For the first letter we have 24 choices. Since letters can't repeat the second letter has 23 choices (24 minus 1 that was used for the first slot) and the third has 22 (24 minus one for the first slot and one for the second slot).
The total number of combinations is thus: 24 x 23 x 22= 12,144
The value of the function (f.h)(x) is 96x⁵ + 132x⁴ + 78x³ + 18x²
<h3>How to solve function?</h3>
f(x) = 3x² + 4x³ + 8x⁴
g(x) = -3x + 12x² - 5x³
h(x) = 12x + 6
Therefore,
(f.h)(x) = f(x).h(x)
Hence,
f(x).h(x) = (3x² + 7x³ + 8x⁴)(12x + 6)
f(x).h(x) = 36x³ + 18x² + 84x⁴ + 42x³ + 96x⁵ + 48x⁴
(f.h)(x) = 96x⁵ + 84x⁴ + 48x⁴ + 36x³ + 42x³ + 18x²
(f.h)(x) = 96x⁵ + 132x⁴ + 78x³ + 18x²
learn more on function here: brainly.com/question/7783704
#SPJ1
Answer:

Step-by-step explanation:
An equation in the vertex form is written as

Where the point (h, k) is the vertex of the equation.
For an equation in the form
the x coordinate of the vertex is defined as

In this case we have the equation
.
Where

Then the x coordinate of the vertex is:

The y coordinate of the vertex is replacing the value of
in the function

Then the vertex is:

Therefore The encuacion excrita in the form of vertice is:

To find the coefficient a we substitute a point that belongs to the function 
The point (0, -1) belongs to the function. Thus.


<em>Then the written function in the form of vertice is</em>

In her second month, she spent $92.23
you just do 305.43 - 213.20 = 92.23
Flip over the second fraction
2 3/5= 13/5 ( Multiply the whole number with the denominator, 2*5=10 then add the numerator 10+3=13
-3 3/4= -15/4
13/5 * -4/15= -52/75
Answer :-52/75