Answer:
Below in bold.
Step-by-step explanation:
x-intercepts (-3,0) and (6, 0)
y-intercept (0, -5)
Axis of symmetry:
(-3 + 6) / 2 = 1.5
x = 1.5.
Domain = all real x.
Range is f(x) ≥ -6.
Graph is positive for x < -3 and x > 6.
Negative for -3 < x < 6.
Increasing for x > 1.5 and decreasing for x < 1.5.
Answer:
The constant of proportionality k = 12
Hence, option A is true.
Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get
y ∝ x
y = kx
Where 'k' is called the constant of proportionality.
In our case,
The given equation is
y = 12x
comparing with the equation y = kx, we can say
k = 12 which is the constant of proportionality.
Therefore, we conclude that:
The constant of proportionality k = 12
Hence, option A is true.
Answer:
Distance = 7.8 units
Step-by-step explanation:
In coordinate geometry, the distance between the 2 points is given by
where (x1,y1) and (x2,y2) are coordinates of the 2 points.
Above the 2 points given are, (-2,-1) and (3,5).
<em>x1 = -2 , y1 = -1 , x2 = 3, y2 = 5</em>
<em>
</em>
<em>
</em>
<em>Distance = 7.8102 units</em>
To the nearest tenth, Distance = 7.8 units
