Answer:
(a) 117.1 billions of dollars
(b) 187.6 billions of dollars
Step-by-step explanation:
The sales S (in billions of dollars) for walgreens from 2000 through 2010 can be modeled by the exponential function.
where t is the time in years, with t = 0 corresponding to 2000.
(a) In 2014, t = 2014 - 2000 = 14
(b) In 2018, t = 2018 - 2000 = 18
The value of <em>x</em> where by exterior angles theorem, ∠DCO equals 2·x, 69° equals the sum of ∠DCO and x° is <em>x </em>= 23°
<h3>What is the exterior angles theorem?</h3>
The exterior angles theorem states that the exterior angle of a triangle is equal to the sum of the opposite interior angles.
The given parameters are;
Points on the circle are; ABCD
Straight lines = AOBE and DCE
Segment CO = Segment CE
∠AOD = 69°
∠CEO = x°
∠OCD = ∠ODC base angles of isosceles triangle
69° = ∠x° + ∠ODC exterior angle of a triangle
∠DOC = 180 - 2×∠ODC (Angle sum property of a triangle)
180 - 2×∠ODC + x° + 69° = 180° (Sum of angles on a straight line are supplementary)
x° + 69° - 2×∠ODC = 0
∠ODC = 2·x° (exterior angle of a triangle is equal to the sum of the opposite interior angles)
69° = x° + ∠ODC = x° + 2·x° = 3·x° (substitution property of equality)
69° = 3·x°
x = 69° ÷ 3 = 23°
Learn more about angles in a triangle here:
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Answer:
I can not tell what the graphs are but you would set up a table and plug it into the x value to calculate the y value
Step-by-step explanation:
____x_________y_______
3 !
2 !
1
0
-1
-2
-3
this is assuming that your brackets would be a straight lines which would be an absolute value
if this is the case, then no matter what the answer for y is . . .Y would always be a positive number with the exception of the 3 or the negative three that would result in a 0 value
I hope this helps
Answer:
Step-by-step explanation:
Simplifying
W + -2 + 2w = 6 + 5w
Reorder the terms:
-2 + W + 2w = 6 + 5w
Solving
-2 + W + 2w = 6 + 5w
Solving for variable 'W'.
Move all terms containing W to the left, all other terms to the right.
Add '2' to each side of the equation.
-2 + W + 2 + 2w = 6 + 2 + 5w
Reorder the terms:
-2 + 2 + W + 2w = 6 + 2 + 5w
Combine like terms: -2 + 2 = 0
0 + W + 2w = 6 + 2 + 5w
W + 2w = 6 + 2 + 5w
Combine like terms: 6 + 2 = 8
W + 2w = 8 + 5w
Add '-2w' to each side of the equation.
W + 2w + -2w = 8 + 5w + -2w
Combine like terms: 2w + -2w = 0
W + 0 = 8 + 5w + -2w
W = 8 + 5w + -2w
Combine like terms: 5w + -2w = 3w
W = 8 + 3w
Simplifying
W = 8 + 3w
