Second option.
Functions are typically graphs that do not have a repeating y.
By going through each one of the given choices, you can deduce that only the second option has no repeated y values.
Hope this helps!
So it cuts the y axis at -9 as it has a gradient of 0.
Therefore y=-9 is the equation, as y=mx+c, it intercepts at -9 and has a gradient of 0, therefore y=0x-9 so y=-9.
Answer:
Step-by-step explanation:
(2x−3)(3x+6)
=(2x+−3)(3x+6)
=(2x)(3x)+(2x)(6)+(−3)(3x)+(−3)(6)
=6x2+12x−9x−18
=6x2+3x−18
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
14) t=2hours
15)a=5/4
Step-by-step explanation:
14) The graph of y = -0.5 l t l is an inverted "V-shaped" graph with highest point when t = 0 and y = 0.
To obtain the graph of r = -0.5 l t - 1 l + 0.5, translate the graph of y = -0.5 l t l one unit to the right and 0.5 units upward. The highest point on this graph occurs when t = 1 and r = 0.5.
Maximum rate of rainfall = 0.5 inches/hr
The rain stops when r = 0. So, -0.5 l t - 1 l + 0.5 = 0
l t - 1 l = 1
t - 1 = 1 or t - 1 = -1
t = 2 or t = 0
t > 0, so the rain stops when t = 2 hours
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
15)The vertex of the path of the ball is (6, 0), so the equation
has the form y = a⎜x − 6⎟ . Substitute the coordinates of
the point (5, __5
4) into the equation and solve for a.
y = a ⎜x - 6⎟
_5
4 = a ⎜5 - 6⎟
_5
4 = a ⎜-1⎟
_5
4 = a
An equation for the path of the ball is y =
_5
4
⎜x − 6⎟.
