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3 years ago

Carey correctly graphs a linear function. The slope of the function is –1. The y-intercept is 3. Which is Carey’s graph?

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

8 0

The first graph.

It's right on edge

horrorfan [7]3 years ago

6 0

Answer:

The linear function is $y=-x+3$ . The graph of function is given below.

Step-by-step explanation:

The slope intercept form of a linear function is

$y=mx+b$

Where, m is slope and b is y-intercept.

Since the slope is -1 and the y-intercept is 3, therefore the linear function is,

$y=-x+3$

put y=0, to find x-intercept.

$0=-x+3$

$x=3$

Therefore the line intersect the y-axis at y=3, x-intercept is x=3 and the as the value of x increases the value of y decreases.

The graph of the linear function $y=-x+3$ is given below.

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Aleks04 [339]

Answer:

120

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No. of plastic cups = 24

No. of straws =20

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Prime factorisation of 20 = 2×5×2

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What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?

alekssr [168]

First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
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$d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3$
$d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4$
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units

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(
−
7
25
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−
24
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(
3
5
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4
5
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(
-
7
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-
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4
5
x
=
3
5
,
y
=
4
5
x
=
−
7
25
,
y
=
−
24
25

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