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
Answer:
w =4 ft and l =10 ft
Step-by-step explanation:
Let w = width
l = 2w+2
A = l*w
A = (2w+2)(w)
40 = (2w+2) w
Distribute
40 = 2w^2 +2w
Subtract 40
0 = 2w^2 +2w - 40
Dividing each side by 2
0 = w^2 +w -20
Factor
0 = (w+5) (w-4)
Using the zero product property
w+5 =0 w-4=0
w= -5 w=4
Since we cant have a negative length
w=4
l = 2w+2 = 2(4)+2 = 8+2 =10
Volume of a cube is a side length cubed
So 7*7*7
Answer is 343 centimeters
Replace a and b with their given values:
(2(3/5) -1/3) / -6.75/15
2 x 3/5 = 6/5
6/5 - 1/3 = 18/15 - 5/15 = 13/15
13/15 / -6.75/15 = 13/15 x 15/-6.75 = (13 x 15) / (15 x -6.75) = 195/-101.25 = -1 25/27
Answer: -1 and 25/27
Your answer is 21.7724<span>Kilograms</span>
