Answer:
g(x) has the greater max: 11 versus 6
Step-by-step explanation:
One can readily discern the max value of the graph; it is 6 and occurs at x =1.
Regarding the function g(x) = (-1/2)x^2 + 4x + 3: Find the vertex, which also represents the max value:
Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:
x = -b/(2a), which here is x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4
At x = 4, the function (y) value is
g(4) = (-1/2)(4)² + 4(4) + 3, or
g(4) = -8 + 16 + 3, or 11
This is greater than the max value of the graphed function.
Answer:
Step-by-step explanation:
<u>Given:</u>
- Initial value is 45000.
- Reduction per day is 18%.
<u>The equation would be:</u>
, where C(t) is the number of candies left after t days
<u>Find the value of C(5):</u>
- C(5) = 45000*0.82⁵ ≈ 16683 rounded
Your answer would be "If you are in Miami, then you are in Florida."
If this answer is incorrect, then I am sorry.
(Also this question belongs in the Ela section, not the mathematics)
Answer:
- 66 mph to visit
- 55 mph to home
Step-by-step explanation:
An equation can be set up and solved based on the relation between the two speeds and the relation between time, speed, and distance.
<h3>Setup</h3>
time = distance/speed
Let x represent the (slower) speed on the way home. Then the total time for the round trip was ...
time going + time coming home = total time
270/(x +11) +270/x = 9
<h3>Solution</h3>
30x +30(x +11) = x(x +11) . . . . . . multiply by x(x+11)/9
x^2 -49x -330 = 0 . . . . . . . . rewrite in standard form
(x -55)(x +6) = 0 . . . . . . . . factor
x = 55 or x = -6 . . . . . . . solutions to this equation; x < 0 is extraneous
Justin's rate on the way there was 66 mph; on the way home, it was 55 mph.
