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Write the square of (2x+1/x)

pentagon [3]

Answer:

((2 x^2 + 1)^2)/(x^2)

Step-by-step explanation:

Simplify the following:

(2 x + 1/x)^2

Hint: | Put the fractions in 2 x + 1/x over a common denominator.

Put each term in 2 x + 1/x over the common denominator x: 2 x + 1/x = (2 x^2)/x + 1/x:

((2 x^2)/x + 1/x)^2

Hint: | Combine (2 x^2)/x + 1/x into a single fraction.

(2 x^2)/x + 1/x = (2 x^2 + 1)/x:

((2 x^2 + 1)/x)^2

Hint: | Distribute exponents over quotients in ((2 x^2 + 1)/x)^2.

Multiply each exponent in (2 x^2 + 1)/x by 2:

Answer: ((2 x^2 + 1)^2)/(x^2)

6 0

3 years ago

A cafe only sells two types of sandwiches, turkey and steak. The cafe charges $4 for turkey sandwiches and $6 for steak sandwich

valkas [14]

Answer:

513 turkey sandwiches were sold.

Step-by-step explanation:

Let's use $x$ to represent turkey sandwiches and $y$ to represent steak sandwiches.

$x$ = turkey sandwiches

$y$ = steak sandwiches

$x + y = 925$ total sandwiches that were sold

$4x + 6y = 4524$ dollars that were made

$x + y = 925\\y = 925 - x$

Now that we know what $y$ (steak sandwiches) equals, we plug it in to an equation to find $x$ .

$4x + 6(925-x) = 4524\\4x + 5550 -6x=4524\\$

Now, we subtract 5,550 from BOTH sides so we can get x by itself.

$-2x + 5550 - 5550 = 4524 - 5550\\-2x = -1026$

Next, we divide both sides by 2, so x is bare.

$\frac{2x}{2} = \frac{1026}{2}$

$x = 513$

Since x represents turkey sandwiches, we have our answer: 513 turkey sandwiches were sold.

I hope this helps! :)

3 0

3 years ago

WILL GIVE BRAINLIST SOON AS I CAN SOMEBODY PLEASE HELP ME

fgiga [73]

Answer:

A= 75.06 Sq Cm

Step-by-step explanation:

Please refer to the picture attached with this.

In ΔABD

AB = 8.5 , AD = 6 and say BD = x

Applying Pythagoras theorem in this triangle

Pythagoras theorem says

$a^2+b^2=c^{2}$

where c is the side opposite to the right angle, and b and a are the other two sides of the right angled triangle.

$x^2+6^2=8.5^{2}$

$x^2=72.25-36$

$x^2=36.25$

$x=6.02$

Hence side $a = x +19$

a = 6.02+19

a = 25.02

Now we apply the formula for area of a triangle which is given as

$A=\frac{1}{2}\times b \times h$

Where b is the base , here we have base as a = 25.02

h is the height , here h = 6

Putting these values in Formula we get

$A=\frac{1}{2}\times 25.02 \times 6$

$A= 25.02 \times 3$

$A=75.06$

Hence Area of the triangle is 75.06 sq cm

5 0

3 years ago

a standard six sided die. Janice rolled either a 2 or a 5 on the last 6 rolls of the die. What is the probability of Janice roll

Igoryamba

We have that the probability of Janice rolling a 2 or 5 on her 7th toss of the dice is

$\frac{1}{3}^7.$

From the question we are told that

Janice rolled either a 2 or a 5 on the last 6 rolls of the die

Janice rolling a 2 or 5 on her 7th toss of the dice

$P(2/ 5)=1/6+1/6\\\\P(2/ 5)=2/6\\\\P(2/ 5)=1/3.$

Where

$P(2/5 ) =(1/3)^6.$

Janice roll the standard die 7th time the probability of getting 2 or 5 is

$P(2/5 ) =\frac{1}{3}^7.$

For more information on this visit

brainly.com/question/11234923?referrer=searchResults

7 0

3 years ago

John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards. The area of the field is ________ square

oee [108]

Area = 2831.25 square yards

Perimeter =215.6 yards

EXPLANATION

The area and perimeter of a rectangular field are found using the formula for finding the area and perimeter of a rectangle respectively.

That means, area of the rectangular field is given by the formula,

$A= l\times w$

We just have to substitute
$l=62.5$ and $w= 45.3$ into the given formula and evaluate.

This implies that;

$A= 62.5\times 45.3$

This gives the area of the rectangular-shaped field to be;

$A= 2831.25$ square yards.

Now for the perimeter, we use the formula

$P=2w +2l$

Or

$P=2(w +l)$

Substituting the values for the length and width gives,

$P=2(62.5+45.3)$

$\Rightarrow P=2(107.8)$

$\Rightarrow P=215.6$

Hence the perimeter of the rectangular shaped field is 215.6 yards.

8 0

3 years ago