Answer:
14
Step-by-step explanation:
now substitute x for -1
now solve
there is your answer! hope this helps! :)
Answer:
18.1 cm
Step-by-step explanation:
Work out CD
⇒ Pythagoras Theorem
Use CD and AD to work out AC
⇒ Pythagoras Theorem
Answer:
The value of g(f(1)) is 84/5
Step-by-step explanation:
To find the answer to a composite function, start with the function on the inside, which is f(1). So, we input 1 into the f(x) equation and evaluate.
f(x) = 6x + 2
f(1) = 6(1) + 2
f(1) = 6 + 2
f(1) = 8
Now that we have the answer of 8, we can input that in for x in the outside function, which is g(x).
g(x) = 2x + 4/5
g(8) = 2(8) + 4/5
g(8) = 16 + 4/5
g(8) = 84/5
The number of handshakes is the number of ways 6 objects can be selected 2 at a time.
.. C(6,2) = 6·5/(2·1) = 15
The appropriate choice is
... C) 15
_____
Consider that each person can shake hands with 5 others. That's a total of 6*5 = 30 handshakes, but it counts both A shaking with B and B shaking with A. If each pair of persons only shakes hands once, the number of handshakes is 30/2 = 15.
The correct answer is option B.
From the graph we can see the following discontinuities:
a) A hole at x = -2
b) A jump at x = 0
c) A hole at x = 8
The hole refers to the point discontinuity and the jump refers to as jump discontinuity. The function is defined and is continuous at x = 3
Thus, the given graph has jump discontinuity at x = 0 and point discontinuity at x = -2 and x = 8
