A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function f(x)=-5x2+6x+100 (graphed below) represents this situation where x is time and y is the distance off of the ground.e. What would the new function be? What kind of transformation is this?
f. Would you still use the same domain and range? Why or why not?
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Answer:
a) The domain of the function is . , , b)The range of the function is . , , c) The ball is 73 meters off of the ground at x = 3 seconds.Step-by-step explanation:The complete statement is: A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function represents this situation where x is time and y is the distance off of the ground. a) What domain does the function make sense? b) What range does the function make sense ? c) How far off the ground is the ball at time x = 3 seconds?a) Let and be the time, measured in seconds, and the distance of the ground, measured in meters, respectively. Time is a positive variable, so domain corresponds to the interval when and . That is: Therefore, the domain of the function is . , b) The distance off of the ground is also a positive variable, where ball is thrown upward at a height of 100 meters and hits the ground at a height of 0 meters. Hence, the range of the function is . , c) The distance of the ball off of the ground at x = 3 seconds is found by evaluating the function:The ball is 73 meters off of the ground at x = 3 seconds.
Step-by-step explanation:
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A+15 = -8 I need help solving this
Which functions have a positive rate of change and which have a negative rate of change?Column A Column B1. 2x – 3y = 9 A. positiveB. negative 2. y = −4x + 53. x y−1 −51 13 74. x y1 −22 −63 −10
0.007 is 1\10 of what because I don't make sense
Round 19.98 to the nearest whole number
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The solution is:
small square side = 9 inches
large square side = 9 + 3 = 12 inches.
What is area ?
Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object. Area of a square (A) is the product of its length (l) and width (l).
i.e. A= l× l
Let the smaller square have a side length of s
The the larger square have a side length of s + 3
Total area of the two squares is 225
Formula
s^2 + (s + 3)^2 = 225
Expand
we get,
Solution
s^2 + s^2 + 6s + 9 = 225
2s^2 + 6s + 9 = 225
Subtract 225 from both sides
2s^2 + 6s - 216 = 0
This factors.
( x - 9)(x + 12) = 0
x - 9 =0
x + 12 = 0
x = 9 is the only valid root for this question.
Hence, The solution is:
small square side = 9 inches
large square side = 9 + 3 = 12 inches.
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complete question:
The length of each side of a square is 3 in more than the length of each side of a smaller square. The sum of the areas
the squares is 225 in. Find the lengths of the sides of the two squares.
A side of the small square is in.; a side of the big square is in.
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(8/9)*x = (4/9)*x+8 // - (4/9)*x+8
(8/9)*x-((4/9)*x)-8 = 0
(8/9)*x+(-4/9)*x-8 = 0
4/9*x-8 = 0 // + 8
4/9*x = 8 // : 4/9
x = 8/4/9
x = 18
x = 18
steps:
subtract 4/9 from both sides and you have
4/9x=8
then divide 8 by 4/9 (or multiply by the reciprocal 9/4)
9x8= 72
4x1 =4
72/4 simplifies down to 18
x=18
Hope this Helped!!
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