(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: ←------ --------→
Start with a proportion, to get the number of degrees in 30 seconds:
(150 degrees / 5 seconds) = ('D' degrees / 30 seconds) .
Cross multiply the proportion: (150 x 30) = 5 x D
4,500 = 5 x D
Divide each side by 5 : 900 = D
The globe turns 900 degrees in 30 seconds.
How many rotations is that ?
Each rotation is 360 degrees.
So 900 degrees is
(900 / 360) = <em>2.5 rotations</em> in 30 seconds.
Answer:
Step-by-step explanation:
Let the number of free throws = x
And the number of regular field goals = y
Total shots made by the team = 31
Equation for the shots will be,
x + y = 31 ------(1)
If the team gets 1 point for free throws and 2 points for a regular field goal,
x + 2y = 49 --------(2)
[total points gained by the team = 49]
1). Option (2) is the correct option.
2). Subtracting equation (1) from equation (2),
(x + 2y) - (x + y) = 49 - 31
y = 18
Therefore, number of regular field goals made by the team = 18
Answer:
Your answer should be the second one.
When you multiply everything in the parenthesis that's what your answer should come to.
Answer:4
Step-by-step explanation: please just trust me!
