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xz_007 [3.2K]
3 years ago
8

Find the inequality represented by the graph.

Mathematics
1 answer:
iris [78.8K]3 years ago
7 0

Answer:

<h2>x \geqslant  \frac{y + 4}{3}</h2>

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

- 1 = m- 4 \\  - m =  - 4 + 1 \\  - m =  - 3 \\ m =3 \\

y = 3x - 4 \\ or \: y + 4 = 3x \\ or \:  \frac{y + 4}{3}  = x

Inequality representated by graph:

x \geqslant  \frac{y + 4}{3}

Hope this helps...

Good luck on your assignment...

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Which equation matches the given points? (0, 7.6), (1, 6.2), (2, 4.8), (3, 3.4), (4,2)
Cerrena [4.2K]

The equation that matches the given points is g(x) = -1.4x + 7.6

The standard form of a linear  equation is expressed as g(x)=mx + b

  • m is the slope of the line
  • b is the y-intercept:

Using the coordinate points (3, 3.4), (4,2)

m=\frac{2-3.4}{4-3}\\m=\frac{-1.4}{1}\\m=-1.4

Substitute m = -1.4 and the coordinate (4, 2) into the formula:

2=4(-1.4)+b\\2=-5.6+b\\b=2+5.6\\b=7.6

Get the required equation:

g(x)=mx+b\\g(x)=-1.4x+7.6

Hence the equation that matches the given points is g(x) = -1.4x + 7.6

Learn more on equation of a line here; brainly.com/question/9351428

4 0
3 years ago
Cameron bakes two pans of brownies for the school bake sale. She couldn't wait and ate 1/6 of a pan. How many pans of brownies d
torisob [31]

Answer:

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Step-by-step explanation:

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When using pi, do you use 3.14 or 3.141592653?
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Answer:

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Step-by-step explanation:

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You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
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2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
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You get the same answer: x=-2, y=-9

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