Answer:
C. 5x² - 4
General Formulas and Concepts:
<u>Algebra I</u>
- Composite Functions
- Combining Like Terms
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 4x² + 1
g(x) = x² - 5
(f + g)(x) is f(x) + g(x)
<u>Step 2: Find (f + g)(x)</u>
- Substitute: (f + g)(x) = 4x² + 1 + x² - 5
- Combine like terms: (f + g)(x) = 5x² - 4
The point
is on the graph of the equation.
Explanation:
The equation is 
We need to determine the point
is on the graph.
To determine the point
is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.
Thus, substituting the point
in the equation
, we get,

Multiplying the terms within the bracket, we have,

Adding the LHS, we have,

Thus, both sides of the equation are equal.
Hence, the point
is on the graph of the equation 
Answer:
18 and 6
Step-by-step explanation:
Rn = 6 Ratio numerator
Rd = 2 Ratio Denominator
Rs = Rn + Rd
Rs = 6 + 2
Rs = 8
Ratio Sum
a = 24 Amount to Divide
M = a ÷ Rs
M = 24 ÷ 8
M = 3 Multiplier Ratio Division Calculation
Rr = Rn × M : Rd × M
Rr = 6 × 3 : 2 × 3
Rr = 18 : 6