step explanation:

Using chebyshev's theorem :

\to P(|(x-\mu)|\leq k \sigma)\geq 1- \frac{1}{k^2}\\\\here \\ \to \mu=28.75\\\\ \to \sigma=4.44

In point a)  

\to |(x-\mu)|= |20.17-28.75|=8.58 and \sigma=4.44 \\\\so, \\k= \frac{ |(x-\mu)| }{\sigma}

  = \frac{8.58}{4.44} \\\\ =1.9 \\\\ =2

value= (1- \frac{1}{k^2}) \times 100 \% =75\%

In point b)

\to (1- \frac{1}{k^2}) \times 100 \% =84\% \\\\\to (1- \frac{1}{k^2})=0.84 \\\\\to \frac{1}{k^2} =0.16 \\\\\to \frac{1}{k}=0.4\\\\ \to k=2.5 \\\\\to |(x-\mu)| \leq k \sigma  \\\\= |(x-\mu)|\leq 2.5 \times 4.44  \\\\  = |(x-\mu)|\leq 1.11 \\\\ =  (28.75\pm 11.1) \\\\\to \text{fares lies between}(17.65,39.85)

In point c)

\to 99.7 \% \\ lie \ between=28.75 \pm z(.03)\times \sigma \\\\ =28.75\pm 2.97 \times 4.44\\\\=(28.75\pm 13.1)\\\\=(15.65,41.85)\\

In point d)

using standard normal variate

x=20.17\\\\  z=-2 \\\\x=37.13\\\\ z=2\\\\\to P(20.17

8 0
3 years ago
Solve each pair of simulation equation.Giving both solutions. Multiply both equations by suitable numbers before adding/subtract
pashok25 [27]

Answer:

Step-by-step explanation:

I haven't got time to do all these by I'll give you the method in each case.

You have to make the x or y term equal (or 1 term + and other -) in both equations before adding or subtracting.

A . Multiply  equation 2 by 2 and subtract (to eliminate x)

- don't forget to multiply EACH TERM by 2.

B. Multiply  equation 2 by -2 and add.

C.  Multiply  equation 1 by 3 and equation 2 by 2 ( this will give -6y and +6y in the resulting equations ) so  you then add to eliminate y.

D.  Multiply equation 1 by 13 and equation  and equation 2 by 2 to eliminate x then add.

6 0
2 years ago
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