If x=1
1/3x = 1/3
3x = 3
If x=2
1/3x=2/3
3x=6
If x=3
1/3x=1
3x=9
If x=4
1/3x=1 1/3
3x+12
Answer:
X = -5
Step-by-step explanation:
-6x + 18 = 7 - (4x + 9)
first we simplify the parentheses.
distribute the invisible number one created by the negative sign in front of the parentheses to get -6x + 18 = 7 - 4x - 9
then simplify further by subtracting 9 from the right side, leaving you with
-6x + 18 = -2 - 4x
next, add 2 to both sides to isolate the variable.
-6x + 20 = -4x
then, to isolate the variable further add 6x to both sides.
20 = -4x
divide both sides by -4 to isolate the variable
-5 = x
so, x = -5
8064 cartons in 21 days......8064/21 = 384 cartons per day
the cartons were delivered in cases of 6.....384 / 6 = 64 cases
each of 16 coffee shops received an equal number of cases..
64/16 = 4.....so each coffee shop received 4 cases per day <==
The given circles are given in standard form:
(x - xc)² + (y - yc)² = r²
The second quadrant is the one that has negative x coordinates and positive y coordinates.
This said, let's see all your options:
A) (x - 5)² + (y - 6)² = 25
xc = -(-5) = +5
yc = -(-6) = +6
C (5 , 6) is in the first quadrant.
B) (x + 1)² + (y - 7)² = 16
xc = -(+1) = -1
yc = -(-7) = +7
C (-1 , 7) is in the second quadrant.
C) (x - 4)² + (y + 3)² = 32
xc = -(-4) = +4
yc = -(+3) = -3
C (4, -3) is in the fourth quadrant.
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D) (x + 2)² + (y - 5)²= 9</span>
xc = -(+2) = -2
yc = -(-5) = +5
C (-2 , +5) is in the second quadrant.
Therefore, the correct answers are B and D.
1g-1.5=-4g-4 (distribute 1/2 and -4 inside their respective parenthesis)
1g=-4g-2.5 (add 1.5 to -4)
5g=-2.5 (add 4g to 1g)
g=-0.5 (divide both sides by 5)
