MATHEMATICS MIDDLE SCHOOL

Solve for x: 3|x − 3| + 2 = 14A.) No solutions
B.) x = −1, x = 8.3
C.) x = 0, x = 7
D.) x = −1, x = 7

Answers

Answer 1
Answer: \left\{\begin{array}{ccc}a&for& a\geq0\n-a&for&a \ \textless \ 0\end{array}\right \n\n3|x-3|+2=14\ \ \ |subtract\ 2\ from\ both\ sides\n\n3|x-3|=12\ \ \ \ |divide\ both\ sides\ by\ 3\n\n|x-3|=4\iff x-3=4\ or\ x-3=-4\ \ \ |add\ 3\ to\ both\ sides\n\n\boxed{x=7\ or\ x=-1}
Answer 2
Answer:

D.) x = −1, x = 7


Hope this helps...

Related Questions

Help with number 7 I forgot how you find the retail sale price markdwon
What is the volume of the prism? NEED HELP
The amount of sales tax charged is directly proportional to the amount of the purchase. Anna pays $3.90 sales tax on a $60purchase. What is the rate of the sales tax? What would the sales tax be on a $340 purchase?3.5%; $11.195%; $17.006%; $20.406.5%; $22.10
Need help with these questions. Simplify them. Simplify.|–10 – 3| = Which set of numbers is ordered from least to greatest?A.{0.4, 2.3, –1.1, –2, –3.1}B.{2.3, 0.4, –1.1, –2, –3.1}C.{–3.1, –2, –1.1, 2.3, 0.4}D.{–3.1, –2, –1.1, 0.4, 2.3}What is the middle number when the numbers {5.1, –3.6, 0, –2, –1.1} are ordered from least to greatest?
Write an addition expression using integers to describe this situation. Then find the sum.Roger owes his mom $5. He borrows another $6 from her.

Sharon manages the Spirit Supply store at Lakefield Middle School. She tracks the sale of various items in her inventory so that she knows how many need to be ordered. The table shows how many school sweatshirts have been sold over the past five months.Month
Number of sweatshirts
October
41
November
29
December
18
January
28
February
25

Draw a line graph that represents the values in the table above.

Answers

Here is a graph. I hope it helped :)

Round 3.2 to the nearest whole number

Answers

3.2 rounded to the nearest whole number is 3

What is the means-to-MAD ratio of the two data sets, expressed as a decimal?Data set Mean Mean absolute deviation (MAD)
1 10.7 2.4
2 13.7 2.5

Answers

You have to calculate two separate measures, one for each set.The mean-to-MAD ratio is the mean divided by the MAD, i. e. mean / MAD. For the set 1, mean = 10.7 and MAD = 2.4, then mean / MAD = 10.7 / 2.4 = 4.4583. For the set 2, mean = 13.7 and MAD is 2.5, so mean/ MAD = 13.7 / 2.5 = 5.480.

a park has the shape of a trapezoid. two of the sides are 25 meters long. the other two sides are 40 meters and 20 meters long. what is the perimeter of the park?

Answers

Perimeter is just the distance around. You add the side lengths which are all given. The sum is 110.

75= 3(5-5x) solve for x and do the check?

Answers

x = -4

75 = 3(5-5x)
75 = 3(5) - 3(5x)
75 = 15 - 15x
75 - 15 = -15x
60 = -15x
60/-15 = -15x / -15
x = -4

To check:
75 = 3(5-5(-4))
75 = 3(5+20)
75 = 3(25)
75 = 75
♡Let's solve this equation Step-By-Step and Easy-Peasy!♡
♡Here is the question you asked:
75= 3(5-5x)

♡Now simplify both sides of the equation:
♡Here is how to simplify it:
Distribute: 75=(3)(5)+(3)(−5x)
75=15+−15x
75=−15x+15

♡Now flip the equation:
−15x+15=75

♡Now that we have flipped the equation now you have to subtract 15 from both sides:
−15x+15−15=75−15
−15x=60

♡Now divide both sides by -15:
−15x/−15=60/−15

♡Your answer is:
x=−4

♡Now we need to check so:
75 = 3(5-5(-4))
♡Then:
75 = 3(5+20)
♡Now:
75 = 3(25)
♡Final: 
75 = 75

♡I hope this helps!♡

If Julie needs 3 1/4 cups of oat meal how many 1/4 cups of oatmeal will she use ?

Answers

Basically, you divide 3 1/4 by 1/4. To do that, you have to change the mixed number into an improper fraction. 3 1/4 as an improper fraction is 13/4. I was able to find that since you simply just multiply the denominator by the whole number, 4 x 3, which is 12, then add 12 to the numerator, 1, which is 13. Finally, the improper fraction is 13/4 (the denominator stays the same). Now, we can divide the fractions. One rule about fractions: dividing them is the same as multiplying them with the reciprocal of the other. Like say for example, the reciprocal of 1/5 is 5/1. 

Let's solve:

13/4 divided by 1/4 =
13/4 x 4/1 = At this point, you just multiply them straight across.
52/4 = It's not simplified since both can still be divided. So, you simplify by finding the greatest common multiple of 52 and 4, which is 4. 52 divided by 4 = 13; 4 divided by 4 = 1. 
52/4 = 13/1 = 13 (any numerator with the denominator of one is a whole number when simplified)

So if Julie needs 3 1/4 cups of oatmeal, she will use 13 of 1/4 cups of oatmeal. Answer's 13. :) I really hope I helped!
Other Questions
Main Street and Washington Avenue meet at a right angle. A large park begins at this corner. Joe's school lies at the opposite corner of the park. Usually Joe walks 1.2 miles along Main Street and then 0.9 miles up Washington Avenue to get to school. Today he walked a straight path across the park and returned home along the same path. What is the difference in distance between the two round trips?
Which equation represents a proportional relationship that has a constant of proportionality equal to 0.7
Is 10 yards less than 360 inches
200 reduced by 2 times my age equals 16