Perhaps change it to.......... y= -2*3^x+1 ???

As x increases, y decreases, indicating decay (of something)

Because they anticipated your birth and they needed something to torture you with..........

You can use the on-site calculator to find the answer. Just key it in, as is !!!

Find the equation of a straight line that passes through the point(2,-1) and has x intercept of 4 units

Ok...if it has an x intercept of 4 units, it passes through the point (4,0)

Let's find the slope (m) between these points..we have

m = [0 - (-1)] / [4 - 2]  =  1/2

So, using one of the points (we can choose either, but (4,0) makes the problem easier) and the slope, we have

y - y₁   = (m)(x- x₁ )

y - 0 = (1/2) (x -4)

y = (1/2)x - 2

Checkimg this with the second point, we have

-1 = (1/2)(2) - 2

-1 = 1 - 2

-1 = -1

Looks like   y = (1/2)x - 2   is correct

Re: cosx=24/25

I assume you want to find the angle here

Using  acos(24/25), we have.......16.26º

Re: ind the angle between the given vectors to the nearest tenth of a degree u = <2, -4>, v = <3, -8>

To find this, we can use this

arcos [(u dot v) / (llull * llvll] = θ

Let's find the dot product of u and v    We have

(2*3) + ((-4) * ((-8)) = (6 + 32) = 38

Now, let's find the length of u = llull = SQRT[2^2 + (-4)^2] = SQRT(4 + 16) = SQRT(20) = 2*SQRT(5)

And let's find the length of v = llvll = SQRT[3^2 + (-8)^2] = SQRT(9 + 64) = SQRT(73)

So putting this all together, we have

arcos [38 / (2*SQRT(5) * SQRT(73)] = arcos [19 / SQRT(365)] ≈ 6º

What is the value of n in the equation 12n + 8 = 11

Let's subtract 8 from both sides    This gives us

12n = 3

Divide both sides by 12 to solve for n  

We have

n = 3 /12  =   1/4

Check this

12 (1/4) + 8 = 11  ??

3 + 8 =  11   (OK)

"of" usually means "multiply"

So, convert the "50%" to a decimal = .50    

And we have

.50 X 100

And I'll let you finish this.....

Thanks, Anonymous...I made a slight error in transcribing the problem.....sorry!!

Let me correct this

(x+4) (x-4)  - (x-4) (3x+5)

Since (x-4) is common to both terms, we can factor it out, and this gives us

(x-4) [(x+4) - (3x + 5)]  Now, simplifying the stuff in the brackets, we have

(x-4) (-1 - 2x) =

(x - 4) (1 + 2x) (-1) =

(-1) (x - 4) (1 + 2x)    And multiplying (-1) across (x-4) we end up with

(4 - x) (1 + 2x)

And that's it !!!

Jarvis had $10. He now has $15. What was the percent change

We're trying to find  the % increase

This is given by

(New - Old) / (Old)

So we have

(15 - 10) / 10   =

5 / 10   = 

50 / 100   =

50% increase