Part a: solve the equation 4(x + 5) = 9x + 4x − 34, and show your work. (5 points)
part b: use this list of properties to justify each step of your math work. justifications may be used more than once if needed. (5 points)

distributive property
subtraction property of equality
combine like terms
multiplication property of equality
division property of equality
given
addition property of equality

answer:

the first step is using the distributive property to remove the fraction.

the second step is combining like terms.

the third step is adding to both sides, so is using the addition property of equality.

the fourth step is dividing to get x.

the correct answer is:

1. distributive property 2. combine like terms 3. addition property of equality 4. division property of equality

step-by-step explanation:

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

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.