Mathematics, 16.10.2020 08:01 keyshlavazquez5118

(03.01) Consider the two groups listed below. Which statement describes the sets?
• house
complete mailing address

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Answer from: cxm

Both (house, complete mailing address) and (complete mailing address, house) are functions.

Step-by-step explanation: A function is a relation in which each element of the domain (x-values) is mapped to one element of the range (y-values).

In the set (house, complete mailing address), the values of "house" would be the domain and the values of "complete mailing address" would be the range. In order to be a function, each value of "house" would be mapped to only one value of "complete mailing address." This is true; each house will have only one complete mailing address. This means it is a function.

In the set (complete mailing address, house), the values of "complete mailing address" would be the domain and the values of "house" would be the range. In order to be a function, each value of "complete mailing address" would be mapped to only one value of "house." This is true; each complete mailing address would go with only one house. This means it is a function.

Answer from: Quest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

Answer from: Quest

answer: 1722

step-by-step explanation:

given: the mass of saturn= $5.685\times10^{26}\ kgs$

the mass of mercury= $3.302\times10^{23}\ kgs$

the number of times the mass of saturn is greater than the mass of mercury

$=\frac{\text{mass of saturn}}{\text{mass of mercury}}\\=\frac{5.685\times10^{26}}{3.302\times10^{23}}\\\\=1.72168\times10^{26-23}{by using law of exponent}]\\=1.72168\times10^3=1721.68\approx1722$

hence, the mass of saturn is 1722 times greater than the mass of mercury.

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(03.01) Consider the two groups listed below. Which statement describes the sets?
• house

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