Answer:
<u>Option 4: (3,5)</u>
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 <u>option 4</u>
198 is your answer:
65+66+67 = 198
Hope I helped! You can pick me as brainliest if you want to.
Answer:
y = -5x - 21
Step-by-step explanation:
Given in the question,
equation of a parallel line
y = -5x + 6
point through which it passes
(-4,-1)
Step1
Find the gradient of the equation given, as it is parallel so it will have same gradient
equation of straight line
y = mx + c
where m is gradient
c is y intercept
y = -5x + 6
m =-5
Step2
Find y-intercept
-1 = -5(-4) + c
-1 = 20 + c
c = -20 - 1
c = -21
Step3
form the equation
y = -5x - 21
Check the picture below.
notice, the period is the length of the part in the graph that is being repeated.