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3 years ago

WILL GIVE A BRAINLEST Which piecewise relation defines a function?

Mathematics

2 answers:

HACTEHA [7]3 years ago

4 0

The 3rd Image defines a piecewise function because for it to be a function, every input must match to exactly one and only one output. In Images 1, 2, and 4, there are certain inputs that have two outputs or stated otherwise, have two y-values for the same x-value. Only the 3rd Image matches 1 x-value to every 1 y-value. So, that's your answer.

elena55 [62]3 years ago

3 0

Answer: C! The 3rd graph

Step-by-step explanation: Why does your equations have f(x)= and g(x)= ? Mine is only y= for every graph shown. All same numbers though.

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Find a linear equation to model this real-world application:

SSSSS [86.1K]

The linear equation to model the company's monthly expenses is y = 2.5x + 3650

Solution:

Let "x" be the units produced in a month

It costs ABC electronics company $2.50 per unit to produce a part used in a popular brand of desktop computers.

Cost per unit = $ 2.50

The company has monthly operating expenses of $350 for utilities and $3300 for salaries

We have to write the linear equation

The linear equation to model the company's monthly expenses in the form of:

y = mx + b

Cost per unit = $ 2.50

Monthly Expenses = $ 350 for utilities and $ 3300 for salaries

Let "y" be the total monthly expenses per month

Then,

Total expenses = Cost per unit(number of units) + Monthly Expenses

$y = 2.50(x) + 350 + 3300\\\\y = 2.5x + 3650$

Thus the linear equation to model the company's monthly expenses is y = 2.5x + 3650

3 0

2 years ago

Which statement is not true about the pattern shown? 2 4 8 16 3: 612' 24'

hram777 [196]

Answer:

Each fraction is greater than the previous fraction.

Explanation:

The bigger the denominator, the smaller the fraction.

8 0

3 years ago

Read 2 more answers

Five times a number subtracted from 18 is triple the number find the number

Bess [88]

The number is 18

hope this helps

4 0

3 years ago

You are to manufacture a rectangular box with 3 dimensions x, y and z, and volume v=8000. Find the dimensions which minimize the

Inga [223]

Answer:

20 by 20 by 20

Step-by-step explanation:

Let the total surface of the rectangular box be expressed as S = 2xy + 2yz + 2xz

x is the length of the box

y is the width and

z is the height of the box.

S = 2xy + 2yz + 2xz ... 1

Given the volume V = xyz = 8000 ... 2

From equation 2;

z = 8000/xy

Substituting into equation 1;

S = 2xy + 2y(8000/xy)+ 2x(8000/xy)

S = 2xy+16000/x+16000/y

Differentiating the resulting equation with respect to x and y will give;

dS/dx = 2y + (-16000x⁻²)

dS/dx = 2y - 16000/x²

Similarly,

dS/dy = 2x + (-160000y⁻²)

dS/dy = 2x - 16000/y²

Note that at the turning point, ds/dx = 0 and ds/dy = 0, hence;

2y - 16000/x² = 0 and 2x - 16000/y² = 0

2y = 16000/x² and 2x = 16000/y²

2y = 16000/(8000/y²)²

2y = 16000×y⁴/64,000,000

2y = y⁴/4000

y³ = 8000

y =³√8000

y = 20

Given 2x = 16000/y²

2x = 16000/20²

2x = 16000/400

2x = 40

x = 20

Since Volume of the box is V = xyz

8000 = 20(20)z

8000 = 400z

z = 8000/400

z = 20

Hence, the dimensions which minimize the surface area of this box is 20 by 20 by 20.

3 0

3 years ago

HELP .-. A painter bought 16 gallons of paint, just to cover two rooms. One room is twice the size of the other room and require

givi [52]

The total number of gallons of paint needed for the big room is 3x and the number of gallons of paint needed for the small room is 2y.
3x + 2y = 16
Given the sizes of the room, the relation should be that,
x = 2y
Solving the equation,
3(2y) + 2y = 16
y = 2
Therefore x is equal to 4 gallons.
With the condition that only the bigger room is painted, the number of gallons of paint used should be 12 gallons and what is left should be 4 gallons.

5 0

3 years ago