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
denis23 [38]
3 years ago
12

Write an equation of the line below.

Mathematics
1 answer:
Bad White [126]3 years ago
6 0
Y=1/4x-3

1/4x is rise over run or you go up or down then you go left or right. Since this is a positive line you will go up 1 and right 4. The -3 is the point in the y-axis that the line goes through
You might be interested in
Solve the equation. Check for extraneous solutions. Type your answers in the blanks. Show your work. 20 Points!!
alexira [117]

|4x + 3| = 9 + 2x

Since the variable is on both sides of the equation, you would, at the end, check for extraneous solutions.

Extraneous solutions are solutions that do not work with the equation, therefore they are "extra" solutions and un-included in your final answer.

Start the problem by splitting the equation into two equations, a positive case and a negative case. Your two equations would look like:

  1. 4x + 3 = 9 + 2x {positive case}
  2. 4x + 3 = -(9 + 2x) {negative case}
<h2><u>---Solving the equations---</u></h2><h3>[POSITIVE CASE]</h3>

Let's solve for the positive case first. Start by subtracting 3 from both sides of the equation.

  • 4x + 3 = 9 + 2x becomes 4x = 6 + 2x

Now subtract 2x from both sides of the equation.

  • 4x = 6 + 2x becomes 2x = 6

Finish off the problem by dividing both sides by 2 to isolate the variable x.

  • 2x = 6 becomes x = 3.
<h2>---</h2><h3>[NEGATIVE CASE]</h3>

Now let's solve for x in the negative case. Start by distributing the negative sign (-) inside the parentheses.

  • 4x + 3 = -(9 + 2x) becomes 4x + 3 = -9 - 2x

Subtract 3 from both sides just like the positive case.

  • 4x + 3 = -9 - 2x becomes 4x = -12 - 2x

Now add 2x to both sides of the equation.

  • 4x = -12 - 2x becomes 6x = -12

Finish off the problem by dividing both sides by 6 to isolate the variable x.

  • 6x = -12 becomes x = -2.
<h2><u>---Checking for extraneous solutions---</u></h2><h3>[CHECKING X = 3]</h3>

To check for extraneous solutions, or solutions that do not work, substitute what you got for x back into the original absolute value equation: |4x + 3| = 9 + 2x. Substitute 3 and -2 into the equation. Let's start by substituting 3 for x.

  • |4x + 3| = 9 + 2x becomes |4(3) + 3| = 9 + 2(3)

Start by multiplying 4 and 3 together inside the absolute value symbols.

  • |4(3) + 3| = 9 + 2(3) becomes |(12) + 3| = 9 + 2(3)

Now multiply 2 and 3 together.

  • |(12) + 3| = 9 + 2(3) becomes |(12) + 3| = 9 + (6)

Add 12 and 3 together inside the absolute value symbols; also add 9 and 6 together.

  • |(12) + 3| = 9 + (6)  becomes |(15)| = (15), which is the same as 15 = 15.

15 = 15 is a true statement so this means that 3 is a solution to the absolute value equation, so it is not an extraneous solution.

<h2>---</h2><h3>[CHECKING X = -2]</h3>

Let's see if -2 is a solution or not - substitute -2 for x into the equation: |4x + 3| = 9 + 2x.

  • |4x + 3| = 9 + 2x becomes |4(-2) + 3| = 9 + 2(-2)

Multiply 4 and -2 inside the absolute value symbols.

  • |4(-2) + 3| = 9 + 2(-2) becomes |(-8) + 3| = 9 + 2(-2)

Multiply 2 and -2.

  • |(-8) + 3| = 9 + 2(-2) becomes |(-8) + 3| = 9 + (-4)

Add -8 and 3 inside the absolute value symbols; also add 9 and -4.

  • |(-8) + 3| = 9 + (-4) becomes |(-5)| = (5), which is the same as 5 = 5.

5 = 5 is a true statement so that means it is not an extraneous solution. After checking for extraneous solutions, we have come to the conclusion that the two answers for the equation --> I4x + 3I = 9 + 2x <-- are <u>x = 3 or x = 2</u>.

8 0
3 years ago
Each of the 492 people who came to a school football game paid $12 for a ticket. How much ticket money did the school collect?
Vanyuwa [196]

Answer:

$5904 (C)

Step-by-step explanation:

If everyone who came to the football game all paid $12, then just multiply both values.
492 * $12 = $5904

7 0
2 years ago
Read 2 more answers
1. A triangular swimming pool is an isosceles triangle in shape. The two
Nady [450]

Answer:

Side a = 35ft

Side b = 35ft

Side c = 20ft

Step-by-step explanation:

The formula for the perimeter of a triangle = Side a + Side b + Side c

In an isosceles triangle, 2 sides are equal to each other.

So, Side a = Side b

In the question, we are told that:

The two equal sides are each 5 ft less than twice the length of the third side.

Hence,

a = 2c - 5

b = 2c - 5

P = 90ft

P = a + b + c

90 = 2c - 5 + 2c - 5 + c

Collect like terms

90 = 5c - 10

90 + 10 = 5c

100 = 5c

c = 100/5

c = 20

The length of the third side = 20ft

a = 2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

b =2c - 5

= 2 × 20 - 5

= 40 - 5

= 35 ft

Therefore,

Side a = 35ft

Side b = 35ft

Side c = 20ft

3 0
3 years ago
NS SECTION ONE<br>In the number 416.98, which digit has the greatest value ​
Aneli [31]

the 4 because it's in the hundred place value

I THINK THAT"S HOW YOU DO IT, BUT YOU KNOW JUST TRYING TO HELP YOU :)

5 0
3 years ago
Solve for x<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx-9%7D" id="TexFormula1" title="\frac{1}{x-9}" alt="\frac{1}{
Anna [14]

r = 1/15

a branliest from the answer will be appreciated

8 0
2 years ago
Read 2 more answers
Other questions:
  • Gavin measured a round jar lid. Then he calculated that the area of the lid is 50.24 square centimeters. What is the lid's diame
    13·1 answer
  • A. Find x. The figure is not drawn to scale.
    12·1 answer
  • What is the regular price of a taco before the discount​
    12·1 answer
  • 40 POINTS AVAILABLE<br> real answers please
    5·1 answer
  • An above ground swimming pool is leaking. After 1/2 hour the pool has leaked 7/8 of a gallon of water. How much gallons of water
    9·1 answer
  • The difference of two numbers is 5, the numbers are in the ratio 3:4. So the numbers are 15 and 20 True or False
    12·2 answers
  • a right cylinder with radius 4 cm and height 3 cm 314 cu cm a cone with radius 5 cm and height 12 cm. what is the volume
    15·1 answer
  • Solve this system of linear equations. Separate
    12·1 answer
  • A tower made of wooden blocks measures​1 1/4 feet high. Then a block is added that increases the height of the tower by 8 inches
    11·1 answer
  • Helppppppppppppopppppppppppo
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!