Answer: The equation is $29 + x*$4.50 = $42.50, and the solution is x = 3
Step-by-step explanation:
The data we have is:
Gonzales has $42.50
He wants to buy:
a shirt that costs $29
some bracelets that cost $4.50 each.
The equation that we need to solve is:
Total cost = money that Gonzales has.
The cost is $29 + x*$4.50
where x is the number of bracelets he can buy.
The equation that we need to solve is:
$29 + x*$4.50 = $42.50
to solve it we must isolate x:
x*$4.50 = $42.50 - $29 = $13.50
x = 13.50/4.50 = 3
So we have that Mr. Gonzales can buy a total of 3 bracelets.
Answer:
f(x) = -x is odd
Step-by-step explanation:
A function f is odd if f(-x) = -f(x) for all x in the domain of f. Then, let's check each of the functions.
1. f(x) = x^3 + 5x^2 + x
f(-x) = (-x)^3 + 5(-x)^2 + (-x) = -x^3 + 5x^2 - x
-f(x) = -(x^3 + 5x^2 + x) = -x^3 - 5x^2 - x
Given that f(-x) ≠ -f(x). The function f is not odd.
2. f(x) = sqrt(x)
f(-x) = sqrt(-x) (Imaginary number)
-f(x) = -sqrt(x)
Given that f(-x) ≠ -f(x). The function f is not odd.
3. f(x) = x^2 + x
f(-x) = (-x)^2 -x = x^2 - x
-f(x) = -x^2 - x
Given that f(-x) ≠ -f(x). The function f is not odd.
4. f(x) = -x
f(-x) = - (-x) = x
-f(x) = -(-x) = x
Given that f(-x) = -f(x). The function f is odd.
Answer with Step-by-step explanation:
A function f is odd if:
f(-x)= -f(x) for all x in the domain of f
1. f(x)=
f(-x)=
=
-f(x)=
f(-x) ≠ -f(x)
So, function is not odd
2. f(x)=√x
f(-x)=√(-x)
= i√x
-f(x)= -√x
f(-x) ≠ -f(x)
So, function is not odd
3. f(x)=
f(-x)=
=
-f(x)=
f(-x) ≠ -f(x)
So, function is not odd
4. f(x)= -x
f(-x) = -(-x)
=x
-f(x)=x
f(-x) = -f(x)
So, function is odd