Solve the absolute value equation. 3x - 4 = 5 x= 3 or x=-3- x = 3 or x= x=-3
2 answers:
Answer:
see explanation
Step-by-step explanation:
Assuming the equation to be
| 3x - 4 | = 5, then there are 2 possible solutions
3x - 4 = 5 or 3x - 4 = - 5 ( add 4 to both sides of both equations )
3x = 9 or 3x = - 1 ( divide both sides by 3 in both equations )
x = 3 or x = -
As a check substitute these values into the left side of the equation and if equal to the right side then they are the solutions
x = 3
| 9 - 4 | = | 5 | = 5 ← correct
x = -
| - 1 - 4 | = | - 5 | = 5 ← correct
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Answer:
If order matters: 2,594,592,000 ways.
If order does not matter: 64,350 ways
Step-by-step explanation:
Assuming that the order matters when picking the non-pitching positions (since they are different positions), the number of possible different starting lineups is given by the permutation of picking 8 players out of 15, multiplied by 10 (pick one out of 10 pitchers):
Now if the order of the field players is not important, the number of possible starting lineups is given by the combination of picking 8 players out 15, multiplied by 10:
Therefore, the number of ways to pick the starting lineup is:
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If order does not matter: 64,350 ways
Answer:
Step-by-step explanation:
Volume of the box = x³ +11x² + 20x – 32 I think the ' is a typo for ³
the width is x-1 and the height is x+8
Find an expression for the length
Vol = LWH solve L
Vol / (WH) = L so
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
so it would help to factor the numerator
(x³ +11x² + 20x – 32) I'm willing to bet (x-1) and (x+8) are factors
but I will plot the equation to find the three roots
(x³ +11x² + 20x – 32) = (x-1) (x+8) (x+4)
L = (x³ +11x² + 20x – 32) / (x-1) (x+8)
= (x-1) (x+8) (x+4) / (x-1) (x+8) the (x-1) and (x+8) cancel out leaving
L = (x + 4)
