1. simplify (4x + 2)3.
2. janice is buying paint to paint her new apartment. the store sells paint in one-gallon cans. how accurate does her estimate need to be for the amount of paint needed?
3. a city planner is measuring the distance of one city block. which unit of measure should she use: 1 mile, 1 meter, inch?
4. a book club earns $230 for its meetings. they want to divide the money to pay for 7 meetings. when the treasurer types 230 ÷ 7 into a calculator, the number that appears is 32.8571. where should the treasurer round the answer? explain.
5. kalen is trying to find the average of three measurements. the measurements are 13.8, 15.64, and 22.51. he adds the numbers and divides by three. the result on the calculator shows 17.3167. where should kalen round? explain.
6. the grand theater has 13,451 seats. if 15,340 people need to be seated in the theater for a music concert, write and solve an equation to find the number of seats that need to be added to the theater to accommodate all the people.
7. the temperature in springfield at 10: 00 a. m. was 78°f. during the day, it dropped to 56°f. write and solve an equation to find the decrease in temperature.
8. a candle is 4 inches tall and burns at the rate of 0.6 inch per hour. if the height of the candle after x hours is 1.5 inches, write an equation to represent the situation. then use this equation to find the expected number of hours in which the candle melted to 1.5 inches.
9. david had $350. after shopping, he was left with $235. if c represents the amount he spent, write an equation to represent this situation. then use the equation to find the amount of money david spent.
10. a cliff on the seashore is eroding at the rate of 17 centimeters per year. write and solve an equation to find the number of years in which the cliff will erode 85 centimeters.
11. the slope of a linear function h(x) is 2. suppose the function is translated 8 units up to get d(x). how can h(x) be translated to the left or right to represent the same function d(x)? explain your answer.
12. building codes regulate the steepness of stairs. homes must have steps that are at least 13 inches wide for each 8 inches that they rise.
a. discuss how to find the slope of the stairs.
b. describe how changing the width or height affects the steepness of the stairs.

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

idkit the do u know da way and ligma consumed ninja

step-by-step explanation:

when functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. these won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. small sets of points are generally the simplest sorts of relations, so your book starts with those.

step-by-step explanation:

state the domain and range of the following relation. is the relation a function?

{(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

the above list of points, being a relationship between certain x's and certain y's, is a relation. the domain is all the x-values, and the range is all the y-values. to give the domain and the range, i just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(it is customary to list these values in numerical order, but it is not required. sets are called "unordered lists", so you can list the numbers in any order you feel like. just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

while the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

note that all i had to do to check whether the relation was a function was to look for duplicate x-values. if you find any duplicate x-values, then the different y-values mean that you do not have a function. remember: for a relation to be a function, each x-value has to go to one, and only one, y-value.

state the domain and range of the following relation. is the relation a function?

{(–3, 5), (–2, 5), (–1, 5), (0, 5), (1, 5), (2, 5)}

i'll just list the x-values for the domain and the y-values for the range: