What is the range of y=−x2−6x+1?
1 answer:
Answer:
All real numbers / (-∞, ∞) / R
Step-by-step explanation:
The equasion provided is a linear equasion meaning it can be written in the y=ax+b format, where both a and b are real numbers. All linear eqasions have a range of all real numbers, you can write this using the three solutions provided.
You can solve this two ways, number one would be to put this in a graphing calculator and number two would be reducing the equasion to the y=ax+b format.
<h2>Method 1:</h2>look at image provided. The app is PhotoMath.
<h2>Method 2:</h2>Write the equasion:
y = -2x - 6x + 1
Collect like terms:
y = -8x + 1
This now proves that the equasion is linear becuase you can write it in the y=ax+b format. a being -8 and b being 1.
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Answer:
Step-by-step explanation:
Exponential function representing final amount with compound interest compounded continuously,
Here, A = Final amount
P = principal amount
r = Rate of interest
t = Duration of investment
For P = $9600
r = 6%
A = 2 × 9600 = $19200
By substituting these values in the formula,
ln(2) = 0.06t
t =
t = 11.55245
t ≈ 11.5525 years
Any amount will get doubled (with the same rate of interest and duration of investment) in the same time.
Therefore, $960000 will get doubled in 11.5525 years.