Which of the following represents the graph of f(x) = 2x − 5?
2 answers:
Answer:
A) graph of exponential rising up to the right, through the point 0, negative 4
Step-by-step explanation:
The given function is f(x) = 2ˣ - 5
The graph of a function is said to be exponential if the function is of the form: f(x) = aˣ, where a is a positive real number but not equal to 1.
Rising means the value of y-intercept or point from where the value of x and y is increasing rapidly.
when we put x = 0 in f(x) then we get f(x) = 2⁰ - 5 = -4
Hence, the graph of the given function is exponential and rising to the right through the point (0, -4).
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Answer:
The correct option is C). When it was purchased, the coin was worth $6
Step-by-step explanation:
Given function is f(t)=
Where t is number of years and f(t) is function showing the value of a rare coin.
A figure of f(t) shows that the graph has time t on the x-axis and f(t) on the y-axis.
Also y-intercept at (0,6)
hence, when time t was zero, the value of a rare coin is 6$
f(t)=
f(0)=
<em>f(0)=6</em>
Thus,
The correct option is C). When it was purchased, the coin was worth $6
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