In which number is the value of the 3 one tenth the value of the 3 in 712.83?a.28.13 b.157.038c.63.81 d.80.345

In which number is the value of the 3 one tenth the value of the 3 in 712.83? a.28.13
b.157.038
c.63.81
d.80.345

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  1. Answer:

    the image is given below

    step-by-step explanation:

    since the options are not given so we draw it from the equation

    the given equation is

    y = (x-1) (x+4)

    y = y² + 3x - 4

    the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this

  2. the speed is   [tex]135[/tex]miles per hour > is false

    step-by-step explanation:

    we know that  

    a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

    in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

    the graph shown in the figure represent a direct variation

    the slope of the line represent the speed

    [tex]y/x=k[/tex]

    for the point [tex](1.5,90)[/tex]

    substitute the values of x and y

    [tex]k=90/1.5=60\ miles/hour[/tex]

    the linear equation is equal to

    [tex]y=60x[/tex]

    statements

    case a) it takes [tex]2[/tex] hours to go [tex]120[/tex]miles

    the statement is true

    because

    substitute

    for [tex]x=2[/tex]

    find the value of y in the linear equation

    [tex]y=60(2)=120\ miles[/tex] > is correct

    case b) the speed is   [tex]135[/tex]miles per hour

    the statement is false

    because the speed is [tex]60\ miles/hour[/tex]

    case c) the unit rate for the trip is [tex]60\ miles/hour[/tex]

    the statement is true

    because the speed is equal to the slope of the linear equation

    case d) it took [tex]20[/tex] minutes to go the first [tex]20[/tex]miles

    the statement is true

    because

    substitute

    for [tex]x=20\ minutes=(1/3)\ hour[/tex]

    find the value of y in the linear equation

    [tex]y=60(1/3)=20\ miles[/tex] > is correct

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