Frank paid $22.40 for sweatshirt it had been discounted by 30%. What was the regular price of the sweatshirt?
1 answer:
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If I've understood your question, you're asking about this:
A number raised to a negative power is the same as the inverse of that number raised to the positive power. Basically the number moves from the numerator to the denominator or the denominator to the numerator. So 1/(3^-2) is the same as 1 / (1/3^2), which is the same as 3^2. That means what you have here is 4 x 3^2, which is 36.
A number raised to a negative power is the same as the inverse of that number raised to the positive power. Basically the number moves from the numerator to the denominator or the denominator to the numerator. So 1/(3^-2) is the same as 1 / (1/3^2), which is the same as 3^2. That means what you have here is 4 x 3^2, which is 36.
Answer:
x¹= -4 , x²= 7
Step-by-step explanation:
1) Determine the defined range
¼x-¾=7/x =/ 0
2) Move the expression to the left-hand side and change its sign
3) Write all numerators above the least common denominator 4x
4) When the quotient of expressions equals 0, the numerator has to be 0
x²-3x-28=0
5) Write -3x as a difference
x²+4x-7x-28=0
6) Factor out x from the expression
x(x+4)-7x-28=0
7) Factor out -7 from the expression
×(x+4)-7(x+4)=0
8) Factor out x+4 from the expression
(x+4)×(x-7)=0
9) When the product of the factors equals 0, at least one factor is 0
x+4=0
x-7=0
10) Solve for the x
x+4=0 -> x= -4
x-7=0 -> x=7
11) Check if the solution has defined range
x= -4
x=7
12) The solution has 2 solutions