State whether the given equation or function is linear. write yes or no. explain your reasoning.
5x^4 + 5y = 9
yes, the equation is in linear form. it is in the form xy = c.

yes, the equation is linear. 0

no, the equation is not linear. it is not in the form ax + by = c.

no, the equation is not linear. it is in the form x + y = c.

Option C is correct.

Step-by-step explanation:

The given equation or function is linear if the variables x and y have degree zero or 1.

The given equation is 5x^4+5y =9

here x has degree =4 and y has degree = 1, but for linear equation both x and y variables must have degree zero or 1.

So, Option C is correct.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

$650 per month plus utilities

step-by-step explanation:

just based on the info you gave, it would seem more cost effective to rent at $650 per month plus utilities.   if utilities are, in fact, $150 per month, your monthly living costs would be $800 as opposed to the other option of $825.