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3 years ago

Make (X-12)/(x-8) equal to zero A)-2 B)-8 C)2 D)8

Mathematics

1 answer:

nevsk [136]3 years ago

7 0

Answer:

x=12 makes (X-12)/(x-8) equal to zero

x=8 makes (X-12)/(x-8) undefined

Step-by-step explanation:

(x-12)/(x-8) = 0

The first step is to multiply each side by x-8

(x-8) *(x-12)/(x-8) = 0 * (x-8)

This cancels the denominator. x≠ 8 because the denominator would equal 0 and then it becomes undefined.

x-12 = 0

Add 12 to each side

x-12+12 = 0+12

x = 12

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Step-by-step explanation:

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3 years ago

(2x² - 5x-3)/ (x-3) DIvide the polynomials

Anika [276]

Answer:

2x + 1

Step-by-step explanation:

$\frac{(2x² - 5x-3)}{(x - 3)}$

Factor out 2x² - 5x-3

$\frac{(2x + 1)(x - 3)}{x - 3}$

divide x - 3 by x - 3

=> 2x + 1

Or another step

Step by Step Solution

STEP

Equation at the end of step 1

STEP

2x² - 5x - 3/ x - 3

Trying to factor by splitting the middle term

2.1 Factoring 2x² - 5x - 3

The first term is, 2x² its coefficient is 2 .

The middle term is, -5x its coefficient is -5 .

The last term, "the constant", is -3

Step-1 : Multiply the coefficient of the first term by the constant 2 • -3 = -6

Step-2 : Find two factors of -6 whose sum equals the coefficient of the middle term, which is -5 .

-6 + 1 = -5 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 1

2x² - 6x + 1x - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (x-3)

Add up the last 2 terms, pulling out common factors :

1 • (x-3)

Step-5 : Add up the four terms of step 4 :

(2x+1) • (x-3)

Which is the desired factorization

Canceling Out :

2.2 Cancel out (x-3) which appears on both sides of the fraction line.

Final result :

2x + 1

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1 year ago

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enyata [817]

Answer:

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Step-by-step explanation:

John: x number of cards

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5 0

3 years ago

Read 2 more answers