Step-by-step explanation:
3x+18+2x-5= -2x+-2+10
combining like terms
3x+2x+2x=5-2+10-18
7x=-5
x=-5/7
Answer:

Step-by-step explanation:
We have to find profit
.
This can be easily found using a formula for Profit given the Revenue and Cost.


Given that:


to find P(x) we can simply subtract R(x) by C(x).



and finally, after simplify this equation subtracting 6x by 2.3x.
this is the equation for the profit 

Answer:
- <em> 15</em>
- <em> 42,250</em>
Step-by-step explanation:
The given function is,

where,
P = the total production of apples,
x = the number of trees added.
As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.
The vertex will be at 
The value of the function will be maximum at,

Putting the values,

So at x=15 or for 15 number of trees the production will be ,maximum.
Putting x=15 in f(x) will yield the maximum production of apples.

Answer:
- The system has infinitely many solutions when a = 3/4 and b = 1/2
<h3>Given </h3>
System of linear equations
<h3>To find </h3>
- Values of a and b that leads to infinitely many solutions
<h3>Solution</h3>
The linear system of equations has infinitely many solutions when lines overlap, so both have same slope and y-intercept.
We can solve it in two different ways
1. Note that when the first equation is multiplied by 4, it has same value of constant as the second equation, which is 64.
- 4ax + 4by = 64
- 3x + 2y = 64
When compared it gives us:
- 4a = 3 ⇒ a = 3/4
- 4b = 2 ⇒ b = 2/4 = 1/2
2. Convert both equations from standard to slope-intercept form and compare:
- ax + by = 16
- by = -ax + 16
- y = - (a/b)x + 16/b
- 3x + 2y = 64
- 2y = - 3x + 64
- y = - (3/2)x + 32
Work out values of a and b:
- 16/b = 32 ⇒ b = 16/32 ⇒ b = 1/2
- - (a/b) = - 3/2 ⇒ a/b = 3/2 ⇒ a = 3b/2 ⇒ a = 3(1/2)/2 ⇒ a = 3/4
17 ft, 8:20 , 39ft , 9:08
your welcome!