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Marta_Voda [28]
3 years ago
7

Write three (3) scenarios that describe three different real-world functions. Each scenario should use two of the variables from

the list above, combined with the phrase depends on.
For each scenario, identify the independent and dependent variables in the function, and assign the letters x and y to represent each variable quantity. Then create a set of at least five ordered pairs in (x, y) form with values that make sense for the function.
Mathematics
1 answer:
NISA [10]3 years ago
8 0
Here is one <span>Jake’s salary depends on the number of hours he works.
The independent variable is the number of hours and the dependent variable is salary.
Let x = the number of hours worked
Let y = Jake's salary
The set of ordered pairs {(1, 10), (2, 20), (3, 30), (4, 40), (5, 50)} can be used to represent
the function, assuming Jake earns $10 per hour. </span>
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For their CD collections, Alan, Tom, and Barbara have a total of 52 CD’s. If Barbara had 6 more, then she would have as many a
Anestetic [448]
<span>its C. Alan has 13 CDs, Tom has 16 CDs, Barbara has 23 CDs !</span>
8 0
3 years ago
Find the slope of the line passing through the points(3,-9) and(2,-2) .
tino4ka555 [31]

Answer:

-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-9))/(2-3)

m=(-2+9)/-1

m=7/-1

m=-7

5 0
3 years ago
PLEASE HELP FAST!!!!!!
raketka [301]
The answer is 120 degrees
3 0
3 years ago
Find the area of the regular polygon​
Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

p = s * n

p = 12 * 6

p = 72

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

a = \frac{s}{2 * tan (\frac{180}{n} )}

a = \frac{12}{2 * tan (\frac{180}{6} )}

a = \frac{12}{2 * \frac{\sqrt{3} }{3}}

a = \frac{12}{\frac{2\sqrt{3} }{3}}

a = \frac{12*3}{2\sqrt{3}}

a = \frac{6*3}{\sqrt{3}}

a = \frac{18}{\sqrt{3}}

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

A = \frac{a * p}{2}

A = \frac{\frac{18}{\sqrt{3} }  * 72}{2}

A = \frac{18}{\sqrt{3}}  * 36

A = \frac{640}{\sqrt{3}}

Turning into a decimal:

A = 374.123 ft ^2

8 0
3 years ago
Which of the following reveals the minimum value for the equation 2x^2 − 4x − 2 = 0?
12345 [234]

Answer:

2(x-1)^{2}=4

Step-by-step explanation:

<u><em>The options of the question are</em></u>

2(x − 1)2 = 4

2(x − 1)2 = −4

2(x − 2)2 = 4

2(x − 2)2 = −4

we have

2x^{2} -4x-2=0

This is a vertical parabola open upward

The vertex represent the minimum value

The quadratic equation in vertex form is

y=a(x-h)^2+k

where

a is a coefficient

(h,k) is the vertex

so

Convert the quadratic equation in vertex form

Factor 2 leading coefficient

2(x^{2} -2x)-2=0

Complete the squares

2(x^{2} -2x+1)-2-2=0

2(x^{2} -2x+1)-4=0

Rewrite as perfect squares

2(x-1)^{2}-4=0

The vertex is the point (1,-4)

Move the constant to the right side

2(x-1)^{2}=4

3 0
3 years ago
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