Algebra Answers

which expression is equivalent to 2/3(x+2)-1/3(x-2)

On 1 Jan 2014 a bird sanctuary is home to 25 birds. During Jan 2014, 3 more birds are brought into the sanctuary. During each subsequent month, 2 more birds are brought into the sanctuary than were brought in during the previous month. Assuming that no birds die or leave the sanctuary, work out how many birds are in the sanctuary on 31 Dec 2014.

Right now dealing with transformations of sine and cosine functions. Here's the equation I'm stumped on:
F (x)=3 cos (4 pi x - (pi/2)) - 2

I'm trying to put this into the form:
A cos [B (x - C)] + D
But I can't figure out how to factor the
(4 pi x - (pi/2)) into the form [B(x - C)].
I'm confused because if B is 4pi, and the period is (2pi/B), wouldn't I end up with a pi-less period? I haven't encountered that yet.
Also, if the phase shift is C/B, wouldn't I also end up with a pi-less phase shift?

A manufacturer has 600 litres of 12% acid solution. How many litres of 30% acid solution must be added
to it so that acid content in the resulting mixture will be more than 15% but less than 18%?

1.
Write the quadratic expression x^2 − 24x − 12 in completed square form.

2.
Use the completed square form from above to solve the equation x^2 − 24x − 12 = 0, leaving your answer in exact (surd) form.

3.
Use the completed square form from part 1 to write down the vertex of the parabola
y = x^2 − 24x − 12.

What does this equation tell you about a graph?

y = 5x^2 − 11x + 8

What Is The Rules Of Subtracting Whole Numbers And Decimal ?

If 2-i is a solution of the equation x^2- 4x+ k= 0, what is the value of k?

The graph of... y = − x^2/8 + 11x/8 + 3/2 is a parabola.

1. Use algebra to find the x-intercepts

2. Explain why the y-intercept is 3 / 2
.

how do you do relations and functions