Answer:
Option B is correct
Step-by-step explanation:
The equation of a straight line is given as;
y = mx + b
where m is the slope and b is y-intercept
Let’s evaluate the options one after the other;
A. This is wrong as they both have same slope of 2
C. The y-intercepts are not the same
One is 5, the other is -3
D. This is wrong, the line cannot be the same
Option B is correct
The y-intercept of both varies
While 1 is already appreciated, the other is coming back
Answer:
51 DVDs
Step-by-step explanation:
Let the number of DVDs and CDs sold be x each.
<u>Initial</u>
Number of DVDs= 86
Number of CDs= 52
<u>After selling</u>
Number of DVDs= 86 -x
Number of CDs= 52 -x
Given that there are 3 times as many DVDs than CDs left,
86 -x= 3(52 -x)
<em>Expand:</em>
86 -x= 156 -3x
<em>Bring x terms to 1 side, constant to the other:</em>
3x -x= 156 -86
<em>Simplify:</em>
2x= 70
<em>Divide both sides by 2:</em>
x= 35
Amount of DVDs left
= 86 -x
= 86 -35
= 51
Tan²( θ ) - (1 + √3) tan (θ) + √3 = 0
tan²( θ ) - (tan (θ) + √3 tan (θ)) + √3 = 0
tan²( θ ) - tan (θ) - √3 tan (θ) + √3 = 0
tan( θ ) ( tan (θ) - 1) - √3 ( tan (θ) - 1 ) = 0
( tan( θ ) - 1 ) ( tan( θ ) - √3 ) = 0
tan( θ ) - 1 = 0
θ = π/₄
tan( θ ) - √3 = 0
θ = π/₃
so θ = π/₄ and θ = π/₃
Since y has to be larger, the area is above the line.
Since the boundary is included (because of ≥ in stead of >) it should be drawn as a solid line.
Brings us to answer A, right?
See plot below.
A. I took a educated guess
