<u>Let's take this problem step-by-step</u>:
<u>Let's first set up some variables</u>:
- c: # of children
- a: # of adults
<u>Let's examine the information given:</u>
- Elevator can hold a maximum of 1500 pounds
⇒ average child is 75 pounds
⇒ average adult is 150 pounds
⇒<em> therefore</em>: 
- Elevator can fit no more than 14 people
⇒ <em>therefore</em>: 
<u>Let's graph the equations</u>:
⇒ look at the image attached
<u>The point at which the two graphs intersect:</u>
⇒ <em>is the solution that represents the amount of children and adults and </em>
<em> their combine weight</em>
<em />
<u><em>With the horizontal axis being the # of children and vertical axis being the # of adults</em></u><em>:</em>
<em> ⇒ the </em><em>solution is 8 children and 6 adults</em>
<em></em>
<u>Answer: 8 children and 6 adults</u>
<u></u>
Hope that helped!
<em />
12x=4(x+5) (multiplying 4 by each argument in the parenhesis)
12x=4x+20 /-4x both sides
8x=20 /:8 divide both sides by 8
15x-3(3x+4)=6 (-3 times each argument in the parenthesis)
15x-9x-12=6
6x-12=6 /+12 both sides
6x=18 /:6 divide both sides by 6
x=3
3x-5x+10=36
-2x+10=36 /-10 both sides
-2x=26 /:(-2) divide both sides by -2
x=-13
2(x+3)=x+10
2x+6=x+10 /-x
x+6=10 /-6
x=4
Answer:
Negative: (-∞,-3] and [1/2,-∞)
Positive: [-3,1/2]
Step-by-step explanation:
The derivative is the instantaneous rate of change at any given point for a function. Given this we know that anywhere the function is in the positive or negative direction, the derivative will also be in the positive or negative direction. We also know that wherever there is a peak or a trough, there will be no slope and it signifies a change in direction. For this function, this means the direction changes at -3 and 1/2.
35,725
this is because u can take the ratio 7+5+9=21 then take 150,045/21 which u get 7,145 then time 5 and u get 35,725
