Simplify (6x2 − 3 + 5x3) − (4x3 − 2x2 − 16).2x3 − x2 + 21
−2x3 + x2 − 21
x3 + 8x2 + 13
−x3 − 8x2 + 13

Answers

Answer 1

Answer: If you would like to simplify (6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16), you can calculate this using the following steps:

(6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16) = 6x^2 − 3 + 5x^3 − 4x^3 + 2x^2 + 16 = x^3 + 8x^2 + 13

The correct result would be x^3 + 8x^2 + 13.

Answer 2

Answer:

Answer:

Simplified form of $(6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$ is $1x^(3)+8x^(2)+13$ .

Step-by-step explanation:

As given the expression

$= (6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$

Now open the bracket

$= 6x^(2)-3+5x^(3)-4x^(3)+2x^(2)+16$

$= 1x^(3)+8x^(2)+13$

Therefore the simplified form of $(6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$ is $1x^(3)+8x^(2)+13$ .

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If the width and length of a rectangle are both increased by 10%, by what percent does the area of the rectangle increase? By what percent does the perimeter of the rectangle increase?

Answers

Answer:

10%

Step-by-step explanation:

We know Perimeter of rectangle

= 2 (Length + Width)

If width and length are increased by 10%

New length= L + 10/100L = (1.1) L

New width = W + 10/100W = (1.1) W

Perimeter = 2 [(1.1) L + (1.1) W]

Perimeter = 2 (1.1) (L + W)

Perimeter = (2.2) (L + W)

Increase in perimeter = 2.2 (L + W) - 2 (L + W)

The increase in Perimeter = 0.2 (L + W)

Percent increase

= 0.2 (L + W)/2 (L + W) × 100

= 0.2/2 × 100

= 0.1 × 100

= 10%

I hope this helped and if it did, please mark as Brainliest.

Final answer:

When the length and width of a rectangle are increased by 10%, the area increases by 21% and the perimeter increases by 10%.

Explanation:

The area of a rectangle is calculated by the formula Length × Width. If both the length and width are increased by 10%, the new area would be 1.1(length) × 1.1(width), which is 1.21(length × width) or 121% of the original area. So the area increases by 21%. The perimeter of a rectangle is calculated by the formula 2(Length + Width). If both the length and width increase by 10%, the new perimeter would be 2(1.1 Length + 1.1 Width) = 2.2 Length + 2.2 Width, which is 110% or 1.1 times the original perimeter. So the perimeter increases by 10% when you increase the length and width by 10%.

Learn more about Increase in Rectangle Dimensions here:

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How do you add degrees, minutes and seconds?

Answers

It isn't easy. You just have to go slowly and keep your wits about you.

-- Add the seconds. If the sum is more than 60, then take 60 off, write what's left
as seconds, and carry 1 minute next door to the minutes.

-- Add the minutes. If the sum is more than 60, then take 60 off, write what's left
as minutes, and carry 1 degree next door to the degrees.

-- Add the degrees.

You can use exactly the same procedure to add hours, minutes, and seconds
of time.

The sum of three decimals is 450.63. What is the third decimal, if two of them are 126.53 and 95.54?

Answers

Answer:

228.56

Step-by-step explanation:

What is the value of x y and z below?

Answers

Answer: Y=76 X=104 Z=104

Step-by-step explanation:

The degree 76 and y are both equal so you add it and it is 152.

Then subtract 360-152 to get 208 and since X and Z are equal you divide and get 104.

Dad is 7 times as old as his son. 10 years later, he will be three times as old as his son.find their ages?

Answers

so dad is represented by x
son is represented by y

so x is (x=) 7 times his son (7y)

our first sentence is x=7y

10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)

so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5

the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15

dad=35
son=5

these are the answers
son = 5
dad= 35

What is 4 1/6 minus 2 5/6