Let's say Ronnie is thinking of X.
If 2(x) = x+5, we would first distribute the 2.
2x = x+5
We would then need to isolate the variable. We would do so by getting all variables to one side. The easier choice would be to subtract x from both sides.
2x=x+5
-1x -1x
This becomes
x=5
Ronnie is thinking of the number five.
5•2=10 and 5+5=10.
Equation for company a: y=20x+8
Equation for company b: y=24x+4
Company A would be cheaper for 5 loads of laundry, because it is $108 dollars opposed to $124 which is what company b would charge for 5 loads.
$32 dollars is saved by using the services of company A instead of company B to clean 9 loads of laundry.
Complete the square since can't factor
2/2=1
add 1 to both sides
x²+2x+1-6=1
factor perfect square
(x+1)²-6=1
add 6 to both sides
(x+1)²=7
sqrt both sides
x+1=+/-√7
minus 1 both sides
x=-1+/-√7
so x=-1+√7 or x=-1-√7
R(x) = 60x - 0.2x^2
The revenue is maximum when the derivative of R(x) = 0.
dR(x)/dx = 60 - 0.4x = 0
0.4x = 60
x = 60/0.4 = 150
Therefore, maximum revenue is 60(150) - 0.2(150)^2 = 9000 - 4500 = $4,500
Maximum revenue is $4,500 and the number of units is 150 units
Answer:
(-2,-1)
Step-by-step explanation:
To reflect something across an axis we need to change the coordinate of the other axis. To reflect a point across the X axis we need to change the sign on the Y axis because that will put it on the other side of the X axis. In this question the 1 is what we will change from positive to negative. By doing this it will move the point from above the X axis to below the X axis.
I hope this helps and please don't hesitate to ask if there is anything still unclear!
