pythagoras theorem and financial polynomials essay

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Mathematics

Ahmed and Vanessa have interest in locating a treasure, which can be buried. It can be my responsibility to help the 2 locate this. First, I will help them identify it through Pythagorean quadratic. As per Ahmed’s half, the treasure can be buried in the desert (2x + 6) paces constitute the Castle Mountain while according to Vanessa’s 1 / 2 she has to walk (x) paces towards the north then simply walk (2x + 4) paces to the east. According to the Pythagorean theorem, every correct angled triangular with duration (a) and (b) in addition to a hypotenuse (c), has a marriage of (a2 + b2 = c2) (Larson & Hostetler, 2009).

In Ahmed and Vanessa’s case, Let me let a=x, b =2x+4 and then c=2x+6. To follow, will be my efforts to put the measurements above into the true Pythagoras theorem equation the following:

X2+ (2x+4)2=(2x+6)2 this is the equation formed out from the Pythagoras Theorem

X2+4×2+16x+16 = 4×2+ 24x+36 are the binomials squared

x2 & 4×2 on both sides can be subtracted out.

X2+16x+16 = 24x +36 take away 16x from both sides

X2+16 = 8x+36 now take away 36 by both sides

X2-20 = 8x

X2-8x-20=0 I will use to fix the function by invoice discounting using the actually zero factor.

(x-) (x+) the coefficient of x2

Application and collection from the following (-2, twelve: -10, two: -5, some; -4, -5)

In this case, it appears that I am going to work with -10 and 2 is as per how a expression looks like this (x-10)(x+2)=0

X-10=0 or perhaps x+2=0 creation of a complicated equation

x=10 or x=-2 these are both the probable resolutions to this equation.

One with the two worked out solutions is usually an external solutions, as it do not use such sceneries. The remaining answer I only have is (X=10) as the number of paces Ahmed and Vanessa have to complete to find the shed treasure. Therefore the cherish is 10 paces to the north 2x+4 connect the 10, right now its 2(10)+4=24 paces to the east of Castle Rock, or perhaps 2x+6= 2(10)+6=26 paces coming from Castle Mountain.

Economic polynomial

For the truth of financial polynomials, I have initial to write the polynomial with no parenthesis. Following above, Need to solve pertaining to p= 2k + l = 10% for part A and then solve pertaining to p= $5670 + l = 3. 5% to get part N, without the parenthesis as follows:

P + G r & P r2/4 (the first polynomial) to reach this My spouse and i followed the following steps:

(1 + r/2)2 This is because it appears to be as if it can be foil

P(1 + r/2)

P (1+r/2)(1+r/2) After the two equations I actually combine like terms. Mainly because I was multiplying simply by 2 on r/2, it cancels away both 2’s and I in that case get left with is r as follows;

P(1+ r/2 + r/2 + r2/4)

P(1 + 2(r/2) + r2/4)

I then create in descending order (P + Public relations + Pr2)

To solve intended for P=2000 and r=10% the next follows;

P + Pr + Pr2/4

2000 + 2000 ×(0. 10) +2000× 0. 1024

2000 & 200 & 5 sama dengan $2205

P(1+ r/2)2

2000×( 1 +. 10)2

2000×(1. 05)2

2000×( 1 . 1025) = $2205

For component B Let me solve to get P=5670 and r= three or more. 5%

G + Public relations + S ×(r2/4)

5670 + 5670× (0. 035) + 5670 × 0. 0352

5670 + 198. 45 + 1 . 7364375 = 5870. 1864375

This is approximately ($5870. 19)

The problem 70 on-page 311 gets the following steps;

(-9×3 & 3×2 ” 15x) ÷ (-3x)

The Dividend can be (-9×3 + 3×2 ” 15x), and the Divisor is usually (-3x).

The Dividend is definitely (-9×3 + 3×2 ” 15x), plus the Divisor can be (-3x).

-9×3 + 3×2 ” 15x

-3xAfter I actually divide -9 by -3 which means +3. The x at the bottom cancels the x through the top.

-9×3 + 3×2 ” 15x

-3x -3x -3x

-9* x*x* by

I was now playing 3×2 to get the 1st part of the polynomial.

-3 * x

-9*x *x * x

-3 * by

I first divide three or more by -3, which means -1 and the x from the bottom cancels out one of the x’s from the best.

-9×3 & 3×2 ” 15x

-3x -3x -3x

3 *x *x

At this point I i am left with -1x, which simplifies to just “x, as the 2nd part of the polynomial.

Then

-3 *x

3 *x 5. x

-3 * by

Then I split -15 by -3, which will equals confident 5, as well as the x on the bottom cancels out your x on top, so you might not have any x’s to carry onto the answer from the equation.

-9×3 + 3×2 ” 15x

-3x -3x -3x

-15 *x

At this time I are left with only 5 the past part of the polynomial, and the answer is

3×2 ” x + 5.

-3 2. x

-15 * back button

-3 5. x

The negative indication from the -3 x alterations the additionally sign in the equation to a minus signal, it alterations the less sign to a plus sign in the final solution, and the equation is in Climbing down order.

Research

Larson, R., & Hostetler, R. G. (2009). Elementary and more advanced algebra. Boston, Mass: Houghton Mifflin

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