Answer:
A.) Even.
Step-by-step explanation:
If a function is an even function, then
F(-x) = f(x)
Also, if a function is an odd function, then, f(-x) = -f(x)
You are given the below function
f(x) = 1 + 3x^2 − x^4
Let x = 2
Substitute 2 for x in the function
F(x) = 1 + 3(2)^2 - (2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Also, Substitute -2 for x in the function
F(x) = 1 + 3(-2)^2 - (-2)^4
F(x) = 1 + 3(4) - 16
F(x) = 1 + 12 - 16
F(x) = -3
Since f(-x) = f(x), we can conclude that
F(x) = 1 + 3x^2 - x^4 is even
Answer:
There are 101 marbles in each bag and 10 marbles left over
Step-by-step explanation:
We can use the modulus to find out left over. The modulus is the remainder of the division from one number by another number. For example, 7 % 2 = 1. When you divide 7 by 2, division is 3 but the remainder is 1.
1525 % 15 = 10 marbles are left over
Now, we know that 1525 - 10 = 1515 marbles are equally put into each bag. That means each bag contains
1515 / 15 = 101 marbles
The no equivalent answer is C.
Reasoning:
To find the answer you have to multiply 9 x 5/6. Because 9 is a whole number, if we put it over 1 it makes it easier to multiply.
9/1 x 5/6 is 45/6.
Now that we have this, we need to find which answers are correct.
If we change 45/6 into a mixed number, we have to do 45 divided by 6. 45 divided by 6 is 7. 6 x 7= 42. 45-42=3 so the mixed number would be 7 3/6. 3/6 is equal to 1/2 so it can also be 7 1/2. This means A. Is correct.
For the next two multiple choice possible answers, they simplified 45/6. Both have a denominator (bottom of the fraction) of 2. This means we need to divide by a number that will make the denominator 2
45/6 divided by 3/3 will get 15/2. This means B. Is also correct.
Because A and B are correct, this means that C. Is not an equivalent answer.
I hope this helps! If you need any help let me know.