All categories

3 years ago

Solve the equation 3|x – 2|+2 = 17

Mathematics

1 answer:

grigory [225]3 years ago

5 0

Answer:

-3, 7 = x

Step-by-step explanation:

3|x – 2| + 2 = 17

- 2 - 2

________________

3|x - 2| = 15

_______ ___

3 3

|x - 2| = 5

$x - 2 = -5 \: \: \: \: \: \: \: \: \: \: \: \: \: x - 2 = 5$

+ 2 + 2 + 2 + 2

_______________ ____________

x = -3 x = 7

I am joyous to assist you anytime.

You might be interested in

During its first year, there were 138 volunteers at a community outreach program. Over the next 2 years, there were 156 voluntee

dem82 [27]

Answer:

0.1%

Step-by-step explanation:

138 into a percent=1.38%

156 into a percent=1.56%

175 into a percent=1.75%

1.38-1.56=0.18

1.56-1.75=0.19

0.19-0.18= 0.1%

5 0

3 years ago

Choose the verbal descriptions that would best be modeled by polynomial functions. (Able to pick more than one)

mafiozo [28]

Answer:

i think it is AAAAA

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

Help quick! i will give you 20 points. You have 412 pints of ice cream for your birthday party. If you are going to serve 34 pin

coldgirl [10]

Division word problems often ask you to split something evenly. You should solve this problem by dividing the total amount of ice cream by the amount you will serve each guest. After converting to fractions, 4.5 divided by .75. You will have enough to serve six guests, and no ice cream left over.

5 0

3 years ago

Find the oth term of the geometric sequence 9, -18, 36, ...

Sphinxa [80]

Answer:

2304

Step-by-step explanation:

Given :-

A geometric sequence is given to us which is 9 , -18 , 36.

And we need to find out the 9th term of the sequence. Here firstly we should find the Common Ratio and then we can substitute the respective values in the formula to find the nth term of a geometric sequence .

Common Ratio :-

$:\implies$ CR = -18÷ 9 = -2

The 9 th term :-

$:\implies$ T_n = arⁿ - ¹

$:\implies$ T_9 = 9× (-2) ⁹ - ¹

$:\implies$ T_9 = 9 × (-2)⁸

$:\implies$ T_9 = 9 × 256

$:\implies$ T_9 = 2304

Hence the 10th term is 2304.

3 0

3 years ago