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Aleksandr-060686 [28]
2 years ago
9

Laurel is a huge fan of hats, she likes all kinds of hats and recently started collecting them. She already owns 3 hats. She pla

ns on buying a hat according to the season every month. Based on this information answer the following Questions.
What is the linear function?
Mathematics
1 answer:
horsena [70]2 years ago
7 0

Answer:

y=3+x

Step-by-step explanation:

If you are ever unsure about how to proceed with a math problem, one thing I find very helpful is to imagine the scenario and sub in the numbers. That's always helped me

At the very beginning, when

x=0, Laurel hasn't bought any new hats yet, she owns 3 hats, so y=3.

After the first month, when x=1, laurel owns 3 hats, plus the 1 hat she just bought. She now owns y=3+1  hats.

After the second month, when

x=2, laurel owns 3 hats, plus the 2

new hats she bought after she started collecting hats. She now owns y=3+2

hats.

Now, we can write the function.

y=3+x

You might be interested in
A study analyzed the average yearly salt intake in the United States from 2012 thru 2017. The data is summarized in the table: Y
Nuetrik [128]

Answer:

Is an estimate of the average grams of salt used in 2012

Step-by-step explanation:

Let

x ---> the number of years since 2012

f(x) ---> is the total amount of salt ingested in grams

we have

f(x)=52.3x+3.548

This is a linear equation in slope intercept form

where

The slope is equal to

m=52.3\ grams/ year

The y-intercept or initial value is equal to

b=3,548\ grams

The y-intercept is the value of the function f(x) when the value of x is equal to zero

In this context, the y-intercept is the average amount of grams of salt ingested  in the year 2012

The exact value of the average amount of grams of salt ingested  in the year 2012 is 3,554 grams (see the data in the table)

Compare the exact value with the y-intercept

3,554\ g\neq 3,548\ g

therefore

3,548 grams Is an estimate of the average grams of salt used in 2012

7 0
2 years ago
Kelly wants to know the actual value of a house that she wants to buy. What should she do?
Ghella [55]
Kelly should ask the realtor.
5 0
1 year ago
Read 2 more answers
se the function to show that fx(0, 0) and fy(0, 0) both exist, but that f is not differentiable at (0, 0). f(x, y) = 9x2y x4 + y
alexandr1967 [171]

Answer:

It is proved that f_x, f_y exixts at (0,0) but not differentiable there.

Step-by-step explanation:

Given function is,

f(x,y)=\frac{9x^2y}{x^4+y^2}; (x,y)\neq (0,0)

  • To show exixtance of f_x(0,0), f_y(0,0) we take,

f_x(0,0)=\lim_{h\to 0}\frac{f(h+0,k+0)-f(0,0)}{h}=\lim_{h\to 0}\frac{\frac{9h^2k}{h^4+k^2}-0}{h}\\\therefore f_x(0,0)=\lim_{h\to 0}\frac{9hk}{h^4+k^2}=\lim_{h\to 0}\frac{9k}{h^3+\frac{k^2}{h}}=0    exists.

And,

f_y(0,0)=\lim_{k\to 0}\frac{f(h,k)-f(0,0)}{k}=\lim_{k\to 0}\frac{9h^2k}{k(h^4+k^2)}=\lim_{k\to 0}\frac{9h^2}{h^4+k^2}=\frac{9}{h^2}   exists.

  • To show f(x,y) is not differentiable at the origin cheaking continuity at origin be such that,

\lim_{(x,y)\to (0,0)}\frac{9x^2y}{x^4+y^2}=\lim_{x\to 0\\ y=mx^2}\frac{9x^2y}{x^4+y^2}=\frac{9x^2\times m x^2}{x^4+m^2x^4}=\frac{9m}{1+m^2}  where m is a variable.

which depends on various values of m, therefore limit does not exists. So f(x,y) is not continuous at (0,0). Hence it is not differentiable at (0,0).

4 0
2 years ago
The sum of the interior angles of a convex polygon is the same as the sum of its exterior angles. What type of polygon is it?
RideAnS [48]
A parallelogram.

All the angles in a parallelogram must add up to 360° as well as the exterior angles.

Hope that helps!

:D®
7 0
1 year ago
Sarah planted two1 acre gardens one had three sections of flowers and the other had 4 sections of flowers she plans to divide bo
EastWind [94]
Each garden will have 12 sections of flowers
8 0
2 years ago
Read 2 more answers
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