I did the problem and I got negative 4 over 9
Sqrt(1-3x)=x+3
[sqrt(1-3x)]^2=(x+3)^2
1-3x=(x+3)(x+3)
1-3x=x^2+6x+9
-3x=x^2+6x+8
0=x^2+9x+8
The answers are -1 and -8 BUT, we have to plug them back into the original equation to make sure we don't get a negative under the square root sign.
After doing this, we realize that only -1 works, so the answer is x=-1
Sorry that this took forever to answer. I was thinking of a good way to explain this, and if you need any further explanation, message me:)
Best wishes:)
Answer:
B - y = 2x - 8
Step-by-step explanation:
Step 1: find slope
2x + 4y = 6
4y = -2x + 6
Make y the subject of the formula
y =( -2x + 6)/4
We can separate to get the slope
y = -2x/4 + 6/4
y = -x/2 + 3/2
Slope m = -1/2
Step 2: using a point slope form equation
y - y1 = m ( x - x1)
Note: if two lines are perpendicular to the other, it is always a negative reciprocal of each other
ie m = 2
Substitute m into the equation
y - y1 = 2(x - x1)
Step 3: sub the point
( 6 , 4)
x1 = 6
y1 = 4
y - 4 = 2( x - 6)
Step 4 : using a slope intercept form equation
Open the bracket
y - 4 = 2x - 12
y = 2x - 12 + 4
y = 2x - 8
The equation of a line is
y = 2x - 8
Divide each side of the equation by 0.3 .
The answer to how many batches is 9, hope this helped.