Answer:
The points corresponding to P=(3,4) and Q=(6,7), so the answer is D.
Step-by-step explanation:
Ok, in mathematics, given two sets X and Y, the collection of all the ordered pairs (X, Y), formed with a first element in X and a second element in Y, is called the Cartesian product of X and Y. The Cartesian product of sets allows define relationships and functions. In this case, it is a function that contains two points, denoted P and Q. Given, the ordered pair of each, first read the one corresponding to the X axis and then to the Y axis.
For P: you read X and you see that it is on 3 (between 2 and 4), and then the Y axis is on 4 (between 3 and 5).
For Q: you read X and you see that it is on 6 (between 5 and 7) and then the Y axis is on 7 (between 6 and 8)
Answer:
2
3
–
3
4
=
– 1
12
Step-by-step explanation: is this the answer?
Answer:
2x^2 - 12x + 16
Step-by-step explanation:
Answer:
Step-by-step explanation:
55 +80 + ∠C = 180 {Angle sum property}
135 + ∠C = 180
∠C = 180 - 135
∠C = 45
The side opposite to the biggest angle is the longest side
Biggest angle is ∠B. So the longest side is AC
Smallest angle is ∠C. So, the shortest side is BA
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