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
olga_2 [115]
3 years ago
13

Solve the equation. Check for extraneous solutions please help!!!

Mathematics
1 answer:
lozanna [386]3 years ago
4 0
!z!=a→z=a or z=-a; z=4x+3, a=9+2x

!4x+3!=9+2x
1) 4x+3=9+2x
Solving for x:
4x+3-3-2x=9+2x-3-2x
2x=6
2x/2=6/2
x=3

Checking for extraneous solution:
!4x+3!=9+2x
x=3→!4(3)+3!=9+2(3)
!12+3!=9+6
!15!=15
15=15 Ok, then x=3 is not a extraneous solution 

2) 4x+3=-(9+2x)
Solving for x:
4x+3=-9-2x
4x+3-3+2x=-9-2x-3+2x
6x=-12
6x/6=-12/6
x=-2

Checking for extraneous solution:
!4x+3!=9+2x
x=-2→!4(-2)+3!=9+2(-2)
!-8+3!=9-4
!-5!=5
5=5 Ok, then x=-2 is not a extraneous solution

Answer:
x = -2 or 3 
You might be interested in
. Find the value of sec θ for the angle shown. (2 points) A line is drawn from the origin through the point seven comma six. The
choli [55]

Answer:  \frac{\sqrt{85}}{7}

<u>Step-by-step explanation:</u>

(7, 6)

Use Pythagorean Theorem to find the hypotenuse:

7² + 6² = c²

49 + 36 = c²

   85      = c²

   √85  = c

adjacent = 7, opposite = 6, hypotenuse = √85

sec θ = \frac{hypotenuse}{adjacent} = \frac{\sqrt{85}}{7}

8 0
3 years ago
Read 2 more answers
A company manufactures keyboards for desktop and laptop computers. The desktop keyboard contains 105 keys and the laptop keyboar
Luba_88 [7]

The company can produce 20 desktop keyboards and 10 laptop keyboards

Step-by-step explanation:

A company manufactures keyboards for desktop and laptop computers

  • The desktop keyboard contains 105 keys
  • The laptop keyboard has 90 keys
  • The company has 3000 keys
  • The company needs to produce twice as many desktop keyboards as laptop keyboards

We need to find how much of each type the company can produce

Assume that the company can produce x desktop keyboards and

y laptop keyboards

∵ The company can produce x desktop keyboards

∵ company can produce y laptop keyboards

∵ The desktop keyboard contains 105 keys

∵ The laptop keyboard has 90 keys

∵ The company has 3000 keys

- Write an equation to represent the total keys

∴ 105 x + 90 y = 3000 ⇒ (1)

∵ The company needs to produce twice as many desktop keyboards

   as laptop keyboards

∴ x = 2 y ⇒ (2)

Substitute x in equation (1) by equation (2)

∵ 105(2 y) + 90 y = 3000

∴ 210 y + 90 y = 3000

∴ 300 y = 3000

- Divide both sides by 300

∴ y = 10

∴ The company can produce 10 laptop keyboards

Substitute the value of y in equation (2) to find the value of x

∵ x = 2(10)

∴ x = 20

∴ The company can produce 20 desktop keyboards

The company can produce 20 desktop keyboards and 10 laptop keyboards

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

6 0
3 years ago
Median of 12,13,19,16,32,15,13
Katena32 [7]
We will first put this data in ascending order
12,13,13,15,16,19,32
We then center in on the middle number, we first can “mark out” the highest and lowest number and repeat until we have one number left

12,13,13,15,16,19,32

13,13,15,16,19

13,15,16

The median is 15
3 0
2 years ago
Read 2 more answers
!!!!Which ordered pair in the form of (x, y) are solutions to the equation 7x - 5y =28
muminat

Answer:

(-6,-14)

Step-by-step explanation:


8 0
3 years ago
Pete wants to mix 4 quarts of 20% orange juice concentrate with some 60% pineapple juice concentrate to get a 50% punch concentr
Musya8 [376]

Answer:

20% oj

60% pn

= 80%

80 -50 =30

so 30% pineapple concentrate to omit

4 0
2 years ago
Other questions:
  • Is 2x + y= -1 in standard form
    15·1 answer
  • A tornado traveled 260 miles in 4 hours. If the average rate at which the tornado is moving slows by 20%, how many miles will th
    7·2 answers
  • 3. Given rectangles and , and given that rectangle is fully rotated about line BC, answer the following questions. (a) Describe
    10·1 answer
  • Find the value of d. 2d-5 =17
    11·1 answer
  • I know it equals 180 I’m just confused.
    7·1 answer
  • mary is 14. In four years, her age will be 2/3 the age of her sister. How old will Mary's sister be in two years
    12·1 answer
  • Please help me with this for brainliest
    7·1 answer
  • Multiply this please ​
    5·2 answers
  • Lee el anexo , posteriormente Escribe 5 preguntas en su cuaderno referente al texto que leiste.
    14·1 answer
  • What is the value of p in this equation 10p – 8 ≥ 12
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!