Answer:
- The function is injective but nor surjective
Step-by-step explanation:
<u>We see that:</u>
<u>For any x₁ and x₂ ∈ N, </u>
- f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers
It it confirmed one-to-one, hence it is injective
<u>Check the surjectivity:</u>
f(x) = y ∈ N
<u>Let y = 2, then:</u>
Since x is not natural, the function is not surjective
The answer would be y=(x+4)^2-37
Answer:
y = 
x - 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) =( 8, - 3) and (x₂, y₂ ) = (0, - 5)
m = 
= 
=
Note the line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = x - 5 ← equation of line
Answer is A all real numbers
The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5
Polynomial is an expression that involves the <em>operations of addition, subtraction, multiplication of variables.</em>
Let C represent the cost for buying and caring for n trees. Given that:
C = 0.001n² - 0.3n + 50.
The minimum cost is at dC/dn = 0, hence:
dC/dn = 0.002n - 0.3
0.002n - 0.3 = 0
0.002n = 0.3
n = 150
C(150) = 0.001(150)² - 0.3(150) + 50 = 27.5
The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5
Find out more at: brainly.com/question/25836610
