Answer:
a₄ = 12
Step-by-step explanation:
To obtain the terms in the sequence add 2 to the previous term, that is
a₂ = a₁ + 2 = 6 + 2 = 8
a₃ = a₂ + 2 = 8 + 2 = 10
a₄ = a₃ + 2 = 10 + 2 = 12
The answer is the slope m=1
The sign of f on the interval -5/3 is negative
<h3>How to determine the sign?</h3>
The function is given as:
f(x)=(2x−1)(3x+5)(x+1)
The zeros of the function are
x= -5/3, x= -1 and x= 1/2
Next, we plot the graph of the function
At x = -5/3, the function approaches negative infinity
This means that the sign of f on the interval -5/3 is negative
Read more about function intervals at:
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Answer:
Step-by-step explanation:
<u><em>Given equation is</em></u>
Adding 42 to both sides
Completing squares
Adding (3)² => 9 and (3)² => 9 to both sides
Comparing it with 
where Center = (h,k) and Radius = r
We get:
Center = (3,3)
Radius = 
Answer:
420 cm, 4.3 meters, 4600 mm, 0.04 km
Step-by-step explanation:
We can solve this by converting each to the same unit. I will be using meters.
0.04 km
1 km = 1000 meters
1000 meters / 1 km = 1
multiply 0.04 km by 1 = 1000 meters / 1 km , keeping the km at the bottom to cross out
0.04 km * 1000 meters / 1 km = 40 meters
420 cm
100 cm = 1 meter
1 meter / 100 cm = 1
multiply 420 cm by this, keeping cm at the bottom so it crosses out
420 cm * 1 meter / 100 cm = 4.2 meters
4600 mm
1000 mm = 1 meter
1 meter / 1000 mm = 1
4600 mm * 1 meter / 1000 mm = 4.6 meters
Therefore, our order is
420 cm, 4.3 meters, 4600 mm, 0.04 km
