"No, because using the y-axis tests only whether x = 0 is mapped to multiple values." Shayla probably used the wrong method in finding whether the graph is a function or not.
        
                    
             
        
        
        
Answer:
d=54
Step-by-step explanation:
22 + 15 = d - 17
37=d-17
54=d
d=54
 
        
                    
             
        
        
        
Mean is average
so we have 4 numbers
sum them then divide by 4
(32+31+37+44)=144
divide by 4
144/4=36
answer is C
        
             
        
        
        
Answer:
-4ctv² + 10xyz - 9
Step-by-step explanation:
(2 + 5xyz - 6tv²c) - (11 - 5yxz - 2ctv²)
2 + 5xyz - 6tv²c - 11 + 5yxz + 2ctv²
-4ctv² + 10xyz - 9
I hope this helps!
 
        
             
        
        
        
<span>1. a sine curve with amplitude 2, and period 4pi radians
</span>
the general equation of the sine curve ⇒⇒ y = a sin (nθ)
where: a is the amplitude  and  n = 2π/perid
∵ <span>amplitude 2, and period 4pi radians
</span>
∴ y = 2 sin (θ/2)
The correct answer is option D. y = 2 sin (θ/2)
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<span>2.The period and amplitude of the function ⇒⇒ y = 5 cos 2θ
</span>
<span>comparing with y = a cos nθ
</span>
where : a is the amplitude  and  n = 2π/period
<span>amplitude = 5  , period = 2π/n = 2π/2 = π
</span>
The correct answer is option B. Period: pi radians: Amplitude:5
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3. tan (2π/3) = tan 120° = -√3 
120° lie in the second quadrant and its reference angle = 180° - 120° = 60°
tan function in the second quadrant is negative
∴ tan 120° = - tan 60 = -√3
The correct answer is C. -sqrt3
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4. <span>Tan 5π/6 = tan 150° = -(√3)/3
</span>
150° lies in the second quadrant and its reference angle = 180° - 150° = 30°
tan function in the second quadrant is negative
∴ tan 150° = - tan 30 = -(√3)/3
The correct answer is <span>B.-sqrt3/3</span>