AHH THIS IS TOO MUCH!!
(MATHEMATICS) (Q2)
POINTERS TO REVIEW
[Linear Inequalities in 2 Variables]
4 Forms of Linear Inequality
- Ax + By > C
- Ax + By < C
- Ax + By is greater than or equal to C
- Ax + By is less than or equal to C
{A,B and C are real numbers, a, b ≠ o}
The ordered pair (x,y) is the solution
Graph of of inequality is a half-plane (either a solid or broken line)
Shaded part - solutions
Ex: 16 - y > x (-1, 9)
16 - 9 > -1
7 > -1
TRUE
Therefore, (-1, 9) is a SOLUTION of the
inequality.
[Graphing Linear Inequalities in 2 Variables]
1. Rewrite the inequality as an equation and solve for the intercepts (when solving for x intercept, y =0 and vice versa)
2. Plot and draw the boundary line; solid line if the inequality is (greater than or equal to / less than or equal to) and broken line if the inequality is (> or <).
3. Pick a test point (0,0). Replace x and y with the coordinates of that point.
4. If the resulting inequality is TRUE, shade the side that contains the test point. Shade the other side of the line if the inequality is FALSE.
Ex: 3x + 6y > 18
Step 1: 3x + 6y = 18
Step 2:
X- intercept
3x + 6(0) =18
3x + 0 = 18
3x = 18
3x / 3 = 18 / 3
x = 6 y = 0
Y- intercept
3(0) + 6y = 18
0 + 6y = 18
6y = 18
6y / 6 = 18/ 6
x = 0 y = 3
(0 ,3)[Systems of Inequalities]
Standard form ----> Ax + By > C
Slope - Intercept Form --> y > mx + b
Ex: 2x + 3y < 10 --------> 3y < -2x + 10
[ Intercept Method ]
y < 2x -4 m = 2 b = 4
m = rise / run
m = 2 (rise) / 1 (run)
[ Relation and Function ]
set of abscissa - domain
set of ordinate - range
relation - set of ordered pairs
function - x values are not repeated
x values - input
y values - output
Representations of Relations
- Table of Values
- Mapping Diagram
- Graph
Kinds of Relations
One-to-one relation ------> Function
One-to-many relation ----> Mere Relation
Many-to-one relation -----> Function
"All functions are relations, BUT not all relations are functions."[ Vertical Line Test ]
A graph that gets hit once by the y-axis is a FUNCTION, otherwise it is a MERE RELATION.
[ Exponential Functions ]
Odd exponent --> Function
Even exponent --> Mere Relation
Ex:
y = 2x + 3 ----> Function
y² = 3x + 4 ----> Mere Relation
[ Function Notation ]
y = f (x) dependent variable - y
independent variable - x
2x + 4y = 8
4y = -2x +8
4y / 4 = -2x / 4 + 8 /4
y = -½x + 2
f(x)= -½x + 2
[Conditional Statement]
p is called the HYPOTHESIS and q is CONCLUSION
p begins with if
q begins with them
(TLE) (CAREGIVING) (Q2)
POINTERS TO REVIEW
[Tools, Equipment and Paraphernalia in Caregiving]
Tools - light devices, usually handheld
Equipment - uses electricity
Paraphernalia - organizer
((READ MODULE!!!!)
[Hazards and Risk]
Physical Hazard - caused by humans
- Fire
- Falls
- Electrocution
Biological Hazard / Bio Hazard
- Blood or other body fluids
- Bacteria and viruses
- Fungi
- Contaminated wastes
Effects
- Infections
- Tuberculosis
- Skin Irritations
- Allergy
- AIDS
Ergonomic Hazard - awkward body positions, working conditions
- Lifting heavy loads
- Too much bending and reaching
- Standing for long periods of time
- Repeating movements
Effects
- Back injury
- Shoulder pain
- Numbness
- Muscle cramps
Chemical Hazard
- Liquids , cleaning products
- disinfecting solutions
Effects
- Lung diseases
- Difficulty in breathing
- Allergy
Psychological Hazard
- Burnout fatigue
- Unreasonable expetations
- Verbal abuse
Effects
- Depression
- Anxiety
- Loss of confidence and concentration
- Deterioration of performance at work
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