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lys-0071 [83]
3 years ago
13

What effect does "a" have on the parent function y=1/x

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0
Y=1/x is a reciprocal function & its shape is a special hyperbola with one branch located in the 1st Quadrant and the second in the 3dr Quadrant and both are symmetric about the origin O.
If a> 1 → y=a/x  and the 2 branches are equally stretched upward & downward
about the center O.
If  0 < a < 1→y =a/x, the 2 branches are equally stretched downward and upward about the center O.
If a<0, then the 2 legs are in the 2nd and 4th Quadrant respectively

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5.
SSSSS [86.1K]
10 hours, 10 minutes
6 0
3 years ago
Mary has two bags of sweets, each of which contains the same number of sweets. She eats four sweets. She then finds that she has
Vlad1618 [11]

Given that Mary has 2 bags of sweets. each of which contains same number of sweets.

Let us assume each bag contains x  number of sweets.

After eating 4 sweets, total number of sweets left in two bags = x+x-4=2x-4

But given 2x-4 = 30

                2x-4+4 = 30+4

                 2x=34

                x=\frac{34}{2} = 17

Hence there are 17 sweets in each bag at starting.

7 0
3 years ago
an office manager purchased 39 boxes of pens for the staff. each box contains 6 black pens and 4 blacks pens. Use the distribute
nignag [31]

Answer:

390 pens in total

Step-by-step explanation:

Each box has 6 black and 4 black

so the total amount of pens per box should be 10 because 6+4=10

Since we have to use distributive property you can write the equation (6+4)*39 because you need to figure out the total amount of pens in all the boxes.

6+4 is 10

and 10 * 39 is 390

therefore the answer is 390 pens in total

8 0
2 years ago
Find the sum<br> -1,457+890+(-345)=
QveST [7]

Answer:

-912

Step-by-step explanation:

  1. Simplify: -1,457 + 890 - 345
  2. -1,457 + 890 = -567
  3. Plug -567 in: -567 - 345
  4. -567 - 345 = -912

I hope this helps!

5 0
3 years ago
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 51.1 d
Inga [223]

Answer:

Mean = 53.25

Step-by-step explanation:

Given

Low Temperature : 40−44 || 45−49 ||  50−54 || 55−59 || 60−64

Frequency: --------------- 3 -----------6----------- 1-----------3--- -----7

Required

Determine the mean

The first step is to determine the midpoints of the given temperatures

40 - 44:

Midpoint = \frac{40+44}{2}

Midpoint = \frac{84}{2}

Midpoint = 42

45 - 49

Midpoint = \frac{45+49}{2}

Midpoint = \frac{94}{2}

Midpoint = 47

50 - 54:

Midpoint = \frac{50+54}{2}

Midpoint = \frac{104}{2}

Midpoint = 52

55- 59

Midpoint = \frac{55+59}{2}

Midpoint = \frac{114}{2}

Midpoint = 57

60 - 64:

Midpoint = \frac{60+64}{2}

Midpoint = \frac{124}{2}

Midpoint = 62

So, the new frequency table is as thus:

Low Temperature : 42 || 47 ||  52 || 57 || 62

Frequency: ----------- 3 --||- -6-||- 1-||- --3- ||--7

Next, is to calculate mean by

Mean = \frac{\sum fx}{\sum x}

Mean = \frac{42 * 3 + 47 * 6 + 52 * 1 + 57 * 3 + 62 * 7}{3+6+1+3+7}

Mean = \frac{1065}{20}

Mean = 53.25

<em>The computed mean is greater than the actual mean </em>

6 0
3 years ago
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