X * (x + 1) * (x -4) = 84
x^2 + x * (x -4) = 84
x^3 + x^2 -4x^2 -4x = 84
x^3 - 3x^2 -4x -84 = 0
Using the cubic equation calculator:
http://www.1728.org/cubic.htm
x = 6
width 6
length 7
height 2
e is a special number, so you would need to use a calculator to solve this.
a) replace t in the equation with 5 ( 2005 - 2000 = 5 years)
A = 16.6e^0.0457*5 = 20.86 million Round to nearest tenth = 20.9 million.
b) replace A with 23.3 and solve for t:
23.3 = 16.6e^0.0457*t
Divide both sides by 16.6:
1.4036 = e^0.0457t
Take the natural logarithm of both sides:
0.0457t = LN(1.4036)
Divide both sides by 0.457:
t = LN(1.4036)/0.0457
t = 7.419 years, rounded to nearest tenth = 7.4 years.
Answer:
#1 : -2=n
#2: x=-3
#3: v=8
Step-by-step explanation:
the pictures are the explination
i hope they help
sorry if they dont
im a bad explainer
<h3>
Answer: D. y = -x</h3>
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Explanation:
Point T is at (-2,1)
When we reflect it over the line x = 0, aka the y axis, we use the rule
so T(-2,1) becomes T ' (2, 1). The x coordinate flipped in sign, while the y coordinate stays the same.
Then the final transformation is reflecting over y = -x using the rule
. Therefore, the point (2,1) moves to (-1, -2) which is where T'' is located in the diagram.
You apply the same two transformations for the points R and S to get R'' and S'' respectively.
Note: A composition of two reflections, where the lines of reflection aren't parallel, form a rotation. In this case, we have a 90 degree counterclockwise rotation when going from triangle RST to triangle R''S''T''.