The maximum value is actually the maximum of y
So, you don't need to care about the stuff inside cosine function,
Cosine function is always within the range of [-1,1]
So here, ymax = -1 + 6* 1 = 5
Okay, I will try to help you the best I can!!
16)
s^1/4 * s^1/4 * s^1/4 * s^1/4 = s^(1/4 + 1/4+1/4+1/4) = s^4/4 = s
Answer is s
15) Answer is 1. (because any number to the 0 exponent is equal 1 , except 0)
17)
= (t^3/6)^2 = t^6/6 = t
Answer is t
Answer:
(4, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equation using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
2x - 3y = 5
4x + 2y = 18
<u>Step 2: Rewrite systems</u>
2x - 3y = 5
y = 9 - 2x
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: 2x - 3(9 - 2x) = 5
- Distribute -3: 2x - 27 + 6x = 5
- Combine like terms: 8x - 27 = 5
- Add 27 on both sides: 8x = 32
- Divide 8 on both sides: x = 4
<u>Step 4: Solve for </u><em><u>y</u></em>
- Define: 2x - 3y = 5
- Substitute: 2(4) - 3y = 5
- Multiply: 8 - 3y = 5
- Isolate <em>y</em> term: -3y = -3
- Isolate <em>y</em>: y = 1
And we have our final answer!