f(x)=x3−5
Replace f(x)
with y
.
y=x3−5
Interchange the variables.
x=y3−5
Solve for y
.
Since y
is on the right side of the equation, switch the sides so it is on the left side of the equation.
y3−5=x
Add 5
to both sides of the equation.
y3=5+x
Take the cube root of both sides of the equation to eliminate the exponent on the left side.
y=3√5+x
Solve for y
and replace with f−1(x)
.
Replace the y
with f−1(x)
to show the final answer.
f−1(x)=3√5+x
Set up the composite result function.
f(g(x))
Evaluate f(g(x))
by substituting in the value of g into f
.
(3√5+x)3−5
Simplify each term.
Remove parentheses around 3√5+x
.
f(3√5+x)=3√5+x3−5
Rewrite 3√5+x3
as 5+x
.
f(3√5+x)=5+x−5
Simplify by subtracting numbers.
.
Subtract 5
from 5
.
f(3√5+x)=x+0
Add x
and 0
.
f(3√5+x)=x
Since f(g(x))=x
, f−1(x)=3√5+x is the inverse of f(x)=x3−5
.
f−1(x)=3√5+x
6 cds total was 85.75 and there was a 5.04 tax so take 85.75 - 5.04 = 80.70
80.70÷6= 13.45
9514 1404 393
Answer:
$1571
Step-by-step explanation:
If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...
ymax = $1571
The maximum profit the company can make is $1571 at a selling price of $45 each.
_____
The function can be written in vertex form as ...
y = -(x^2 -90x) -454
y = -(x^2 -90x +45^2) -454 +45^2
y = -(x -45)^2 +1571
Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.
∠R is congruent to ∠G
The reason: the right angle's orientation gives a reference for which angle, if the triangle is congruent, is congruent to which angle.
OR
You can follow the letters. If the triangle is labeled with the letters or numbers, it is 90% of the time going to be in order of the alphabet or the numerical sequence.
ΔGHI ≅ ΔRST
Notice how those letters are in order? The ∠G is congruent to ∠R.
Hope I could help you out! God bless!
Answer:
1. There are _______ quarter notes in a whole note.
2. There are_______ half notes in a whole note.
3. There are________ quarter notes in a half note.
4. There are________ quarter notes in two half notes.
5. There are ______quarter notes in three half notes.
6. A whole note equals________ half notes
7. A whole note equals________ quarter notes. 8. A half note equals______ quarter notes.
9. Two half notes equal_______quarter notes. 10. Four quarter notes equal_______ whole note.
