Answer:
x² - 3
This expression is not linear
Step-by-step explanation:
Let x = unknown number
The sum of a number and negative 3
Sum = addition
We are adding the unknown number "x" and -3
So we have x + (-3) or just x - 3
The sum of that is multiplied by the unknown number
So we get ( x - 3 ) x
We can then simplify this expression to get x² - 3x
Any expression with an exponent is not linear. Refer to the attached image for more validation. A linear expression would create a straight line. The expression x² - 3x creates a curved line
Given parameters:
Quadratic expression:
x² - 6x + 7 = 0
Solve using quadratic formula;
x =
From the equation;
a = 1, b = -6 and c = 7
Input the parameters and solve;
x =
x =
x =
x = or
x = 7 or -1
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One method is to plot the points P(3,6) and Q(7,3) on the same xy grid. Plot a third point R at (3,3). See the diagram below.
A right triangle forms in which we can find the legs PR = 3 and RQ = 4. The hypotenuse is found through the pythagorean theorem.
a^2+b^2=c^2
3^2+4^2 = c^2
9+16 = c^2
c^2 = 25
c = sqrt(25)
c = 5
This is the length of PQ
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Or you can use the distance formula which is effectively using the pythagorean theorem just in a slightly different format (though it may not be obvious).
