Step-by-step explanation:
|4x + 8| > 2
Therefore 4x + 8 > 2 or 4x + 8 < -2.
When 4x + 8 > 2, 4x > -6, x > -1.5.
When 4x + 8 < -2, 4x < -10, x < -2.5.
Hence, x < -2.5 or x > -1.5.
Answer: Hi hope your new account doesn't malfunction.
Answer: A is the right angle
Step-by-step explanation:
a. 20^2 + 15^2 = 25^2
400 + 225 = 625
625 = 625
hope this helps :)
Step-by-step explanation:
Although I cannot find any model or solver, we can proceed to model the optimization problem from the information given.
the problem is to maximize profit.
let desk be x
and chairs be y
400x+250y=P (maximize)
4x+3y<2000 (constraints)
according to restrictions y=2x
let us substitute y=2x in the constraints we have
4x+3(2x)<2000
4x+6x<2000
10x<2000
x<200
so with restriction, if the desk is 200 then chairs should be at least 2 times the desk
y=2x
y=200*2
y=400
we now have to substitute x=200 and y=400 in the expression for profit maximization we have
400x+250y=P (maximize)
80000+100000=P
180000=P
P=$180,000
the profit is $180,000
Answer:
Input - Output
2 - $290
12 - $690
24 - $1170
Step-by-step explanation:
Cost after n months:
The cost after n months is given by the following function:

After 2 months:
This is C(2). So

After 12 months:
This is C(12). So

After 24 months:
This is C(24). So

Table:
Input - Output
2 - $290
12 - $690
24 - $1170