2 13 (a) Solve: p- p+2 =13 Hence solve for x if: x-4x-1x -4x+1 (b) hot P=3x-6x+12 is positive for all values of utate for which values of x will

Q: How do I complete the square on thsi following polynomial: x2-6x+12-y=0 To end up with:…

A: x2-6x+12-y=0 cannot be expressed as (x-3)2+4-y=0 because (x-3)2+4-y=0 when expanded will give…

Q: If a and 3 are the roots of the quadratic 3r² – 4.x + 6 = 0, find the value of ( + )

A: We have to solve given problem:

Q: 71 Ix+4] |x- 31

A:

Q: elow t

A: First, we simplify the exponent terms, (-4x2-8x+7)+(12x-9)-(7x+2)2…

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A:

Q: 2x+1 (x2 +x+1)2 3/2

A:

Q: Show that the equation e +-23D0 has no real root which is less than 1.

A:

Q: 0 This part of the question concerns the quadratic function y =x+14x +36. %3D (i) Write the…

A: Since you have asked a question with multiple subparts, we will solve the first three sub parts for…

Q: Solve the equation In (5x + 7)- In (x + 2) = In (2x + 2) - In 1

A:

Q: What are the real solutions of 7(x-2)/x+6 = 2 ? And are there any extraneous solutions?

A: 7(x-2)/x+6 = 2

Q: A rectangular poster has an area of (2x + 3x - 10) square inches. What are the dimensions of the…

A: We can find the dimension of the rectangle as below.

Q: A bicycle company finds that its average cost per bicycle for producing n thousand bicycles is a(n)…

A:

Q: (b) x1 + 2x2 + X3 = -1 X1 + 2x2 - X3 = -1 X1 - 2x2 + X3 = 3 (X1, X2, x3) =

A:

Q: 6) Show that 2 + j is a solution to the equation - 5x? + 9x - 5 = 0 by showing that equality holds…

A: Cubic equation

Q: find the value of m for which the equation (m+1)x2+2(m+3)x+(m+8)=0 has equal roots

A:

Q: Find the value of each of a,b,c so that 6x3 − 7x2 − x + 2 = (x − 1)(ax2 + bx + c)

A: Given equation is : 6x3-7x2-x+2=x-1ax2+bx+c To find the value a, b, and c

Q: Verify  (x+1)2= 2 (x-3) is a quadratic equation or not

A:

Q: n 10x + 11y = n has

A: The equation as, ax+by=S. The smallest positive integer S is expressed as, S=(k+1)*a*b

Q: A hiker walked for two days. On the second day, the hiker walked at an average speed of 1 mile per…

A:

Q: Solve: 5(х — 2) + 2х — 4(х + 3) + 8

A: Given,  The equation  5x-2+2x = 4x+3+8  We have to solve it

Q: K = 5k² - √5. 5 + 1 5. - 1 5k - 1 = ?

A:

Q: The city will pay to have soft pavement made of recycled tires installed in the playground. In the…

A: x=longer  side y=x-15=shorter side and the area is A=324 the area of the rectangle is given by…

Q: solve the equation 10(+1)(3x+4) - 2 × 10(x+1)(x+2) 1-x-x² = 10¹-

A: The equation is of single variable function solution. We have to solve this for x.

Q: Solve: 1 (i) x +1 1 1 1 X - 3 x - 1 x - 2 (ii) X - 1 x+ 4 x+2 x +3 - 4 x - 2 x - 3

A:

Q: -6(2x + 1) - 3 (x - 4) = 15x +1

A: No, it is false.

Q: # show that 18 x +11y = 1188 has solution Since (18₁111 = 1188

A:

Q: Given that (3x2+4x)/(2x+9) = 45 Find x

A:

Q: Find zeros

A: Answer Explanation:Step 1: Step 2: Step 3: Step 4:

Q: Make an appropriate substitution and solve the equation √(3+√(x+√(x+1)) ) =2

A: In this question we will find the value of 'x'.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.