Answer:

Step-by-step explanation:
Given rational expression is,

x - 2) 2x² + 5x - 14(2x + 9
<u>2x² - 4x</u>
9x - 14
<u>9x - 18</u>
4
Therefore,
is the answer.
Answer:
D 13
Step-by-step explanation:
To find out how many floors the building has, we take the height of the building and divide by the size of each floor
floors = 185.9 ft / 14.3ft per floor
= 13 floors
Answer:
x = -4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
-15x + 5 = -10x + 25
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 15x on both sides: 5 = 5x + 25
- Subtract 25 on both sides: -20 = 5x
- Divide 5 on both sides: -4 = x
- Rewrite: x = -4
The error made by zacharias in solving the quadratic equation 0 = -2x² + 5x - 3 using quadratic formula is; the 2 in the numerator should be –2.
<h3>Quadratic equation</h3>
There are four methods of solving quadratic equation. Namely;
- Factorization method
- Completing the square method
- Graphical method
- Formula method
0 = -2x² + 5x - 3
x = -b ± √b² - 4ac / 2a
where,
x = -b ± √b² - 4ac / 2a
x = -5 ± √5² - 4(-2)(-3) / 2(-2)
= -5 ± √25 - (24) / -2
= -5 ± √1 / -2
= -5/2 ± 1/2
= -5/2 - 1/2 or x = -5/2 + 1/2
= -5-1 / 2 or -5+1/ 2
x = -6/2 or -4/2
x = -3 or -2
Therefore, the solution to the quadratic equation is x = -3 or -2
Learn more about quadratic equation:
brainly.com/question/1214333
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Answer:
option d. vertical opposite angle