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Elodia [21]
3 years ago
14

Creating a Function from a Mapping The mapping shows a relationship between input and output values. Which ordered pair could be

removed to make this relation a function? Input Output O (-5, 0) O (-1, -3) -5 O (4, -2) 2 -3 O (6,-1) -1 -2 ī ņ ņ na v v • 4 2 6​
Mathematics
1 answer:
Afina-wow [57]3 years ago
6 0

I'm not sure what some of the ordered pairs are in what you wrote, but a function is when each input has one output. So, for every x there is one y. The x values can not repeat. So, remove one of two ordered pairs where the x value is repeating.

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Juliette [100K]

Answer:

1. Use a compass to make arc marks which intersect above and below then connect.

2. y=\frac{1}{3}x + 2

Step-by-step explanation:

1. To construct a perpendicular line, use a compass to draw arc marks from one end of the segment through point P. Then repeat this again at the other end. This means at point P there will be two intersecting arc marks. Repeat the process down below with the same radius as used above. Then connect the two intersections.

2. The point slope form of a line is (y-y_1)=m(x-x_1) where x_1=-3\\y_1=1. We write  

(y-1)=m(x--3)\\(y-1)=m(x+3)  

Since the line is to be perpendicular to the line shown it will have the negative reciprocal to the slope of the function 3x+y =-8. To find m, rearrange the function to be y=-8-3x. The slope is -3 and the negative reciprocal will be 1/3.

(y-1)=\frac{1}{3}(x+3)  

Simplify for slope intercept form.

(y-1)=\frac{1}{3}(x+3)\\(y-1)=\frac{1}{3}x+1\\y=\frac{1}{3}x + 2


3 0
3 years ago
A park has a large circle painted in the middle of the playground area. The circle is divided into 4 equal sections, and each se
oee [108]
First you need to find the area of the whole circle.\pi  r^{2}
The radius is given as 10, so just insert 10 into the equation of the area of a circle equation. 
Area =  \pi  10^{2}    Area =  100 \pi
Putting \pi after the 100 because that is what is commonly done. 

Because the circle is then being split into 4 equal sections, we need to find 1/4 of the area of the whole circle to find the area of one of these sections. 

Since the area of the whole circle is 100 \pi then we just divide that by 4, 
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3 0
3 years ago
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4 0
3 years ago
The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour
vitfil [10]

Z value is a numerical  measurement that describe a value relationship to the mean of a group of values. The standard deviations is 1.25 above the mean is 14,500 hours.

<h3>Given information-</h3>

The mean for the bulb is 12,000 hours.

The standard deviation for the bulb is 2000 hours.

Sample value is 14500.

To find out the how many standard deviation is 14500 mean away from the mean the z value of the mean should be calculated.

<h3>Z value</h3>

Z value is a numerical  measurement that describe a value relationship to the mean of a group of values. Z value is the ratio of the difference of the sample value x and mean \mu to the standard deviation. Thus the z value for the given mean \sigma is,

z=\dfrac{x-\mu}{\sigma}

z=\dfrac{14500-1200}{2000}

z=1.25

Thus the standard deviations is 1.25 above the mean is 14,500 hours.

Learn more about the z value here;

brainly.com/question/62233

4 0
3 years ago
Which measurement is closest to the volume of the cone in cubic inches? 6in 16 in
Nookie1986 [14]

Answer:

it problely 16 is close

Step-by-step explanation:

it dipens where the numeber is place at

4 0
3 years ago
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