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Korolek [52]
3 years ago
12

Which graph represents the solution set of this inequality? 119 +5 < 49 Choose 1 answer:

Mathematics
1 answer:
laiz [17]3 years ago
6 0

Answer:

to graph an inequality you need a variable. your question does not have a variable. please rewrite the question.

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Find all geometric sequences such that the sum of the first two terms is 24 and the sum of the first three terms is 26.
Serga [27]

Answer:

<h3>The nth term Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>

Step-by-step explanation:

Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.

If the sum of the first two term is 24, then a/r + a = 24...(1)

and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)

Substtituting equation 1 into 2 we have;

24+ar = 26

ar = 2

a = 2/r ...(3)

Substituting a = 2/r into equation 1 will give;

(2/r))/r+2/r = 24

2/r²+2/r = 24

(2+2r)/r² = 24

2+2r = 24r²

1+r = 12r²

12r²-r-1 = 0

12r²-4r+3r -1 = 0

4r(3r-1)+1(3r-1) = 0

(4r+1)(3r-1) = 0

r = -1/4 0r 1/3

Since a= 2/r then a = 2/(-1/4)or  a = 2/(1/3)

a = -8 or 6

All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of  a geometric sequence is expressed as

if r = -1/4 and a = -8

Tn = -8(-1/4)^(n-1)

if r = 1/3 and a = 6

Tn = 6(1/3)^(n-1)

The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms

6 0
3 years ago
Solve the equation: Ab = 56 b = [?]​
riadik2000 [5.3K]

Answer:

B can be 1, 2, 4, 7, 8, 14, 28 and 56.

Basically any factor of 56.

Hope that helps!

<em>-scsb17hm</em>

Step-by-step explanation:

7 0
2 years ago
HELP PLEASE<br> Use elimination to solve the system of equations<br> 2x + 3y = 9 <br> x + 5y = 8
ikadub [295]

Answer:

y=5/7   x=31/7

Step-by-step explanation:

Make the x values the opposite of each other:

-2(x+5y=8)

-2x-10y=-16

2x+3y=9

Combine like terms and solve for y:

-7y=-5

y=5/7

Plug y in to find x.

x+5(5/7)=8

x+25/7=8

56/7-25/7=x

x=31/7

5 0
3 years ago
A tree casts a shadow 24 feet long. a 5 foot person casts a 8 foot shadow.How tall is the tree?
ra1l [238]
(length of tree's shadow)/(height of tree) = (length of person's shadow)/(person's height)

24/x = 8/5

24*5 = x*8

120 = 8x

8x = 120

8x/8 = 120/8

x = 15

The tree is 15 feet tall
8 0
3 years ago
Describe in writing how 7/3 compares to 2 1/3
LekaFEV [45]
7/3 IS an improper fraction 2 1/3 is a mixed number
4 0
3 years ago
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