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3 years ago

The rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2

Mathematics

1 answer:

loris [4]3 years ago

6 0

Answer:

$\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}$

Step-by-step explanation:

Given rational expression is,

$\frac{2x^2+5x-14}{x-2}$

x - 2) 2x² + 5x - 14(2x + 9

2x² - 4x

9x - 14

9x - 18

Therefore, $\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}$ is the answer.

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The math club is fast becoming one of the most popular clubs on campus because of the fabulous activities it sponsors annually f

Sergeu [11.5K]

Answer:

The many members should the club expect to have 5 years from now is 167.

Step-by-step explanation:

The number of members in the club at present is, 45.

It is provided that each year the club's enrollment increases by 30%.

Compute the increasing rate as follows:

$Rate=1+0.3=1.3$

Then the number of members in the club after n years is given by the equation:

$Number\ of\ members\ after\ n\ years=45\times (1.3)^{n}$

Compute the number of members in the club after 5 years as follows: $Number\ of\ members\ after\ 5\ years=45\times (1.3)^{5}\\=45\times (1.3)^{5}\\=45\times 3.71293\\=167.08185\\\approx167$

Thus, the many members should the club expect to have 5 years from now is 167.

3 0

3 years ago

Which ordered pair is a solution to the system of inequalities? y <3 and y >-x+5 ?

Aleksandr-060686 [28]

It should be A 6,1 because 6 is the x-axis and 1 is the y-axis

7 0

3 years ago

Help answer this question asap!!!!!!!!1

kkurt [141]

Answer:

169.50

Step-by-step explanation:

7 0

3 years ago

What is the surface area of a box with a height and width of 5 inches and a length of 8 inches ?

vodomira [7]

Answer:

210 sq in

Step-by-step explanation:

Box dimensions: 5 x 5 x 8

2 faces: 5 x 5 -> 2 * 5 * 5 = 50

4 faces: 5 x 8 -> 4 * 5 * 8 = 160

Total = 50 + 160 = 210 sq in

5 0

3 years ago

If m ≤ f(x) ≤ M for a ≤ x ≤ b, where m is the absolute minimum and M is the absolute maximum of f on the interval [a, b], then

agasfer [191]

Answer:

smaller value is 1.2

larger value is 6

Step-by-step explanation:

$f(x)=\frac{3}{1+x^{2} }$

when x=a=0, one has

$f(0)=\frac{3}{1+0^{2} } \\f(0)=3$

now, when x=b=2, one has

$f(2)=\frac{3}{1+2^{2} } \\f(2)=\frac{3}{5}$

Therefore, the absolute minumun is

$m=\frac{3}{5}$

and the absolute maximun is

$M=3$

The approximation to the integral is

$\frac{3}{5}(2-0)\leq \int\limits^2_0 {f(x)} \, dx \leq 3(2-0)$

hence

$\frac{3}{5}(2)\leq \int\limits^2_0 {f(x)} \, dx \leq 3(2)\\\frac{6}{5} \leq \int\limits^2_0 {f(x)} \, dx \leq 6\\1.2 \leq \int\limits^2_0 {f(x)} \, dx \leq 6$

7 0

4 years ago