Answer:
x = 1
General Formulas and Concepts:
<u>Pre-Algebra</u>
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
1/2(8x - 4) = 2x
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 1/2: 4x - 2 = 2x
- [Subtraction Property of Equality] Subtract 2x on both sides: 2x - 2 = 0
- [Addition Property of Equality] Add 2 on both sides: 2x = 2
- [Division Property of Equality] Divide 2 on both sides: x = 1
Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
<u> Result</u>
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
<h2><u>
x = 145</u></h2>
Answer:
a = 3, b = -1, c = 10
Step-by-step explanation:
Let the three numbers be a, b and c.
Equation 1: a + b + c = 12
Equation 2: a + 2b + 3c = 31
Equation 3: 9b + c = 1
Equation 2 - Equation 1:
Equation 4: b + 2c = 19
Equation 3 times by the number 2
Equation 5: 18b + 2c = 2
Equation 5 - Equation 4
17b = -17
b = -1
Substitute into Equation 4:
2c - 1 = 19
2c = 20
c = 10
Substitute into Equation 1:
a + b + c = 12
a - 1 + 10 = 12
a = 3
Answer:
a
Step-by-step explanation:
they have to win over the same customers
Answer:

The quadratic equation has one real root with a multiplicity of 2.
Step-by-step explanation:
Given a quadratic equation:

You can find the Discriminant with this formula:

<em> </em>In this case you have the following quadratic equation:

Where:

Therefore, when you substitute these values into the formula, you get that the discriminant is this:
Since
, the quadratic equation has one real root with a multiplicity of 2 .