Answer:
$367.50 and y=0.3x+300
30% of 225 is 67.50 and her guaranteed salary is 300 so 300+67.50=$367.50.
X-y=2 (*-2) --> -2x+2y=-4
2x+3y=14
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2x+3y=14
-2x+2y=-4
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5y=10
y=2
Answer:
The answer (using BEDMAS) is 27
Step-by-step explanation:
The equation 9 x [(18+2) ÷ 5 - 1] is solved using BEDMAS or PEDMAS
First solve the smaller bracket
18 + 2 = 20
So then it becomes 9 x [20 ÷ 5 - 1]
Do the division inside the bracket next
20 ÷ 5 = 4
Then it becomes 9 x [4 - 1]
Do then subtraction within the bracket
4 - 1 = 3
Then it becomes 9 x 3
Finally solve 9 x 3 which equals 27
(9^x) - 3 = 2*3^x
(9^x) - 3 - (2*3^x) = (2*3^x) - (2*3^x)
(9^x) - (2*3^x) - 3 = 0
(3^2)^x - 2*(3^x) - 3 = 0
3^(2x) - 2*(3^x) - 3 = 0
3^(x*2) - 2*(3^x) - 3 = 0
(3^x)^2 - 2*(3^x) - 3 = 0
z^2 - 2*z - 3 = 0 ............ let z = 3^x
(z - 3)(z + 1) = 0
If z-3 = 0, then z = 3 when we isolate z
If z = 3, and z = 3^x, then
z = 3
3^x = 3
3^x = 3^1
x = 1
which is a solutin in terms of x
If z+1 = 0 then z = -1
If z = -1 and z = 3^x, then there are NO solutions for this part of the equation
The quantity 3^x is never negative no matter what the x value is
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Answer: x = 1
