Explanation

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 ND1-1-2023

Explanation

First, we find the sum of the three polynomials, than divide the answer by 3.

Sum of the three polynomials

2x2 + 5x – 6

5x2 – 5x – 6

-7x2 + 30 / 18

Now, Average = Sum of the three polynomials / 3

= 18 / 3 = 6

so. the answer is 6.

Explanation

Solution:

To avoid the consuming calculation, factorize the given polynomial

x2 + 14x + 24 = x2 + 12x + 2x + 24 = x(x + 12) +2(x + 12)

=> (x + 2) (x + 12)

Subtracting the value of x in above

=> (854 + 2) ( 854 + 12) = (856) (866)

=> 741,296

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 ND1-1-2023

Explanation

Formula used:

Profit % = SP−CP/CP×100

Profit % = SP−CPCP×100, where SP is the selling price and CP is the cost price.

Complete step-by-step solution:

We are given that man (the buyer) purchases a cow for Rs. 3000 on a credit basis at a rate of interest 10% per annum for 2 years.

10% of Rs. 3000 is 

   10/100

×3000=Rs.300

10100×3000=Rs.300

For 2 years, the interest is 

2×300=Rs.600

2×300=Rs.600

Therefore the actual price (cost price) of the cow is 

3000+600=Rs.3600

3000+600=Rs.3600

The selling price of the cow is Rs. 3600.

Therefore, the profit or gain by selling the cow is

⇒Profit % = 3600−3600/ 3600 ×100=0%

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 ND1-1-2023

Explanation

69(a+b) = 69a+69b (by descriptive law)

(69+a)b = 69b+ ab

then,

69a+69b = 69b + ab

69a = ab

b = 69 (dividing both sides by a)

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 ND1-1-2023

Explanation

Operating system, editors, and debuggers comes under System Software.

System software is computer software designed to provide a platform for other software.

A debugger is a software tool that can help the software development 

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 ND1-1-2023

Explanation

P(x) = x^2+5x+6

As, x = 2 putting the value of x = 2 in P(x)

=> P(2) = 2^2 +5(2) + 6

=> P(2) = 4+ 10+6

=>P(2)= 20

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 ND1-1-2023