All categories

3 years ago

Adding/Subtracting rational expressions

Mathematics

1 answer:

Leona [35]3 years ago

5 0

7]
6/(x-1)-5x/4
subtracting the above we put the fraction under the same denominator:
6/(x-1)-5x/4
multiplying the denominators we get:
4(x-1)
thus subtracting we get:
6/(x-1)-5x/4
=(4*6-5x(x-1))/[4(x-1)]
=[24-5x^2+5x]/(4x-4)
Answer:
(-5x^2+5x+24)/(4x-4)

9]
3/(x+7)+4/(x-8)
the common denominator is:
(x+7)*(x-8)=(x+7)(x-8)
thus adding the fractions we put them under the same denominator as follows:
[3(x-8)+4(x+7)]/[(x+7)(x-8)]
=[3x-24+4x+28]/[(x+7)(x-8)]
=(7x+4)/[(x+7)(x-8)]

You might be interested in

The newspaper reported that the Dow Jones Industrials have had a low of 8,062 and a high of 11,350. The Dow Jones Transportation

Marianna [84]

Answer:

The stock market crash of 2020 began on March 9, 2020. The Dow fell a record 2,013.76 points to 23,851.02. It was followed by two more record-setting point drops on March 12 and March 16. The stock market crash included the three worst point drops in U.S. history.

Step-by-step explanation:

8 0

3 years ago

Helppp its due nowwww

Irina-Kira [14]

Answer:

$9 x^4 y^6$

Step-by-step explanation:

Recall the Exponent Law:

$a^m \times a^n = a^{m +n}$

Solution:

$3x^2y^3 \times 3x^2y^3 \\ ( 3 \times 3 )x^{2 +2} y^{3 +3} \\ 9 x^4 y^6$

6 0

3 years ago

Read 2 more answers

A booklet is made from 6 rectangular pieces of paper. Each piece measures 297mm by 420mm. The mass of paper is 80g per m^2. What

liq [111]

Alright, so the area of one paper is 297mm*420mm=124740mm^2. Multiplying that by 6 due to 6 sheets, we get 748440mm^2. Converting mm^2 to m^2, since we know that 1000mm=1m, we simply do (1m/1000m)^2=1m^2/1,000,000mm^2. Our equation is now
748440mm^2*1m^2/1,000,000mm^2=0.748440m^2 by crossing out the millimeters. Lastly, since it's 80g/1m^2, we multiply our number by that to get 59.8752g

3 0

3 years ago

If the probability of a win is 0.2 and the probability of a draw is 0.64, what is the probability of a loss?

Veronika [31]

To find the probability of a loss add .2 and .64 together. You will get .84. The remaining .16 is the probability of a loss. The probability of a loss is .16.

5 0

3 years ago

Read 2 more answers

The area of the shaded segment is 100cm^2. Calculate the value of r.

Reil [10]

Hello,

The formula for finding the area of a circular region is: $A= \frac{ \alpha *r^{2} }{2}$

then:
$A_{1} = \frac{80*r^{2} }{2}$

With the two radius it is formed an isosceles triangle, so, we must obtain its area, but first we obtain the height and the base.

$cos(40)= \frac{h}{r} \\ \\ h= r*cos(40)\\ \\ \\ sen(40)= \frac{b}{r} \\ \\ b=r*sen(40)$

Now we can find its area:
$A_{2}=2* \frac{b*h}{2} \\ \\ A_{2}= [r*sen(40)][r*cos(40)]\\ \\A_{2}= r^{2}*sen(40)*cos(40)$

The subtraction of the two areas is 100cm^2, then:

$A_{1}-A_{2}=100cm^{2} \\ (40*r^{2})-(r^{2}*sen(40)*cos(40) )=100cm^{2} \\ 39.51r^{2}=100cm^{2} \\ r^{2}=2.53cm^{2} \\ r=1.59cm$

Answer: r= 1.59cm

7 0

3 years ago

Read 2 more answers