Answer:
r= -6
Step-by-step explanation:
expand and get
5r+45-2+2r=1
7r+43=1
7r=1-43
7r=-42
r=-6
Log₄(2 – x) = log₄(–5x – 18).
Since the logs have the same basis (4) & are equal then:
(2 – x) = (–5x – 18). . Now solve for x & you will find x = -5
Answer:
B. 3, 3, 2
Step-by-step explanation:
The triangle inequality requires the sum of the lengths of the two shortest sides exceed the length of the longest side. That is the case only for the lengths of selection B:
2 + 3 > 3
Answer:

Step-by-step explanation:
A standard polynomial in factored form is given by:

Where <em>p</em> and <em>q</em> are the zeros.
We want to find a third-degree polynomial with zeros <em>x</em> = 2 and <em>x </em>= -8i and equals 320 when <em>x </em>= 4.
First, by the Complex Root Theorem, if <em>x</em> = -8i is a root, then <em>x </em>= 8i must also be a root.
Therefore, we acquire:

Simplify:

Expand the second and third factors:

Hence, our function is now:

It equals 320 when <em>x</em> = 4. Therefore:

Solve for <em>a</em>. Evaluate:

So:

Our third-degree polynomial equation is:
