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
scoray [572]
3 years ago
13

3|2x+5|-9 = 0 solve the absolute value equation

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

Answer:x=−1 or x=−4

Step-by-step explanation:

Let's solve your equation step-by-step.

3(|2x+5|)−9=0

Step 1: Add 9 to both sides.

3(|2x+5|)−9+9=0+9

3(|2x+5|)=9

Step 2: Divide both sides by 3.

3(|2x+5|)

3

=

9

3

|2x+5|=3

Step 3: Solve Absolute Value.

|2x+5|=3

We know either2x+5=3or2x+5=−3

2x+5=3(Possibility 1)

2x+5−5=3−5(Subtract 5 from both sides)

2x=−2

2x

2

=

−2

2

(Divide both sides by 2)

x=−1

2x+5=−3(Possibility 2)

2x+5−5=−3−5(Subtract 5 from both sides)

2x=−8

2x

2

=

−8

2

(Divide both sides by 2)

x=−4

Answer: x=−1 or x=−4

You might be interested in
Question 1: Find the equation of the line through point (5,4) and perpendicular to y=−43x−2. Use a forward slash (i.e. "/") for
Mariulka [41]

Answer:

Question 1: y = 3/4x + 1/4.

Question 2: y = 6/5x + 7/5.

Step-by-step explanation:

Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.

Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.

4 = 3/4(5) + b

b + 15/4 = 4

b = 16/4 - 15/4

b = 1/4

So, the equation of the line is y = 3/4x + 1/4.

Question 2: 5x + 6y = -6

6y = -5x - 6

y = -5/6x - 1

As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.

The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.

-1 = 6/5(-2) + b

b - 12/5 = -5/5

b = -5/5 + 12/5

b = 7/5

So, the equation of the line is y = 6/5x + 7/5.

Hope this helps!

8 0
3 years ago
For what value of x is the rational expression below undefined?<br><br> 3x+15/6-x
Paha777 [63]

Let the function be (3x+15)/(6-x) then the value of x exists at -5.

<h3>What is the value of x?</h3>

Given: Rational Expression (3x+15)/(6-x)

To find the value of x when given a rational expression equivalent to 0.

To estimate the value of x, convey the variable to the left side and convey all the remaining values to the right side. Simplify the values to estimate the result.

Consider, (3x+15)/(6-x) = 0

3x + 15 = 0(6-x)

3x + 15 = 0

Subtract 15 from both sides of the equation, e get

3x + 15 - 15 = 0 - 15

simplifying the above equation, we get

3x = 0 - 15

3x = -15

Divide both sides by 3, then we get

x/3 = -15/3

x = -5

Therefore, the value of x exists at -5.

To learn more about the value of x refer to: brainly.com/question/11874663

#SPJ9

5 0
2 years ago
The first term of an arithmetic sequence is 123 the common difference is 12 and the sum is 1113 how many terms are in the series
S_A_V [24]
You can use this formula of arthenatic series to find sum to get the number of term
sum= n÷2 (2a+(n - 1)d)
n= number of tern = n
a= first term =
d= common difference
sum= 1113
you can find the number of series by putting in them
5 0
3 years ago
From the diagram below, given the side lengths marked, and if we know that &lt; C is congruent to &lt; E, we can say that ___.
Lana71 [14]

Since we know that <C is congruent to <E, we can say that: A. the two triangles are similar by SAS.

<h3>The properties of similar triangles.</h3>

In Geometry, two triangles are similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

Ratio = BC/AC = 6/3 = 2.

Ratio = FE/DE = 4/2 = 2.

Thus, the ratio of their corresponding sides are equal in magnitude i.e BC/AC ≡ FE/DE.

Since we know that <C is congruent to <E, we can say that the two triangles are similar by side, angle, side (SAS) criterion.

Read more on congruency here: brainly.com/question/11844452

#SPJ1

5 0
2 years ago
The width of a rectangle is the length minus 2 units. The area of the rectangle is 48 units. What is the width, in units, of the
ivanzaharov [21]

Answer:

6 units

Step-by-step explanation:

Remember the formula for the area of a rectangle: A = lw

What we know:

A=48

w = l-2

Substitute A for 48 and w for l-2 into the equation

A = lw

48 = l(l-2)   Use the distributive property. Multiply over the brackets.

48 = l² - 2l

Rearrange the equation to standard form (0 = ax² + bx + c) to use quadratic formula.

0 = l² - 2l - 48

a = 1 ; b = -2 ; c = -48   State the variables for the quadratic formula

Substitute a, b and c to find the length:

l = \frac{-b± \sqrt{b^{2}-4ac} }{2a}

l = \frac{-(-2)± \sqrt{(-2)^{2}-4(1)(-48)} }{2(1)}  Simplify

l = \frac{2± \sqrt{4-(-192)} }{2}

l = \frac{2± \sqrt{196} }{2}

l = \frac{2± 14 }{2}  

Split the equation at the ± for adding and subtracting. Then decide which answer is correct, or if both of them are possible answers.

l = \frac{2- 14 }{2}

l = \frac{-12 }{2}

l = -8   This is "inadmissable", or impossible because the length can't be a negative value.

l = \frac{2+ 14 }{2}

l = \frac{16 }{2}

l = 8  Length of the rectangle

Use the formula for the area of a rectangle

Substitute the length and area, then isolate "w" for the width

A = lw

48 = (8)w

48/8 = w

w = 6

Therefore the length of the rectangle is 6 units.

7 0
4 years ago
Other questions:
  • Out of 3 Cad-bury chocolates and 2 Kitkat bars, if one is picked at random, what is the probability that it will be a kitkat?
    7·2 answers
  • If the area of the triangle is 10cm?, find the height.<br> 5cm
    5·1 answer
  • Slove the equation 4x= -36
    6·2 answers
  • Maxwell bought a new pair of skis for $350. He put $110 down and received a students discount of $30. His mother gave him 1/2 of
    13·2 answers
  • An oil company can produce 62 gallons of new oil from every 400 quarts of recycle oil how many gallons are in 400 quarts
    7·2 answers
  • The band must earn at least $75 for a trip .band members already earned $35.write and solve an inequality to find how much more
    15·1 answer
  • Combine like terms to create an equivalent expression. -1/2(-3y+10)
    6·2 answers
  • 2.
    8·1 answer
  • PLEASE WHAT IS RHE ANSWER THIS IS AN EXAM!!
    13·1 answer
  • Determine the equation of the line that passes through the points (-1 , 10) and (2,4)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!