(4x - 3)(2x - 1) ≥ 0
First, find the zeros:
4x - 3 = 0 2x - 1 = 0
x = 
x = 
Next, plot these points and choose test points on the outside and between the zeros:
←-------0------------
------------1------→
Lastly, plug in the test points and look for a positive result (since it is greater than 0).
Test Point 0: [4(0) - 3][2(0) - 1] = ( - )( - ) = + THIS WORKS!
Test Point : [4() - 3][2() - 1] = ( - )( + ) = - <em>This does NOT work</em>
Test Point 1: [4(1) - 3][2(1) - 1] = ( + )( + ) = + THIS WORKS!
Answer: x ≤ or x ≥
Interval Notation: (-∞, ] U [, ∞)
Graph: ←------ --------→
Answer:
the answer is 318184
Step-by-step explanation:
1+1=1
Answer:
14 arcade games and 8 photobooths were purchased
Step-by-step explanation:
x will represent the number of arcade games
y will represent the number of photobooths
We know that 22 total machines were bought which means that x+y=22
We also know that the total was 53600 which means that 2000x+3200y=53600
We can use substitution to solve this
x+y=22
x-22= -y
-x+22=y
Then plug this in for y in the next equation
2000x+3200(-x+22)=53600
Solve this and get x=14
Then plug in x=14 into any equation (I will choose the x+y one because that's easiest to solve)
14+y=22
this means y=8
This means that 14 arcade games and 8 photobooths were purchased
I double checked the math on desmos and it is correct
Answer:
1) 
°
2) 
°
Step-by-step explanation:
1)
As these two angles are supplementary (They add together to equal 180°) we can setup the equation and solve for x.
2)
Again, these two angles are supplementary we can setup the equation and solve for x
