Answer:
32, 46
Step-by-step explanation:
Remember, a is congruent to b modulo d if d divides a-b.
Now, the problem says that b=4 and d=14.
Let a=32. Observe that a-b=28 and  , then 32 is congruent to 4 modulo 14.
, then 32 is congruent to 4 modulo 14.
Let a=46. Observe that a-b=46-4=42 and  , then 46 is congruent to 4 modulo 14.
, then 46 is congruent to 4 modulo 14.
 
        
             
        
        
        
Answer:
4.18 dollars to drive 20 miles
Step-by-step explanation:
 
        
             
        
        
        
f(x)= 3x³ - 18x +9
Algebraic identities are algebraic equations that are true regardless of the value of each variable. Additionally, they are employed in the factorization of polynomials. Algebraic identities are employed in this manner for the computation of algebraic expressions and the solution of various polynomials.
Identity I: (a + b)² = a² + 2ab + b²
Identity II: (a – b)² = a² – 2ab + b²
Identity III: a² – b²= (a + b)(a – b)
Identity IV: (x + a)(x + b) = x² + (a + b) x + ab
Identity V: (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
Identity VI: (a + b)³ = a³ + b³ + 3ab (a + b)
Identity VII: (a – b)³ = a³ – b³ – 3ab (a – b)
Identity VIII: a³ + b³ + c³ – 3abc = (a + b + c)(a² + b² + c² – ab – bc – ca)
f(x) = (3x + 6) (x - 3)²
       = ( 3x + 6) ( x - 3 )²
       = ( 3x + 6)( x² - 6x + 9)
       = 3x( x² - 6x + 9) + 6( x² - 6x + 9)
       = 3x³ - 6x² + 18x + 6x² - 36x +9
       = 3x³ - 18x +9
To learn more about algebraic expansions, refer to brainly.com/question/4344214
#SPJ9 
 
        
             
        
        
        
<h3>
4 Answers: A, C, E, and F</h3>
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Explanation:
Choice A is true assuming we have 
In this case,  and
 and 
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Choice B is false. See choice A above.
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Choice C is true. The sequence  is decreasing. As n gets larger,
 is decreasing. As n gets larger,  gets smaller. This is because the denominator is growing larger with the numerator held constant.
 gets smaller. This is because the denominator is growing larger with the numerator held constant.
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Choice D is false. This contradicts choice C.
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Choice E is true since the denominator is growing forever
This is similar to  
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Choice F is true due to choices C and E being true.  
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Choice G is false because it contradicts choice F.