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I need to determine a sequence or maybe a series for the depreication of a new car, it depreciates by 20% in its first year, each succeeding year it depreciates by 10%. Assume the car is still in...

The number of bacteria, N(t), in a culture is given by the formula N(t)=2500*2^t/d, where t is the elapsed time in minutes and d is the doubling period. How can you manipulate that formula to...

I don't know I'm not that great at math and its late but I can maybe give you one, I know its not much I'm sorry.
Okay for 3x-2y=-6 what you want to do is pick a side to move everything that isn't y...

How can the graph of f(x)=x^2-4x be used to obtain the graph of y=g(x) which is g(x)=1/f(x)?


What would be the reflection of f(x)=sqrt(x-2) in the line y=x? How would you write the equation of...

y=-2f(x-1)+3 would it be right to say that it is expanded vertically by a factor of two, reflected in the x-axis and then translated 1 unit to the right and 3units up??

and for y=2f(-3x+12) is...

Using transformations and the zeros of the polynomial function f(x)=x(x-4)(x+2) how could you determine the zeros of y=f(2x)??

Thanks

How are the graphs of y=x^2-3x and y=3x-x^2 related? I know that 3x-x^2 is a reflection of y=x^2-3x but what else do they have income besides that and their intersection points?

Same with the...

By equivalent I meant that the parabola of y=(x+2)^2+1 is the reflection of y=(x-2)^2+1 which means that it is its inverse, you can look on the graph and know what the equation of the reflected...

How would I solve algebraically to determine that the equation y=(x+2)^2+1 is equivalent to y=(x-2)^2+1? I keep coming up this the wrong thing.

Thanks

Attached is the graph of y=f(x), on the same grid I hae to graph y=f(2x) and y=3f(x). For y=3f(x) I got the coordinates (-4,-12), (-2,-6), (0,0), (2,6) and (6,18) which results in a straight line,...

It kind of clears things up but in my book it states that when transforming and merging two formulas into a function that I'm supposed to replace x with either f(x) or g(x). I know what a function...

Knowing f(x)=x^2+x and g(x)=2x+1 how would you solve f(g(x)) and
(g (circle) f)(4)??

How do you determine the f^(-1) of f(x)=3x-2?
Is x+2/3 correct?

Thanks

Given these, how do I great a function of time, meaning f(x) from
v(t) = 25 - 9.8t
K(v) = 0.5v^2

Thanks

Okay but to find the function would this be right...

f(x) = 0.5(25-9.8t)^2
And how do I solve?

How would you solve x^3-3x^2+2=0?



Given P(x)=x^3-2x^2-x+8 how could you use its graph to solve x^3-2x^2>4x-8? Does it show you where it shifts and to what quadrant? I'm confused. What is the...

For x^3 + mx^2 + nx + 2 , how would you solve it out if you knew the zeros were -1, 2 and 1? Like how can you substitute those numbers in to solve for m and n?

Thank you.

A 0.5kg ball is thrown vertically upward at a speed of 25m/s. Its velocity, v(t) (in m/s), at time t(in seconds0, is given by v(t)=25-9.8t. Its kinetic evergy, K(v) (in Joules), is given by...

#1 Given f(x)-x^2-4 and g(x)=2x-1 how would you determine the value of (f+g)(3) and (f/g)(-1)?



#2 If f(x)=x+2 and g(x)=x how would you find the value or values for which (fg)(x)=8?


Thank...

That's awesome, thank you so much.

Why would f(x) =pi/4x^3-sqrt2x+4 be classified as a polynomial?


How would you determine the domain and range of y=x^4-4x^2?

Assuming that the zeros of the function y=x^3+mx^2+nx+2 are...

How would you determine the values of k if the graph of y=2x^2-2x+3k intersects the x-axis at two distinct points?


I was wondering too just aside from the question how do you check if an...

Thank you. So out of curiosity would 3x^2-4=0 find the same intercepts? Like would you factor it out to 3x(x-2) or 3x(x+2)?

How would you find the x-intercepts of y=3x^2-6X by factoring?
Thanks

I have to solve 4x^2 -2x=-1 for its complex roots, this is what I have so far
4x^2-2x=-1
4x^2-2x-1=0
a=4, b=(-2), c=(-1)

x=-b +- sqrt b^2-4ac / 2a
=-4 +- sqrt (-2)^2-4(4)(-1) / 2(4)
=-4 +-...

A ball is thrown straight up. Its height, h(in metres), after t seconds is give by h= -5t^2+10t+2. To the nearest tenth of a second, when is the ball 6m above the ground? Explain why there are two...

We can't put squares inside each other and we can't have 5 sides and 6 sides and 7 sides. I appreciate everyone's help but we're still off from what the question is asking, I've never been so...

Vertex AS Domain Range MIN/MAX
Y=0.5x^2 (0,0) X=0 all real numbers y<=0 MIN = 0
Y=0.5x^2-3 (0,-3) X=0 all real numbers y>=-3 MIN = -3
Y=0.5(x+4)^2 (0.0) X=0 ...

How would I graph x^2-3x=4 to solve it?
And I would I check?
Thank You.

The information I gave here is all the information I was gave. I'm assuming they want the maximum area possible while at the same time separating the two areas, so there will be two separate squares...

I stated that it was(the river) on the upper part of the two perfect squares, meaning it isn't on the sides which then elminates 2sides right? Leaving 5.
This still isn't helping though. Is my...

Sorry, your right. I wasn't paying attention.

I count 7 segments too. So does that mean 7x=200 is my algebraic equation for this question? Isn't there more too it?

Ms. Brown has 200m of fencing with which she intends to construct a rectangular enclosure along a river where no fencing is needed. She plans to divide the enclosure into two parts to separate her...

That makes sense now. Thank you.

I was given answers in fractions and when I tried to solve it out I wasn't getting those answers, I thought I was wrong and way off. Thank you for helping me out and giving me a laugh at not seeing...

How would you break down these equations to solve for m and b?

9=-3m+b
4=-m+b


Thank you.

Alice has gone to the hardware store to purchase two different kinds of cord she uses in kite construction. The first type of cord has a mass of 1.50g per metre, and the second type has a mass of...

We're doing inequalities I never thought that it could be as simple as this.
Thanks

Brandon and Pat drove from Edmonton to Saskatoon a distance of 545km. Brandon drove the first part of the trip at an average speed of 100km/h, and Pat drove the remainder at an average speed of...