Solve the inequality and graph solution
8 |x+3/4| <2

Answers

Answer 1
Answer:

 Answer:     x<-1

Step-by-step explanation:

8 |x+3/4| <2  

|x+3/4| <2/8  

x+3/4<+/-(plus/minus,since modulus) 2/8  

if 2/8,  

x<2/8-3/4  

x<-1/2  

if -2/8,  

x<-2/8-3/4


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carol is excited to get a new kitten from the animal shelter. the kitten had an $299 adoption fee. carol had $50 off coupon for the adoption and will also have to pay $20 per month for food and supplies. how longg will it take for carol to spend $250​

Answers

Answer:

1 month

Step-by-step explanation:

249 is the amount she spends for buying the kitten, (299-50=249) which she only has to pay once.

20 is the amount she has to spend every month, the rate of change.

The problem can be modeled with the general equation:

y = 20x + 249

In this equation, x the the time in months and y is the amount of money spent.

Substitute 250 for y.

y = 20x + 249

250 = 20x + 249    <= isolate x to get the number of months

1 = 20x

x = 1/20

Carol will only spent money every month, not for 1/20 of a month.

It will only take Carol 1 month to spent $250.

Check answer:

Substitute x for 1

y = 20x + 249

y = 20(1) + 249

y = 269

269 is more than 250 already.

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Matthew bought a laptop for $34,000 in the year 2008. Its value depreciates by 4% per year. What is thevalue of laptop in 2011?

Answers

The value of the laptop in 2011 will be $29920

Step-by-step explanation:

Cost of the laptop = $34000

Rate of decrease in value per year = 4%

Total time = 3 years

The Value decrease in 2011 = (34000 x 4 x 3) /100

= $4080

The value of the laptop in 2011 = 34000-4080

= $29920

The value of the laptop in 2011 will be $29920

Which juice container is larger: 2 liters or 1 galon

Answers

The one carrying 1 gallon, since there are about 4 liters in one gallon. Hope my answer was useful.
Its a 1 gallon because 2 litera is really small

53/7 as a mixed number

Answers

Its already an improper fraction.
If you mean mixed number it would be 7 4/7.
Hope this helps!:)
the answer is is 7 4/7 because 7x7=49 and there is 4 left over to make the 4/7

Find coordinates of point c

Answers

ans n solution can refer in the picture

What is the remainder for the synthetic division problem?

Answers

Answer:

Option B is correct.

Step-by-step explanation:

Solving using synthetic division

-8 | 2 14 9

The synthetic division is shown in image attached.

The remainder is: 25

The quotient is : 2x-2

So, Option B is correct.