Answer:
x = ±2, 3 are the critical points of the given inequality.
Step-by-step explanation:
The given inequality is 
To find the critical points we will equate the numerator and denominator of the inequality to zero.
For numerator,
(x - 2)(x + 2) = 0
x = ±2
For denominator,
x² - 5x + 6 = 0
x² - 3x -2x + 6 = 0
x(x - 3) -2(x - 3) = 0
(x - 3)(x - 2) = 0
x = 2, 3
Therefore, critical points of the inequality are x = ±2, 3 where the sign of the inequality will change.
Answer:
a)S= (1,2,3,4,5,6)
b) 1/6 or 16.67%
c) 1/3 or 33.33%
d) 5/6 or 83.33%
Step-by-step explanation:
a) Sample space is the list of all the possible sample in this its either tool 1,2,3,4,5 or 6
b) probability of selecting from tool 1 is equally likely to picking from any cutting tool therefore it
1/6 or 16.7%
c) probability of selecting from any tool is 16.7% so probability of selecting from 3 or 5 = 16.67% + 16.67% = 33.3%
d) if the part is not from tool 4 then its from tool 1, or tool 2 or tool 3 or tool 5 or tool 6 therefore its
1/6+1/6+1/6+1/6+1/6 = 5/6 or 8.33%
Answer:
A. y(3) + x = total cost
B. Shoe rental is $2.
Step-by-step explanation:
A. 4(3) + 2 = 14
B. If 4(3) = 12, and the total cost is $14. Then the shoes cost $2.
4(3) = 12 + 2 = 14
To compute the <span>25% income tax
</span>$42,000 x <span>25 / 100 = $10,500
</span><span>the least salary he can earn will be
</span>$42,000- <span>$10,500 =$31,500</span><span>
</span>
Answer:
Length of other board 
metres
Step-by-step explanation:
Given: Length of board = 
metres
Length of board was divided into two.
Length of one piece = 
metres
Let 
= length of the other board
Length of the other board = Length of board - Length of one piece
So, 
Thus, length of the other board metres
