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MAVERICK [17]
3 years ago
12

How to solve number 83?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
4 0

83.) Polynomial Division: (3x^5 - 15x^4 + 4x^3 + 11x^2 - 9x + 2)/ (x^2 - 5x + 2)

Write problem in special format:

x^2 - 5x + 2/ 3x^5 - 15x^4 + 4x^3 + 11x^2 - 9x + 2

Step 1: Divide the leading term of the dividend by the leading term of the divisor: 3x^5/x^2 = 3x^3

Write calculated result in upper part table: Multiply it by the divisor:

3x^3 (x^2 - 5x + 2) = 3x^5 - 15x^4 + 6x^3

Subtract dividend from obtain result:

(3x^5 - 15x^4 + 4x^3 + 11x^2 - 9x + 2) - (3x^5 - 15x^4 + 6x^3)

= - 2x^3 + 11x^2 - 9x + 2

x^2 - 5x + 2/3x^5 - 15x^4 +4x^3 +11x^2 -9x +2 = 3x^5/x^2 = 3x^3

- 3x^5 -15x^4 +6x^3 3x^3 (x^2 - 5x + 2) = 3x^5 - 15x^4 + 6x^3

- 2x^3 +11x^2 -9x +2

Step 2: Divide the leading term of the obtained remainder by the leading term of the divisor: - 2x^3/x^2 = -2x

Write down the calculated result in the upper part of the table: Multiply it by the divisor:

- 2x ( x^2 - 5x + 2) = -2x^3 + 10x^2 - 4x

Subtract the remainder from obtaining results:

( - 2x^3 + 11x^2 - 9x + 2) - ( - 2x^3 + 10x^2 - 4x) = x^2 - 5x + 2

x^2 - 5x + 2/ 3x^5 -15x^4 + 4x^3 +11x^2 -9x +2 = 3x^3 -2x

- 3x^5 -15x^4 +6x^3

-2x3 +11x^2 -9x +2 -2x^3/x^2 = -2x

-2x3 +10x^2 -4x - 2x (x^2 - 5x + 2) = -2x^3 + 10x^2 - 4x

x^2 -5x +2

Step 3: Divide the leading term of the obtained remainder by the leading term of the divisor: x^2/x^2 = 1

Write down the calculated results in the upper part of table. Multiply by the divisor: 1 (x^2 - 5x + 2) = x^2 - 5x + 2

Subtract the remainder from obtained result: (x^2 - 5x + 2) - (x^2 - 5x + 2) =

x^2 - 5x + 2/3x^5 -15x^4 +4x^3 +11x^2 -9x +2

- 3x^5 -15x^4 +6x^3

- 2x^3 +11x^2 -9x +2

- 2x^3 +10x^2 -4x

x^2 -5x +2 x^2/x^2 = 1

- x^2 -5x +2

0 1 (x^2 - 5x + 2) = x^2 - 5x + 2

Since the degree of the remainder is less than the degree of the divisor, then were done:

Therefore, 3x^5 - 15x^4 + 4x^3 + 11x^2 - 9x + 2/x^2 - 5x + 2

= 3x^3 - 2x + 1

+ 0

x^2 - 5x + 2 = 3x^3 - 2x + 1

Answer:

3x^5 - 15x^4 + 4x^3 + 11x^2 - 9x + 2/x^2 - 5x + 2

= 3x^3 - 2x + 1

+ 0

x^2 - 5x + 2

Answer: Letter Choice (A), (3x^3 - 2x + 1)

Hope that helps!!!! Have a great night : ) Answer: Letter Choice (A), (3x^3 - 2x + 1)

82): You are Correct Letter Choice (A), is the answer:

V = (L)(W)(H)

5 (x - 2)(x + 3) = 120

x^2 + x - 6 = 24

x^2 + x - 30 = 0

(x + 6)(x - 5) = 0

x = - 6

5 rejected length is negative

x = 5

W = 3in

H = 8in

Your answer: Letter Choice (A), Width 3in, and Height 8in.

Hope that helps!!!! Have a great evening: : )

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1.(8x+3)(4x-5) 2.(10x-2)(3x+6) please show your work will mark brainliest
ANEK [815]

Answer:

1)

32x^2 - 28x - 15

2)

30x^2 + 54x - 12

Step-by-step explanation:

1.

(8x+3)(4x-5)

Using FOIL

= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)

= 32x^2 - 40x + 12x - 15

= 32x^2 - 28x - 15

2.

(10x-2)(3x+6)

Using FOIL

= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)

= 30x^2 + 60x - 6x - 12

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8 0
3 years ago
Solve the system x+3=22 2x-y=2
steposvetlana [31]

Hello from MrBillDoesMath!

Answer:

x = 19, y = 36

Discussion:

x + 3 = 22     (*)

2x - y = 2      (**)


Subtract 3 from both sides of (*)

x + 3 -3 = 22 = 3 = 19  =>

x = 19


Substitute x= 19 in (**)

2(19) - y = 2 =>

38 - y = 2 =>           (add y to both sides)

38 -y + y = 2 + y =>

38 = 2 + y  =>         (subtract 2 from both sides)

38 -2 = 2 -2 + y =>

36 = y


Regards,  

MrB

P.S.  I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!


3 0
3 years ago
Which is log x+ 6 log(x+7) written as a single logarithm.
Elina [12.6K]

Answer: option d.

Step-by-step explanation:

 To solve this problem you must keep on mind the properties of logarithms:

log(b)-log(a)=log(\frac{b}{a})\\\\log(b)+log(a)=log(ba)\\\\a*log(b)=log(b)^a

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

5logx+6log(x+7)=logx^5+log(x+7)^6=logx^5(x+7)^6

Then, the answer is the option d.

4 0
3 years ago
Read 2 more answers
Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas
erastova [34]

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters

Hence,

The length of slide is 18.36 meters

4 0
2 years ago
URGENT!!!!!!!!!!!!!!!!!!!!!!!!!!!
Blababa [14]

For this case we have that by definition, the circumference of a circle is given by:

C = \pi * d

Where:

d: It is the diameter of the circle

They tell us that:

d = \frac {35} {2}\\\pi = \frac {22} {7}

Substituting:

C = \frac {22} {7} * \frac {35} {2}\\C = \frac {770} {14}\\C = 55 \ cm

Thus, the circumference of the circle is 55 centimeters.

Answer:

Option B

6 0
3 years ago
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