Answer:
x = 1.47 or x = -7.47
Step-by-step explanation:
x²+6x+9=20
This is a quadratic equation
x²+6x+9-20=0
x²+6x-11=0
Step 1 : Write the quadratic formula
x = <u>-b±√b²-4(a)(c)</u>
2a
Step 2 : Substitute values in the formula
a = 1
b = 6
c = -11
x = <u>-6±√6²-4(1)(-11)</u>
2(1)
x = <u>-6±√80</u>
2
x = -3 + 2√5 or x = -3 - 2√5
x = 1.47 or x = -7.47
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Answer:
The equation listed is linear because 2x is a constant, meaning that it continuously moves in a straight line in one set direction.
Step-by-step explanation:
ln 5
e = ?
x
Keep in mind that y=e and y = ln x are inverse functions of one another.
ln 5
e , we can drop both the "e" and the "ln 5." We are left with 5 (answer).
ln 5
Alternatively, we could take the ln of both sides of y = e
which will result in ln y = (ln 5) ln e. Note that ln e = 1 (these two functions are inverses of one another).
Then we are left with ln y = ln 5. Dropping the "ln" operator from both sides,
y=5 (same as before).