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Masja [62]
3 years ago
15

If you vertically compress the absolute value parent function, F(x) = |x|, by

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

The current function equation is  Y=1/3|x|

---------------------------

The meaning relative f(x) = is the absolute value and is weighted by a factor 3 vertically.

If a constant (say a) multiplies the function, the parent will be extended vertically.

We have below vertical extension and compression conditions.

A > 1 = > spread vertically

0 < < 1 = > compression vertically

Therefore we will subtract the entire feature by 1/3 for vertical compression by a factor of 3.

The equation for the current function is then Y=1/3|x|

---------------------------

<em>Hope this helps!</em>

<em />

<u>Brainliest would be great!</u>

<u />

---------------------------

<u><em>With all care,</em></u>

<u><em>07x12!</em></u>

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2. Mrs. Frederick is paid semimonthly.
Julli [10]

The annual salary of Mrs. Fredrick is $ 39397.2

<u>Solution:</u>

Given, Mrs. Frederick is paid semimonthly.  

Her semi-monthly salary is $1.641.55.  

Now, let us find her monthly salary first.

<em>monthly salary = 2 x semi – monthly salary </em>

So, monthly salary = 2 x 1,641.55 = $ 3283.1

Since there 12 months in a year, we obtain the annual salary as follows:

Now, the<em> annual salary = 12 x monthly salary </em>

Annual salary = 12 x 3283.1  = $ 39397.2

Hence, the annual salary of Mrs. Fredrick is $ 39397.2

5 0
2 years ago
In 1950 the number of retirees was approximately 150 per thousand people aged 20-64. In 1990 this number rose to approximately 2
serg [7]

Answer: 233 people per thousand

Step-by-step explanation:

Using extrapolation method,

if 150/k in 1950,

  200/k in 1990,

  275/k in 2020,

2003 lies in between 1990 and 2020. So, you extrapolate the values of 200/k and 275/k for the years respectively.

Therefore,  

(2003 - 1990)/(2020 - 2003) = (x - 200)/(275 - x)

Where x is the number of retirees per thousand for 2003

Making x the subject of relation in the above equation.

Cross multiply the equation above;

(2003 - 1990)(275-x) = (2020 - 2003)(x - 200)

13(275 - x) = 17(x-200)

3575 - 13x = 17x - 3400

Collect the like terms

3575+3400 = 17x + 13x

30x = 6975

x = 6975/30

x = 232.5

x = 233 people per thousand to the nearest integer

6 0
3 years ago
The ratio of the number of Sam's CDs to the number of Alice's CD's is 7 to 8. Sam has 84 CDS.
Alex

Answer:

180 CDs

Step-by-step explanation:

So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.

7 0
2 years ago
I need some help on my homework
irakobra [83]
What do you need help with I cant help if I don't know what problems to solve
6 0
3 years ago
Emilia ate lunch at a restaurant. The bill came to $51. If she left a 15% tip, how much was the tip?
Arturiano [62]

Answer:

7.65

Step-by-step explanation:

15% of 51 is 7.65

4 0
3 years ago
Read 2 more answers
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