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jeka57 [31]
3 years ago
7

Identify the mistake and correct it in the work shown for solving the following inequality. 9x + 9 > 12x + 6 -3x > -3 x &g

t; 1
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0

Given:

The inequality is

9x+9>12x+6

To find:

The mistake in the given solution and correct it.

Solution:

We have,

9x+9>12x+6

Isolating variable on one side, we get

9x-12x>6-9

-3x>-3

On dividing both sides by -3,  we get

\dfrac{-3x}{-3}

Because if an inequality is multiplied or divided by a negative number, then the sign of inequality must be changed.

x

Therefore, there is a mistake in last step because the sign of inequality remains same after diving it by -3 and the correct solution is x.

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Plot two numbers on the numberline that are 7 units from 3<br><br> Is this correct?
dalvyx [7]

Answer:

-4 and 10

Step-by-step explanation:

It is 7 units from 3 not 3 the number itself

5 0
2 years ago
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Another easy question need fast please
Tresset [83]

Answer:

30.25

Step-by-step explanation:

All angles of a line must add up to 180. Since we already know that one angle is 90 degrees, we know that the other angles should add up to 90 degrees in order for all of the angles to add up to 180 degrees:

(3x-7)+(x+8)=90

4x+1=90

4x=89

x=22.25

22.25+8= 30.25

3 0
2 years ago
Determine whether the series is convergent or divergent. if it is convergent, find its sum. (if the quantity diverges, enter div
Lemur [1.5K]

The geometric series is convergent and the value is 16.

<h3>How to illustrate the information?</h3>

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Learn more about geometric series on:

brainly.com/question/24643676

#SPJ4

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

7 0
1 year ago
Find the oth term of the geometric sequence 9, -27, 81, ...
Novosadov [1.4K]
It would b 9 x (-3^(x-1))
6 0
2 years ago
''A florist measures the lengths of roses. The lengths in inches of a dozen roses are given below'' I'm really confused.
alexira [117]

Complete data:

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box

Answer:

12.75 ___ 2 dots

13.0 ____ 3 dots

13.25 ___ 4 dots

13.5 ___ 3 dots

Step-by-step explanation:

Given the data :

13.5 13.5 13.25 13.0 13.25 13.5 13.0 13.25 13.0 13.25 12.75 12.75

To know the Number of dots for each data value, we obtain the frequency of each data value ;

Length of Rose____ Frequency

12.75 _________:__ 2

13.0 ____________ 3

13.25 ___________ 4

13.5 ____________ 3

3 0
3 years ago
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