Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
Answer:
50.6
Step-by-step explanation:
it says 7 students traveled by car so you need to take 7 from 311, then divide your answer (304) by 6, which is 50.6
Answer:
198 yards
Step-by-step explanation:
Sean wants the sting of each balloon to be 9 feet, and he wants to get a total of 66 balloons.
The total length of stings required for 66 balloons would be;
total length of balloon strings = 66 x 9 feet
= 594 feet
But the string is sold by the yard at the store.
So that,
1 yard = 36 inches = 3 feet
x yard = 594 feet
Thus,
x = 
= 198 yards
x = 198 yards
Therefore, the total length of string that Sean would need is 198 yards.
Hope this helps with the answer ;)