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Oxana [17]
3 years ago
5

What is that solution to this inequality 2(x-4)+14<=x-1

Mathematics
2 answers:
Fed [463]3 years ago
6 0
2(x-4)+14\leq x-1\\&#10;2x-8+14\leq x-1\\&#10;2x-x\leq-1+8-14\\&#10;x\leq-7
Varvara68 [4.7K]3 years ago
3 0
2(x-4)+14\leq x-1\\2x+2(-4)+14\leq x-1\\2x-8+14\leq x-1\\2x+6\leq x-1\ \ \ \ |subtract\ 6\ from\ both\ sides\\2x\leq x-7\ \ \ \ |subtract\ x\ from\ both\ sides\\\boxed{x\leq-7\to x\in(-\infty;-7]}
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Andrej [43]

Answer:

( 1 , ∞ )

Step-by-step explanation:

Interval notation rounds up to infinite

8 0
3 years ago
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At the start of 2014 Mikes car was worth £12000. the value of his car decreased 30% every year.
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Answer:

The worth of car at the start of 2014 = $12000

The value of the car decreased 30% every year.

At start of 2015:

30% of 12000 = \frac{30}{100} \times 12000

100

30

×12000 = 3600

So, the value of the car at start of 2015 = 12000-3600 = $8400.

At start of 2016:

30% of 8400 = \frac{30}{100} \times

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So, the value of the car at start of 2016 = 8400-2520 = $5880.

At start of 2017:

30% of 5880 = \frac{30}{100} \times

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the value of the car at start of 2017 = 5880-1764 = $4116.

So, the value of his car at the start of 2017 is $4116.
6 0
3 years ago
What is the volume of a rectangle prism 11inches long, 6 inches wide and 3 inches high
borishaifa [10]

Answer:

198 inches^3

Step-by-step explanation:

Volume of a rectangular prism = Length × width × height

Length = 11 inches

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Height= 3 inches

Volume of a rectangular prism = Length × width × height

= 11 inches × 6 inches × 3 inches

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The volume of the rectangular prism with dimensions 11 inches long, 6 inches wide, 3 inches high is 198 cubic inches

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The weight of a newborn
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sergiy2304 [10]

Answer:

Option A. C(d)=25d+12

Step-by-step explanation:

Let

d -----> the number of days

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we know that

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y=mx+b

where

m is the rate or slope of the linear function

b is the y-coordinate of the y-intercept

In this problem we have that

C(d)=md+b

The slope of the linear equation is equal to the charge of $25 per day to board dogs

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The y-intercept is the value of y when the value of x is equal to zero

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The C-intercept is equal to the cost of the bath $12

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8 0
3 years ago
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