Recall that the quadratic factors as:
(x - 3)(x - 5) < 0
Therefore, the intervals that must be tested are
x<3,3 5.
The solution set for the quadratic inequality is:

Option 4:  (3,5)

Step-by-step explanation:

(x - 3)(x - 5) < 0

Therefore, the intervals that must be tested are x < 3 , 3<x<5  and  x>5

Test of the interval  x<3⇒ Let x = 0 ⇒ (-3)(-5) = 15 > 0

Test of the interval  3<x<5 ⇒ Let x = 4  ⇒ (4-3)(4-5) = (1)(-1) = -1 < 0

Test of the interval  x>5⇒ Let x = 6 ⇒ (6-3)(6-5) = (3)(1) = 3 > 0

So, the solution set for the quadratic inequality is the interval 3<x<5

Or x ∈ (3,5)

See the attached figure.

The answer is option 4

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

45

step-by-step explanation: