Answer:

or

Step-by-step explanation:
-7,-3,1,5,... is a arithmetic sequence.
Arithmetic sequences have a common difference. That is, it is going up by 4 each time.
When you see arithmetic sequence, you should think linear equation.
The point-slope form of a line is
.
m is the common difference, the slope.
Any they are using the point at x=1 in the point slope form. So they are using (1,-7).
So let's put this into our point-slope form:


Subtract 7 on both sides:

So your answer is

Answer:1
Step-by-step explanation:
I hope this helps you out
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
<u>Answer:</u>
H(G(x)) = 12x - 52
<u>Step-by-step explanation:</u>
We are given the following two functions:


And we are to find the value of H(G(x)).
For that, we will apply the function of H on the function of G.



H(G(x)) = 12x - 52