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3 years ago

Guys, please help out.

Mathematics

1 answer:

Margarita [4]3 years ago

5 0

Answer:

5x + 13

Step-by-step explanation:

The 2 binomials in algebraic form are

2x + 8 and 3x + 5

Summing them

2x + 8 + 3x + 5 ← collect like terms

(2x + 3x) + (8 + 5)

= 5x + 13

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miskamm [114]

V initial = l*w*h;
V final = (2/3)l*(2/3)w*(2/3)h = (l*w*h)*(8/9) = V initial * (8/9) ;

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3 years ago

There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the ma

klio [65]

5:8 Hope this helps!!

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3 years ago

Use Newton's Method to approximate the zero(s) of the function. Continue the iterations until two successive approximations diff

liubo4ka [24]

Answer:

There is only one real zero and it is located at x = 1.359

Step-by-step explanation:

After the 4th iteration the solution was repeating the first 3 decimal places. The formula for Newton's Method is

$x_{n}-\frac{f(x_{n}) }{f'(x_{n}) }$

If our function is

$f(x)=x^5+x-6$

then the first derivative is

$f'(x)=5x^4+1$

I graphed this on my calculator to see where the zero(s) looked like they might be, and saw there was only one real one, somewhere between 1 and 2. I started with my first guess being x = 1.

When I plugged in a 1 for x, I got a zero of 5/3.

Plugging in 5/3 and completing the process again gave me 997/687

Plugging in 997/687 and completing the process again gave me 1.36976

Plugging in 1.36976 and completing the process again gave me 1.359454

Plugging in 1.359454 and completing the process again gave me 1.359304

Since we are looking for accuracy to 3 decimal places, there was no need to go further.

Checking the zeros on the calculator graphing program gave me a zero of 1.3593041 which is exactly the same as my 5th iteration!

Newton's Method is absolutely amazing!!!

5 0

4 years ago

A rectangle has a height of 4 and a width of x2 + 3x + 2.

Mumz [18]

Question:

A rectangle has a height of 4 and a width of x² + 3x + 2. Express the area of the entire rectangle.

Given:

The height of the rectangle is 4.

The width of the rectangle is $x^2+3x+2$

We need to determine the area of the entire rectangle.

Area of the entire rectangle:

Let us determine the area of the entire rectangle.

The area of the rectangle can be determined using the formula,

$A=height \times width$

Substituting height = 4 and width = $x^2+3x+2$

Thus, we get;

$A=4(x^2+3x+2)$

Multiplying the terms by 4, we get;

$A=4x^2+12x+8$

Thus, the area of the entire rectangle is $4 x^{2}+12 x+8$

6 0

4 years ago

Divide 405 in to the ratio 3:12 give answer in the form ... and ...

OLEGan [10]

Answer:

81:324

Step-by-step explanation:

3+12=15

405 div 15 =27

3 times 27 = 81

12 times 27 = 324

81:324

6 0

3 years ago