Answer:
B. is greater than
Step-by-step explanation:
As the graph of function f(x) is a parabola, so that the equation of function f(x) is: f(x) = 
As it can be seen in thee figure, the graph of function f(x) cross points (0;8) ;(-2; 0) and (4;0)
=> f(0) = 8; f(-2) = 0; f(4) = 0
We have:
- f(x=0) = a x 0 + b x 0 + c = 8 => c = 8
- f (x=-2) =
= 4a -2b + 8 = 0
- f (x=4) =
= 16a + 4b + 8 = 0
We have:
+) 4a -2b + 8 = 0 => 2 x (4a -2b + 8) = 8a - 4b + 16 = 0 (1)
+) 16a + 4b + 8 = 0 (2)
We take (2) minus (1)
=> (16a + 4b + 8) - (8a - 4b + 16) = 0
=> 8a - 8 = 0 => a = 1
Replace a = 1 into (1)
=> 8 x 1 - 4b + 16 = 0 => b = 6
So that: 
f (2) = 2^2 + 6 x 2 + 8 = 24
g (2) = 3 -2 + 2 = 3
<em>=> f(2) is greater than g(2)</em>
Answer:
The equation is H = 495 -6t
Step-by-step explanation:
Here, we want to write an equation that will represent the height Juan is above the ground, after t seconds.
The height we want to calculate is H. The initial height is 495 foot;
At the first second, the decrease in height will be 6 * 1, at the second 6 * 2 and thus at t seconds, the decrease in height will be 6 * t = 6t
Ask the height after t seconds will be;
H = 495 - 6t
Where t represents the time in seconds
<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>
The initial fee charged by the electric company is; C = $10
To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.
y = mx + c.
- where m = slope of the relation.
- and c = <em>intercept = the initial fee charged by the electric company</em>.
- y = <em>Monthly charge at each time</em>.
To find the slope;
By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).
Therefore, m = 0.12 , y = 82 and X = 600;
we then have;
Therefore, the initial fee charged by the electric company is; C = $10.
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Answer:
1. 44h + 12g
2. 9ab + 13a
supercalifragislisticexpialidocious
Answer:
Step-by-step explanation:
the answer is A