Answer:
the equation is y = ax + b (a ≠ 0)
see in the graph, the line passed through (0;3) and (1;5)
=>b = 3
a + b = 5
<=> a = 2
b = 3
=> the equation is y = 2x + 3
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
so plug in x into the function h(x) to get h(x)
h(x) means x in terms of h, you can also think of this as "y"
so at x = -1, y = -2
so,
h(-1) = -2
Answer:
Step-by-step explanation
There are 8 boys and 6 girls and you have to choose 3 of each to go on the picnic. You can do this by doing: 8C3 x 6C3. This equal 56 x 20. So the answer to PART A: 1120 WAYS THE PICNIC TEAM CAN BE FORMED, PART B: 1120 WAYS THE EDUCATION TOUR CAN BE FORMED
this is because if you already choose the picnic team, then the rest of the kids just go to the tour, so the answer is the same for both (1120 ways)
Step-by-step explanation:
We start with Left hand side
We know that csc(x) = 1/ sin(x)
So csc(2x) is replaced by 1/sin(2x)
Also we use identity
sin(2x) = 2 sin(x) cos(x)
4 divide by 2 is 2
Now we multiply top and bottom by sin(x) because we need tan(x) in our answer
We know that sinx/ cosx = tan(x)
Also 1/ sin(x)= csc(x)
so it becomes 2csc^2(x) tan(x) , Right hand side
Hence verified
F(-2) = 3(-2) - 5
f(-2) = -6 - 5
f(-2) = -11
all you need to do is plug in x =-2 into the equation
