Explain how to use factoring to solve the equation: 2x^2 + 5x = 3..

x = 1/2                           x=-3

Step-by-step explanation:

2x^2 + 5x = 3

Subtract 3 from each side

2x^2 + 5x - 3 = 3-3

2x^2 + 5x -3=0

(2x    )(x    )

Since we need to multiply to -3, the factors are

-1,3  or 1.-3

We need to add to 5

We will want to multiply the 2 and 3  and this will need to be positive

(2x    ) (x  + 3 )

The 1 will be negative

(2x -1   ) (x  + 3 ) =0

Using the zero product property

(2x -1   ) =0            (x  + 3 ) =0

2x-1+1=0+1                 x+3-3=0-3

2x =1                          x=-3

x = 1/2                           x=-3

1/2 or -3

Step-by-step explanation:

2x2+5x=3

Bring 3 to the other side

2x2+5x-3=0

Factorise

Factors of -6 that will give +5= +6 &-1

2x2+6x-x-3=0

2x(x+3)-1(x+3)=0

(2x-1)(x+3)=0

2x-1=0

2x=1

X=1/2 or

X+3=0

X= -3

Therefore

X=1/2 or -3

1. sometimes

2.   never

3   .08c = 7.50+.05c   250 pages

step-by-step explanation:

1.   sometimes

the theoretical probability of rolling a 1 is 1/6.   perhaps you got really lucky and never rolled a 1   in those 60 times.   your experimental probability is 0.   or perhaps you rolled a 1   20 times.   your experimental probability is 20/60 is 1/3.     it really just depends on how you rolled in that experiment.

2.   never

the probability of the event occurring is 1.   that is being 100 % sure it will happen.   that is the maximum amount of confidence we have.

3.   no customer card cost:   .08 times number of pages

customer card cost:   7.50 + .05 times number of pages

we want to find when it costs the same amount, so we will set these equal

let c = number of pages

.08c = 7.50+.05c

subtract .05c from each side

.08c-.05c = 7.5+.05c-.05c

.03c=7.5

divide each side by .03

.03c/.03 = 7.5/03

c =250  

the cost is the same at 250 pages