Answer:
f(x) = 4x² + 9x - 28
Step-by-step explanation:
Create the polynomial by multiplying (4x - 7) and (x + 4) together:
f(x) = 4x² + 16x - 7x - 28, or
f(x) = 4x² + 9x - 28
Next time, please share the given answer choices. Thanks.
We can expand the logarithm of a product as a sum of logarithms:
Then using the change of base formula, we can derive the relationship
This immediately tells us that
Notice that none of 
can be equal to 1. This is because
for any choice of 
. This means we can safely do the following without worrying about division by 0.
so that
Similarly,
so that
So we end up with
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Another way to do this:
Then
So we have
(a ± b)² = a² ± 2ab + b² . . . . . . . (signs match)
The middle term is twice the product of the roots of the other two terms. This tells you the terms of the binomial are the square roots of the end terms.
The sign in the binomial will match the sign of the "2ab" term. The order of terms in the binomial doesn't matter. (a±b)² = (b±a)² when signs match.
Answer:
im not sure but i think its 0.25
Step-by-step explanation:
Answer:
x = -7 ±3i
Step-by-step explanation:
(x+7)^2+9=0
Subtract 9 from each side
(x+7)^2+9-9=0-9
(x+7)^2=-9
Take the square root of each side
sqrt((x+7)^2) = ±sqrt(-9)
We know sqrt(ab) = sqrt(a) sqrt(b)
x+7 = ±sqrt(-1) sqrt(9)
We know that sqrt(-1) is the imaginary number i
x+7 = ±i *3
x+7 =±3i
Subtract 7 from each side
x+7-7 = -7 ±3i
x = -7 ±3i
