1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergeinik [125]
3 years ago
13

Match each equation with its solution set.

Mathematics
1 answer:
taurus [48]3 years ago
4 0

Answer:

1- The solution of I2x + 5I = 9 is {-7 , 2}

2- The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- The solution of I5 - xI = 6 is {-1 , 11}

4- The solution of I6x - 8I + 7 = 5 is ∅

5- The solution of Ix + 3I = 12 is {-15 , 9}

6- The solution of Ix - 3I = -12 is ∅

Step-by-step explanation:

* At first lets explain the meaning of IxI = a

- If IxI = a ⇒ then x = a or x = -a

- IxI never give a negative answer, because IxI means the

 magnitude of x is always positive

Ex: I-2I is 2

* Now lets find the solution of each equation

1- ∵ I2x + 5I = 9

∴ 2x + 5 = 9 ⇒ subtract 5 from both sides

∴ 2x = 4 ⇒ divide both sides by 2

∴ x = 2

OR

∴ 2x + 5 = -9 ⇒ subtract 5 from both sides

∴ 2x = -14 ⇒ divide both sides by 2

∴ x = -7

* The solution of I2x + 5I = 9 is {-7 , 2}

2- ∵ I2x + 7I + 2 = 11 ⇒ Subtract 2 from both sides

∴ I2x + 7I = 9

∴ 2x + 7 = 9 ⇒ subtract 7 from both sides

∴ 2x = 2 ⇒ divide both sides by 2

∴ x = 1

OR

∴ 2x + 7 = -9 ⇒ subtract 7 from both sides

∴ 2x = -16 ⇒ divide both sides by 2

∴ x = -8

* The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- ∵ I5 - xI = 6

∴ 5 -x = 6 ⇒ subtract 5 from both sides

∴ -x = 1 ⇒ divide both sides by -1

∴ x = -1

OR

∴ 5 -x = -6 ⇒ subtract 5 from both sides

∴ -x = -11 ⇒ divide both sides by -1

∴ x = 11

* The solution of I5 - xI = 6 is {-1 , 11}

4- ∵ I6x - 8I + 7 = 5 ⇒ Subtract 7 from both sides

∴ I6x - 8I = -2

- I  I never give negative answer

* The solution of I6x - 8I + 7 = 5 is ∅

5- ∵ Ix + 3I = 12

∴ x + 3 = 12 ⇒ subtract 3 from both sides

∴ x = 9

OR

∴ x + 3 = -12 ⇒ subtract 3 from both sides

∴ x = -15

* The solution of Ix + 3I = 12 is {-15 , 9}

6- ∵ Ix - 3I = -12

- I  I never give negative answer

* The solution of Ix - 3I = -12 is ∅

You might be interested in
If you get the answer can you please explain to me how you got it???
konstantin123 [22]

Answer: 22 I got my answer from safari

Step-by-step explanation:

7 0
2 years ago
Jeff has a density of 1000 g/mL and a volume of 25-mL. What is Jeff’s mass?
zlopas [31]

Answer:

25,000 grams

Step-by-step explanation:

Density can be found using the following formula:

d=\frac{m}{v}

If we rearrange the formula for m, mass, we will multiply both sides of the equation by v.

d*v=\frac{m}{v}*v

d*v=m

The mass can be found by multiplying the density by the volume.

Jeff's density is 1000 grams per milliliter and his volume is 25 milliliters.

d= 1000 g/mL\\v=25 mL

Substitute the values into the formula.

m=d*v

m= 1000 g/mL * 25 mL

Multiply. When you multiply, the "mL" or milliliters will cancel out.

m= 1000 g * 25

m= 25000 g

Jeff's mass is 25,000 grams.

6 0
3 years ago
Whats 2+2 i dont know what it is
SOVA2 [1]

Answer:

4

Step-by-step explanation:

2+2=4

thanks:D

5 0
3 years ago
Read 2 more answers
What is the simplified form of 3 over x squared all over 1 over x-cubed ?
Ainat [17]
5 I think I am a 5 th
8 0
3 years ago
Read 2 more answers
To make cheesecake you need about 21/2pounds of creamcheese how many pounds of cream cheese will you need to make 2 cheesecakes
Elina [12.6K]
2 1/2 pounds of cream cheese for a cheesecake
to find the amount needed to make 2 cheesecakes multiply 2 1/2 times 2
2 1/2 times 2 = 5
you need 5 pounds of cream cheese to make 2 cheesecakes
6 0
2 years ago
Other questions:
  • Philips Semiconductors is a leading European manufacturer of integrated circuits. Integrated circuits are produced on silicon wa
    13·1 answer
  • Find an equation for the nth term of the arithmetic sequence. 9, 11, 13, 15, ...
    15·1 answer
  • -9 2/3(-2 1/4a+b+8 1/4)<br><br> Solve please with work
    12·1 answer
  • Fumi's backyard has an area of 10,359 Sq ft. write this in scientific notation
    15·1 answer
  • Factor out the gcf 9m - 12<br>help​
    13·2 answers
  • X y
    6·2 answers
  • Find the slope of the line that passes through (10, 8) and (9, 13)
    13·1 answer
  • Help again gonna mark soemone brainliest
    11·2 answers
  • Choose the expression that correctly compares 13.261 and 13.265.
    15·2 answers
  • Find the perimeter of the figure to the nearest hundredth. (includes picture)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!