ANSWER
The rule is given by the relation,

EXPLANATION
We need to check and see if there is a constant difference between the y-values.

We can see that, there is a constant difference of 2.
This means that the table represents a linear relationship.
Let the rule be of the form,

Then the points in the table should satisfy the above rule.
So let us plug in

This implies that,



Our rule now becomes,

We again plug in another point say, (-1,-1) in to equation (1) to get,

we solve for m now to obtain,



We now substitute back in to equation (1) to get
Answer:
Step-by-step explanation:
Answer: It's 35.5 and 38.5
Step-by-step explanation:
First, subtract 74 by 3 giving you 71.
Next, divide 71 by 2; it gives you 35.5 (that's your first number).
Then, add the 3 that you took away to 35.5 and get 38.5 (that's your second number).
Answer:
True, false, true, true.
Step-by-step explanation:
The roots zeros of a quadratic function are the same as the factors of the quadratic function. This is true because your roots are your factors—>(x-3) is a factor, x=3 is the root.
The roots zeros are the spots where the quadratic function intersects with the y-axis. No! Those are called y-intercepts!
The roots zeros are the spots where the quadratic function intersects with the x-axis. True. X-intercepts are your solutions. (x-3) graphed would the (3,0). That’s a solution.
There are not always two roots/zeros of a quadratic function, True. No solution would be when your quadratic doesn’t intersect the x-axis. One solution would be when your vertex would be on the x-axis. Two solutions is when your quadratic intersects the x-axis twice. Can there be infinite solutions? No. It’s either 0, 1, or 2 solutions.