Trish is solving for the zeros of the quadratic function f(x) = 2x2 – 3x + 3.
x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
x = StartFraction negative (negative 3) plus or minus StartRoot (negative 3) squared minus 4 (2)(3) EndRoot Over 2 (2) EndFraction
x = StartFraction 3 plus or minus StartRoot b 9 + 32 EndRoot Over 4 EndFraction
x = StartFraction 3 plus or minus StartRoot 41 EndRoot Over 4 EndFraction
Did Trish find the correct zeros of this function? Explain.
Yes, those are the two real number zeros.
No, the two real number zeros are StartFraction negative 3 plus or minus StartRoot 41 EndRoot Over 4 EndFraction.
No, the two real number zeros are StartFraction 3 plus or minus StartRoot 41 EndRoot Over negative 4 EndFraction.
No, the function has no real number zeros.

No the function has no real number zeros.

Step-by-step explanation:

We know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

in this problem

equate the function zero

so...

Substitute the formula

remember that

The function has no real number zeros.

5x+2x=49

7x=49

x=7. 35 apples

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