All categories

2 years ago

Simplify quantity 6 x squared plus 20 end quantity over 4

Mathematics

1 answer:

Elena L [17]2 years ago

3 0

Option B

quantity 3x squared plus 10 end quantity over 2

<h3><u>Solution:</u></h3>

Given that quantity 6x squared plus 20 end quantity over 4

<em><u>To find: simplify the given sentence</u></em>

quantity 6x squared plus 20 end quantity over 4 means that $6x^2$ plus 20 over 4

Here the term "over" represents division

So the quantity 6x squared plus 20 end quantity over 4 is written mathematically as:

$\rightarrow \frac{6x^2 + 20}{4}$

Let us simplify the above expression

Taking 2 as common term,

$\rightarrow \frac{6x^2 + 20}{4} = \frac{2(3x^2 + 10)}{4}\\\\\rightarrow \frac{3x^2 + 10}{2}$

<em><u>Thus the above expression is written as:</u></em>

quantity 3x squared plus 10 end quantity over 2

You might be interested in

two airplanes are flying in the air at the same height: airplane a is flying east at $$ mi/h and airplane b is flying north at $

olga55 [171]

The distance between the airplanes changing is -390.

<h3>Calculation:</h3>

The miles from the airport to Airplane A can be calculated as follows: a = 30 -250t, where t is in hours.

<h3>Similar to airplane A, airplane B's distance from the airport can be expressed as...</h3>

b = 40 -300t

Using the Pythagorean theorem, one can calculate the separation (d) between the aircraft:

d^2 = a^2 + b^2

<h3>Depending on the passage of time, we have...</h3>

2dd' = 2aa' + 2bb', and d' = (aa' + bb')/d.

<h3>The values of its variables at t=0 must be determined in order to determine the numerical value of this</h3>

a = 30 -2500 = 30 a' = -250 b = 40 -3000 = 40 b' = -300

d = √(a²+b²) = √(900+1600) = 50

Then, d' = (30(-250) +40(-300))/50 = -19500/50 = -390

At a speed of 390 miles per hour, the space between the aircraft is closing.

<h3>How far apart are the equation's two planes?</h3>

The distance between the two planes is going to be the square root of six, therefore if we solve for d, multiply both sides of this equation by the square root of six, we obtain six is equal to negative d, or d is equal to negative six.

<h3>How widely apart are commercial airplanes?</h3>

For a commercial airliner, separation will typically be at least 3 miles laterally or 1,000 feet vertically (as stated in the question). The 5 mile rule is applied laterally in the enroute environment, at greater operating speeds over 10,000 feet, depending on the kind of radar and distance from the antennae.

To know more about Distance visit:-

brainly.com/question/15172156

#SPJ4

4 0

1 year ago

Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag,the skirt cost $16,how much

tiny-mole [99]

Answer:

$18.28

Step-by-step explanation:

Step one:

given data

Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag

let the total money be x

so mathematically

x-1/8*x= 16

solve for x

x-x/8= 16

8x-x/8= 16

7x/8=16

cross multiply

7x= 8*16

7x=128

divide both sides by 7

x=128/7

x=$18.28

7 0

2 years ago

The likelihood that Sue makes a free throw in basketball is 73%. The likelihood that she makes a 3-point shot is 0.72. Which is

AleksandrR [38]

Answer:

She is more likely to make a free throw in basketball.

Step-by-step explanation:

This is because 73% is equal to .73 and .72 is equal to 72% so thats more common.

5 0

3 years ago

A closed box has a square base with side length feet and height feet given that the volume of the box is 34 ft.³ express the sur

Deffense [45]

Answer:

$\dfrac{2s^3+136}{s}$

Step-by-step explanation:

Let the side length of the square base =s feet

Let the height of the box = h

Given that the volume of the box = $34$ ft^3$

Volume of the box = $s^2h$

Then:

$s^2h=34$ ft^3\\$Divide both sides by s^2\\h=\dfrac{34}{s^2}$

Surface Area of a Rectangular Prism =2(lb+bh+lh)

Since we have a square base, l=b=s feet

Therefore:

Surface Area of our closed box $= 2(s^2+sh+sh)$

$S$urface Area= 2s^2+4sh\\Recall: h=\dfrac{34}{s^2}\\$Surface Area= 2s^2+4s\left(\dfrac{34}{s^2}\right)\\=2s^2+\dfrac{136}{s}\\$Surface Area in terms of length only=\dfrac{2s^3+136}{s}$

7 0

2 years ago

A positive integer is 1010 more than 2727 times another. their product is 1211712117. find the two integers.

Goshia [24]

1010 + 2727x = y
x*y = 1211712117
x*(1010 + 2727x) = 1211712117
2727x^2 + 1010x - 1211712117 = 0

Here's the nasty part.
In order for this to work, the square root of the quadratic formula must come back with an integer. In fact sqrt (b^2 - 4ac) comes back with
3635568.29 something. which is not a whole number. Either there is an error in the givens or something, but this question is never going to do what you think it will do.

4 0

3 years ago