If (x + y) + 61 = 2, what is x + y?
2 answers:
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The given equation represents a function and inverse of the function exist if x ≥ 6.
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
y = 2(x – 5)² – 6
Part A:
Using vertical line test, we can find the whether the graph is a function or not.
After drawing a graph for the given curve, and drawing a vertical line.
The vertical line touches only one point for the one input.
The given equation represents a function.
Part B:
Replace x → y and y → x
x = 2(y – 5)² – 6
2(y – 5)² = x + 6
Plug x = 1 in the y:
y = 26
Plug = 1 in inverse of a function:
x = 26
Thus, the given equation represents a function and inverse of the function exist if x ≥ 6.
Learn more about the function here:
#SPJ1
Multiply 520 students by 20% (0.20).
520 * 0.20 = 104
Multiply 104 students by 12.5% (0.125).
104 * 0.125 = 13
13 students were on the wrestling team.
dimes (d) = n + .80, nickels (n) = n
Make the dimes and nickels add up to $1.40 in an equation.
(n + .80) + n = 1.40
Combine like terms.
2n + .80 = 1.40
Subtract .80 from both sides.
2n = 0.60
Divide both sides by 2.
n = 0.30
Divide this by 0.05 (how many nickels are in a dollar).
0.30/0.05 = 6
d = n + 0.80 ⇒ 0.30 + 0.80 = 1.10
Divide this by 0.10 (how many dimes are in a dollar).
1.10/0.10 = 11
There are 6 nickels and 11 dimes in the bank.