3. What are the domain and range of (x) = 4* ? Domain: Range:

A student solves the following equation for all possible values of x:

bekas [8.4K]

The correct answer is: 
C) his solution for x is correct, but in order for 6 to be an extraneous solution, one denominator has to result in 0 when 6 is substituted for x.

Explanation: 
To solve this rational equation, we cross multiply: 
8*(x-4)=2*(x+2).

Using the distributive property, we have 
8*x-8*4=2*x+2*2;
8x-32=2x+4.

Subtract 2x from each side: 
8x-32-2x=2x+4-2x;
6x-32=4.

Add 32 to each side: 
6x-32+32=4+32;
6x=36.

Divide both sides by 6:
 $\frac{6x}{6}$ = $\frac{36}{6}$ ;
x=6.

Extraneous solutions are solutions that come about in the problem but are not valid solutions to the problem; the only values of x that would give this sort of answer are -2 and 4, since these are the two values that would make one of the denominators 0 (we cannot divide by 0).

6 0

3 years ago

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How do you write 4/5 as a percentage? lol i know this is simple but im so... help

adoni [48]

Answer:

85%

Step-by-step explanation:

6 0

3 years ago

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What is 4n + 3 ( n – 5 ) + 2 simplified? I suck At math sry

Tema [17]

Answer:

$7n−13$

Step-by-step explanation:

$4n+3(n−5)+2$

$4n+3n+3 \times (−5+2)$

$4n+3n−15+2$

$7n−15+27n-15+2$

$7n−13$

<h3>Hope it is helpful....</h3>

4 0

3 years ago

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Where does the point (0, - 3) lie?

gregori [183]

An ordered pair is written like this, ( x, y ). In this case x = 0 and y = -3. On a graph the vertical line is the y-axis and the horizontal line is the x-axis. The origin is point ( 0, 0 ). To the left of the origin on the x-axis is the negative number line and to the right is the positive number line. On the y-axis, south of the origin is the negative number line and north is the positive number line. When you plot a point on a graph you do x first, so if x equals 1, you would move one right, -1, one left. IF y were to equal 2 then from the place where you are on the x-axis, 1, you would move two up, -2, two down. In this case x = 0 so you would stay at the origin, and y = -3 so you would move 3 down. So ( 0, -3 ) would lie negative y-axis. The answer is D.

3 0

3 years ago

Smith went to the supermarket and bought 4 pounds of raspberries at half their original price, and 8 pounds of watermelon. The p

olga_2 [115]

He spent $2.35 at the store. Hope it helps! :D

6 0

3 years ago