Astudent is given the problem: which of the following statements is false?

option C is FALSE, i.e. Completing the square can be used to solve the given equation.

Step-by-step explanation:

Given the problem is x³ + 7x + 9 = 0.

We can solve the problem using "Complete Square method" if it is given in the quadratic form of x² + 2ax + a² = 0 with degree 2.

We see that given problem has degree 3 instead of 2, so we can not complete the square in this problem.

So we have some TRUE facts:-

A. Completing the square can not be used to solve the given equation.

B. Completing the square can only be used to solve a quadratic equation.

D. Completing the square can not be used because of the x³ term.

It means the only False fact is that:-

C. Completing the square can be used to solve the given equation.

Hence, option C is FALSE, i.e. Completing the square can be used to solve the given equation.

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step-by-step explanation:

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer