Answer: f(2) = -4
Step-by-step explanation: Here we're given the function f(x) = -3x + 2 and we are asked to find f(2).
In other words, if we put an <em>x</em> into our function, we get a -3x + 2 out so what happens when we put a 2 into the function?
Well if we put a 2 into the function,
that's f(2) and we get -3(2) + 2 out.
Now all we have to do is simplify on the right side.
-3(2) is -6 so we have -6 + 2 which is -4.
So f(2) is -4.
The sum of two numbers will be zero when you have the same number and one is positive and one is negative. For example 1 + -1= 0
Answer:
see explanation
Step-by-step explanation:
If A +B = 45° then tan(A+B) = tan45° = 1
Expanding (1 + tanA)(1 + tanB)
= 1 + tanA + tanB + tanAtanB → (1)
Using the Addition formula for tan(A + B)
tan(A+B) = 
= 1 ← from above
Hence
tanA + tanB = 1 - tanAtanB ( add tanAtanB to both sides )
tanA + tanB + tanAtanB = 1 ( add 1 to both sides )
1 + tanA + tanB + tanAtanB = 2
Then from (1)
(1 + tanA)(1 + tanB) = 2 ⇒ proven
1. The answer is 16^2, so B.
16 x 16 = 256
2. The answer is 17, so B.
Some of the factor of 68 are: 1, 2, 4, 17, 34 and 68.
3. The answer is 15, so B.
Only 15 is composite since it contains more than a factor, which are 3 and 5. The rest of the numbers are prime since they only contain a factor.
4. The answer is 2^2^3^7, so B.
The factor tree:
84
2 x 42
2 x 2 x 21
2 x 2 x 3 x 7
Hope this helps! :)
