rational function f(x)=5-x/x^2+5x+6 f(x)=3

Answer:

[tex]\rm 4k(2k+ h)[/tex]

Step-by-step explanation:

A expression is given to us and we need to factorise it . The given expression is ,

[tex]\rm\implies (h+2k)^2+4k^2-h^2[/tex]

Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;

[tex]\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 [/tex]

Simplify ,

[tex]\rm\implies 8k^2+4hk [/tex]

In the above expression 4k is common in both the terms , so that ,

[tex]\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}[/tex]

The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

From the question,

We are to factorize the expression (h+2k)²+4k²-h²​ completely

The expression can be factorized as shown below

(h+2k)²+4k²-h²​ becomes

(h+2k)² + 2²k²-h²​

(h+2k)² + (2k)²-h²​

Using difference of two squares

The expression (2k)²-h²​ = (2k+h)(2k-h)

Then,

(h+2k)² + (2k)²-h²​ becomes

(h+2k)² + (2k +h)(2k-h)

This can be written as

(h+2k)² + (h +2k)(2k-h)

Now,

Factorizing, we get

(h +2k)[(h+2k) + (2k-h)]

Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]

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Answer:

it is called a linear pair.

mark brainliest pls

Answer:

lianer lines

Step-by-step explanation:

Answer:

(3x)¹²

Step-by-step explanation:

(3x³)⁴ can be simplified into (3x)¹²

The simplified value of the given expression is 3x¹²

Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler, usually shorter.

Given that, an expression (3x³)⁴

Using the identity = (xᵃ)ᵇ = xᵃᵇ

(3x³)⁴ = (3x)³ˣ⁴ = 3x¹²

Hence, the simplified value of the given expression is 3x¹²

Learn more about Simplification , click;

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Answer:

2nd option

Step-by-step explanation:

The shaded area = outside area - inner area

                           = x² - (x - 6)² ← expand using FOIL

                         = x² - (x² - 12x + 36) ← distribute parenthesis by - 1

                        = x² - x² + 12x - 36 ← collect like terms

                        = 12x - 36

Answer:

51

Step-by-step explanation:

1. The median of a data set is the middle number within the data points.

2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.

Answer:

Proportional

Step-by-step explanation:

Answer:

Step-by-step explanation:

width= x

length= x+6

perimter  = 2x+ 2(x+6)

36= 2x+ 2x+ 12

36= 4x + 12

36-12= 4x

4x= 24

x= 6

therefore width= 6cm

length= 6+6 = 12

Answer:

a

Step-by-step explanation:

a linear function have a shape of y=ax+b

y=8x-3 is linear where a=8 and b=-3

Answer: y = 4(2x) - 3

Step-by-step explanation: Linear functions are typically in the form y = mx + b. Out of the 4 choices, only the first one, (y = 8x - 3 when distributed) is in this form.

Answer:

The answer is 27

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2(3y+6+3)=196−16

(2)(3y)+(2)(6)+(2)(3)=196+−16(Distribute)

6y+12+6=196+−16

(6y)+(12+6)=(196+−16)(Combine Like Terms)

6y+18=180

6y+18=180

Step 2: Subtract 18 from both sides.

6y+18−18=180−18

6y=162

Step 3: Divide both sides by 6.

6y

/6

=

162

/6

y=27

Answer:

She pays 11.40 for the roast

Find unit rate then multiply

Answer:

1,1 + 1oope k1 5l+<=3 is the 109199

Answer:

1) 8 3/5

2) Option 3

Answer:

H: 119 degrees.

G: 61 degrees.

M: 54 degrees.

K: 126 degrees.

Step-by-step explanation:

Answer:

Adam baked 44 muffins.

Fred baked 88 muffins.

Step-by-step explanation:

Adam) Do 36 + 8 = 44

because it says Adam baked 8 more than Brad.

Fred) Do 44 x 2 because it says

He baked 2 time more than Adam

-kiniwih426

__________

[tex] \: [/tex]

[tex]( \frac{1}{9} ) {}^{a + 1} = {27}^{2 - a} [/tex]

[tex]( {3}^{ - 2} ) {}^{a + 1} = ( {3}^{3} ) {}^{2 - a} [/tex]

[tex] \cancel{ {3}}^{ - 2a - 2} = \cancel{{3}}^{6 - 3a} [/tex]

-2a - 2 = 6 - 3a

-2a + 3a = 6 + 2

a = 8✔

Answer:

13/6

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

There is a slope formula for this.

(x1,y1)= (-4,6)

(x2,y2)= (2,7)

Plug it into the formula:

[tex]\frac{7-6}{2-(-4)}= \frac{1}{6}[/tex]

The slope is 1/6. It doesn't matter which set of coordinates you use for x1, y1.

Answer:

76

Step-by-step explanation:

PQRS is a Rhombus.

Property of Rhombus : -

All sides are equal.

So,

PQ = QR = RN = NP

RN = 5x + 16

QR = 9x - 32

QR = RN

5x + 16 = 9x - 32

9x - 32 = 5x + 16

9x - 5x = 16 + 32

4x = 48

x = 48 / 4

x = 12

Substitute x = 12 in RN,

RN = 5x + 16

= 5 ( 12 ) + 16

= 60 + 16

RN = 76

Since,

PQ = QR = RN = NP

Therefore,

PQ = 76

Answer:

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^½. In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.For the denominator, that deals with the radical. The index, to be exact. The index describes what kind of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3).^^^Exponential fractions still follow the same rules of simplifying, so...

x^2/4 = x^1/2 = sqrt(x)

Step-by-step explanation:

When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2

Now, how to go about doing this:

In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.

For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:

x^6/5 = Fifth root of x^6

x^3/1 = x^3

^^^Exponential fractions still follow the same rules of simplifying, so...

x^2/4 = x^1/2 = sqrt(x)

Answer:

75 feet

Step-by-step explanation:

45/6 equals 7.5

7.5*10=75

Using the z-distribution, it is found that the margin of error of the confidence interval is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, it is stated that the population standard deviation is known, thus, the z-distribution is used.

The margin of error of a z-confidence interval is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

A similar problem is given at https://brainly.com/question/25214883

Answer:

x=-5

Step-by-step explanation:

move the x to the other side. Then move the - 23. you get -x=5

you divide by -1 and you get x=-5

Step-by-step explanation:

Given equation,

-23 = x - 18

⇛-23 + 18 = x

⇛ -5 = x

⇛x = -5 Ans.

Hence, the value of "x" is -5.

Answer:

13.05

Step-by-step explanation:

1

11.75

+ 2.3

13.05

Answer:

14.05 miles

Step-by-step explanation:

To find the total amount of miles, we have to add 11.75 and 2.3, or 2.30. First, we add our hundredths:

0.05 + 0.00 = 0.05

Then, we add our tenths:

0.7 + 0.3 = 1

Then, we add our ones:

1 + 2 = 3

Finally, we add our tens:

10 + 0 = 10

Now, let's add all those numbers together. 10 + 3 + 1 + 0.05 = 14.05.

Answer:

yes

Step-by-step explanation:

because its right i know its right

Answer:

∠8 is 105° and ∠7 is 75°

Step-by-step explanation:

Angles 4 and 8 are corresponding angles, and are congruent.

Angles 8 and 7 are a linear pair