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3 years ago

Identify the steps to completing the square. Its on my algebra 2 homework and i have no idea what it means

1 answer:

4 0

1. your leading coefficient has to be 1 (nothing before the x^2). If there is you have to divide that out before you start.
2. Move your constant (the number without any x attached) to the other side of the equation
3. take 1/2 of the b term (the one with the x attached) and then square it and then add it to both sides
4. Factor the left side
5. Set each factor equal to 0 and solve

Here is an example:

4x^2-24x+20=0
The first term is not a 1 so we have to divide it out by 4 first
x^2-6x+5=0
Move the 5 to the other side. It becomes negative.
x^2-6x=-5
Take 1/2 of 6 (3) then square it (9) and add it to both sides.
x^2-6x+9=-5+9
Factor the left side
(x-3)(x-3)=4
(x-3)^2=4
To solve you need to square root both sides
x-3=+/-
x-3=+/-2
x=3+2=5
x=3-2=1
Those would be your two answers.

Hope that helps

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12 pots cost $27 . what is the cost of 8 pots?

Alborosie

Answer:

$18

Step-by-step explanation:

you divide 27/12= 2.25 this gives you the price for one.

then you multiply 8 × 2.25 = $18

$18 dollars is the price for 8 pots

6 0

3 years ago

You are purchasing office supplies. Because of the volume of your orders your company receives 15% off all purchases. You buy a

vova2212 [387]

First add 24.95 and 35.99. You get 60.94 (Remember This!)

Now you take 49.95 divided by 2. you should get: 24.975.

add 24.975 with 60.94. You get 85.915

take 85.915 and multiply it by 0.15. You get 12.88725.

Subtract 85.915 by 12.88725. You should get 73.02775.

Now multiply that by 0.045. you should get 3.28624875.

Add that onto 73.02775, and you get 76.31399875.

Round that to the nearest hundredth, and your done! (The answer is: 76.31!)

The answer will be the B.

6 0

3 years ago

how many pounds of nuts selling for $9 per lb and raisins selling for $3 per lb should a person combine to obtain 60 lb of a tra

marta [7]

Let n be the number of lbs of nuts.
Let r be the number of lbs of raisins.
9n + 3r = 60 * 5 = 300 .............(1)
n + r = 60
n = 60 - r ...............(2)
Plugging the expression for n in (2) into (1) we get:
9(60 - r) + 3r = 300
which expands to:
540 - 9r + 3r = 300 .............(3)
Simplifying and rearranging (3) we get:
-6r = -240
Therefore r, the weight of raisins = 40 lbs
and the weight of nuts is 60 - 40 = 20 lbs

8 0

3 years ago

Hi there! Can someone help me with this, i need a proper answer, i don't need LINKS or FILES for the explanations.

alexira [117]

Answer:

Using below system of inequalities

y > 2x - 3
y < x + 1

Following the rules

1. Finding x- and y - intercepts
2. Connecting with dotted line for each as no equal symbol present in any inequality
3. Shade respective regions
4. Solution is the intersection of the shades regions
5. Select any three points in the solution region

Line 1

y > 2x - 3
x- intercept: y = 0 ⇒ 0 = 2x - 3 ⇒ 2x = 3 ⇒ x = 1.5
y - intercept: x = 0 ⇒ y = -3
Shaded region is above the line (or to the left)

Line 2

y < x + 1
x- intercept: y = 0 ⇒ 0 = x + 1 ⇒ x = -1
y - intercept: x = 0 ⇒ y = 1
Shaded region is below the line (or to the right)

Selected points are:

(-1, -1), (1, 1), (2, 2)

4 0

3 years ago

What are the factors of

Veronika [31]

Step 1: Trying to factor as a Difference of Squares:

Factoring: x²⁰⁰² - 1

Theory : A difference of two perfect squares, A² - B² can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A² - AB + BA - B² =

A² - AB + AB - B²

A² - B²

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰² is the square of x¹⁰⁰¹

Factorization is : (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

7 0

2 years ago