Answer:
f(x)=x^3-3x^2+25x-75
Step-by-step explanation:
Solve for x:
x^3 - 3 x^2 + 25 x - 75 = 0
The left hand side factors into a product with two terms:
(x - 3) (x^2 + 25) = 0
Split into two equations:
x - 3 = 0 or x^2 + 25 = 0
Add 3 to both sides:
x = 3 or x^2 + 25 = 0
Subtract 25 from both sides:
x = 3 or x^2 = -25
Take the square root of both sides:
Answer: x = 3 or x = 5 i or x = -5 i
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Answer:
PART A
length of foot = y
length of forearm = x = 17
Equation: y = 0.860x + 3.302
Plug in 17 for x in the equation, and simplify. Remember to follow PEMDAS, first multiply, then combine like terms:
y = (0.860)(17) + 3.302
y = 14.62 + 3.302
y = 17.922
length of foot = y = 17.922 inches long
Let's do
Release k for some while
If
So
So vertical asymptote is at origin now
It mentioned that it's at x=-5 so we need to change x
- Vertical asymptote at x=-5
Now
- for k=0 horizontal asymptote at origin
But it's given
Same put y=12 in place of k
Graph attached for verification
Answer:
C and D
Step-by-step explanation:
Given
x² + 2x = 3 ( subtract 3 from both sides )
x² + 2x - 3 = 0 ← in standard form
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3 → D
x - 1 = 0 ⇒ x = 1 → C
