Answer:
There are 5040 different anagrams of FLORIDA.
Step-by-step explanation:
We are given the following in the question:
Anagram of FLORIDA.
Letters are:
F, L, O, R, I, D, and A
There are 7 letters.
Thus, the number of anagrams are given by n!, where n are the number of letters in the word.
Number of anagrams =

Thus, there are 5040 different anagrams of FLORIDA.
<h3>hello!</h3>
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First of all, let the number be u.
The product of 7 and u means you should multiply 7 times u:

Now, subtract 4:

This expression equals 17:


[Now, let's Find the Value of u]
First, add 4 to both sides:

Now, divide both sides by 7:

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<h3>notes:-</h3>
Hope everything is clear; if you need any clarification /explanation, kindly let me know, and I will comment and/or edit my answer :)
Answer:
Domain → (-∞, -1)∪(-1, ∞)
Range → (-∞, ∞)
Step-by-step explanation:
Given function is,

This function is not defined when the denominator is zero.
2x + 2 = 0
2x = -2
x = -1
Therefore, x = -1 is not in the domain of this function.
And the domain will be,
(-∞, -1)∪(-1, ∞)
For all values of x (except x = -1) we get some output values (value of
).
Therefore, range of the function will be (-∞, ∞).
Answer:
f(2+h)=-(h+2/3)^2+1/4
f(x+h)=-(x+h-1/2)^2+1/4
Step-by-step explanation:
1. f(2+h)=(2+h)-(2+h)^2=2+h-4-4h-h^2=-h^2-3h-2=-(h^2+3h+2)
=-(h+2/3)^2+1/4
2. Let (x+h)=a, then rewrite the equation into f(a)=a-a^2.
a-a^2=-(a^2-a)=-[(a-1/2)^2-1/4]=-(a-1/2)^2+1/4.
Insert a=x+h, f(x+h)=-(x+h-1/2)^2+1/4
Answer:
1.62m^2
Step-by-step explanation:
From the problem statement, the scale of the drawing is
1cm:45cm (meaning that 1cm on the drawing represent 45cm in reality ofr actual)
first,let us convert 20cm to the actual drawing
20cm in actual will give 20*45=900cm
to meters =900/100= 0.9m
Secondly let us convert 40cm to the actual drawing
20cm in actual will give 40*45=1800cm
to meters =1800/1000= 1.8m
Now we can calculate the actual area in meters we have
area= 0.9*1.8
area= 1.62m^2