Question

9)

What are equivalent expressions for, 3x2−18x+19
? Select all that apply.

(2 points)
Responses

3(x−3)2−8
3 times open paren x minus 3 close paren squared minus 8

3(x−3)2+45
3 times open paren x minus 3 close paren squared plus 45

(3x2−6x+9)+19−9
open paren 3 x squared minus 6 x plus 9 close paren plus 19 minus 9

(3x2−6x+9)+19+9
open paren 3 x squared minus 6 x plus 9 close paren plus 19 plus 9

3(x2−6x+9)+19+27
3 times open paren x squared minus 6 x plus 9 close paren plus 19 plus 27

3(x2−6x+9)+19−27

Answer 1

3(x−3)2−8
3 times open paren x minus 3 close paren squared minus 8

3(x−3)2+45
3 times open paren x minus 3 close paren squared plus 45

(3x2−6x+9)+19−9
open paren 3 x squared minus 6 x plus 9 close paren plus 19 minus 9

(3x2−6x+9)+19+9
open paren 3 x squared minus 6 x plus 9 close paren plus 19 plus 9

3(x2−6x+9)+19+27
3 times open paren x squared minus 6 x plus 9 close paren plus 19 plus 27

3(x2−6x+9)+19−27

Answer 2

10)

What are the solutions to the quadratic equation x2+6x−6=0
?

(1 point)
Responses

-4.73, -1.27
-4.73, -1.27

-6.87, 0.87
-6.87, 0.87

-13.61, 7.61
-13.61, 7.61

-5.12, -0.87
-5.12, -0.87

-10.75, 4.75
-10.75, 4.75
Question 2
11)

Answer 3

3(x−3)2−8

3(x2−6x+9)+19+27

Answer 4

The correct equivalent expressions for 3x^2−18x+19 are:

3(x−3)^2−8
3(x^2−6x+9)+19-9

Answer 5

To find the solutions to the quadratic equation x^2 + 6x - 6 = 0, you can use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

In this case, a=1, b=6, c=-6

x = (-6 ± √(6^2 - 4*1*(-6))) / 2*1
x = (-6 ± √(36 + 24)) / 2
x = (-6 ± √60) / 2
x = (-6 ± 2√15) / 2
x = -3 ± √15

Therefore, the solutions are:

x = -3 + √15 ≈ 0.87
x = -3 - √15 ≈ -6.87

The correct response is:
-6.87, 0.87