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3 years ago

Prove continuity on this problem (2x+3)/(x-2) on the interval (2,infinity)

Mathematics

1 answer:

Yuri [45]3 years ago

8 0

f(x) = (2x+3)/(x-2)

so f(3) = 9

the limit of f(x) as x approaches 3 is 9

f(3) = lim x->3 f(x)

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PLEASE HELP!!!! DUE TODAY

Tems11 [23]

Answer:

Step-by-step explanation:

$ 86,000 lies in the category $84201 - $ 160725

Tax = 14,382.50+ 24% of the amount over $84,200

Amount over $84,200= 86,000 - 84,200 = $1,800

Tax for the amount $ 1,800 =24% * 1800 = 0.24 * 1800

= $ 432

Tax for the amount $86,000 = 14382.50 + 432

=$ 14814.50

3 0

3 years ago

What is the height of the triangle 35 and 819

kakasveta [241]

I don’t know what answers you have but I think it’s 23.4

4 0

3 years ago

A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters

jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000 (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ4

7 0

2 years ago

You wish to buy an eraser that costs $0.50, a pencil that costs $1.00, and a notebook that costs $1.75. The sales tax is 6%. Wha

icang [17]

3.45 is the right answer

4 0

3 years ago

Please explain thanks

Gre4nikov [31]

<h3>Answer:</h3>

$\large\boxed{\pink{\sf \leadsto Value \ of \ LM \ is \ 11 \ units . }}$

<h3>Step-by-step explanation:</h3>

A figure is given to us in which we can see two triangles one is ∆ MPL and other is ∆MPN .

Figure :- 

$\setlength{\unitlength}{1 cm}\begin{picture}(12,12)\linethickness{0.25mm}\put(0,0){\line(1,2){2}} \put(0.001,0){\line(1,0){4}}\put(2,0){\vector(0,1){5}}\put(4,0){\line( - 1,2){2}}\put(0,-0.4){$\bf L $}\put(2,-0.4){$\bf P$}\put(4,-0.4){$\bf N $}\put(2.2,4){$\bf M $}\put(2.8, - .4){$\bf 5 $}\put(1, - .4){$\bf 5 $}\put(3.4, 2){$\bf 11 $}\put(2.3,0){\line(0,1){.3}}\put(2.3,.3){\line( - 1,0){.3}}\end{picture}$

$\underline{\blue{\sf In\: \triangle MPL \ \& \ \triangle MPN :- }}$

$\qquad \bullet LP = PN = 5 \:\:(given) \\\\\qquad \bullet MP = MP \:\:(Common) \\\\\qquad \bullet \angle MPN = \angle MPL = 90^{\circ} \:\: (given)$

Hence by SAS congruence condition ,

$\orange{\bf \triangle MPL \cong \triangle MPN }$

Hence by cpct ( Corresponding parts of congruent triangles ) we can say that , LM = NM = 11 units .

<h3>Hence the value of LM is 11 units .</h3>

4 0

2 years ago