PLEASE HELP

A student says that the function f(x)=3x4+5x2+1 is an even function. Is the student's statement true or not true, and why?

1) The student's claim is not true, because for any input of x, f(x)=−f(x).
2) The student's claim is not true, because for any input of x, f(x)=f(−x).
3) The student's claim is true, because for any input of x, .f(x)=−f(x).
4) The student's claim is true, because for any input of x, f(x)=f(−x).

goog may have it for you

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet