<h3>Given</h3>
<h3>Find</h3>
<h3>Solution</h3>
It can be convenient to rewrite f(x) as a square, then do the substitution. That way, the algebra is simplified a little bit.
... f(x) = (x +1)²
... f((2a-3)/5) = ((2a-3)/5 +1)² = ((2a -3 +5)/5)²
... = (2/5(a+1))²
... f((2a-3)/5) = (4/25)(a² +2a +1)
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
D. 25 feet
EXPLANATION
The height of the wall,h, the taut wire and the distance from the base of the pole to the point on the ground, formed a right triangle.
According to the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.
Let the hypotenuse ( the length of the ) taught wire be,l.
Then
Omg my name is Samantha sorry i can’t help you. I hope someone can help you!!!!
825 - 625i
Hope it’s right
Best luck with your studying
