<u>Step-by-step explanation:</u>
An equation is a mathematical statement that two things are equal. It consists of two expressions, one on each side of an 'equals' sign. If the quadratic polynomial = 0, it forms a quadratic equation. Therefore, the standard form of a quadratic equation can be written as: ax² + bx + c = 0 ; where x is an unknown variable, and a, b, c are constants with 'a' ≠ 0 (if a = 0, then it becomes a linear equation).An equation with a degree of 2 is a quadratic polynomial , which means having a maximum of degree 2 .
Given below are some examples of equation with a degree of 2 :
6x² + 11x - 35 = 0.
2x² - 4x - 2 = 0.
-4x² - 7x +12 = 0.
20x² -15x - 10 = 0.
x² -x - 3 = 0.
5x² - 2x - 9 = 0.
3x² + 4x + 2 = 0.
-x² +6x + 18 = 0
Answer:
4
Step-by-step explanation:
the time it takes for a plane to travel a distance varies directly as the speed of the plane because ts=16,200
6w^2 - 21w + 10w - 35
3w( 2w - 7) + 5 ( 2w - 7)
(3w + 5) ( 2w - 7)
This is the factorised form.
Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
<h3>Part A)</h3>
2(x - 3) = 3x - 3
<em>open the parenthesis</em>
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
<em>subtract 2x from both sides</em>
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
<em>add 3 to both sides</em>
-6 + 3 = x
-3 = x
<h3>
Part B)</h3>
|2x + 6| = 8
<em>split this into two equations:</em>
<em>2x + 6 = 8</em>
<em>&</em>
<em>2x + 6 = -8</em>
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
<h3>Part C)</h3>
-5(x + 1) > 30
<em>open the parenthesis</em>
-5x - 5 > 30
<em>add 5 to both sides</em>
-5x > 35
<em>divide both sides by -5</em>
x > -7
<em>since you divided by a negative, flip the sign.</em>
x < -7
<h3>
Part D)</h3>
f(x) = 4x - 3
<em>substitute x for 5</em>
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
