Hey there!
4x + 6 < 18
SUBTRACT 6 to BOTH SIDES
4x + 6 - 6 < 18 - 6
CANCEL out: 6 - 6 because it give you 0
KEEP: 18 - 6 because it help compare to the x-value
SIMPLIFY IT!
4x < 18 - 6
4x < 12
DIVIDE 4 to BOTH SIDES
4x/4 < 12/4
CANCEL out: 4/4 because it give you 1
KEEP: 12/4 because it help give you the compared value to the x.
SIMPLIFY IT!
x < 12/4
x < 3
Therefore, your answer is: x < 3 (the graph is below)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer: 162% of original price was paid by Stanley for the bike.
Step-by-step explanation:
let the original price paid by Sam be x
Then Sam sold his bike to Suzie for 35% more than he paid for it.
Price paid by Suzie = x + 35% of x = x + 0.35 × x = 1.35 x
After which Suzie then sold the bike to Stanley for 20% more than what she paid for it.
Price paid by Stanley = 1.35 x + 20% of 1.35x = 1.35 x + (0.20) × 1.35x = 1.62x
Percent of the original price paid by Stanley for bike
Hence,162% of original price was paid by Stanley for the bike.
Answer:
Answering the part about who created the first equation:
There are a lot of different ways to solving cubic equations, but the first one is given by Gerolamo Cardano, who published it, and the equation was created by Scipione del Ferro, an Italian mathematician who was born in 1465. He did not make a lot of other contributions to mathematics, some of his other works were related to the rationalization of fractions with denominators containing sums of cube roots
This equation was called "Cardano's formula", and originally only worked for depressed cubic equations ( x^3 + p*x + q = 0)
But there are variations that can be used for more general cubic equations, of the form:
a*x^3 + b*x^2 + c*x + d = 0.
Hello,
60 / 40 = 1.5 hour = 1 h 30 mn
Bye :)