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Nimfa-mama [501]
3 years ago
14

One-eighth a number is two more than one-fourth the number. What is the number? A. −16 B. −4 C. 8 D. 16

Mathematics
2 answers:
Elenna [48]3 years ago
4 0

Answer:

\mathrm{A}

Step-by-step explanation:

Let that number be x.

1/8x=2+1/4x

1/8x-1/4x=2

-1/8x=2

x=2 \times -8/1

x=-16

netineya [11]3 years ago
4 0

Answer:

A. -16.

Step-by-step explanation:

1/8 x = 1/4 x + 2  where x is the number to be found.

Subtract 1/4 x for both sides of the equation:

-1/8x = 2

x = 2*-8

x = -16

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F(x) = x4 - x3 - 2x- 4 factor the polynomial function over the complex numbers
olchik [2.2K]

Answer:

<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>

Step-by-step explanation:

The given function is f(x) = x⁴ - x³ -2x -4

factor the polynomial function

f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x )  ⇒ take (-) as a common from (- x³ -2x)

     = (x² + 2 ) (x² - 2) - x (x² + 2)   ⇒ take (x² + 2)  as a common

     = (x² + 2 ) ( x² - x - 2)

     = (x + √2 i) (x - √2 i) (x -2 ) ( x+1)

Notes:  (x⁴ - 4) = (x² + 2 ) (x² - 2)

            (x² + 2)= (x + √2 i) (x - √2 i)

            ( x² - x - 2) = (x -2 ) ( x+1)

8 0
3 years ago
A printing company charges $42 plus $0.05 per page. Another company just charges $0.08 per page. How many pages are in an order
Nookie1986 [14]
There should be 1,400 pages in an order that costs the same for both companies.

Let x be the unknown number of pages.

1st Company = 42 + 0.05x
2nd Company = 0.08x

0.08x = 42 + 0.05x
0.08x - 0.05x = 42
0.03x = 42
0.03x / 0.03 = 42 / 0.03
x = 1400 pages

To check

0.08x = 42 + 0.05x
0.08 (1400) = 42 + (0.05 * 1400)
112 = 42 + 70
112 = 112

7 0
3 years ago
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