Solve the absolute value equation.

│4x + 3│= 3
A. x = 0 or x = negative three over two
B. x = 0 or x = 3 over 2
C. x = 1 or x = negative three over two
D. x = 1 or x = 3 over 2

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |4x+3|

For the Negative case we'll use -(4x+3)

For the Positive case we'll use (4x+3)

-(4x+3) = 3

    Multiply

     -4x-3 = 3

    Rearrange and Add up

     -4x = 6

    Divide both sides by 4

     -x = (3/2)

    Multiply both sides by (-1)

     x = -(3/2)

    Which is the solution for the Negative Case

(4x+3) = 3

    Rearrange and Add up

     4x = 0

    Divide both sides by 4

     x = 0

    Which is the solution for the Positive Case

x=-3/2

x=0

Answer 2

The solution of the absolute equation │4x + 3│ = 3 will be 0 and - 3/2. Then the correct option is A.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

f(x) = |x - h| + k

The absolute function is given as,

│4x + 3│ = 3

Simplify the equation, then we have

│4x + 3│ = 3

4x + 3 = ± 3

4x = - 3 ± 3

For positive signs, then we have

4x = - 3 + 3

4x = 0

x = 0

For negative sign, then we have

4x = - 3 - 3

4x = - 6

x = - 3/2

The solution of the absolute equation │4x + 3│ = 3 will be 0 and - 3/2. Then the correct option is A.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


Related Questions

ON A TEST PLZ ANSWER This equation represents what type of function?
y=1/2x^3+ 5x
A linear
B quadratic
C exponential
D cubic

Answers

Linear equation is the answer

Calculate the value of x

Answers

Answer:

x = 55

Step-by-step explanation:

x + (2x+15) = 180

3x + 15 = 180

3x = 165

x = 55

Answer:

55°

Step-by-step explanation:

since angles in a straight line add up to 180°

x+2x+15=180°

3x+15=180°

3x=180-15

3x=165

divide by 3 on both sides

x=55°

Find the equation of the lines that passes through the point (4, -3) and has a
slope of -2. *
O y = -2x + 10
O y = -2x-11
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Answers

-2x - 2

Step-by-step explanation:

you would just have to plug in the 4 and -3 into the equation.

Kermit flipped a coin 20 times. The coin landed on tails six times. Which best describes what would likely happen if Kermit flipped the coin another 80 times?

Answers

Answer:

24 of those times would be tails.

Step-by-step explanation:

Because if you flip it 20 times and it lands on tails 6 times, you just have to add 20+20 6+6 so then it's 40 flips and 12 tails. 60 times and 18 tails 8p times and 24 tails.

1. Determine whether the following numbers could be the sides of a right triangle. Show your work.
a.
7, 25, 19
b.
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Answers

Answer:

B 17,15,8

Step-by-step explanation:

8sqrd+15sqrd=17sqrd

64+225=289

Next question? Does anybody know it?

Answers

Answer:

0

Step-by-step explanation:

Answer:

the answer is undefined.

Step-by-step explanation:

-9-3

5-5

-12⇒

0⇔          its undefined.don´t forget to brainllest.

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please help i’ll mark the first one or whoever right brainliest

Answers

line o is a total of 180 so 180-60 is 120.. (5x+10) should be set equal to 120 so X WILL EQUAL 22 (5(22)+10) would be 120 and z is a vertical angle so it should be 120 as well since they are always equal. correct me if i’m wrong please

how can you find a common denominator for 1/3 and 1/5

Answers

Answer:

15

Step-by-step explanation:

Helpppppp pleaseeee !!!!

Answers

The answer is Y = -1/2x + 60

Describe the rate of change of the function below.

Answers

B. Slope is rise over run

Which Property of Addition is used in the following expressions, (7 + 9) + 5 = 7 + (9 + 5)?

a. Distributive Property
b. Associative Property
c. Commutative Property
d. Identity Property​

Answers

Answer:

associative property

The answer I got was Associative property

PLEASE PLEASE HELP I WILL GIVE EXTRA POINTS AND BRAINALIST FIRST PERSON TO ANSWER

Answers

Answer:

A.

