What are the domain and range of the relation (–4, 2), (0, 1), (0, 5), (8, 10)?
a.
domain: {2, 1, 5, 10}; range: {–4, 0, 8}
b.
domain: {–4, 0, 5, 10}; range: {2, 1, 8}
c.
domain: {–4, 0, 8}; range: {2, 1, 5, 10}
d.
domain: {–4, 2, 0, 1, 5, 8, 10}; range: {–4, 2, 0, 1, 5, 8, 10}

The correct option is C. Domain: {–4, 0, 8}; Range: {2, 1, 5, 10}

Step-by-step explanation:

The relation is given to be : (–4, 2), (0, 1), (0, 5), (8, 10)

Domain is defined as the set of all points of the input set of the relation.

Set of input is the collection of all the x- coordinates of the relation.

x - coordinates of the relation are : -4 , 0 , 8

Thus, Domain : { -4 , 0 , 8}

Range is defined as the set of all points of the output set of the relation.

Set of output is the collection of all the y-coordinates of the relation.

y-coordinates of the relation are : 2 , 1 , 5 , 10

Thus, Range : { 2 , 1 , 5 , 10 }

Therefore, The correct option is C. Domain: {–4, 0, 8}; Range: {2, 1, 5, 10}

it costs $20 to interview each person for a survey. find the cost to obtain a +- 3% margin of error.

step-by-step explanation:

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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)