Answer:
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
- Subtraction Property of Equality
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse
[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify variables</em>
<em>a</em> = 8
<em>b</em> = 12
<em>c</em>
<u>Step 2: Solve for </u><em><u>c</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 12² = c²
- Evaluate exponents: 64 + 144 = c²
- Add: 208 = c²
- [Equality Property] Square root both sides: √208 = c
- Rewrite: c = √208
- Simplify: c = 4√13
<u>Step 3: Define Pt. 2</u>
<em>Identify variables</em>
Angle θ
Adjacent leg = 8
Hypotenuse = 4√13
<u>Step 4: Find</u>
- Substitute in variables [Cosine]:
- Rationalize:
Answer:
- The y-intercept of function f(x) is 2.
- The y-intercept of function g(x) is -3.
Therefore, we conclude that function f(x) has a greater y-intercept.
Step-by-step explanation:
The y-intercept of any function can be determined by checking the value of y at x = 0.
<u>Important Tip</u>
- A point where the graph meets the y-axis — y-intercept.
Determining the y-intercept of the function f(x)
Given the function f(x) passes through the point (0,2).
It means at x = 0, the value of y = 2
Thus, the y-intercept of function f(x) is 2.
Determining the y-intercept of the function g(x)
Given the function g(x)
substitute x = 0 in the function equation
It means at x = 0, the value of y = -3
Thus, the y-intercept of function g(x) is -3.
Conclusion:
- The y-intercept of function f(x) is 2.
- The y-intercept of function g(x) is -3.
As 2 > -3
Therefore, we conclude that function f(x) has a greater y-intercept.
Answer:
please post a more cohesive question. The values are very confusing
Answer:
Step-by-step explanation: