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mote1985 [20]
3 years ago
14

simplify the expression below. Express the simplified expression in standard form (12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

Mathematics
1 answer:
joja [24]3 years ago
3 0
<h3>Answer:   14s^4 - 7s^2 + 15</h3>

====================================================

Work Shown:

(12s^4-6s^2+4s)+(6s^4-4s+27)-(4s^4+s^2+12)

12s^4-6s^2+4s+6s^4-4s+27-4s^4-s^2-12

(12s^4+6s^4-4s^4)+(-6s^2-s^2)+(4s-4s)+(27-12)

14s^4-7s^2+0s+15

14s^4-7s^2+15

Note: don't forget to distribute the negative to every term in the last parenthesis

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Solve the given linear Diophantine equation. A) 12x+9y=15 B) 8x+10y=17
Nookie1986 [14]

Answer:

  A) (x, y) = (2-3n, 4n-1) . . . . for any integer n

  B) no solution

Step-by-step explanation:

A) All coefficients have a common factor of 3, so any solution of the reduced equation will be a solution of the given equation. The reduced equation is ...

  4x +3y = 5

A graph of the original shows (x, y) = (2, -1) is a solution. Then other solutions will be those values with a multiple of 4 added to y and the same multiple of 3 subtracted from x:

  (x, y) = (2 -3n, 4n -1)

__

B) The left side of the equation is an even number for any integer values of x and y. The right side is an odd number. There can be no solution.

5 0
3 years ago
For what values of x is the rational expression below undefined?
EastWind [94]
(x-4)/(3)(x+5)(x-5)

In order for the rational expression to be undefined, the denominator must be equal to 0.

Thus, set 3(x+5)9(x-5)=0

x=5 and -5 
5 0
3 years ago
If your starting salary is $50,000 and you receive a 4%increase at the end of every year, what is the total amount, indollars, y
Softa [21]
Answer

Total amount earned after 16 years = $93649

Explanation:

The principal, P = $50,000

Interest rate, r = 4% = 4/100

r = 0.04

The time, t = 16 years

Number of times intesrest is compounded per year, n = 1

Total amount is calculated below:

\begin{gathered} A=P(1+r)^t \\  \\ A=50000(1+0.04)^{16} \\  \\ A=50000(1.04)^{16} \\  \\ A=\$93649 \end{gathered}

Total amount earned after 16 years = $93649

4 0
1 year ago
Is this true? ....................
Yakvenalex [24]

Answer:

no false.

Step-by-step explanation:

7 0
3 years ago
Ethan ill do 3 questions at a time :)
pashok25 [27]
1.) Number of Total Shirts = 220

In Figure 1, Red boxes represent "<span>short sleeve shirts" which is 7 in number whereas Blue boxes represent "long sleeve shirts".

1 box contains = 220/10 = 22 shirts 

Number of short sleeves = 22 * 7 = 154

<span>In short, Your Final Answer would be: 154 

</span></span>2.) Number of Total Subscribers = 260

In Figure 1, Red boxes represent "<span>regular subscribers" which is 10 in number whereas Blue boxes represent "premium subscribers".

1 box contains = 260/13 = 20 subscribers. 

Regular subscribers = 20 * 10 = 200 

<span>In short, Your Final Answer would be: 200
</span></span>
3.) Number of Total People = 360

In Figure 1, Red boxes represent "<span>Males" which is 3 in number whereas Blue boxes represent "females".

1 box contains = 360/12 = 30 people

Number of males: = 30 * 3 = 90

<span>In short, Your Final Answer would be: 90

Hope this helps!
</span></span>

7 0
3 years ago
Read 2 more answers
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