<span>This is quite challenging, but here’s the solution:
</span>
y = x^2 - 10x + 25 - 25
<span> y = (x-5)^2 - 25</span>
<span> y + 25 = (x-5)^2</span>
<span> x - 5 = ±sqrt(y+25)</span>
<span> You will derive TWO inverses:</span>
<span> x = 5 + sqrt(y+25),</span> for x ≥ 5
<span> x = 5 - sqrt(y+25),</span> for x ≤ 5
The expression in question is:
f(x) = x³ – 2x² – x + 2
To determine the roots, follow these steps:
1. Set the equation to zero:
0 = x³ – 2x² – x + 2
2. Factor the equation to get:
(x-2)(x-1)(x+1) = 0
3. The roots can be identified as follows:
x1 = -1
x2 = 1
x3 = 2
This statement is incorrect.
In f(3x), the input 'x' is multiplied by 3 prior to being substituted into the function.
Conversely, with 3f(x), the result (output) is multiplied by 3 after you have calculated the output from the input value.
For a 560-mile journey, Mrs. Allan's car will require 20 gallons of fuel. Meanwhile, Mrs. Owen's vehicle will need 16 gallons for the same distance.
Answer:
Vertex: (1, -4)
intercept: (-3, 0)
Step-by-step explanation:
Let's be honest, you're not here for a detailed breakdown; you simply want the answer.
HOWEVER... the vertex corresponds to the Y-axis while the intercept aligns with the X-axis.
