graph the linear equation f(x)= -2/3x

Question

1. decide weather or not the correct factored form of the polynomial is given 9y^2+12y+4 (3y-2)(3y-2)

 

2.use the quadratic equation formula to solve the equation x^2-175=0 (type your answer in radicals a needed)

 

3.factor the trinomial a^2+4a+77

 

4. graph the linear equation f(x)= -2/3x

Answer 1

Question 1 seems misstated.

 

Assume the problem is to determine if

 

(3y-2)(3y-2)=9y²+12y+4

 

Multiply the two factors to get

 

9y²-12y+4

 

So the factored form is not correct.

 

Question 2

 

Given the quadratic equation ax²+bx+c

 

x=(1/2a)[-b±sqrt(b²-4ac)]

 

Here: a=1, b=0, and c=-175

 

x=±(1/2)sqrt(4*175)=±(1/2)sqrt(700)=±(1/2)26.458=±13.229

 

Question 3

 

You have not provided a trinomial.  Moreover, the binomial you have provided has complex roots.  Perhaps you have not provided the correct polynomial.

 

Question 4

 

Let's find two points to plot, then you can draw a line that goes through them.  Substitute two convenient values for x in the equation and find the corresponding y values.

 

If x=0, then y=0

 

If x=3, then y=-2

 

Plot these points and draw a line that goes through them.