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anyanavicka [17]
3 years ago
14

Gina represents three linear functions in three different forms as shown which list shows gina's three functions in order from l

east to greatest rate of change?
function f x= -2, 1 y= -5, -1
function g is y=-x+9
function h is the coordinate plain on the graph.
Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
5 0
The graph is not shown, so I cannot include that in the answer.  As for the other two, while -1 is technically a smaller number than 2/3, in terms of rate of change, it makes a steeper line, so it is a larger rate of change.  In order from least to greatest (except the graph) we have

f, g

The slope of f is given by
m=(y₂-y₁)/(x₂-x₁) = (-1-1)/(-5--2) = -2/-3 = 2/3

g is in slope-intercept form, or f(x) = mx+b; the slope is m. In g, this is -1.
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A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions
salantis [7]

Dimensions are length 20 meter and width 14 meter

<em><u>Solution:</u></em>

Let "a" be the length of rectangle

Let "b" be the width of rectangle

Given that,

<em><u>A rectangle has width that is 6 meters less than the length</u></em>

Width = length - 6

b = a - 6

The area of the rectangle is 280 square meters

<em><u>The area of the rectangle is given by formula:</u></em>

Area = length \times width

<em><u>Substituting the values we get,</u></em>

Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0

<em><u>Solve the above equation by quadratic formula</u></em>

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}

a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14

Since, length cannot be negative, ignore a = -14

<em><u>Thus solution of length is a = 20</u></em>

Therefore,

width = length - 6

width = 20 - 6 = 14

Thus dimensions are length 20 meter and width 14 meter

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lozanna [386]
A. 0, 7 is your answer

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