The answer would be 0 solutions.
Here, we see <em>|</em><em />x+6<em>|</em><em /> = 2.
Oh wow! A foreign object!
|x+6|... two lines... what is that?
That is called absolute value. Whatever is inside the two lines, must have a positive answer!
Let's pretend we have a machine that has this absolute value function activated.
What we put in, we must get a positive answer out.
Let's put in -6.
-6 ==> BEEP BEEP ==> 6
Let's try 3.
3 ==> BEEP BEEP ==>3
Whatever we put in, if it is negative or positive, what comes out is always positive.
So, for how many values <em>x</em> is |x+6|=-2 true?
None, because the answer <em>must</em><em /> be positive!
-2 is not positive, <em>2</em><em /> is.
Answer:
4
Step-by-step explanation:
Y = mx + b, m = slope and b = y-intercept
Because you don't have the y-intercept, you take the equation and replace x and y with the values given, then solve for b and replace b in the original equation with the value found.
y = 2/3x + b
0 = (2/3)(-3) + b
0 = -2 + b
2 = b
y = 2/3x + 2 is the answer
Answer:
Carmen can make 
full servings.
Step-by-step explanation:
Given : Carmen mixes 
cups of water with 
cups of juice to make punch.
Total quantity of punch Carmen made = total cup of water + cup of juice she mixes
Total quantity of punch Carmen made = 
Solving , we get,
Total quantity of punch Carmen made = 
taking LCM(2,8) = 8 , we get,
Total quantity of punch Carmen made = 
Also, given She pours 
cup servings of punch.
Thus, cup of mixture makes 1 serving cup.
Using unitary method,
In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.
1 cup of mixture makes 
serving cup.
cup makes = 
cup makes = 
Thus, She can make full servings.
Answer:
x - 4 = 2y
Step-by-step explanation:
"four less than a number x" therefore; x - 4
"is twice another number y" therefore; 2y
