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Zanzabum
3 years ago
6

IF YOU LIKE CHALLENGES, THIS IS FOR YOU!

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0

Answer:


Step-by-step explanation:

1. 2x - 1 < x + 3

Subtract x and add 1 to both sides

2x - 1 - x + 1 < x + 3 - x + 1

x < 4

2. 5x - 1 > 6 - 2x

Add 1 and 2x to both sides

5x - 1 + 1  + 2x > 6 - 2x + 1 + 2x

7x > 7

Divide both sides by 7

7x/7 > 7/7

x > 1

3. x - 5 < 0

Add 5 to both sides

x-5 + 5 < 0 + 5

x < 5

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Find the smaller of 2 consecutive intergers, x, if the sum of the smaller and 6 times the larger is -29. Write an equation to de
Irina18 [472]

Answer:

x = -5 and x+1( consecutive integer) = -4

obviously x is smaller than the next integer

Step-by-step explanation:

Let the first integer be x

hence the consecutive integer is x +1

according to the give condition

x + 6(x + 1) = -29

x + 6x + 6 = -29

7x = -29 -6

7 x = -35

x = -35/7

x = -5

x + 1 = -5 + 1 = -4

GOOD LUCK FOR THE FUTURE! : )

8 0
2 years ago
Sophia is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The one-time fe
notka56 [123]

Answer:

40t+100

Step-by-step explanation:

4 0
2 years ago
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Solve the system of equations below by graphing them with a pencil and paper. Enter your answer as an ordered pair.
sergejj [24]
Y = 2x - 3 . . . (1)
y = -2x + 5 . . . (2)
Equating (1) and (2),
2x - 3 = -2x + 5
2x + 2x = 5 + 3
4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1

Solution = (2, 1)
6 0
2 years ago
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The order in which a data set is listed must be taken into account when calculating __________.
Luba_88 [7]
That would be the median....u need to list the numbers in order to find the middle number (median)
8 0
3 years ago
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List the first 10 terms of each of these sequences.
harina [27]
Q1)
the sequence should start with 10, after that each term is calculated by subtracting 3 from the previous term.
1st term - 10
2nd term - 10 - 3 = 7
3rd term  - 7 - 3 = 4
4th term - 4 - 3 = 1
5th term  - 1 - 3 = -2
6th term - -2 - 3 = -5
7th term - -5 - 3 = -8 
8th - -8 - 3 = -11
9th - -11 - 3  = -14
10th -14 - 3 = -17
the sequence is - 10,7,4,1,-2,-5,-8,-11,-14,-17

Q2) 
<span>the sequence whose nth term is the sum of the first n positive integers
In this we get the term by adding all the integers of the terms before that term 
1st term - n = 1 no terms before this , therefore 0 + n(1)  = 1
2nd term -n =2  sum of integers before - 1 + n( 2) = 3
3rd - 3+3 = 6
4th - 6+4 = 10 
5th - 10 + 5 = 15
6th - 15 + 6 = 21
7th  - 21 + 7 = 28
8th - 28 + 8 = 36
9th - 36 + 9 = 45
10th -  45 + 10 = 55
this is a triangular number pattern
this number pattern can be found out using ; n = (n x (n+1))/2

sequence is - 1,3,6,10,15,21,28,36,45,55

Q3)
</span>the sequence whose nth term is 3n − 2n
general term for this sequence is 3n − 2n
to find 1st term , n = 1
substituting n = 1 in the general term 
1st term - 3x1 - 2x1 = 3-2 = 1
2nd - 3x2- 2x2 = 6 - 4 = 2
3rd - 3x3 - 2x3 = 9-6 = 3
4th - 3x4 - 2x4 = 12 - 8 = 4
5th - 3x5 - 2x5 = 15 - 10 = 5
6th - 3x6 - 2x6 = 18 - 12 = 6
7th - 3x7 - 2x7 = 21 - 14 = 7
8th - 3 x8 - 2x8 = 24 - 16 = 8
9th - 3x9 - 2x9 = 27 - 18 = 9
10th - 3x10 - 2x10 = 30-20 = 10

sequence is 1,2,3,4,5,6,7,8,9,10

Q4)
<span>the sequence whose nth term is √ n
when n=1 1st term is </span>√1 = 1
1st term - √1 = 1
2nd term - √2 = 1.41
3rd - √3 = 1.73
4th - √4 = 2
5th - √5 = 2.23
6th- √6 = 2.44
7th - √7 = 2.65
8th- √8 = 2.82
9th - √9 = 3
10th - √10 = 3.16

The sequence is 1, 1.41, 1.73, 2, 2.23, 2.44, 2.65, 2.82, 3, 3.16

Q5)T<span>he sequence whose first two terms are 1 and 5 and each succeeding term is the sum of the two previous terms
</span>1st term - 1
2nd term - 5
3rd term - add 1st and 2nd term (1+5) = 6
4th term - add 2nd and 3rd terms (5+6) = 11
5th - add 3rd and 4th (6+11) = 17
6th - (11+17) = 28
7th - (17 + 28) = 45
8th - 45 + 28 = 73
9th - 73 + 45 = 118
10th - 73+ 118 = 191

sequence is - 1,5,6,11,17,28,45,73,118,191
7 0
2 years ago
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