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aivan3 [116]
2 years ago
12

Find the 7th term of the arithmetic sequence 4x + 5, 11x + 9,18x + 13, ...

Mathematics
1 answer:
Svet_ta [14]2 years ago
5 0

Step-by-step explanation:

we see the common difference is

a2-a1 = 11x + 9 - 4x - 5 = 7x + 4

an = an-1 + (7x+4) = a1 + (n-1)×(7x+4)

for a7 we have then

a7 = 4x + 5 + 6×(7x +4) = 4x + 5 + 42x + 24 = 46x + 29

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Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate tha
tia_tia [17]

Answer:

62.4 hours

Step-by-step explanation:

For P:

Number of hours off on 10 hours of working=0.4

Number of hours on 2080 hours of working=2080/10*0.4

=83.2 hours

For S:  

Number of hours off on 100 hours of working=7

Number of hours on 2080 hours of working=2080/100*7

=145.6 hours

The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.  

6 0
3 years ago
What is the least common denominator (LCD)
Romashka [77]

The least common denominator is 15. The equivalent fractions would be 10/15 and 12/15.

3 0
3 years ago
Solve and graph the absolute value inequality: |2x + 4| > 14.
Aloiza [94]

Answer:

"number line with open circles on negative 9 and 5, shading going in the opposite directions."

Step-by-step explanation:

Your inequality doesn't include an equal sign so there will be no closed holes. It will only be open holes.

|u|>14 means that the number u has to be greater than 14 or less than -14.  These numbers I describe just now all have a distance greater than 14 from 0.

So |u|>14 implies u>14 or u<-14.

But we are solving |2x+4|>14 so this implies we have 2x+4>14 or 2x+4<-14.

2x+4>14

Subtract 4 on both sides:

2x    >10

Divide both sides by 2:

x      >5

2x+4<-14

Subtract 4 on both sides:

2x    <-18

Divide both sides by 2:

x      <-9

So our solution is x>5 or x<-9.

Graphing!

~~~~~~~O                                         O~~~~~~~~

-----------(-9)---------------------------------(5)---------------

So we shaded to the right of 5 because our inequality says x is bigger than 5.

We shaded to the left of -9 because our inequality says x is less than -9.

4 0
3 years ago
Answer these for a brainliest
natita [175]
5.
x - y = 11
2x + y = 19
2x - 2y = 22
2x + y = 19
-3y = 3
y = -1
x + 1 = 11
x = 10
(10, -1)

6.
-6x + 6y = 6
-6x + 3y = -12
3y = 18
y = 6
-6x + 36 = 6
-6x = -30
x = 5
(5, 6)
4 0
2 years ago
Expand the expression by distributing <br> -2(-4x-7)
vova2212 [387]
-2(-4x-7)
Answer:
8x+14
6 0
2 years ago
Read 2 more answers
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