Answer:
(2, -1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
2x + y = 3
-2x + 5y = -9
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine equations: 6y = -6
- Divide 6 on both sides: y = -1
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define equation: 2x + y = 3
- Substitute in <em>y</em>: 2x - 1 = 3
- Isolate <em>y</em> term: 2x = 4
- Isolate <em>y</em>: x = 2
Answer:
Multiply the first fraction by 
Multiply the second fraction by 
Step-by-step explanation:
Given

Required
Make the denominator equal

Factorize the denominator


Multiply the first fraction by 
Multiply the second fraction by 



<em>The expression now have the same denominator</em>
Answer:
In the sciences, many times it is necessary to be able to interpret graphs as well as be able to graph certain equations. Often data is available in a graphical format and you must be able to extract the necessary information. Other times, it may be helpful to plot an equation in order to fully understand a problem. However, graphing can be difficult for some students. The format in this section is a little different. The first part will be simply showing what some special equations look like in graphical form and the second part will be a series of questions to help you understand graphs better.
Step-by-step explanation:
There are 1000ml in a liter of water, so depending on how many ml the regular bottles or glasses have, do
x=ml in regular bottles or glasses of water
b= how many regular bottles or glasses of water there would be in a liter of water
1000/x=b
Answer:
f(x) = 
Step-by-step explanation:
If
is a root, then so is -
f(x) = 3(x +
)(x -
)(x - 2)
= 
= 3(
)
= 