If f(x) = x2 – 2x, find: f(6)=
2 answers:
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Answer:
x ≈ - 6.74, 0.74
Step-by-step explanation:
x² + 6x - 5 = 0 ( add 5 to both sides )
x² + 6x = 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 5 + 9
(x + 3)² = 14 ( take square root of both sides )
x + 3 = ± ( subtract 3 from both sides )
x = - 3 ±
Then
x = - 3 - ≈ - 6.74 ( to the nearest hundredth )
x = - 3 + ≈ 0.74 ( to the nearest hundredth )
Answer:
Cricket will make 198 chirps per minute when temperature is 100 degrees.
Step-by-step explanation:
We are given the following in the question:
a) The number of chirps per minute, C, that the tree cricket makes is linearly dependent on the temperature, T, in Fahrenheit.
Let this relation be given by the linear equation:
where a and b are constants.
The crickets do not chirp at all below 45 degrees.
When the temperature is 45 degrees, C(T) = 0
Thus, we can write,
At 85 degrees they chirp about 144 times per minute.
Solving the equation, we get,
b) chirps per minute will crickets make at 100 degrees
We put T = 100 in the above equation,
Cricket will make 198 chirps per minute when temperature is 100 degrees.