5. Stephanie has an aquarium. What is the volume capacity of the aquarium?
1 answer:
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Answer:
A. 3
B. 4
C. 1
D. 2
Step-by-step explanation:
Consider all equations:
A.
This is the equation of parabola with vertex at point
The y-intercept is at point
Since
,
the x-intercepts are at points (2,0) and (4,0)
The leading coefficient is 1 > 0, then the parabola opens upwards.
Hence, the graph of this parabola is 3.
B.
This parabola has two x-intercepts at points (6,0) and (-8,0).
The leading coefficient is 1 > 0, then the parabola opens upwards.
The only possible choice is parabola 4.
C.
This parabola has the vertex at point (6,8), opens upwards, therefore does not intersect the x-axis.
The graph of this parabola is 1.
D.
This parabola has two x-intercepts at points (6,0) and (-8,0).
The leading coefficient is -1 > 0, then the parabola opens downwards.
The only possible choice is parabola 2.
Answer:
Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram attached.
Slope is the change in coordinate of the y coordinate to the x coordinate.
Mathematically, slope m = ∆y/∆x
From the diagram ∆y is the same as 3 (along the vertical) while ∆x is the same as 1 (along the horizontal)
m = ∆y/∆x = 3/1
∆y/∆x = 3/1
y/x = 3/1
Cross multiply
y × 1 = 3 × x
y = 3x
Hence the slope of the line is y = 3x
