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Rasek [7]
3 years ago
11

Bill earns $12 per hour and works at most 40 hours per week. Identify the independent and dependent quantity in the situation, a

nd find reasonable domain and range values.
please help me
Mathematics
1 answer:
mixer [17]3 years ago
3 0
The situation can be modeled as a linear equation:
 y = 12x
 Where
 y: amount of dollars.
 x: hours worked.
 Independent variable: x (hours worked).
 Dependent variable: y (amount of dollars).
 he works at most 40 hours per week
 Domain: x belongs [0, 40]
 To determine the range, we must calculate how much Bill earns per week
 y = 12 * (40) = 480.
 Range: y belongs [0, 480]
 answer
 Independent variable: x (hours worked).
 Dependent variable: y (amount of dollars.
 Domain: x belongs [0, 40]
 Range: y belongs [0, 480]
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Natasha2012 [34]

Answer:

x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}  are zeroes of given quadratic equation.

Step-by-step explanation:

We have been a quadratic equation:

2x^2-10x-3

We need to find the zeroes of quadratic equation

We have a formula to find zeroes of a quadratic equation:

x=\frac{b^2\pm\sqrt{D}}{2a}\text{where}D=\sqrt{b^2-4ac}

General form of quadratic equation is ax^2+bx+c

On comparing general equation with b given equation we get

a=2,b=-10,c=-3

On substituting the values in formula we get

D=\sqrt{(-10)^2-4(2)(-3)}

\Rightarrow D=\sqrt{100+24}=\sqrt{124}

Now substituting D in  x=\frac{b^2\pm\sqrt{D}}{2a} we get

x=\frac{(-10)^2\pm\sqrt{124}}{2\cdot 2}

x=\frac{100\pm\sqrt{124}}{4}

x=\frac{100\pm2\sqrt{31}}{4}

x=\frac{50\pm\sqrt{31}}{2}

Therefore, x=\frac{50+\sqrt{31}}{2},\frac{50-\sqrt{31}}{2}



5 0
3 years ago
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I need help with this does anyone understand this?
soldier1979 [14.2K]

Answer:

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=  > y =  \frac{19}{ {x}^{3} }

=  >  {x}^{3}  =  \frac{19}{y}

=  > x =   \sqrt[ 3]{ \frac{19}{y} }

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<h2>option A</h2>
4 0
3 years ago
HELPme
aalyn [17]

Answer:

1. Rectangle

2. 376.8 cm

3. 379.94 square feet

4. –4 and 4

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A square is always a rectangle.

If a wheel has a radius of 15 cm, it would travel approximately 376.8 cm per 4 revolutions.

If the diameter of a circular garden is 22 feet, the approximate area of the garden is 379.94 square feet.

The solutions to the equation y2 – 1 = 15 is –4 and 4.

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3 years ago
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Flauer [41]

Answer:

(a) 36

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Step-by-step explanation:

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slope of tangent at (2, 41) = 18(2)

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(b) using y-y1 = m(x-x1)

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Answer:

Step-by-step explanation:

A

According to the exercise we can say that the explanatory variable will be hours / weeks of study.

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We definitely found that between the variables there is a weak or fragile relationship, neither negative nor positive nor linear.

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2.No. This study is observational and its characteristics are not sufficient to conclude that studying more hours leads to obtaining a higher GPA.

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