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2 years ago

Answer now get ur moneyy

Mathematics

2 answers:

Effectus [21]2 years ago

3 0

You would combine like term then you want to subtract and u will get the same answer as (24x + 14)°

andreyandreev [35.5K]2 years ago

3 0

(44x+24) is the answer

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One side of a rectangle is 3 inches shorter than the other side, and the perimeter is 54 inches. What are the dimensions of the

vitfil [10]

Answer:

2x + 2(x - 3)

Step-by-step explanation:

4 0

2 years ago

Can you define f(0, 0) = c for some c that extends f(x, y) to be continuous at (0, 0)? If so, for what value of c? If not, expla

Ahat [919]

(i) Yes. Simplify $f(x,y)$ .

$\displaystyle \frac{x^2 - x^2y^2 + y^2}{x^2 + y^2} = 1 - \frac{x^2y^2}{x^2 + y^2}$

Now compute the limit by converting to polar coordinates.

$\displaystyle \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} = \lim_{r\to0} \frac{r^4 \cos^2(\theta) \sin^2(\theta)}{r^2} = 0$

This tells us

$\displaystyle \lim_{(x,y)\to(0,0)} f(x,y) = 1$

so we can define $f(0,0)=1$ to make the function continuous at the origin.

Alternatively, we have

$\dfrac{x^2y^2}{x^2+y^2} \le \dfrac{x^4 + 2x^2y^2 + y^4}{x^2 + y^2} = \dfrac{(x^2+y^2)^2}{x^2+y^2} = x^2 + y^2$

and

$\dfrac{x^2y^2}{x^2+y^2} \ge 0 \ge -x^2 - y^2$

Now,

$\displaystyle \lim_{(x,y)\to(0,0)} -(x^2+y^2) = 0$

$\displaystyle \lim_{(x,y)\to(0,0)} (x^2+y^2) = 0$

so by the squeeze theorem,

$\displaystyle 0 \le \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} \le 0 \implies \lim_{(x,y)\to(0,0)} \frac{x^2y^2}{x^2+y^2} = 0$

and $f(x,y)$ approaches 1 as we approach the origin.

(ii) No. Expand the fraction.

$\displaystyle \frac{x^2 + y^3}{xy} = \frac xy + \frac{y^2}x$

$f(0,y)$ and $f(x,0)$ are undefined, so there is no way to make $f(x,y)$ continuous at (0, 0).

(iii) No. Similarly,

$\dfrac{x^2 + y}y = \dfrac{x^2}y + 1$

is undefined when $y=0$ .

5 0

1 year ago

Form the algebraic expressions for the following with explanation.

nevsk [136]

answer:

<h2><u><em>7w− 2/v</em></u></h2><h2>Step-by-step explanation:</h2>

8 0

2 years ago

Mrs. Hernanadez is covering the top of a kitchen shelf that is26 3/8 inches long and 15 1/2 inches wide. She incorrectly measure

miss Akunina [59]

Answer:

The calculation of Mrs. Hernanadez will affect by 1.375 inches lesser.

Step-by-step explanation:

Given:

Length of the Kitchen shelf = 26 3/8 inches

Width of the Kitchen Shelf = 15 1/2 inches

Incorrect measurement of the length of the kitchen shelf = 25 inches

Solution:

The Actual length of the kitchen shelf is $26\frac{3}{8}$

But she measured as 25 inches

So the error in the measurement will be

=>Correct length of the shelf - Incorrect length of the shelf

=> $26\frac{3}{8}$ - 25

Coverting the mixed fraction to fraction,

=> $\frac{211}{8}$ - 25

=> $26.375$ - 25

=>1.375

5 0

2 years ago

The perimeter of the cover of a math textbook is 34 inches. If the width of the cover is 7 inches, what is the length of the cov

Ierofanga [76]

A= lxw = 34 Times 7 meaning the answer is 238

6 0

2 years ago

Read 2 more answers