Answer:
see below
Step-by-step explanation:
y= 1/2x - 2
To find the x intercept, set y =0 and solve for x
0= 1/2x - 2
Add 2 to each side
2 = 1/2x -2+2
2 = 1/2x
Multiply by 2
2*2 = 1/2x *2
4 =x
The x intercept is 4
Answer:

Step-by-step explanation:

Answer:
number 1 is 2 number 2 is 15 number 4 is 30
Step-by-step explanation:
Answer:
The common difference is same = d = -9
Therefore, the data represent a linear function.
Step-by-step explanation:
Given the table
x y
1 4
2 -5
3 -14
4 -23
5 -32
Finding the common difference between all the adjacent terms of y-values
d = -5 - 4 = -6,
d = -14 - (-5) = -14+5 = -9
d = -23 - (-14) = -23 + 14 = -9
d = -32 - (-23) = -32 + 23 = -9
It is clear that the common difference between all the adjacent terms is same.
Thus,
d = -9
We know that when y varies directly with x, the function is a linear function.
Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.
i.e. The common difference is same = d = -9
Therefore, the data represent a linear function.
Answer:
5
Step-by-step explanation:
Since the difference in each term number is 5, we put 5 in the place of the star.
Formula for constant difference in a pattern: Tn= an+b
a is the difference while b is the number that comes before the 1st term. So, the equation to find the nth term is Tn=5n+4.
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