Answer:
See answers and explanations
Step-by-step explanation:
A) Discriminant = b² - 4ac = (12)² - 4(9)(4) = 144 - 144 = 0
B) Since the discriminant is 0, this means the equation only has one root.
C) The root is real in this case since the discriminant is not negative. Otherwise, we would have two imaginary roots if it were (remember that complex roots come in pairs)
Set up two fractions:
8/x and 3/5
Set them equal to each other and cross multiply to get:
8*5 = 3x
40 = 3x
13.3 = x or 13 and 1/3 feet tall.
Answer:
208.85
Step-by-step explanation:
It is 208.85 because when you have .8 + .05 =.85
Answer:
Step-by-step explanation:
Given
Midpoint is
Endpoints are and
Mid point of any two point is given by
and
So,
Also
Therefore
Answer:
The initial value is 900
It is experiencing exponential growth by 27%
Step-by-step explanation:
Exponential functions are in the form , where a is the initial value, b is the multiplier, and x is the input, such as how many years past a certain date.
Exponential growth is when the multiplier is above 1.00, or above 100%, because b is determined by 1 + r if you have exponential growth, or 1 - r if you have exponential decay. You will never use negatives with exponential decay.