(i) Determine the value ofk (ii) Let a = -1 and b = 2.

Q: y1 =  8x,  y2 =  (6x -  1), and y1 exceeds y2 by 2.

A:

Q: -2 if x 2 Find h (-4), h (1), and h (2).

A: GIVEN : h(x)={  -2                             if x<-2  -(x+1)2 +1            if -2≤x<2  -14x…

Q: What isthe value of 36x-8y² when x = 3 and y = -6?

A:

Q: Use the functions f(x) = -3x – 14 and g(x) = 2x2 + 5x – 7 to evaluate the following: a. f(8) = b.…

A:

Q: (b) Ax+By-12 0; x-intercept = -6; y-intercept = %3D %3D

A:

Q: V(X) = i

A:

Q: f(x) = 13x + 4 a.) f(-3) b.) f(4)

A: topic - functions

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: Y=kx +3 for x

A:

Q: -x + y2 = 3 and x + y2 - y = 0

A: Consider the given equations as,

Q: The profit (in dollars) from the sale of x lawn mowers is II(x) = 20 x - 0.02 x2 - 750. The average…

A:

Q: If P(A) =0.55 and P(A and B) =0.22. A and B are independent, find P(B)=?

A: It is given that  P(A) =0.55  P(A and B) =0.22 Given, Event A and B are independent then, P(A and B)…

Q: Express 0 in each figure in terms of x. (a) 4 0 3= (b)

A: Using the trigonometric ratio  tan θ=PB  tan θ=x4   θ=tan-1 x4

Q: Put the function Q= (t-2)(t+2) - (t+4)(t-1) in the form Q= it and state the value of k

A:

Q: Find T(10) and T(40). You may use a calculator.

A: We have , T = 95x - 1.5x2 OR      T(x) =

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: 3.) Simplify (0.75x + 2y) - (0.3x – 0.6y)

A:

Q: Let X and y be two real numbers different from zero. Simplifying the expression 2xy ( - x2y) +…

A: To simplify the expression.

Q: Which function is equivalent to, y = 4x - 16x + 11 y = 2(x + 4)2 + 6 y = 4(x – 2)² – 5 y = 4(x +2)?…

A:

Q: For which values of x is Y1 = Y2?

A: A table with X, Y1,Y2

Q: Which function is equivalent to y = 3(x + 4)2 + 5? Oy = 3x2 + 24x + 63 Oy = 3x? + 21 O y = 3x2 + 24x…

A: Qudratic expression

Q: P = C(1 + m) for m (business, value depreciation of equipment)

A:

Q: %3! Let A(r) = | f(t)dt for the function f(t) graphed below. Evaluate A(x) for a = 2 and 5. 2 5.…

A: Find area under the curve A(x) from 0 to 2 and 0 to 5

Q: 6 8. 6x - 3y = 15 4x – 3y =-5

A:

Q: A = p + prt for r ( banking)

A: