All categories

3 years ago

Solve for all valúes of x

Mathematics

1 answer:

malfutka [58]3 years ago

7 0

Answer:

2x/(x+3) +3/(x-3) = 8/(x^2

[2x(x-3) +3(x+3)]\( x^2 - 9) =8/(x^2 -9)

2x^2 -6x +3x +9=8 (x^2 -9) /(x^2 -9)

2 x^2 -3x +9 -8=0

2 x^2 -3x +1 =0

2x^2 -2x -1x +1 =0

2x(x-1) -1(x-1)=0

(x-1)(2x-1)=0

either, or, 2x-1=0

x-1 =0 2x =1

x =1 x= 1/2

hence, x= 1, 1/2

You might be interested in

2.Dawood can proofread 50 pages in 40 minutes. How many pages can he proofread in 2 hours? 4 marks

Elden [556K]

Answer:

Q1:

150 pages is the answer

2 hours= 60+60minutes

So 120/40 =3

Answer= 50×3= 150.

Q2:

Using Work=men×days we get

Work=20×20

Work=400

Now, work is same and number of days are to be calculated

400=25×days

days= 16

400 = 25 x 16

so it will take 16 days

Step-by-step explanation:

Hope this helps!

8 0

3 years ago

Write an inequality for the sentence: The total t is less than sixteen.

RoseWind [281]

T<16 is your inequality.

7 0

3 years ago

Tara places a picture in a picture frame. The width of the picture is x inches, and the length of the picture is 2 inches more t

CaHeK987 [17]

Refer to the diagram shown below.

The dimensions of the outside of the picture rame are:
Width = x + 1 + 1 = x + 2 inches
Length = (x+2) + 1 + 1 = x + 4 inches.

The perimeter of the outside of the picture frame is 28 inches.
Therefore
2(x + 2) + 2(x+4) = 28

Solve for x.
2x + 4 + 2x + 8 = 28
4x + 12 = 28
4x = 16
x = 4 inches

Answer: 4 inches

7 0

4 years ago

During a basketball game, chiyann made 15 baskets. She made three more baskets then twice number of baskets made by whitney. How

Nadusha1986 [10]

Answer:

Whitney made 6 baskets

Step-by-step explanation:

Let the number of baskets made by Whitney be x.

The 15 baskets made by

Chiyann is equal to 2 times plus 3 what Whitney made

Mathematically what she made would be 2x + 3

To get x, we equate this equation to 15

2x + 3 = 15

2x = 12

x = 12/2

x = 6 baskets

7 0

3 years ago

You borrow $900 to buy a laptop. You plan to pay off the loan after 5 years of equal monthly payments. After 10 payments, you ha

matrenka [14]

Answer: The simple annual interest rate on my loan is 12%

Step-by-step explanation:

I planned to pay off the loan after 5 years of equal payments; There are 12 months that make up one year and the total number of months in five years = 12 × 5 = 60 months. This means that I planned to pay off the loan after 60 equal monthly payments.

If I have also made 10 of such monthly payments already and I have $1,200 left, it means that I now have 50 more months to clear the $1,200 that is left.

If I have $1,200 left to pay in 50 months, then my average payment per month is =

$1,200/50 = $24

Since I pay $24 monthly which includes part of the principal and the interest, then my total payment over the five years (60 months) will be = 24 × 60 = $1,440 (Principal+interest).

If the principal borrowed was $900, then the interest charged on the money over the 5 years = $1,440 - $900 = $540

With the interest known, we will now use the simple interest formula to find the simple annual interest rate on the loan.

Simple interest = (Principal×Rate×Time)/100

Where, S.I = $540

P = $900

T = 5years

R = ?%

540 = (900 × R × 5)/100

45R = 540

R = 540/45

R = 12%

Therefore, the simple annual interest rate on my loan is 12%

5 0

4 years ago