Step-by-step explanation:

j=39 so 39x5=195

The answer is going to be a

PLEASE HELP DUE IN 20 MINS!!!! SOLVE ALL 4

Answers

1. I Have no clue

2. -2

3. I have no clue

4. 77

Answer:

Step-by-step explanation:

1) y= -2x-14

2) x=2

3) c=5

4)=67

You can tell if the value of a function for a certain interval is positive by looking at its graph. If the value is postitive that part of the graph will:

Answers

Answer:

will be negative

Step-by-step explanation:

☜(゚ヮ゚☜)

what is the GCF of 45 and 60?

Answers

Answer:

The GCF of 45 and 60 is 15.

Step-by-step explanation:

First let us find the factors of 45 and 60.

[tex]\left[\begin{array}{ccc}&45&\\15&*&3\\5*3&&\end{array}\right][/tex]             [tex]\left[\begin{array}{ccc}&60&\\15&*&4\\5*3&&2*2\end{array}\right][/tex]

Based on this, you can tell that they both have the number 3 and the number 15 in their factors.

15 > 3

The GCF of 45 and 60 is 15.

The ratio of the measures of the sides of a triangle is 21:8:14. The perimeter is 215 feet, find the length of each side

Answers

21 - 45.15
14 - 30.1
8 - 17.2

WILL MARK BRAINLIEST!!Find the solution of the system of equations.

2x – 9y = 38
4x + 5y = –16

Answers

Answer:

answer 9x

Step-by-step explanation:

X=19
Y=-38/9 or 4.2

That is solution

The y-coordinate of the midpoint of a segment can be found by adding any two y-coordinates on the segment and dividing by two. True or False??

Answers

Answer:

This would be true. in order to find the mid-point of any two given points you have to add both x and y coordinates and divide by two.

I had 50 pizza and now i only have 20 how much of the pizzia did i eat

Answers

Answer:

30 pizzas

Step-by-step explanation:

You ate thirty because 50-20= 30

Hope this helps! :)

True or false:

A. All parallelograms are quadrilaterals. Why?

B. All squares are rhombuses. Why?

pls help fast ​

Answers

Answer:A. True, cause they have four sides

B. True cause if you turn them a little they look like a square

Step-by-step explanation:

1.6 hour to 0.95 hour

Answers

Answer:

What is the question?

Put your question in the replies of this answer and I'll gladly answer you

Step-by-step explanation:

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Answers

Answer:

v

Step-by-step explanation:

v would be your answer:)

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Answers

Answer:

9

Step-by-step explanation:

2+7=9

A store sees 120 customers in 8 hours. What is the unit rate (in customers per hour)?

Answers

Answer:

5 per hour

Step-by-step explanation:

Answer:

Step-by-step explanation:

120 customers / 8 hours= 15 customers per hour

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A. XY
B. YZ
C. XZ
D. YX

Answers

Answer:

yz

Step-by-step explanation:

........

........

answer is YZ

What is the length of the shortest side if the perimeter of the rectangle is 56 inches?

Answers

Answer: Length of Shortest Side = 12 inches

Step-by-step explanation: Length of Shortest Side = L = 3x

Length of Longest Side = W = 5x-4

Condition:

2L+2W = Perimeter

2(3x)+2(5x-4) = 56

6x+10x-8 = 56

16x-8 = 56

Adding 8 to both sides

16x = 56+8

16x = 64

Dividing both sides by 14

=> x = 4

Now,

Length of the Shortest Side = L = 3(4) = 12 inches

Length of the Longest Side = W = 5(4)-4 = 16 inches

Isaac’s family took a cab to a concert. The bill came to a total of $43.50. The family wants to tip the driver at least 20%. Which tip amounts would be sufficient? Select all that apply.

$7
$8
$9
$10
$11

Answers

Answer:

The option d is the correct answer

to find a percentage of something we were taught this method

%% x
—— • ——
100 total price

you then want to multiply the total price by the percentage and then divide by 100

so in this case

20 x
—— • ——
100 $43.50

20•43.50=870

870/100= 8.7

so i believe 9,10,11 would all be correct.
hope this helps!

(2∧-4)∧-4÷2∧4×2∧2 what is the answer please help me

Answers

Answer:

can u please upload a picture of the problem

Step-by-step explanation:

im gonna try to do my best to help you

Answer:

(2∧-4)∧-4÷2∧4×2∧2

The only answer it has is 16384

I hope this helps you.

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Answers

La respuesta es 4n.

Need the answer asap

Answers

Answer:

3.2

Step-by-step explanation:

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