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tangare [24]
3 years ago
12

Please help with the question in the attachment. Do not give an improper answer or you will be reported.

Mathematics
1 answer:
____ [38]3 years ago
3 0

9514 1404 393

Answer:

  2876 books

Step-by-step explanation:

If we let y1 and y2 represent the costs from method 1 and method 2, then we have, for x books published, ...

  y1 = 12841 +24.25x

  y2 = 48072 +12x

These costs will be equal when ...

  y1 = y2

  12841 +24.25x = 48072 +12x

  12.25x = 35231 . . . . . . . . . . . . . subtract 12841+12x

  x = 2876 . . . . . . . . . . divide by 12.25

The costs will be the same for production of 2876 books.

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Find the cube root of 19683 by prime factorization method. Show steps.
ANTONII [103]

Answer:

  • 27

Step-by-step explanation:

<u>Given number:</u>

  • 19683

<u>Prime factors of 19683:</u>

  • 19683 = 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^9

<u>Cube root:</u>

  • ∛19683 = ∛3^9 = 3^3 = 27
3 0
3 years ago
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Solve this rational equation ​
tino4ka555 [31]

Answer:

<h2>x = -1</h2>

Step-by-step explanation:

\text{Domain:}\\\\x-4\neq0\ \wedge\ x-2\neq0\ \wedge\ x^2-6x+8\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x^2-4x-2x+8\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x(x-4)-2(x-4)\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ (x-4)(x-2)\neq0\\\\x\neq4\ \wedge\ x\neq2\ \wedge\ x-4\neq0\ \wedge\ x-2\neq0\\\\\boxed{D:x\neq4\ \wedge\ x\neq2}

\dfrac{1}{x-4}+\dfrac{x}{x-2}=\dfrac{2}{x^2-6x+8}\\\\\dfrac{1(x-2)}{(x-4)(x-2)}+\dfrac{x(x-4)}{(x-4)(x-2)}=\dfrac{2}{(x-4)(x-2)}\\\\\dfrac{x-2+x(x-4)}{(x-4)(x-2)}=\dfrac{2}{(x-4)(x-2)}\iff x-2+x(x-4)=2\\\\x-2+(x)(x)+(x)(-4)=2\\\\x-2+x^2-4x=2\qquad\text{subtract 2 from both sides}\\\\x^2-3x-4=0\\\\x^2-4x+x-4=0\\\\x(x-4)+1(x-4)=0\\\\(x-4)(x+1)=0\iff x-4=0\ \wedge\ x+1=0\\\\x-4=0\qquad\text{add 4 to both sides}\\x=4\notin D\\\\x+1=0\qquad\text{subtract 1 from both sides}\\x=-1\in D

8 0
3 years ago
What is the input value of f(x)=−2
Korolek [52]

Answer:

2

Step-by-step explanation:

5 0
3 years ago
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B) 1325÷13 long division​
tigry1 [53]
101 with a remainder of 12
5 0
3 years ago
HELP ME ASAP I NEED TO KNOW LOL
laiz [17]

Answer:

The range would be (-infinity,infinity)

Step-by-step explanation:

Range is the y values. And the y values are going up and down forever to infinity and negative infinity

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3 years ago
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