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4 years ago

Use the grouping method to factor this polynomial.

Mathematics

1 answer:

tankabanditka [31]4 years ago

5 0

Answer:

Step-by-step explanation:

Given

x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )

= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term

= (x² + 3)(x + 3) → C

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A written explanation solving the question how much fluid is needed using the Pythagorean method and finding the area of the tri

Alecsey [184]

Answer:

793 liters of washing fluid is needed

Step-by-step explanation:

step 1

Find the slant height of the triangular faces of pyramid

we know that

The lateral area of a square pyramid is equal to the area of its four triangular faces

$LA=4[\frac{1}{2}bl]$

where

b is the base of triangle (is the same that the length of the square base)

l is the slant height

To find out the slant height we need to apply the Pythagorean Theorem

$l^2=(b/2)^2+h^2$

we have

$b=35.42\ m$

$h=21.64\ m$

substitute

$l^2=(35.42/2)^2+21.64^2$

$l^2=781.9337$

$l=27.96\ m$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bl]$

we have

$l=27.96\ m$

$b=35.42\ m$

substitute

$LA=4[\frac{1}{2}(35.42)(27.96)]$

$LA=1,980.6864\ m^2$

step 3

Find out how much window washing fluid is needed

we know that

2 L of washing fluid cover 5 square meters

using proportion

$\frac{2}{5}\ \frac{L}{m^2}=\frac{x}{1,980.6864}\ \frac{L}{m^2}\\\\x=1,980.6864(2)/5\\\\x= 792.27\ L$

Round up

793 liters of washing fluid is needed

6 0

3 years ago

Which of the following is the correct factored form of the given equation?

LenaWriter [7]

Answer:

$(4x - 3)(x - 2) = 0$

Last answer is correct

Step-by-step explanation:

$4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0$

hope this helps

brainliest appreciated

good luck! have a nice day!

4 0

3 years ago

Find the geometric mean of 3 and 48.

Natasha_Volkova [10]

Answer:

$12$

Step-by-step explanation:

<u>Step 1: Find the Geometric Mean</u>

<u /> $\sqrt{3*48}$

$\sqrt{144}$

$12$

Answer: $12$

7 0

3 years ago

In exercises 18 and 19 determine which solution if any is an extraneous solution 18.sprt(3x-2)=x; x=1,x=2. 19. Sprt(x+6=x; x=3,x

agasfer [191]

ANSWER

18. No extraneous solution.

19. The extraneous solution is x=-2

EXPLANATION

18. The given radical equation is:

$\sqrt{3x - 2} = x$

Solving this radical equation yields

$x=1,x=2$

We check for an extraneous solution by substituting each value into the equation.

Checking for x=1,

$\sqrt{3 \times 1 - 2} = 1$

$\sqrt{3- 2} = 1$

$\sqrt{1} = 1$

$1 = 1$

This is true.

Checking for x=2

$\sqrt{3 \times 2- 2} = 2$

$\sqrt{6- 2} = 2$

$\sqrt{4} = 2$

$2 = 2$

This is also true. Hence there is no extraneous solution.

19. The given radical equation is:

$\sqrt{x + 6} = x$

Solving this equation yields,

$x=3,x=-2$

Checking for x=3,.

$\sqrt{3+ 6} = 3$

$\sqrt{9} = 3$

3=3.

This is a true solution.

Checking for x=-2.

$\sqrt{ - 2 + 6} = - 2$

$\sqrt{4} = - 2$

$2 \ne - 2$

Hence x=-2 is an extraneous solution.

5 0

4 years ago

Please help I don’t get it

lidiya [134]

Answer:

4.718592

Step-by-step explanation:

To get to -14.4 from 18 you multiply 18 x 0.8

Repeat that until you get to the 7th term

18 (1st)

18 x 0.8 = -14.4 (2nd)

-14.4 x 0.8 = 11.52 (3rd)

11.52 x 0.8 = 9.216 (4th)

9.216 x 0.8 = 7.3728 (5th)

7.3728 x 0.8 = 5.89824 (6th)

5.89824 x 0.8 = 4.718592 (7th)

3 0

3 years ago