A rectangular box has length x and width 3. The volume of the box is given by y = 3x(8 – x). The greatest x-intercept of the gra
ph of this polynomial equals which of the following? Choose all that apply.
1 answer:
Answer:
The maximum length (x) of the rectangular box
The minimum volume (y) of the rectangular box
The minimum height (8-x) of the rectangular box
Step-by-step explanation:
we have
This is the equation of a vertical parabola open downward
The vertex is a maximum
Remember that
The x-intercept is the value of x when the value of y is equal to zero
The x-intercepts of the equation are
(0,0) and (8,0)
therefore
The greatest x-intercept is the point (8,0)
see the attached figure
Remember that x represent the length of the box
therefore
The greatest x-intercept of the graph of this polynomial equals to
The maximum length (x) of the rectangular box
The minimum volume (y) of the rectangular box
The minimum height (8-x) of the rectangular box
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Answer:
Q-12 The vertical length of the top part of elevator to ground is 0.8484 meters .
Q -14 The glide runway path is 24,752.47 feet .
Step-by-step explanation:
Q - 12
Given as :
The diagonal length of the elevator = e = 1.2 meters
The vertical length of the top part of elevator to ground = x meters
The angle made by elevator with ground = Ф = 45°
<u>Now, According to figure</u>
Sin angle =
Or, Sin Ф =
Or, Sin 45° =
Or, 0.707 × 1.2 meters = x
∴ x = 0.8484 meters
So, The vertical length of the top part of elevator to ground = x = 0.8484 meters
Hence,The vertical length of the top part of elevator to ground is 0.8484 meters . Answer
Q-14
Given as:
The altitude of decent of plane = H = 10,000 feet
The angle of descend = Ф = 22°
Let the glide runway path = y feet
<u>Now, According to question</u>
Tan angle =
Or, Tan Ф =
Or, Tan 22° =
Or, 0.4040 =
Or, y =
∴ y = 24,752.47
So,The glide runway path = y = 24,752.47 feet
Hence, The glide runway path is 24,752.47 feet . Answer