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FrozenT [24]
3 years ago
8

What is the recursive formula for this sequence? 24,20,16,12

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Answer:

28 - 4n

Step-by-step explanation:

What is the recursive formula for this sequence? 24,20,16,12

the sequence first term is 24

a= 24

Common difference (d) = T2 - T1 = T3 - T2

d = 20-24 = 16 -20

d = -4

Formula for nth term

Tn = a + (n-1)d

Tn = 24 + (n -1)-4

Tn = 24 -4n + 4

Tn = 28 - 4n

= 28 - 4n

I hope this was helpful, please mark as brainliest

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Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
35% of the spectators at a baseball match are New York Yankees fan and the rest are Boston Red Sox fan. 30% of the fans in both
Ilya [14]

Answer:

Step-by-step explanation:

At a Baseball Match.

35% of spectators are New York Yankees fan

The rest are Boston Red Sox fan = 100 - 35% = 65%

30% of fans in both teams are females.

30% of 35% of spectators are New York Yankees fan = 0.105 females

30% of 65% of spectators are Boston Red Sox fan = 0.195 females

The number of males in New York Yankees fan = 1 - 0.105 females

= 0.895 males

The number of males in Boston Red Sox fan = 1 - 0.195 females

= 0.805 males

7 0
3 years ago
Please help with this question with steps I'll give brainliest!<br><br> Thanks
harina [27]

Answer:

∠ 1,3,5,7 = 32°

∠2,4,6,8,= 148°

Step-by-step explanation:

From the figure attached,

AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.

Since, m∠1 = 32°,

∠1 and ∠4 are supplementary angles [Linear pair of angles]

m∠1 + m∠4 = 180°

32° + m∠4 = 180°

m∠4 = 180° - 32°

m∠4 = 148°

therefore,

m∠1,3,5,7 = 32°

m∠2,4,6,8,= 148°

6 0
2 years ago
50 points for the answer!!! Please help
KATRIN_1 [288]
Okay so I did the problem and they tricked us. That minus sign you see next to the x48 is actually a negative sign so you actually are suppose to divide to get 1.3 and I believe that's the answer.

X=1

x2= 1.3
5 0
2 years ago
Read 2 more answers
&gt;<br> 40 cm out of 3.5m .
vovikov84 [41]

Answer:

Your answer is 11.42

Step-by-step explanation:

hope it helps

3 0
2 years ago
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