a)
f(x) is the same as y
y=1/3 x +4
<span>to find inverse, swap and x and y:
x=1/3 y + 4
x-4= 1/3 y
(x-4) x 3 = y
3x -12= y
the inverse(g(x)), is: 3x-12
b) </span><span>if f(x) and g(x) are inverses of each other, than </span><span><span> (f<span> о
</span><span>g)(x)</span></span> will end up with just "x"
</span>
<span>(f о
<span>g)(x)=x
</span></span><span>(f о
<span>g)(x)= f(g(x))
</span></span><span>(f о
<span>g)(x)= f(3x-12)
</span></span><span>(f о
<span>g)(x)= 1/3(3x-12)+4
</span></span><span>(f о
<span>g)(x)= (3x-12)/3 +4
</span></span><span>(f о
<span>g)(x)= x-4+4
</span></span><span>(f о
<span>g)(x)= x
</span></span>c)
<span>You will find that the graphs are mirror images of each other </span>
the graph for f(x) is an oblique line that passes through the
points(-12,4)
the graph for g(x) is an oblique line that passes
through the points(4,-12)
Answer:
The final answer is 2/15 or 0.133
Step-by-step explanation:
The US States that start with an "N" are:
- Nebraska
- Nevada
- New Hampshire
- New Jersey
- New Mexico
- New York
- North Carolina
- North Dakota
The probability of selecting a state that starts with an N is 8/50
The probability of rolling at least a two is 5/6.
If we multiply the two probabilities together, we get 2/15.
<em>V = 120 in^3</em>
<u><em>Here is why:</em></u>
The volume formula for a pyramid is:
The B stands for the area of the base, which in this case is a right triangle. We will find the area of the right triangle first, then plug it into the equation.
The area formula for a triangle is:
Plug in the numbers.
A = 45
Now we have found the area of B, we can plug it into the volume formula for the pyramid.
V = 120 in^3
No, it isn't!
first, the discount is 20 percent of 18 dollars, that is 18/5=3.6
this means that during the first week the prize is 18-3.6=14.4
now, the prize is marked up 20 % of 14.4! this is 2.88
so the prize later will be 14.4+2.88, that is 17.28, not 18
what is relevant here is what a number is a percent OF
