Step-by-step explanation:
Notation x^2-6x-7<0
x2−6x−7<0
Convert the inequality to an equation.
x2−6x−7=0
Factor
x2−6x−7
using the AC method.
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(x−7)(x+1)=0
Set
x−7=0
and solve for x.
Set the factor equal to 0.
x−7=0
Add
7
to both sides of the equation.
x=7
Set
x+1=0
and solve for x.
x=−1
Consolidate the solutions.
x=7,−1
Use each root to create test intervals.
x<−1−1<x<7x>7
Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.
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x<−1
False
−1<x<7
True
x>7
False
The solution consists of all of the true intervals.
−1<x<7
Convert the inequality to interval notation.
(−1,7)
Answer:
Your teacher is right, there is not enough info
Step-by-step explanation:
<h3>Question 1</h3>
We can see that RS is divided by half
The PQ is not indicated as perpendicular to RS or RQ is not indicates same as QS
So P is not on the perpendicular bisector of RS
<h3>Question 2</h3>
We can see that PD⊥DE and PF⊥FE
There is no indication that PD = PF or ∠DEP ≅ FEP
So PE is not the angle bisector of ∠DEF
25 meters per second x 60 seconds = 1500 meters per minute
1500 meters per minute x 60 minutes per hour = 90,000 meters per hour
1 mile = 1609.34 meters
90000/1609.34 = 55.92 miles per hour
round answer to either 55.9 or 56 mph depending on what you need.
The first one: A=-15
Second one: B= -0.5
Third one: C= 0.01
Your answer is 63. 54+63+63=180
