What is the domain of the relation shown below ( 4,2),(1,1),(0,0),(1,-1),(4,-2)

1 answer:

7 0

Look at the first element of each point:

{4, 1, 0, 1} (do not write 4 twice, even tho' 4 shows up twice).

This is NOT a function, altho' it still is a relationship. Why? Because 4 shows up as an input twice. In the case of a function, no input shows up more than once.

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Use the following flowchart to determine if the family qualifies for bankruptcy. Their yearly income is 58,000- the median annua

Hatshy [7]

Answer:

Do not qualify

Step-by-step explanation:

Yearly income = $58000

Monthly income = $\frac{58000}{12}$ = $4833.33

Median annual income = $47778

Monthly expenses = $4600

Income < Median Income ? 58000 < 47778 -> No

x = (Monthly income - expenses) * 60

= (4833.33 - 4600) * 60

= 233.33 * 60

= 13999.8

x < 10000 ? 13999.8 < 10000 -> No

So, Do not qualify

5 0

3 years ago

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A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t

Zielflug [23.3K]

Answer:

Step-by-step explanation:

In this system we have the force of the spring and the gravitational force. The equation that describes that is

$F_{s}+F{g}=ma\\k(y_0+y)-mg=ma$

where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have

$ky_0+ky-mg=ma\\mg+ky-mg=ky=ma\\\\ky=m\frac{d^2y}{dt^2}\\\\my''+ky=0$