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:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
--------------------------------------------
(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
Answer:
n = 21
Step-by-step explanation:
5(n-7)=2(n+14)
Distribute
5n -35 = 2n+28
Subtract 2n from each side
5n-2n -35 = 2n-2n +28
3n-35 =28
Add 35 to each side
3n-35+35 = 28+35
3n = 63
Divide by 3
3n/3 = 63/3
n =21
Answer:62.5%
Step-by-step explanation:You do 5/8 and then divide it and you will get a decimal and move the number 0.625 back to the tens which will get you 6.25%
Answer:
$1.6
Step-by-step explanation:
The price of $2.32 already includes the 45% mark up hence taking the original cost to be x, it means the cost of $2.32 is 145% of the original cost
Using the concept of cross multiplication we say that if
1.45 is equivalent to $2.32
1 is equivalent to x
Therefore, the company incurs $1.6 for each plug
