No, simplified: 12x^2-15x=12x-5
Answer: okay so the measure of angle 1 is 72 degrees. Angle 2 is 108 degrees. Angle 3 is 72 degrees. And angle 4 is 108 degrees.
Step-by-step explanation:
I know this because to find angle 1 we are going to subtract 180 degrees from 108 degrees. A straight line like this is 180 degrees. Angle 2 is going to be exactly 108 and angle 3 is also going to be 72 degrees. Angle 4 is 108 degrees because 180-72 is 108
<span>25, 36, 49, 64....
5^2, 6^2, 7^2, 8^2......
so at nth term, it is (n+4)^2
100th term = (100+4)^2 = 104^2 = 10816</span>
Please only post one problem at a time. I'll answer problem 1 to get you started. If you still need help with the rest, then post them as separate posts and I'll have a look at them.
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Notice how x = -1 is the junction point, where one piece transitions to the other
Plug x = -1 into each piece of the piecewise function
So for the first piece we have
b - 2x
b - 2(-1)
b + 2
and similarly for the second piece
-6/(x-b)
-6/(-1-b)
Now set the two expressions equal to each other and solve for b
-6/(-1-b) = b+2
-6 = (b+2)(-1-b)
(b+2)(-1-b) = -6
-b-b^2-2-2b = -6
-b-b^2-2-2b+6 = 0
-b^2-3b+4 = 0
b^2+3b-4 = 0
(b-1)(b+4) = 0
b-1 = 0 or b+4 = 0
b = 1 or b = -4
The value of b with greater absolute value is b = -4 as this value is further from zero (compared to b = 1)
So -4 goes in the box
This is what the graph of f looks like (see attached) when b = -4
The total number of outcomes will be 6. Then the sample space will be {(3,R), (3,S), (3,T), (5,R), (5,S), (5,T)}
<h3>What are Sets?</h3>
Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.
One spinner has three equally sized sectors labeled R, S, and T.
A second spinner has two equally sized sectors labeled 3 and 5.
Then the total number of the event will be
Total event = 3 × 2
Total event = 6
Then the sample space will be
![\rm Sample = \left\{\begin{matrix}3,R & 3,S & 3,T \\\\5,R & 5,S & 5,T \\\end{matrix}\right.](https://tex.z-dn.net/?f=%5Crm%20Sample%20%3D%20%5Cleft%5C%7B%5Cbegin%7Bmatrix%7D3%2CR%20%26%203%2CS%20%26%203%2CT%20%5C%5C%5C%5C5%2CR%20%26%205%2CS%20%26%205%2CT%20%5C%5C%5Cend%7Bmatrix%7D%5Cright.)
More about the sample link is given below.
brainly.com/question/350477
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