Algebra Answers

, The solutions of the inequality IIxI-1I <=1/2 are ?

Multiply 53 by 24, firstly by breaking down 24 in its terms (20 + 4) and secondly by breaking down 24 in its factors (6 * 8). Show all your steps.

. If one root of the quadratic equation ૛࢞૞ − ૛࢞ + ࢑ ૙ = is the reciprocal of the other

then find ࢑ .

given a function 4x-4 what is y when x is 1, 2, and 3

1.1 Using graphical method, solve the equation; 𝑥

2

- 3𝑥 – 4 = 0

1.2 Solve the equation; x

2

- 8x + 7 = 0 using the Quadratic Formula

2x + 1 = 5x-44

the left and right page numbers of an open book are two consecutive integers whose sum is 193

A drain has a rectangular profile. W is the width of the drain in meters, and

D is the depth of the water in meters.

In the case that the depth is much less than the width the amount of water that flows per second through a rectangular drain is given by the following formula:

Q =

A

n

D

2

3 S

1

2 (1)

In which:

- Q is the volume of water that

flows per second through the

drain (in m3/s);

- A = W×D, the cross-sectional

area of the drain up to the level

of the water (in m2)

- n is a parameter describing the

resistance to the flow of water;

- S is the gradient of the river

(in m/m).

Use formula 1 to derive the units of n.

A drain has a rectangular profile. W is the width of the drain in meters, and

D is the depth of the water in meters.

In the case that the depth is much less than the width the amount of water that flows per second through a rectangular drain is given by the following formula:

Q = (A/n)*(D^2/3)*(S^1/2) ------------- (1)

In which:

- Q is the volume of water that

flows per second through the

drain (in m3/s);

- A = W×D, the cross-sectional

area of the drain up to the level

of the water (in m2)

- n is a parameter describing the

resistance to the flow of water;

- S is the gradient of the river

(in m/m).

Use formula 1 to derive the units of n.