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lina2011 [118]
4 years ago
11

Explain why the solution to the absolute value inequality |4x-9|>-12 is all real numbers

Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
8 0

Answer:

Step-by-step explanation:

Hello,

by definition the absolute value is always positive

so |4x-9| >= 0

so the equation |4x-9| > -12 is always true

so all real numbers are solution of this equation

hope this helps

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2. Which of the following proves that 209 is NOT a prime number?
solmaris [256]

the answer is B) 19 × 11 = 209

coz A prime number is a whole number greater than 1 whose only factors are 1 and itself.

but here it is a multiple of 11 and 19 ....

so its proved

5 0
3 years ago
Bill is 2 years older than his brother Will. If the product of their ages is one less than five times the sum of their ages, how
Advocard [28]

Answer:

Will's age = 9 years

Bill's age = 11years

Step-by-step explanation:

Let will age = x

Bill = x +2 since he is 2 years older

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

Opening brackets

x² + 2x = 5(2x + 2) - 1

x² + 2x = 10x + 10 - 1

x² + 2x = 10x + 9

Collect like terms

x² + 2x - 10x - 9 = 0

x² - 8x - 9 = 0

Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.

The factors are -9 and +1

x² + x - 9x - 9 = 0

x(x + 1) -9( x +1)

x+1) (x -9) =0

x + 1 = 0 or x -9 =0

x = -1 or 9

Age can not be negative

Therefore,

Will's age = 9 years

Bill's age = x+2 = 9+2 = 11years

I hope this was helpful, please rate as brainliest

6 0
3 years ago
I need someone to answer asap
algol [13]

Answer:

y = 8.5

Step-by-step explanation:

7 0
3 years ago
Brionna bought a house for $300,000 in 2000. Unfortunately, the market is not doing so hot and each year she loses $2,000 in val
dlinn [17]

Answer:

the answer to the problem is m=-2000

5 0
3 years ago
The campers in cabin b walked 2/3 of the way to silver stream. how many miles did they walk
jasenka [17]
2/3 of 8 miles is 5 and 1/3 miles. So they walked about 5 and 1/3 miles there.
6 0
3 years ago
Read 2 more answers
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