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2 years ago

Which equation represents the graphed function?

Mathematics

2 answers:

dem82 [27]2 years ago

8 0

Answer:

$y=\frac{-1}{3} x+3$

Step-by-step explanation:

Let frame the equation of the line using the points given on the graph

(0,3) and (3,2)

Equation of the line is y=mx+b

where m is the slope and b is the y intercept

To find slope we use formula

$slope =\frac{y_2-y_1}{x_2-x_1} =\frac{2-3}{3-0} =\frac{-1}{3}$

Y intercept b is the point where the graph crosses y axis

y intercept b = 3

The equation y=mx+b becomes

$y=\frac{-1}{3} x+3$

Alika [10]2 years ago

5 0

Answer:

y = -1/3x +3

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

= (2-3)/(3-0)

-1/3

Then we know the y intercept( where it crosses the y axis)

It crosses at y=3

The slope intercept form is

y= mx+b where m is the slope and b is the y intercept

y = -1/3x +3

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A circular backyard pool has a diameter of 26 feet and is 4 feet deep. One cubic foot of water has a capacity of approximately 7

klasskru [66]

Find the water volume of the pool. The formula for a vertical cylinder is V = pi*r^2*h, which here is V = pi(13 ft)^2*(4 ft) = 676*pi cubic feet.

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Mult (676*pi cu ft) by the conversion factor (7.48 gal) / (1 cu ft):

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1 year ago

According to the law of large numbers, as more observations are added to the sample, the difference between the sample mean an

barxatty [35]

Where are the answers choices

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2 years ago

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A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally. A piece of climbing equipment at a

Dahasolnce [82]

Answer: The comparison is mentioned below.

Step-by-step explanation:

A piece of climbing equipment at a playground is 6 feet high and extends 4 feet horizontally.

Therefore its slope = length of the equipment vertically / length of equipment horizontally

$m_1$ = 6/4 = 3/2 = 1.5

And, A piece of climbing equipment at a gym is 10 feet high and extends 6 feet horizontally.

Therefore slope, $m_2$ = 10/6 = 5/3=1.67 (approx)

Since, $m_1$ < $m_2$

Thus the slope of equipment first is less than slope of second equipment.

5 0

1 year ago

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Mr. Walker asked his students to use the associative property to find an expression that is equivalent to (13 + 15 + 20) + (20 +

kaheart [24]

Answer:

The correct option is four.

Step-by-step explanation:

The associative property implies that the values are added however we want, i.e. the numbers can be grouped in any way and the answer would still be the same.

The associative property of addition is:

$(a+b)+c=a+(b+c)$

The expression provided is:

(13 + 15 + 20) + (20 + 47 + 18)

The answer provided by four students are:

Jeremy : (20 + 13 + 15) + (20 + 47 + 18)

Layla : (20 + 47 + 18) + (13 + 15 + 20)

Keith : (13 + 20) + (20 + 47 + 18) + 15

Melinda : (13 + 15 + 20 + 20) + (47 + 18)

So, all the four students correctly applied only the associative property to rewrite the expression.

The correct option is four.

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1 year ago

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8. In how many ways can a committee of four be selected from eight men and seven women if Miss Jones refuses to serve on the sam

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If the exclusion of Miss Jones and Mr Smith serving together was not present, the are 15C4 = 1365 ways of selecting the committee.
Miss Jones can serve on the committee in the following ways:
a) with 3 men
b) with 2 men and another woman
c) with 1 man and 2 other women
d) with 3 other women.
Arrangement d) obviously presents no restrictions.
Arrangement a) has 7C3 ways excluding Mr Smith, and 8C3 ways if Mr Smith was included.
Arrangement b) has 7C2 * 6 ways excluding Mr Smith, and 8C2 * 6 ways if Mr Smith was included.
Arrangement c) has 7 * 6C2 ways excluding Mr Smith, and 8 * 6C2 ways if Mr smith was included.
The reductions in ways caused by the restriction are as follows:
a) 8C3 - 7C3 = 21 ways
b) 6(8C2 - 7C2) = 42 ways
c) 6C2 = 15 ways
The total reduction in the number of ways is: 21 + 42 + 15 = 78.
Therefore the total number of ways of selecting the committee, while observing the restriction, is 1365 - 78 = 1287 ways.

4 0

2 years ago