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s344n2d4d5 [400]
3 years ago
14

What are perfect numbers? Find the only 3examples below 500

Mathematics
1 answer:
liubo4ka [24]3 years ago
4 0

The first two are 6 and 28. The factors of 6 add up to the same thing as 6.

Six

1 * 2 * 3 = 6

1 + 2 + 3 = 6

Twenty eight

1 + 2 +  4 + 7 + 14 = 28 (the multiplication is not the same as for 6).

Four hundred ninety Six

This one is kind of hard to believe

It is 16 * 31

1 + 2 + 4 + 8 + 16 + 248 + 124 + 62 + 31 = 496

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13
zepelin [54]

Answer:

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

Step-by-step explanation:

We need to find equation from the table given

x     f(x)

3     -5

7     -2

11     1

15    4

We can write equation in the form of y=mx+b

where m is slope and b is y-intercept.

Finding Slope

We can used the slope formula to find slope: Slope=\frac{y_2-y_1}{x_2-x_1}

From the table we have: x_1=3, y_1=-5, x_2=7, y_2=-2

Putting values and finding slope

Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}

So, we get slope m=\frac{3}{4}

Now, finding y-intercept

Using the slope m=\frac{3}{4} and point (3,-5) we can find y-intercept

y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}

The y-intercept is b=\frac{-29}{4}

So, the equation having slope m=\frac{3}{4} and y-intercept b=\frac{-29}{4} will be:

y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}

The required equation is: \mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}

6 0
3 years ago
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (6,-8) midpoint: (-1,7)
zaharov [31]
Hope this helps. Look at attachment

6 0
4 years ago
Read 2 more answers
At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 1
chubhunter [2.5K]

So let's see here...


6:00 A.M. temperature is 33°F.

12:00 P.M temperature increased by 10°F making it 43°F.

3:00 P.M. temperature increased by another 12°F making it 55°F.

At 10:00 P.M it would decrease by 15°F making it 40°F.

The temperature would need to fall (or decrease) by 7°F to reach the original temperature of 33°F

Hope this helped!


3 0
3 years ago
A copy machine makes 24 copies per minute. how many copies does it make in 5 minutes and 30 seconds
enot [183]
In 1 minute the copy machine copies = 24
That means
In 60 seconds the copy machine copies = 24
First we need to convert 5 minutes and 30 seconds to seconds
Then
5 minutes and 30 seconds = (5 * 60) + 30
                                           = 300 + 30
                                           = 330 seconds
So
In 330 seconds the copy machine will copy = (24/60) * 330
                                                                     = 4 * 33
                                                                     = 132
So in 5 minutes and 30 seconds the copy machine will copy 132 copies.
6 0
3 years ago
Read 2 more answers
What is the answer to 35=-7=[z+8]
Ronch [10]
I believe you mean to put "()" not "[]"
I got <span>z = -8 as my answer
</span><span />


8 0
3 years ago
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