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
11111nata11111 [884]
3 years ago
11

Solve the equation. Check for extraneous solutions. 2|7−7x|=2x+4

Mathematics
1 answer:
Vesna [10]3 years ago
5 0

2|7 − 7x| = 2x + 4

|7 - 7x| = x + 2

7 - 7x = x + 2   or   7 - 7x = -(x + 2)

-8x = -5   or   7 - 7x = -x - 2

x = 5/8   or -6x = -9

x = 5/8   or   x = 9/6

x = 5/8   or   x = 3/2

To check for extraneous solutions, we check both solutions in the original equation.

<em>Check solution 5/8:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 5/8| = 5/8 + 2

|56/8 - 35/8| = 5/8 + 16/8

21/8 = 21/8

<u>Solution x = 5/8 works.</u>

<em>Check solution 3/2:</em>

2|7 - 7x| = 2x + 4

|7 - 7x| = x + 2

|7 - 7 * 3/2| = 3/2 + 2

|14/2 - 21/2| = 3/2 + 4/2

|-7/2| = 7/2

7/2 = 7/2

<u>Solution 3/2 also works.</u>

Answer: x = 5/8 or x = 3/2

You might be interested in
Use the given vertices to graph quadrilateral TUVW and its image after a dilation centered at the origin with scale factor
Mademuasel [1]

Answer:We know that the dilation transformation of a figure either shrink or expand the original figure depending on the scale factor of the dilation.

As here we have scale factor=3>1.

Hence, the dilation  changes the original will expand the original figure.

Hence, each of the coordinate of a figure get multiplied by 3.

Hence, the co

ordinates of the image are given as:

i.e. A(0,0) → A'(0,0)

B(2,3) → B'(6,9)

C(1,-2) → C'(3,-6)

D(-3,-3) → D'(-9,-9)

Step-by-step explanation:

5 0
1 year ago
Points: here answer 3b+10
Dennis_Churaev [7]

Answer:

3b+10

Step-by-step explanation:

The expression is not factorable with rational numbers.

3b+10

7 0
2 years ago
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
love history [14]

Answer:

it starts at the top and is going down so its simple its C negative correlation

Step-by-step explanation:

5 0
2 years ago
Cos 30° cos 450 -sin 30° sin
Vedmedyk [2.9K]

The trigonometric Identities Cos 30° cos 45° - sin 30° sin 45° when simplified gives; ((√3) - 1)/2√2

<h3>How to solve Trigonometric Identities?</h3>

We want to solve the trigonometric Identity;

Cos 30° cos 45° - sin 30° sin 45°

We know that the trigonometric values of these in surd form are;

Cos 30° = (√3)/2

cos 45° = 1/√2

sin 30° = 1/2

sin 45 = 1/√2

Thus;

Cos 30° cos 45° - sin 30° sin 45° = ((√3)/2 * 1/√2) - (1/2 * 1/√2)

= ((√3)/2√2) - (1/2√2)

= ((√3) - 1)/2√2

Read more about Trigonometric Identities at; brainly.com/question/7331447

#SPJ1

5 0
1 year ago
Find the slope of the line passing through the points (4,4) and (6, -5)
irga5000 [103]

Answer:

The slope of this line would be -9/2

Step-by-step explanation:

To find the slope of any line, use the slope formula below and plug in the points for the given values.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - -5)/(4 - 6)

m = (4 + 5)/(4 - 6)

m = 9/-2

m = -9/2

8 0
3 years ago
Other questions:
  • The average number of hours of sleep per night was 9.46 hours for a sample of 104 five to seven year-old children. The number 9.
    11·1 answer
  • Use distributive property to solve this problem 3(x+4)=36
    13·2 answers
  • The Temperature at 5:00 A.M. Is -38 F. The temperature rises 20 by 11:00 A.M. Use addition to find the temperature at 11:00 A.M.
    15·1 answer
  • Please help find the value of the expression and show work thank you
    14·2 answers
  • F(x) = 4x - 1
    12·2 answers
  • There were 80 boys and 95 girls on the middle school track team last year this year the number of boys increased by 15% well the
    11·1 answer
  • What is the value of the logarithm?
    10·2 answers
  • Suraji took a slice of pizza from the freezer and put it in the oven. The pizza’s temperature (in degrees Celsius) as a function
    8·2 answers
  • Ms.Cornick bought 6 new pens for $5.70. How much would it cost her to buy 11 pens at the same rate?​
    12·1 answer
  • Segment ET is a median of triangle FGE. Find the length of segment GT if GF=12.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!