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
Irina-Kira [14]
3 years ago
13

Which statements are true? Check all that apply. The equation |–x – 4| = 8 will have two solutions. The equation 3.4|0.5x – 42.1

| = –20.6 will have one solution. The equation StartAbsoluteValue StartFraction one-half EndFraction x minus StartFraction 3 Over 4 EndFraction EndAbsoluteValue equals 0. = 0 will have no solutions. The equation |2x – 10| = –20 will have two solutions. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. The equation StartAbsoluteValue StartFraction 1 Over 8 EndFraction x minus 1. EndAbsoluteValue equals 5. = 5 will have infinitely many solutions.
Mathematics
2 answers:
lyudmila [28]3 years ago
6 0

Answer:

Options 1 and 5

Step-by-step explanation:

NeX [460]3 years ago
4 0

Answer:

1. The equation |-x -4| = 8 will have two solutions. (True)

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

Step-by-step explanation:

1. The equation |-x -4| = 8 will have two solutions. (True)

|-x - 4| = 8

-x -4 = ±8

-x -4 = 8 and -x -4 = -8

-x = 8 + 4 and -x = -8 + 4

-x = 12 and -x = -4

x = -12 and x = 4

Therefore, it has two solutions x ∈ {-12, 4}

2. The equation 3.4|0.5x - 42.1| = -20.6 will have one solution. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

3. The equation |1/2x - 3/4| = 0 will have no solutions. (False)

|(1/2)x - 3/4| = 0

(1/2)x - 3/4 = ±0

Since ±0 is the same

(1/2)x = 3/4

x = 2*3/4

x = 3/2

Therefore, it has one solution x = 3/2

4. The equation |2x – 10| = –20 will have two solutions. (False)

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

5. The equation |0.5x – 0.75| + 4.6 = 0.25 will have no solutions. (True)

|0.5x – 0.75| + 4.6 = 0.25

|0.5x – 0.75| = 0.25 - 4.6

|0.5x – 0.75| = -4.35

Since the right side of the equation has a negative value therefore, according to rules of absolute value equations, it has no solution.

6. The equation |(1/8)x - 1| = 5 will have infinitely many solutions. (False)

|(1/8)x - 1| = 5

(1/8)x - 1 = ±5

(1/8)x - 1 = 5 and (1/8)x - 1 = -5

(1/8)x = 5 + 1 and (1/8)x = -5 + 1

(1/8)x = 6 and (1/8)x = -4

x = 6*8 and x = -4*8

x = 48 and x = -32

Therefore, it has two solutions x ∈ {48, -32}

You might be interested in
The length of a rectangle is 3yd longer than its width. If the perimeter of the rectangle is 50yd, find it’s length and width
bazaltina [42]

Answer:

3(15)

Step-by-step explanation:


3 0
3 years ago
What is the value of s?
KonstantinChe [14]

Answer:

  35°

Step-by-step explanation:

Inscribed angle s is half the measure of the arc it subtends. That arc is the supplement to the 110° arc shown. The arc is 70°, so angle s is 35°.

6 0
3 years ago
Please help i beg u this is my 4th time asking​
4vir4ik [10]

Answer:

Formula to find height when given diameter and slanted height

\sqrt{s { }^{2} }  - r {}^{2}

First find the radius

24÷2=12

Next square the radius

12²=144

Next square the slanted height

20²=400

Now find the square root of both

\sqrt{400 - 144}

=16ft

6 0
2 years ago
⚠️ANSWER NEEDED QUICK, SHOW WORK TOO⚠️
KATRIN_1 [288]

Answer:

28+28=56 so 28 and 28 and the bottom will be 56

6 0
2 years ago
Help me plz!!!!!!!!!!!!!!!!!!!!
inessss [21]

Answer:

14 2/3

Step-by-step explanation:

.....................

3 0
2 years ago
Other questions:
  • jane is making a suit which requires 25/8 yards for the jacket and 1 3/4 yards for the skirt. what's the total amount of materia
    11·1 answer
  • Hector waters his lawn if it does not get least 1 1/2 inches of rain each week. it has rained 3/8 inch already this week. which
    15·2 answers
  • What is true of a geometric plane?
    6·1 answer
  • WRITE THREE ratios equivalent to the given ratios 8/10
    6·1 answer
  • 14. 2^2+ + 5x = 5x + 50
    6·1 answer
  • Which of the following is a geometric sequence
    7·2 answers
  • What is the volume please explain your answer
    8·1 answer
  • Write an equation of a line in standard form. (2,7)=-4
    13·1 answer
  • What is the percent decrease when the balance in a bank account goes from $300 to $60?
    6·1 answer
  • Please help! I will give brainliest!
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!