Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply.
f(x) = x2 + 6x + 8
g(x) = x2 + 4x + 8
h(x) = x2 – 12x + 32
k(x) = x2 + 4x – 1
p(x) = 5x2 + 5x + 4
t(x) = x2 – 2x – 15

Step-by-step explanation:

We need to write the function that have two real number zeros by calculating the discriminant i.e. .

We know that,

If D>0  the roots are real and unequal

If D= 0 roots are real and equal

If D< 0 roots are imaginary or not real and unequal

Function (1)

D>0  the roots are real and unequal

Function (2)

D<0  the roots are real and unequal

Function (3)

D>0  the roots are real and unequal

Function (4)

D>0  the roots are real and unequal

Function (5)

D<0  the roots are real and unequal

Function (6)

D>0  the roots are real and unequal

(1),(3),(4) and (6) have two real number zeroes.

x > 1.3

step by step:

8.5−0.9x> 9.8−1.9x

step 1: simplify both sides of the inequality.

−0.9x+8.5> −1.9x+9.8

step 2: add 1.9x to both sides.

−0.9x+8.5+1.9x> −1.9x+9.8+1.9x

1x+8.5> 9.8

step 3: subtract 8.5 from both sides.

1x+8.5−8.5> 9.8−8.5

1x> 1.3

step 4: divide both sides by 1.

1x/1 > 1.3/1