Answer:
The function touches the damping factor
at x=
and x=
The x-intercept of f(x) is
at x=
Step-by-step explanation:
Given function is f(x)=
and damping factor as y=
and y=
To find when function touches the damping factor:
For f(x)= and y=
Equating the both the equation,
x=
For f(x)= and y=
Equating the both the equation,
x=
Therefore, The function touches the damping factor x= and x=
To find x-intercept of f(x):
For x-intercept, y=0
f(x)=
y=
Hence, is always greater than zero.
Therefore,
x=
Thus,
The x-intercept of f(x) is at x=
50 cents plus 27 nickels equals 1.85
9514 1404 393
Answer:
C. 7 units down
Step-by-step explanation:
The y-coordinate of a point on a graph is the function value. It tells how far up from the x-axis the point is located. When 7 is subtracted from the function value, the y-coordinate is 7 less than it was. That is, the point has moved 7 units down.
A) 9x^2 -18x +9 = 9(x^2 -2x +1) = 3^2*(x -1)^2 = (3(x -1))^2
The length of each side is 3(x -1).
B) 25x^2 -4y^2 = (5x)^2 -(2y)^2 = (5x -2y)*(5x +2y)
The dimensions are (5x -2y) and (5x +2y).
_____
The first question makes use of the "square of a binomial" special form:
(a -b)^2 = a^2 -2ab +b^2
The second question makes use of the "difference of squares" special form:
a^2 -b^2 = (a -b)(a +b)
Answer:
See explanation below
Step-by-step explanation:
Volume = (11)(10)(7) = 770 cubic centimeters
Surface area = (2)(10)(7) + (2)(11)(7) + (2)(11)(10) = 1774 square centimeters
b) Surface area (How much wax can cover the cube)
c) Volume (How much juice will be inside the cube)
