<h2>
Hello!</h2>
The answer is:
The x-coordinate of the solution to the system of equations is:
<h2>
Why?</h2>
We can solve the problem writing both equations as a system of equations.
So, we are given the equations:
Then, solving by reduction we have:
Multiplying the first equation by 2 in order to reduce the variable "x", we have:
Now, substituting "y" into the first equation, to isolate "x" we have:
Hence we have that the x-coordinate of the solution to the system of equations is
Have a nice day!
Answer:
Max vol = 2 cubic metres
Step-by-step explanation:
Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.
Side of the square = 3m
If squares are to be cut from the corners of the cardboard we have the dimensions of the box as
3-2x, 3-2x and x.
Hence x can never be greater than or equal to 1.5
V(x) = Volume = 
We use derivative test to find the maxima
Equate I derivative to 0
If x= 3/2 box will have 0 volume
So this is ignored
V"(1/2) <0
So maximum when x =1/2
Maximum volume
=
cubic metres
1800 laps in 12 weeks
1800/12 = 150 laps in 1 week
150/5 = 30 laps a day
30 laps in 45 minutes
x laps in 60 minutes
x = (30*60)/45 = 40 laps per hour
Answer:
$12.80
Step-by-step explanation:
Sara bought 4 pounds of coffee.
Each pound (lb) costs $3.20
To find the total cost, multiply the cost per pound ($3.20) with the amount of pounds Sara is going to buy (4):
4 x 3.20 = $12.80
$12.80 would be the total cost before tax.
~
Answer:
It should be 5.99x+4, where x is the number of pizzas ordered.
