Which statement best describes how to determine wether f(x)=x^4-x^3 is an even function?

option 1: determine whether   (-x)^4 - (-x)^3 is equivalent to f(x)=x^4-x^3

step-by-step explanation:

first of all we will define the even function:

an even function is a function in which

f(-x) = f(x)

theoretically, putting -x in place of x gives the same original function.

so, for the given function:

f(x)=x^4-x^3

f(-x) = (-x)^4 - (-x)^3 should be equal to the original function f(x)=x^4-x^3

hence, option 1 is correct ..

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.