Make a reasonable conjecture for the term 100 5 90 10 80 15 70

steps below

Step-by-step explanation:

1. The series contains a combination of two arithmetic sequence series. The number series in the odd position (100,90,80,..) is an arithmetic series with a common difference of 10, and the even number group (3,10,15,...) is another arithmetic series with a common difference of 5.

2. sequence 1 (Odd): a₁ = 100 d = 10   next term is 60

   sequence 2 (Even): a₁ = 5 d = 5   next term is 20

3. next 2 terms of the series are 60, 20

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x