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harina [27]
4 years ago
7

Find the common difference of the sequence shown 1/6, 1/4, 1/3 A) 1/12 B) 1/6 C) 1/3

Mathematics
2 answers:
vodomira [7]4 years ago
6 0

Answer:

The answer is A.

Step-by-step explanation:

1/3 - 1/4 = (4-3)/12 = 1/12

1/4 - 1/6 = (6-4)/24 = 2/24 = 1/12

1/12

natulia [17]4 years ago
3 0
The common difference of the sequence of the following is A) 1/12
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Let f(x) = 13 - |2x+ 1|. Find all x for which f(x) less than or equal to 14
Art [367]

Answer:

x \leqslant -1\: or \: x  \geqslant  - 1

Step-by-step explanation:

The given function is

f(x) = 13 -  |2x + 1|

We want to find all values of x for which:

f(x) is greater than or equal to 14.

This implies;

13 -  |2x + 1|  \geqslant 14

Subtract 13 from both sides;

-  |2x + 1|  \geqslant 14 - 13

|2x + 1|  \geqslant - 1

By definition of the absolute value function,

- (2x + 1) \geqslant  - 1 \: or \: (2x + 1) \geqslant  - 1

Divide through the first inequality and and reverse the inequality sign:

2x + 1 \leqslant -1 \: or \: 2x + 1 \geqslant  - 1

2x \leqslant -1  - 1 \: or \: 2x  \geqslant  - 1  - 1

2x \leqslant -2 \: or \: 2x  \geqslant  - 2

x \leqslant -1\: or \: x  \geqslant  - 1

8 0
4 years ago
The relationship between the number of games won by a minor league baseball team and the average attendance at their home games
natulia [17]

Answer: There is a strong positive correlation between  number of games won by a minor league baseball team and the average attendance at their home games is analyzed.

Step-by-step explanation:

The Pearson's coefficient 'r' gives the correlation between the predicted values and the observed values .

  • It tells the direction and the strength of the relation.
  • When r is negative it means there is a negative relationship between the variables .
  • When r is positive it means there is a positive relationship between the variables .
  • When |r|=1 , strong correlation ,
  • When r=0 , there is no correlation.
  • If 0.70<|r|<1 , there is a strong correlation.
  • If 0.50<|r|<0.70 , there is a moderate correlation.
  • If 0.30<|r|<0.50 , there is a low correlation.

Given :  A regression to predict the average attendance from the number of games won has an r = 0.73.

Since r=0.73 is positive and 0.70 <0.73 <1 , it means there is a strong positive correlation between number of games won by a minor league baseball team and the average attendance at their home games is analyzed.

4 0
3 years ago
?/48=7/8 what is the numerator
lozanna [386]
42 is the numerator  you multiply 8 times 6 so you do the same with the top
3 0
4 years ago
Read 2 more answers
Solve the system of equations using substitution y=x-1 and y=-2x+5
pav-90 [236]
Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

y=x-1
y=2-1
y=1

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)
7 0
4 years ago
There are six soccer balls and 10 footballs write the ratio as a fraction in simplest form
NikAS [45]
6:10

The simplest form would be 3:5.
3 0
4 years ago
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