Algebra Answers

If the difference between the largest and the smallest number from a set of five
numbers is 0, what is the difference between the second largest and the third largest
numbers?

Y=-2x+3
8x+4y=12

1.(1,1)
2.(0,0)
3.infinity
4.no solution

A firm manufacturing steel-balls of 1 gram each
For 10 days and keeping in diff containers say date 1,2,3,,,,,,,,,,,10

Came to know one day production was wrong weighing 1.1 gram of one date
But not known on which date whole production went wrong so
Weigh once and find which day production went wrong?

A standard drug used to relieve pain after a certain type of operation has been successful with 80% of patients. A new drug is tried, in the belief that it will be more successful, on 200 patients, and 170 of these gain relief. Is the belief in the new drug justified? What would be said if (i) 152 or (ii) 140 of the patients had gained relief?

functions f and g are defined by
f(x)=2x square +8x +1 for x is R
g(x)=2x-k for x is R
where k is constant
1)find the value of k for which the line y =g (x) is a tangent to the curve y=f(x).
2)in the case where k=-1 , find the set of values of x for which f(x)<g(x).
3)in the case where k=-1 , find g-1 f(x) and solve the equation g-1 f(x)=0.
4)express f(x) in the form 2(x+a)square + b ,where a and b are constant ,and hence state the least value of f(x)

1) the curve y = x square +3x +4 is translated by [2 0 ] , find and simplify the equation of the translated curve .
2)the graph of y = f(x) is transformed to the graph of y=3f(-x)
describe fully the two single transformations which have been combined to give the resulting transformation .

1)an arithmetic progression has a first term of 32 , a 5th term of 22 and a last term of -28 .find the sum of all the terms in the progression .
2)each year a school allocates a sum of money for the library . the amount allocated each year increases by 2.5 % of the amount allocated the previous year . in 2005 the school allocated $2000.find the total amount allocated in the years 2005 to 2014 inclusive

1)find the first three term in the expansion in ascending power of x ,of (1-2x) power 5.
2)given that the coefficient of x square in the expansion of(1+ax+2x square)(1-2x)power 5 is 12, find the value of the constant a.

After being told a student started to write like this: aAabBbcCcdDdeEe…………zZzaAabBb….. That means, at first a small letter then a capital letter then again a small letter. After finishing at ‘z’ he will start again from ‘a’. What will be the 2019th letter? Is it a capital or small letter?

Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write an equation to find the number, x.
What is the number? Enter your answer in the box.