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Elena-2011 [213]
4 years ago
9

6(8-x)(x+4)=0 what’s the solution set?

Mathematics
1 answer:
Travka [436]4 years ago
6 0

Answer:

x_{1} = -4\\\\x_{2} = 8

Step-by-step explanation:

6(8-x)(x+4)=0

(48 -6x )(x+4) = 0

48x +192 -6x^2 -24x = 0

6x^2 -24x -192=0

using quadratic formula:

x =\frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

a= 6   b= -24  c= -192

we have:

x_{1} = -4\\\\x_{2} = 8

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In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%. How many robberies we
Maurinko [17]

Answer:

262

Step-by-step explanation:

From the Question, we know that:

In a certain town there were 403 robberies last year. This year the number of robberies has gone down 35%.

Step 1

Find the amount decreased

35% × 403

= 35/100 × 403

= 141.05

Step 2

The amount of robberies this year is:

= 403 - 141.05

= 261.95

Approximately to the nearest whole number = 262

3 0
3 years ago
celeste wants to have her hair cut and permed and also go to lunch. she knows she will need 59$. the perm cost twice as much as
miv72 [106K]
Let's first start off with an equation to represent Celeste's budget:
h + p + l = 59
Where:
'h' is the money in dollars that she needs to get her hair cut
'p' is the money in dollars that she needs to get her hair permed
'l' is the money in dollars that she needs for lunch

Now let's simplify this equation using the information that was given:
l = 5 *This must be true since it is told that she needs $5 for lunch
0.5p = h *This is because the perm costs twice as much as the hair cut

Our new/updated equation is:
0.5p + p + 5 = 59

This is much easier to solve, let's rearrange and solve for 'p':
0.5p + p = 59 - 5
1.5p = 54
p = 36

Therefore the perm costs $36

I hope this helps! Let me know if you have any further questions.

5 0
3 years ago
Use the box plots comparing the number of male puppies and number of female puppies attending doggy daycare each day for a month
dalvyx [7]
  1. The IQR for the males' data is 25.
  2. The difference between the median of the males' data and the female's data is 14.
  3. The distribution of the males' data is skewed to the right and the median would be a better measure of the center. The distribution of the female's data is normal and the mean would be a better measure of the center.
  4. A reason for the outlier is that the number of dogs needing care increased.

<h3>What is the interquartile range?</h3>

The interquartile range for the males data is the difference between the third quartile and the first quartile.

IQR = third quartile - first quartile

25 - 0 = 25

Median = 20 - 6 = 14

An outlier is a number that is way smaller or way larger than that of other numbers in a data set.

To learn more about outliers, please check: brainly.com/question/27197311

#SPJ1

7 0
2 years ago
the table shows the decimal equivalent to fractions with a denominator of 7. what do you notice about the pattern of the six rep
Katena32 [7]
1/7= .142857142857143
2/7= .2857
3/7= .4285
4/7= .57142
5/7= .71428
6/7= .85714
7/7= 1
Each are multiples of .142857142857143.


8 0
3 years ago
Show step by step 3/2 equals 18/12​
Anestetic [448]

Answer:

----------------------------------------

Step-by-step explanation:

when you multiply 3/2 by 6 you get 18/12

6 0
3 years ago
Read 2 more answers
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