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3 years ago

Which rational expression is equivalent to 1/(x+4) + 3/(x-5)

Mathematics

1 answer:

Harman [31]3 years ago

6 0

Answer:

(4x+7)/(x^2-x-20)

Step-by-step explanation:

To simplify them into one, you need to make the common denominator (x+4)(x-5).

[1(x-5)+3(x+4)]/(x-5)(x+4)

(x-5+3x+12)/(x-5)(x+4)

(4x+7)/(x-5)(x+4)

I'm not sure how simplified you want it, but as I put at the top, the (x-5)(x+4) can be simplified to x^2-x-20

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Find the average score of 7,6,8,4,3,2

Marrrta [24]

Answer:

Step-by-step explanation:

7 + 6 + 8 + 4 + 3 + 2 = 30

30 divided by 6 = 5

7 0

3 years ago

Find the equation for the parabola with vertex (1,4) that passes through the point (3,8)

Tcecarenko [31]

Answer:

y=(x-1)²+4

Step-by-step explanation:

The equation for a parabola in vertex form is y=a(x-h)²+k

(h,k) represents the vertex of the parabola

The value of "a" represents the stretch or compression factor

Since the vertex is (1,4) this means (h,k)=(1,4). To find the value of a, we plug in (3,8) as (x,y) in the equation:

y=a(x-h)²+k

8=a(3-1)²+4

8=a(2)²+4

8=a(4)+4

8=4a+4

4=4a

a=1

Since a=1 the parabola doesn't compress or stretch. This means that our final equation is y=(x-1)²+4

7 0

3 years ago

What is the domain of the function shown in the graph

inysia [295]

Answer:

The answer to your question is number 1) all real numbers.

Step-by-step explanation:

The Domain is all the set of numbers the x-axis could have.

In the graph, we notice a line that goes from zero to six, we could think that the domain is that interval but as the line has arrows, we can think that the line grows up in both senses, then the domain must be all real numbers.

7 0

4 years ago

The sum of three times the value of X and two is equal to four less than five times the value of X.which equation can be used to

andreyandreev [35.5K]

I got 3x + 2 = 5x - 4 which is a three-step equation. Does that answer your question?

4 0

3 years ago

Rodrigo planted flowers in a section of a circular garden as shown. Calculate the closest area of this sector of the garden to t

Novay_Z [31]

Answer:

$A = 118ft^2$

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have:

$\theta = 80$

$r = 13ft$ -- Radius

Required

Determine the area of the sector

Area (A) of a sector is calculated as:

$A = \frac{\theta}{360} * \pi r^2$

Substitute values for r and $\theta$

$A = \frac{80}{360} * \pi 13^2$

$A = \frac{80}{360} * \pi *169$

$A = \frac{80*169}{360} * \pi$

$A = \frac{13520}{360} * \pi$

Take $\pi$ as $\frac{22}{7}$

$A = \frac{13520}{360} * \frac{22}{7}$

$A = \frac{13520 * 22}{360 * 7}$

$A = \frac{297440}{2520}$

$A = 118ft^2$ <em>-- approximated</em>

4 0

3 years ago