Answer:
345 calories.
Step-by-step explanation:
We have been given that there are 230 calories in 4 ounce of a type of ice cream.
First of all let us find calories per ounce ice-cream by dividing 230 by 4.


Therefore, the ice-cream contains 57.5 calories per ounce of ice-cream.
Let us find amount of calories in 6 ounces of ice-cream by multiplying number of calories per ounce by 6.


Therefore, there are 345 calories in 6 ounces of ice cream.
Answer:
49/144
Step-by-step explanation:
9514 1404 393
Explanation:
<h3>Part 1.</h3>
The inverse of a function y = f(x) can be found by solving x = f(y) for y.
When we do that here, we find ...

When we compare this to g(x), which we want to be the inverse of f(x), we see that ...
cx -d = bx -a ⇒ b=c, and d=a
We can choose a=d=1 and b=c=2 to make the two functions inverses:
f(x) = (x +1)/2
g(x) = 2x -1
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<h3>Part 2.</h3>
The inverse of f(x) is g(x) if f(g(x)) = x.
f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f
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<h3>Part 3.</h3>
Same as Part 2, but in reverse.
g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x
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<h3>Part 4.</h3>
The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.
Answer: x = 5π/6Explanation:1) Given function: 
2) x-intercept are the roots of the function, i.e. the solution to
y = 03) to find when y = 0, you can either solve the equation or look at the graph.
4) Solving the equation you get:
y = 0 ⇒ tan(x - 5π/6) = 0 ⇒ x - 5π/6 = arctan(0)arctan(0) is the angle whose tangent is zero,so this is 0
⇒ x - 5π/6 = 0 ⇒ x = 5π/6.Then, one example of an x-intercept is x = 5π/6, which means that when x = 5π/6, the value of the function is 0.
Since, the tangent function is a periodic function, there are infinite x-intecepts, that is why the questions asks for one example and not all the values.
You can
verify by replacing the value x = 5π/6 in the given function:
y = tan (5π/6 - 5π/6) = tan(0) = 0.