The statements about the function that are true are
The equation of the graph is given as
f(x) = (x - 1)(x + 7)
The graph of the function is added as an attachment
On the graph, we have
Vertex = (-3, -16)
This is so because the graph has a minimum point of (-3, -16)
Also, the graph crosses the x-axis at x = 1 and x = -7
This means that the graph is positive at x >1 and x >-7
Because the vertex is a minimum, the graph is increasing at the left of its symmetry i.e. x > -3
Read more about quadratic functions at
#SPJ1
Given:
The graph of f passes through (-6,9).
It is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24.
To find:
The equation of the function f.
Solution:
The equation of line on which graph of f is perpendicular, is
where, a and b are x and y intercepts respectively.
Multiply both sides by 24.
Slope intercept form is
Slope of this line is 3 and y-intercept is -24.
Product of slopes of two perpendicular lines is -1.
Let the slope of f is m. So,
Slope of m is -1/3 and it passes through (-6,9). So, the equation of function f is
Put y=f(x).
Therefore, the required function is .
Answer:
A maximum of 112 number of 100 - kilograms can be loaded in the container.
Step-by-step explanation:
Given that:
Weight of each crate = 100 kg
The greatest weight that can be loaded in the container = 24000 kg
Weight already loaded in the container = 12800 kg
To find:
The inequality to determine the value i.e. number of 100 - kilograms that can be loaded in the shipping container?
Solution:
Weight already loaded = 12800 kg
Let the number of 100 - kilograms that can be loaded in the container =
Weight of = 100
kg
This combined weight nor be greater than the capacity of the container.
OR we can say, it must be lesser than or equal to greatest weight that can be loaded into the container.
i.e. a maximum of <em>112</em> number of 100 - kilograms can be loaded in the container.