First, you need to factor the polynomial.
I'll use the trial and error method.
6x^2 - 5x - 6 = 0
6 has factors
6 and 1
3 and 2
I'll try 3 and 2 first.
(3x )(2x ) = 0
Now we need to factor -6.
-6 factors into
-1, 6
-6, 1
-2, 3
-3, 2
Now we need to see if one of these pairs of factors placed correclty will factor the trinomial.
(3x + 2)(2x - 3) = 0
That did it.
Now we use the zero factor property.
3x + 2 = 0 or 2x - 3 = 0
3x = -2 or 2x = 3
x = -2/3 or x = 3/2
Answer:
a.
Period = π
Amplitude = 4
b.
Maximum at: x = 0, π and 2π
Minimum at: x = π/2 and 3π/2
Zeros at: x = π/4, 3π/4, 5π/4 and 7π/4
Step-by-step explanation:
Part a:
Amplitude represents the half of the distance between the maximum point and the minimum point of the function. So the easy way to find the amplitude is: Find the difference between maximum and minimum value of the function and divide the difference by 2.
So, amplitude will be: 
Therefore, the amplitude of the function is 4.
Period is the time in which the function completes its one cycle. From the graph we can see that cosine started at 0 and completed its cycle at π. After π the same value starts to repeat. So the period of the given cosine function is π.
Part b:
From the graph we can see that the maximum values occur at the following points: x = 0, π and 2π
The scale on x-axis between 0 and π is divided into 4 squares, so each square represents π/4
Therefore, the minimum value occurs at x = π/2 and 3π/2
Zeros occur where the graph crosses the x-axis. So the zeros occur at the following points: π/4, 3π/4, 5π/4 and 7π/4
Answer:
x=2
Step-by-step explanation:
2x+10+3x=20
5x=10
x=2
Answer:
No, 31 kilograms is roughly 68 pounds with the stand being able to hold 60 pounds it'd collapse with the TV on top.
Hope that helps and have a great day!
Answer:55
Step-by-step explanation: