(x-9)(x-3), because -9 and -3 make a sum of -12 and a product of +27
Answer:
102.3
Step-by-step explanation:
a_38 = -5
difference d= -2.9
We use general formula

WE make the formula for a_38 th term
Plug in 38 for n

Now plug in -2.9 for d and -5 for a_38


Now add 107.3 on both sides
102.3 = a_1
option A is correct
Answer:
- <u><em>g∘f (0) = 1</em></u>
Explanation:
The <em>composition</em> of the <em>functions</em> f and g represented by g ∘ f ( 0 ) means that g is applied to f(0), i.e f(0) is the input to the function g.
Since f(0) = 1, you are going fo find g(1):

Answer:
the answer is d
Step-by-step explanation:
Answer:
C. The 6th term is positive/negative 80
Step-by-step explanation:
Given
Geometric Progression


Required

To get the 6th term of the progression, first we need to solve for the first term and the common ratio of the progression;
To solve the common ratio;
Divide the 7th term by the 5th term; This gives

Divide the numerator and the denominator of the fraction by 40
----- equation 1
Recall that the formula of a GP is

Where n is the nth term
So,


Substitute the above expression in equation 1
becomes


Square root both sides

r = ±
Next, is to solve for the first term;
Using 
By substituting 160 for T5 and ±
for r;
We get


Multiply through by 16



Now, we can easily solve for the 6th term
Recall that the formula of a GP is

Here, n = 6;



r = ±
So,
or 
or 
or 
±80
Hence, the 6th term is positive/negative 80