Answer:
True:
D.
E.
F
Step-by-step explanation:
First, you should know that the square of any odd number is also odd.
The easiest way to go about this is to plug in an odd number for n. Lets use 3:
Plug 3 into A:
Plug 3 into B:
Plug 3 into C:
Plug 3 into D:
Plug 3 into E:
Plug 3 into F:
The correct answer is option D. Which is the even function is f (x) = x⁴.
<h3>What is an even function?</h3>
The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).
let us check the given four options:-
A f(x) = √x ; f(-x) = √-x here f(x) ≠ f(-x)
B f(x) = x ; f(-x) = -x here f(x) ≠ f(-x)
C f(x) = x³ + 1 ; f(-x) = -x³ + 1 here f(x) ≠ f(-x)
D f(x) = x⁴ ; f(-x) = (-x)⁴ = x⁴ here f(x) = f(-x)
We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).
Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.
To know more about even functions follow
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Answer:
The difference between the two weekly salaries is $122
Step-by-step explanation:
One job pays $64,600 per year. Since there are 52 weeks in a year, the weekly salary for this job is the quotient: $64600/52 = $1242.31 which rounded to the nearest dollar gives: $1242 per week
The other job pays $1120 per week. Therefore the difference in weekly salary for the two is:
$1242 - $1120 = $122
1 lb = 0.45 kg
52 lb= 0.45 * 52
52 lb= 23.4 kg
Answer:
$36.9135
Step-by-step explanation:
Markup = 17% of 31.55
= 17/100 × 31.55
= 5.3635
Retail price = whole sale price + markup
= 31.55 + 5.3635
= $36.9135
