Answer:
x3+7x-3
Step-by-step explanation:
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
By applying Cathetus theorem, the value of x is equal to 10 units.
<h3>How to determine the value of x?</h3>
In order to determine the value of x, we would apply Cathetus theorem (leg rule), which states that each leg of a right-angled triangle is the geometric mean that's directly proportional between the hypotenuse and the part of the hypotenuse that's directly below the leg.
In this context, we have:
x² = m × a
x² = (21 + 4) × 4
x² = 25 × 4
x² = 100
x = √100
x = 10 units.
Read more on Cathetus theorem here: brainly.com/question/11357448
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