Answer: x < 2
Explanation: To solve for <em>x</em> in this inequality, our goal is the same as it would be if this were an equation, to get <em>x</em> by itself on one side.
Since 3 is being subtracted from <em>x</em>, we add 3
to both sides of the inequality to get <em>x < 2</em>.
Before we graph, write your answer in set notation.
We can write this as {x: x < 2}.
It's important to understand what this means.
This means that any number less than 2 is a solution to this inequality.
I have graphed the inequality for you below.
Start with an open dot on +2.
We use an open dot because +2 is not included as a solution.
Then draw an arrow going to the left.
Answer:
La cantidad de dinero adeuda al final de los dos procesos es $1450
Step-by-step explanation:
Los parámetros del proceso son;
La cantidad ahorrada para comprar ropa = $2,000
La cantidad pagada por la ropa = $2600
La cantidad prestada a un amigo = $650
La cantidad adeuda por teléfono celular durante 3 meses = $250
Deje que 'C', represente la suma de las transacciones anteriores, tenemos;
∴ C = 2,000 - 2,600 - 650 - 200 = -1,450
La suma de las transacciones anteriores, C = -$1,450
Por lo tanto, al final de los dos procesos, la cantidad de dinero adeuda es C = $1,450
-
Answer:
r = 
Step-by-step explanation:
So we need to complete the square for both parts of the equation
First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6
So first we can complete the square for x² + 2x
To do so we need to use 
to figure out the number we need to add to both sides
In this case our b is 2, so substituting this in we get 
Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1
Now we can follow the same steps to complete the square for y² + 4y
Here our b is 4, so substituting this in we get 
Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4
Now condensing everything we have (x + 1)² + (y + 2)² = 11
The formula for a circle is (x - h)² + (y - k)² = r²
In our equation we have r² = 11
To find the radius we need to take the square root of both sides 
to get r =
Answer:
19
Step-by-step explanation:
the 2 angles shown are complementary meaning that they will add up to equal 90
x+71=90
subtract 71 from each side x=19
Hey,
So we have to solve this in multiple steps. Step 1 is to find the circumference of the semi-circle and multiply by three since there are three. Step 2 would be to find the perimeter of the rectangle. Step 3 would be to add those two together.
Step 1: To find the circumference of the semicircle use the formula pi (3.14) times radius (8 ÷ 2 = 4) times 2. After that we will divide by two since there is only half. After that we will multiply that answer by three.
C = 3.14 x 4 x 2
C = 12.56 x 2
C = 25.12
C = 25.12 ÷ 2
C = 12.56
Perimeter = 12.56 x 3 = 37.68
Step 2: To find the perimeter of the rectangle/square add all the sides (8).
Perimeter = 8 + 8 + 8 + 8 = 32
Step 3: Now add the two previous answers to get the final perimeter.
37.68 + 32 = 69.68
Final Answer: 69.68
Hope this helped!
Cheers,
Izzy
