Answer:
1,200
Step-by-step explanation:
20 X 12 X 5 = 1,200
9514 1404 393
Answer:
f(x) = -1/2x +1
Step-by-step explanation:
The line crosses the y-axis at y=1, so the y-intercept is b=1.
The line drops 1 unit for a run of 2 to the right, so the slope is ...
m = rise/run = -1/2
The slope-intercept form of the equation of the line is ...
y = mx + b
y = -1/2x + 1
In functional form, the equation is ...
f(x) = -1/2x +1
Answer:
The correct option is B.
Step-by-step explanation:
The given function is

The translation of a function is defined as

If a>0, then the graph of f(x) shift a units left and if a<0, then the graph of f(x) shift a units right.
If b>0, then the graph of f(x) shift b units up and if b<0, then the graph of f(x) shift b units down.
It is given that the graph of f(x) shifts 4 units left and 2 units down. So, a=4 and b=-2.

![[\because f(x)=x^3]](https://tex.z-dn.net/?f=%5B%5Cbecause%20f%28x%29%3Dx%5E3%5D)

Therefore option B is correct.
Answer:
The equation for rational function for given asymptotes is
f(x)=(-4x^2-6)/{(x-3)(x+3)}
Step-by-step explanation:
Given:
vertical Asymptotes at x=3 and x=-3 and a horizontal asymptote at
y=-4 i.e parallel to x axis.
To find:
equation of a rational function i.e function in form p/q
Solution;
the equation should be in form of p/q
Numerator :denominator.
Consider f(x)=g(x)/h(x)
as vertical asymptote are x=-3 and x=3
denominator becomes, (x-3) and (x+3)
for horizontal asymptote to exist there should have same degrees in numerator and denominator which of '2'
when g(x) will be degree '2' with -4 as coefficient and dont have any real.
zero.
By horizontal asymptote will be (-4x^2 -6)
The rational function is given by
f(x)=g(x)/h(x)
={(-4x^2-6)/(x-3)(x+3)}.
The answer is to this question is option B