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Mars2501 [29]
3 years ago
7

In your own words, explain why there is no solution to the following equation:| x-6|= -8 Also, knowing this, how does it help to

solve the inequality |x-5 < 0 ?|
Mathematics
1 answer:
solniwko [45]3 years ago
5 0

Answer:

Step-by-step explanation:

So the two lines before and after the expression means absolute value, or modulus of, knowing this, it means that the answer must always yield positive. So if x-6 is positive, it will stay positive, if x-6 is negative, it will turn positive, therefore it can never yield a negative value.

Now im assuming the second question is meant to be absolute value of x-5 is less than 0, because it makes no sense otherwise.

So now knowing that x-5 is always positive, or 0, but this inequality only wants less than 0, this means there are no solutions for the inequality.

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Osian was 1.5 m tall. In the last couple of years,his height has increased by 20%
3241004551 [841]

For this case we must find the current height of Osian. For this, we use the following rule of three:

1.5 m ----------------> 100%

x -----------------------> 120%

From here, we clear the value of x.

We have then:

x = \frac {120} {100} (1.5)\\x = 1.8 m

Answer:

The current height of Osian is given by:

x = 1.8 m

4 0
3 years ago
Which linear equations have an infinite number of solutions? Check all that apply.
ladessa [460]

Answer:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

Step-by-step explanation:

A linear equation can be said to have an infinite number of solutions when the number of the right hand side is the same at the number on the left hand side of the equation.

For example:

2 = 2 or x = x or 0 = 0

Solving the question above:

Which linear equations have an infinite number of solutions? Check all that apply.

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

x - 3/7 = 6x/6 - 18/42

x - 3/7 = x - 3/7

Collect like terms

x - x = -3/7 + 3/7

0 = 0

The linear equation in option a has an infinite number of solutions

b) 8(x + 2) = 5x – 14

8x + 16 = 5x - 14

Collect like terms

8x - 5x = -14 - 16

3x = -30

x = -30/3

x = -10.

The linear equation in Option b has a true solution.

c) 12.3x – 18 = 3(–6 + 4.1x)

12.3x - 18 = -18 + 12.3x

Collect like terms

12.3x - 12.3x = -18 + 18

0 = 0

The linear equation in Option c has infinite number of solutions

d) 1\2(6x + 10) = 7(3\7x – 2)

6x/2 + 5 = 21/7x - 14

3x + 5 = 3x - 14

Collect like terms

3x - 3x = -14 - 5

0 = -19

The linear equation Option d has no solution

e) 4.2x – 3.5 = 2.1 (5x + 8)

4.2x - 3.5 = 10.5x + 16.8

Collect like terms

4.2x - 10.5x = 16.8 + 3.5

-6.3x = 20.3

x = -20.3/6.3

x = -3.22

Hence, the linear equation in Option e has a true solution

Therefore, the linear equations have an infinite number of solutions are:

a) (x – 3\7) = 2\3 (3\2x – 9\14 )

c) 12.3x – 18 = 3(–6 + 4.1x)

8 0
3 years ago
Read 2 more answers
Write a quadratic function h whose zeros are 5 and -7
marin [14]

Quadratic function whose zeros are 5 and -7 is x^2+2x-35=0

Step-by-step explanation:

Write a quadratic function h whose zeros are 5 and -7

If 5 and -7 are zeros of quadratic function then:

x=5 and x=-7

or x-5 = 0 and x+7=0

So, Finding quadratic equation:

(x-5)(x+7)=0\\x(x+7)-5(x+7)=0\\x^2+7x-5x-35=0\\x^2+2x-35=0

So, quadratic function whose zeros are 5 and -7 is x^2+2x-35=0

Keywords: Quadratic Function

Learn more about Quadratic Function at:

  • brainly.com/question/7361044
  • brainly.com/question/9328925
  • brainly.com/question/1357167

#learnwithBrainly

3 0
3 years ago
Solve the following equation for n: <br><br>8 + n = 16.<br><br>​
Nataly [62]

Answer:

n=8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You read 50 pages in an hour your sister reads 40 pages in an hour how many more pages did you read than your sister reads in 1/
Elena-2011 [213]

To start to figure this problem out, we can first figure out how many more pages you read in an hour compared to your sister.


50 - 40 = 10, so you read 10 more pages in 1 hour.


Now we have to figure out how much more you would read in 1/2 an hour. Since 1/2 an hour is 1/2 of an hour, we can divide 10 by 2 to figure out how many more pages you read in an hour compared to your sister. 10 divided by 2 is 5, so you read 5 more pages every half hour.

6 0
3 years ago
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