what is wavy curve method?
exactly do we use open and closed brackets...??
The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.
A point moves such that the sum of its distances from the point (ae,0) and (-ae,0) is 2a. Show that the locus of this point is x2/a2 + y2/a2(1-e2) = 1
1) find all pairs of consecutive odd positive integers,both of which are smaller than 18,such that their sum is more than 20.
in this why you took x+ 2 not only x please tell me
Solve:
2x/ 2x2+5x+2 > 1/x+1
Hi
Solve the equation for x and y: (x - iy) (2 + 3i) = x+2i / 1-i
A company manufactures cassettes and its cost equation for a week is ( C = 300 + 1.5 x ), while its revenue equation is (R= 2x ) , where x is the number of cassettes sold. How many cassettes must be sold by the company to get some profit?
solve the polynomial inequality
(1) x4 - 5x2 + 4 < 0
(2) x4- 2x2 - 63 < or = 0
IF 1/8! + 1/9! = x/10! . Then find the value of x .
Solve the following inequations in R.
1. 1/x-1≤2
2. 5x+8/4-x<2
3. x/x-5>1/2
4. 0<-x/2<3
5. |3x-4/2|≤5/12
6. |x-2|/x-2>0
7. |x+2|-x/x<2
8. |2x-1/x-1|>2
9. |x-1|+|x-2|+|x-3|≥6
10. The marks scored by rohit in two tests were 65 and 70. Find the minimum marks he should score in third test to have an average of at least 65 marks.
11. The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side if the perimeter of the triangle at least 61cm, find the minimum length of the shortest-side.
12. How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?
13. A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If there are 640 litres of the 8% solution, how many litres of 2% solution will have to be added?
14. The water acidity in a pool is considered normal when he average pH reading of three daily measurements is between 7.2 and 7.8. If the first two pH reading are 7.48 and 7.85, find the range of pH value for the third reading that will result in the acidity level being normal.
15. Show that the solution set of the following linear inequations is empty set:
15.1) x-2y ≥0, 2x-y ≤-2,x ≥0, y ≥0
15.2) x+2y≤3, 3x+4y ≥12, y ≥1, x ≥0, y ≥0
If a+b=1, then prove that, (a+1/a)2+(b+1/b)2 >25/2 [ where a is not equal to b]
what is wavy curve method?
exactly do we use open and closed brackets...??
The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.
A point moves such that the sum of its distances from the point (ae,0) and (-ae,0) is 2a. Show that the locus of this point is x2/a2 + y2/a2(1-e2) = 1
1) find all pairs of consecutive odd positive integers,both of which are smaller than 18,such that their sum is more than 20.
in this why you took x+ 2 not only x please tell me
Solve:
2x/ 2x2+5x+2 > 1/x+1
Hi
Solve the equation for x and y: (x - iy) (2 + 3i) = x+2i / 1-i
A company manufactures cassettes and its cost equation for a week is ( C = 300 + 1.5 x ), while its revenue equation is (R= 2x ) , where x is the number of cassettes sold. How many cassettes must be sold by the company to get some profit?
solve the polynomial inequality
(1) x4 - 5x2 + 4 < 0
(2) x4- 2x2 - 63 < or = 0
IF 1/8! + 1/9! = x/10! . Then find the value of x .
Solve the following inequations in R.
1. 1/x-1≤2
2. 5x+8/4-x<2
3. x/x-5>1/2
4. 0<-x/2<3
5. |3x-4/2|≤5/12
6. |x-2|/x-2>0
7. |x+2|-x/x<2
8. |2x-1/x-1|>2
9. |x-1|+|x-2|+|x-3|≥6
10. The marks scored by rohit in two tests were 65 and 70. Find the minimum marks he should score in third test to have an average of at least 65 marks.
11. The longest side of a triangle is three times the shortest side and the third side is 2 cm shorter than the longest side if the perimeter of the triangle at least 61cm, find the minimum length of the shortest-side.
12. How many litres of water will have to be added to 1125 litres of the 45% solution of acid so that the resulting mixture will contain more than 25% but less than 30% acid content?
13. A solution of 8% boric acid is to be diluted by adding a 2% boric acid solution to it. The resulting mixture is to be more than 4% but less than 6% boric acid. If there are 640 litres of the 8% solution, how many litres of 2% solution will have to be added?
14. The water acidity in a pool is considered normal when he average pH reading of three daily measurements is between 7.2 and 7.8. If the first two pH reading are 7.48 and 7.85, find the range of pH value for the third reading that will result in the acidity level being normal.
15. Show that the solution set of the following linear inequations is empty set:
15.1) x-2y ≥0, 2x-y ≤-2,x ≥0, y ≥0
15.2) x+2y≤3, 3x+4y ≥12, y ≥1, x ≥0, y ≥0
If a+b=1, then prove that, (a+1/a)2+(b+1/b)2 >25/2 [ where a is not equal to b]