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
Hi there!
For any 45 45 90 right triangle, the length of the hypotenuse is always the square root of 2 times one of the legs.
To get the lengths of the leg, let's divide the length of the hypotenuse by the square root of 2.
We get the following:

When simplifying fractions like this, we want to avoid having radicals on the bottom. In order to remove the radical from the denominator, let's multiply the numerator and the denominator by the square root of 2.
We get the following:

That's your answer.
Have an awesome day! :)
- collinjun0827, Junior Moderator
Answer:
s = 4
Step-by-step explanation:
The equation for the line of best fit for the data is p=25s+40.
Where p is no. of points and s is no. fo strikes
We need to find the number of strikes made by a bowler with 140 points.
Put p = 140
p=25s+40
140 = 25s+40
Subtract 40 to both sides,
140-40 = 25s+40-40
100 = 25s
⇒ s = 4
So, there are 4 strikes made by a bowler with 140 points.
Answer: 3 or -3
Step-by-step explanation:
4 - |x| = 1
First subtract 4
-|x| = -3
The | | sign makes it both positive and negative
So -|3| and -|-3| will = -3
The smallest natural number is 1. The largest natural number does not exists because there will always be one even larger. But if you are asking the number of all natural numbers or the size of natural number set then
is your answer.