Answer:
25.
Step-by-step explanation:
44:11*100 = 25
Given : If x ≠ -2 then f(x) = 
As -5 ≠ -2 ⇒ f(-5) = 
Given : if x = -2 then f(x) = -1
As x = -2 ⇒ f(-2) = -1
Given : If x ≠ -2 then f(x) =
As 2 ≠ -2 ⇒ f(2) = 
Answer:
There were 120 events planned.
Step-by-step explanation:
We are given the following information in the question:
f(x) represents the total monthly expenses for planning x events.
Cost of expenses for the company at the end of one month = $12,350
We have to find the number of events planned that is we have to find the value of x.
Thus, there were 120 events planned.
Answer:
a.16
b.1056
Step-by-step explanation:
a. So we know that Not Shakers charges 800 dollars + 16 per hour, so we can call that 800 + 16h. We also know that Hernia Movers charges 720 dollars + 21 per hour, so we can call that 720 + 21h.
Now in order to find when they will have the same amount, we have to solve for h.
Equation:
800 + 16h= 720+21h
800=720+5h
5h=80
h=16
The two companies will have the same amount after 16 hours.
b. Now we have to find that amount, so all we have to do is replace h with 16. so 720 + 21(16) = 1056.
Therefore, the amount will be 1056 dollars.
Answer:
-3/2 ≤ x < 5
Step-by-step explanation:
Begin the solution of this inequality 2x - 3 < x + 2 ≤ 3x + 5 by combining the constants: Subtracting 2 from 2x - 3, x + 2 and 3x + 5 yields:
2x - 5 < x ≤ 3x + 3.
Focus on the first part of this inequality, 2x - 5 < x simplifies to x - 5 < 0 if we subtract x from both sides. Then x < 5 is part of the solution.
Focus now on the second part of this inequality: x ≤ 3x + 3. Subtracting x from both sides yields 0 ≤ 2x + 3, or -3 ≤ 2x, or 2x ≥ -3, or x ≥ -3/2.
Re-combining these two separate inequalities results in:
-3/2 ≤ x < 5 (equivalent to -1.5 ≤ x < 5).
Example: suppose we choose a test number from this interval. Does this test number satisfy the original equation? Choose x = 1.
Is 2(1) - 3 < 1 + 2 ≤ 3(1) + 5 true?
Is 2 - 3 < 3 ≤ 8 true? YES. So x = 1 is part of the solution set -3/2 ≤ x < 5.
