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
Ksenya-84 [330]
3 years ago
6

What does n equal to in 12n + 9 = 6 - 3n

Mathematics
1 answer:
sveticcg [70]3 years ago
6 0
12n+9=6-3n\ \ \ \ \ \ |Add\ 3n\ to\ each\ side\\\\
15n+9=6\ \ \ \ \ |Subtract\ 9\\\\
15n=-3\ \ \ \ \ |Divide\ by\ -15\\\\
n=-\frac{3}{15}=\boxed{-\frac{1}{5}}
You might be interested in
Graph a line that contains the point (3,-6) and has a slope of -1/2
djyliett [7]
If I were you, I would make the starting point (3,-6). From there, you will want to use the slope of -1/2 (go down 1 unit and to the right 2 units and draw a point)
4 0
3 years ago
Type the correct answer in each box. Use numerals instead of words.
lubasha [3.4K]

Answer:

System A has 4 real solutions.

System B has 0 real solutions.

System C has 2 real solutions

Step-by-step explanation:

System A:

x^2 + y^2 = 17   eq(1)

y = -1/2x            eq(2)

Putting value of y in eq(1)

x^2 +(-1/2x)^2 = 17

x^2 + 1/4x^2 = 17

5x^2/4 -17 =0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a = 5/4, b =0 and c = -17

x=\frac{-(0)\pm\sqrt{(0)^2-4(5/4)(-17)}}{2(5/4)}\\x=\frac{0\pm\sqrt{85}}{5/2}\\x=\frac{\pm\sqrt{85}}{5/2}\\x=\frac{\pm2\sqrt{85}}{5}

Finding value of y:

y = -1/2x

y=-1/2(\frac{\pm2\sqrt{85}}{5})

y=\frac{\pm\sqrt{85}}{5}

System A has 4 real solutions.

System B

y = x^2 -7x + 10    eq(1)

y = -6x + 5            eq(2)

Putting value of y of eq(2) in eq(1)

-6x + 5 = x^2 -7x + 10

=> x^2 -7x +6x +10 -5 = 0

x^2 -x +5 = 0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b =-1 and c =5

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(5)}}{2(1)}\\x=\frac{1\pm\sqrt{1-20}}{2}\\x=\frac{1\pm\sqrt{-19}}{2}\\x=\frac{1\pm\sqrt{19}i}{2}

Finding value of y:

y = -6x + 5

y = -6(\frac{1\pm\sqrt{19}i}{2})+5

Since terms containing i are complex numbers, so System B has no real solutions.

System B has 0 real solutions.

System C

y = -2x^2 + 9    eq(1)

8x - y = -17        eq(2)

Putting value of y in eq(2)

8x - (-2x^2+9) = -17

8x +2x^2-9 +17 = 0

2x^2 + 8x + 8 = 0

2x^2 +4x + 4x + 8 = 0

2x (x+2) +4 (x+2) = 0

(x+2)(2x+4) =0

x+2 = 0 and 2x + 4 =0

x = -2 and 2x = -4

x =-2 and x = -2

So, x = -2

Now, finding value of y:

8x - y = -17    

8(-2) - y = -17    

-16 -y = -17

-y = -17 + 16

-y = -1

y = 1

So, x= -2 and y = 1

System C has 2 real solutions

4 0
3 years ago
Read 2 more answers
Using altitude and hypotenuse to find the area of a right triangle
Wittaler [7]
First use Pythagoras theorem to find the remaining length of the base.
Then multiply the base with the altitude and divide that by 2 and you'll get the area
3 0
3 years ago
Line segment AB is shown on a coordinate grid:
Lady_Fox [76]

Answer:

a'b' and ab are the same length

Step-by-step explanation:

they are both four squares long

7 0
2 years ago
a washer and dryer cost 750 combined the washer cost $50 more than the dryer what is the cost of the dryer?​
-BARSIC- [3]

Answer:

350$ for dryer

Step-by-step explanation:

x = cost of dryer
x + 50 = cost of washer

750 = x + (x + 50)
750 = 2x + 50
700 = 2x
350 = x

3 0
2 years ago
Other questions:
  • HELP NEEDED solve 54/ 2x + 1
    10·1 answer
  • What is 18in to 4 ft in simplest form
    14·1 answer
  • 98 POINTS ONE GEOMETRY QUESTION PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!
    5·1 answer
  • UV and RV are secant segments that intersect at point V.
    5·2 answers
  • Si f(x)=2x-6 , entonces f(3)=?
    15·2 answers
  • two trains are 500 miles apart when they first enter a colision course. If after, two hours the distance between them is 300 mil
    11·1 answer
  • 1. Find the value of x.<br> 55°<br> (4x - 5)°<br> O<br> 26<br> O
    6·1 answer
  • Write a real world problem for: f + 5 = 9
    10·2 answers
  • What is the measure of ZX?
    8·1 answer
  • Pizza prices by city (Data in Pizza prices) The company that sells frozen pizza to stores in four markets in the United States (
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!