Good morning ☕️
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Step-by-step explanation:
it has 8 subsets.
>Remember< : the number of subsets that set A have if set A has n elements
equal to 2ⁿ
In this case we A have 3 elements then its number of subsets is 2³=8
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:)
Answer:
Angle B is 44 degrees.
This is a right triangle.
Steps:
The sum of interior angles in a triangle equals 180 degrees. The given triangle is a right triangle.
So A + B + C = 180
We are given A and C.
46 + B + 90 = 180
B + 136 = 180
180 - 136 = 44
Answer:
Step-by-step explanation:
Let r represent red token,
Let o represent orange token,
Let y represent yellow token
Let g represent green token,
A red token is worth twice as much as an orange token. It means that
r = 2o
An orange token is worth 5 less a yellow token. It means that
o = y - 5
A yellow token is worth 15 less than a green token. It means that
y = g - 15
A green token is worth half as much as a blue token. It means that
g = b/2
a blue token is worth B. Therefore, the worth of a yellow token in terms of B would be
Substituting g = B/2 into y = g - 5, it becomes
y = B/2 - 15
The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>
<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>
<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>
Thus average rate of change from x = -1 to x = 2 is 2
