Comparing x - 2 with x-a, we get a=2 So by using remainder theorem,  R=P(a) or, 25= (2)4 + 3(2)2+ 2(2) +k or,25= 16 +12 + 4 + k Now find .....

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Here,  f(x) = 3x + 3. Now, to find f-1(x),  y = 3x + 3  Interchanging the role of x & y, we get x = 3y + 3 Solve and get y, which is f-1(x). Now put x = 2 and find the .....

Here,  (2x - 1) = 2(x - 1/2) is a factor of 8x3 + 32x2 + mx + 7. Compare ( x - 1/2) with x - a, we get a = 1/2. So, by factor theorem, f(a) = 0 f(1/2) = 0 or, 8(1/2)3 + 32(1/2)2 + m(1/2) + 7 = 0 Solve and find .....

Here, f(x) = (1 - x)/2  and g(x) = 3x - 4 Now, to find g-1(x), y = 3x - 4 Interchanging the role of x & y, x = 3y - 4 or, y = ( x+4)/3 So, g-1(x) = ( x+4)/3. Now,  fog-1(x) = f{g-1(x)} = f(x + 4)/3  = {1 - (x + .....

We have given f(x)= 5x - 4 Domain = { -1,0,1} Domain means, value of x,  and we have to find range means values of f(x) So put, x=-1 in f(x) f( -1 )= 5 .(-1) - 4= -9  similarly put x= 0  and  1 and find f(x) Then range are .....

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Here,  Let principal = P, Yime = T = 5 years. Amount = A = 5P SI = A - P = 5P - P = 4P. We know, SI = PTR/100 or, 4P = P. 5.R/100 or, R = 80%. Again, Time = 10 yrs R = 80% SI = Rs.3130 Then,  P = I ⨯ 100/TR Use above .....

Water evaporates when kepts in the .....

Our body needs energy to perform any activity. Sitting standing walking etc. This energy is derived from the food we eat or in the absence of food the stored fat in our body will be used. Oxygen breaks down the food and converts it into .....

To be technically precise, pure copper is diamagnetic, meaning that it has nounpaired electrons and will interact with magnetic fields only very weakly. Pure iron (and many iron containing compounds), on the other hand, .....

Because sun rays penetrate from cloths pores and evaporate water present in fabric hence clothes get dry quickly in Sun rays. While when we kept cloths in shade for dry at that time there is no any sun rays for drying at that time air works for .....

The main features of new accounting system are as follows: Based on double entry concept Emphasis on banking transactions Based on budget heads Use of bracket Simplicity and uniformity Based on cash .....

- Issue of Nepali currency notes and coins - Manage foreign exchange and reserve - Developing banking and financial system in the country - Rendering advance to the government on financial and economic matters - Mobilizing capital and managing .....

One of the advantage of a dry cell is that it is easier to handle than a wet cell, because acid may be spilled when a wet cell is being .....

The grooves are also called The Tread Pattern. They are usually provided to increase the tractive force The grooves are designed to allow water to be expelled from beneath the tire and prevent slipping If manufactured precisely it can .....

The purpose of the Scout Movement : to contribute to the development of young people in achieving their full physical, intellectual, social and spiritual potentials as individuals, to make responsible citizens and as members of their local, .....

Here we have given the sides of triangular pieces And rate of tiles. To find the total cost we need to find the area of liles. So, a = 113ft. b = 113ft.  c= 30 ft. Now, find semi perimeter,  s =[ a+ b + c]/2 Then area of a tile = A .....

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Join BD. Now,   Statement    Reason (i) ∡AOD = 2∡ABD  (i) Centre angle is double of the inscribed angle. (ii) ∡BOC = 2∡BDC  (ii) Centre angle is double of the inscribed .....

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Five leading families contended for power during this period--the Shahs, Choutariyas, Thapas, Basnyats, and Pandes. Working for these families and their factions were hill Brahmans, who acted as religious preceptors or astrologers, and Newars, who .....

We have given 1st term = a = 4, Last term = b = 24.  Let A1, A2, A3, …….An be n arithmetic means between 1 and 41 and let d be the common difference between the terms of the A.P. Then, d = (b – a)/(n + .....

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The gallbladder is a pear-shaped, hollow structure located under the liver and on the right side of the abdomen. Its primary function is to store and concentrate bile, a yellow-brown digestive enzyme produced by .....

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The greenhouse effect is caused by the trapping of energy in the lower atmosphere.

Natural disasters are extreme, sudden events caused by environmental factors that injure people and damage property. Earthquakes, windstorms, floods, and disease all strike anywhere on earth, often without warning are few examples of natural .....

Soil –Forests as such have a very low soil loss rate. It is at approximately two metric tons per square kilometer. Deforestation results in soil erosion because tress can bind the soil together. If trees are removed from steep slopes, .....

DISADVANTAGES •Sea - during a volcanic eruption earthquakes happen, and tsunamis may be created. Also, if it is a volcanic island, the island may be destroyed, and there is no escape. •Lava flow - these are very slow moving, but .....

Earthquakes can cause water pipes, gas pipes, and underground sewers to burst or break, refineries to be damaged, etc. which causes .....

Recycling helps to reduce pollution because it takes some solid waste products and changes them into new products. For example, old tires might be recycled and made into flip-flop sandals. Plastic soda bottles can be made into clothing. By .....

9. The teacher said, "What is your name?" 10. Gokarna said to her, "Please, stand up." 11. Prabina said to them, 'Close the .....

1. He said that he was reading a book. 2. He said that he could play the piano.  3. Nita told me that I had told her lie.  4. Mr. Rai asked if he was working there.  5. Anuja said, "Why were you crying yesterday?" 6. I .....

There is no any title in cricket as the god of cricket. But in India, Sachin Tendulkar is often considered as the god of cricket by the Indian cricket .....

inevitable = certain, surely rambunctious =noisy, raucous, rowdy. preposterous = silly, absurd, ridiculous, foolish, stupid, ludicrous ludicrous .....

From the definition: Temperature is a measure of the internal thermal energy state of a substance. So if there is no heat, there is no .....

पाचन प्रणाली एक अंगको साथमा काम गर्ने एक समूह हो जसले भोजनलाई ऊर्जा र प्राथमिक पोषक तत्वहरूमा .....