Here is the graph, you can match it yourself:
An expression is defined as a set of numbers, variables, and mathematical operations. The given exponential function when simplified will result in 4^(1/8). The correct option is A.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given exponential expression can be simplified as shown below.
Using the exponential property (mᵇ)ˣ = mᵇˣ,
= 
= 
Hence, the given exponential expression when simplified will result in 4^(1/8).
Learn more about Expression here:
brainly.com/question/13947055
#SPJ1
Answer:
x = -10
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
4.5(8 - x) + 36 = 102 - 2.5(3x + 24)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60
- Combine like terms: -4.5x + 72 = -7.5x + 42
- Add 7.5x on both sides: 3x + 72 = 42
- Subtract 72 on both sides: 3x = -30
- Divide 3 on both sides: x = -10
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
- Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
- Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
- Add: 4.5(18) + 36 = 102 - 2.5(-6)
- Multiply: 81 + 36 = 102 + 15
- Add: 117 = 117
Here we see that 117 does indeed equal to 117.
∴ x = -10 is a solution of the equation.
Your answer was correct . Maybe you have an extra space in your answer ? I worked out the problem twice and got -49/8, -163/8
<em>60 ; 100</em>
- <em>Step-by-step explanation:</em>
<em>Hi there ! </em>
<em>HCF = 20 = 4×5 = 2²×5</em>
<em>LCM = 300 = 3×100 = 3×4×25 = 2²×3×5²</em>
<em>LCM/HCF = 2²×3×5²/2²×5 = 3×5</em>
<em>a = 3×hcf = 3×20 = 60</em>
<em>b = 5×lcm = 5×20 = 100</em>
<em>Good luck !</em>
<em />
