-2x=x^2-6−2x=x 2 −6minus, 2, x, equals, x, squared, minus, 6 1) Rewrite the equation by completing the square.

(x+1)² = 7

Step-by-step explanation:

Given the expression

-2x = x² - 6

Rewrite

x² - 6 + 2x = 0

x²+2x-6 = 0

Add 6 to both sides

x²+2x-6+6 = 0+6

x²+2x = 6

Add square of half of coefficient of x to both sides

Coefficient of x = 2

Half of Coefficient of x = 2/2 = 1

Square of half of Coefficient of x = 1² = 1

Add 1 to both sides

x²+2x + 1= 6 + 1

Factorize the LHS

x²+x+x + 1 = 7

x(x+1)+1(x+1) = 7

(x+1)(x+1) = 7

(x+1)² = 7

hence the equation rewritten by completing the square method is

(x+1)² = 7

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.