F(x) = ax2 - 12, g(x) = 2x +3, and f(3) = 24. What is the value of g(f(2)) ?
2 answers:
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(a) Truck carries 90 gallons of diesel fuel to 660 miles.
So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.
30 gallons of diesel fuel to = 220 miles.
Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.
Join (660, 90) and (220, 30), we get the graph of a line.
Note that (0, 0) is also a point on the line.
Equation of the line is .
(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].
Hence, the domain of the function is [0, 660].
(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.
Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
There is a cyclic quadrilateral.
As we know that "Sum of opposite angles in a cyclic quadrilateral is supplementary.":
so, it becomes,
Hence, the measure of ∠1 = 94°
Therefore, Third option is correct.