Answer:
A.) 8x^5 - 3x^4 + 6x^3 - x^2 + 12x - 33
Alright lets start by defining both prime and composite.
A natural number that has exactly two factors, one and itself, is called a prime number.
And natural number, other than one, that is not prime, is composite.
So lets start on #1: 8. We should know right off the bat that this is an even number and therefore can be divided by 2 (8/2=4). Since 8 is not one, we know that it is a composite number.
On #2 the number is 13. Now try some random numbers (2,3...) and you will find that nothing will give you a whole number (other than one). This means this number is prime.
#3 is the number 24 which is also even and can be divided by two, therefore is it composite.
33 is the number on #4. Now this one you should look at and realize that it can be divided by 11. Any two numbers that are the same (11, 22, 33, 44, 55...) can be divided by 11. This number is composite.
#5, the last one, is number 89. 89 is not a composite number, because it's only divisors are one and itself. This would make is a prime number.
Sorry this was kinda long, but I hope it helps! If you have any questions, feel free to ask!
Answer:
-36
Step-by-step explanation:
replace x with -5 and solve for the parenthesis and then take that number which would be -16 and multiply it by 9 which then would give you -144. So then you would take -144 and divide it by 4 and your answer would be -36.
If you are moving the center of circle 2 to the the center of circle 1, then the translation rule is (x,y) ---> (x+4, y+10).
Note how x = 1 turns into x = 5. So we add 4
Also, y = -2 turns into y = 8. We add 10
The scale factor to turn the radius r = 4 into r = 8 is 2. Basically we double the radius. We can divide the two radii to see 8/4 = 2
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Summary:
To go from circle 2 to circle 1, we apply these two transformations
translation: (x,y) ---> (x+4, y+10)
dilation: scale factor 2
note:
if you want to go backwards, go from circle 1 to circle 2, then undo the transformations above
F(x)=(3x^2+2x-5)/(x-4)
f(x)=(3x+5)(x-1)/(x-4)
x-4|(3x^2+2x-5)
(x-4)3x
3x^2+2x-5-(3x^2-12x)
(x-4)3x+14
14x-5-(14x-56)
51
Oblique=3x+14
