Answer:
w = -3
Step-by-step explanation:
-4w - 4 = 8
Combine the constants by adding 4 to both sides.
-4w = 12
Isolate w by dividing by -4.
w = -3
Check your work by plugging w = -3 into the original equation.
-4(-3) - 4 = 8
12 - 4 = 8
8 = 8
Your answer is correct.
The formula for the equation of a circle is (x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and <em>r</em> is the radius.
So we need to find the values of (h, k) in order to find the center of the circle.
If we simply line up the equation of our given circle with our formula,
we can see that -h = 3 or h = -3 and -k = -2 so k = 2.
So now we have our answer.
center ⇒ (-3, 2)
We know that 20% of the first type of juice is pure fruit juice and 45% of second type of juice is pure fruit juice.
Now we have to make 30 pints of a mixture that is 35% pure.
Let x be the number of pints of first type of juice and y be the number of pints of second type of juice.
So, 
(Equation 1)
Since, 20% of x + 45% of y = 35.3% of 30
(Equation 2)
Solving equations 1 and 2,
we get y=18 and x=12.
So, 12 pints of first type of juice and 18 pints of second type of juice are used.
If the domain is 5, you just put that five where you find an x. So,
y = 5 - 5
y = 0
Domain means those are the numbers that will be set as x's in the equation
