X2 + 4x – 9 Can someone give me step by explanation for this vertex form question and write the equation in vertex form?

6x-9

Step-by-step explanation:

2x+4x=6x

add the -9 at the end

thats all

y=(x+2)^2−13

Step-by-step explanation:

Set the polynomial equal to y to find the vertex form.

y=x^2+4x−9

Complete the square for  x^2+4x−9

Use the form ax^2+bx+c , to find the values of a, b, and c.a=1,b=4,c=−9

Consider the vertex form of a parabola. a(x+d)^2+e

Substitute the values of a and b into the formula d= b/2a.

d= 4/2(1)

Cancel the common factor of 4 and 2.

d=2

Find the value of e using the formula e=c− b2/4a.

e=−13

Substitute the values of a, d, and e into the vertex form a(x+d)^2+e.

(x+2)^2−13

Set y equal to the new right side.

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3