4x + 8(3x-7) = 22x -65 distributive property
4x +24x -56 = 22x -65distributive property
28x -56 = 22x -65 additive property
6x = -9 subtractive property
x = -3/2 division

7 0

3 years ago

Rewrite each expression by completing the square q^2+12q+32

julia-pushkina [17]

The given expression can be written as $q^{2} +12q+32$ = (q+8)(q+4).

Step-by-step explanation:

Given,

$q^{2} +12q+32$

To make it a complete square.

Formula

(a+b)² = $a^{2} +2ab+b^{2}$

$a^{2} -b^{2} = (a+b)(a-b)$

Now,

$q^{2} +12q+32$

= $q^{2} +2.q.6+6^{2} -6^{2} +32$

= (q+6)²-36+32

= (q+6)²-4

= (q+6)²-2²

= (q+6+2)(q+6-2)

= (q+8)(q+4)

7 0

3 years ago

Raphael buys one raffle ticket.

garri49 [273]

Answer:

There is a 1/250 chance that his ticket will be chosen

There is a 249/250 chance that his ticket will not be chosen

Step-by-step explanation:

Hope that helps!

4 0

2 years ago