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4 years ago

What is the simplest form of 3sqrt x^2

Mathematics

1 answer:

motikmotik4 years ago

5 0

Answer:

3|x|

Step-by-step explanation:

√(x^2) = |x|, the positive root. Multiplying this by 3, you get ...

3√(x²) = 3|x|

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Identify the interval where y = x3 + 3x2 - 2x + 4 is decreasing.

VladimirAG [237]

Please be certain to use the symbol "^" to denote exponentiation. Your function y should be written as

y = x^3 + 3x2 - 2x + 4.

Principle: if the derivative of a function is negative on a certain x-interval, the function is decreasing on that interval. Thus, you must differentiate the given function: find dy/dx. Set this dy/dx = to 0 and solve the resulting equation for x. Set up intervals on the # line based upon your solutions.
For example, if x=-1 and x=2, then set up 3 intervals: (-infinity,-1), (-1,2), and (2, infinity). Looking at each interval separately, identify the interval or intervals on which the derivative dy/dx is negative.

This is a critically important skill in calculus and well worth the time and effort required to learn it.

3 0

3 years ago

Help me its hard for me and brainleist because I only have 2 minutes

Delicious77 [7]

Answer:

y=x+14

Step-by-step explanation:

Let us check if this is the answer:

the first numbers in the table are 0 and 14

0 plus 14 equals 14.

Now the next two numbers on the table:

1 plus 14 equals 15

And one more: the third numbers on the table:

2 plus 14 equals 16

-----does this make sense? need more explination? then let me know

8 0

2 years ago

Find the common ratio of the geometric sequence: -320,80,-20,5

Flauer [41]

Answer:

-1/4 if you prefer the answer written as a fraction.

-0.25 is you prefer the answer written as a decimal.

Step-by-step explanation:

Common ratio of a geometric sequence can be found by doing term divided by previous term.

That is you could do:

80/-320

-20/80

5/-20

If all these ratios are not equal, it isn't a geometric sequence and does not have a common ratio.

Let's see what these reduce to:

80/-320=1/-4 =-1/4 or -0.25

-20/80=-1/4 or -0.25

5/-20=1/-4=-1/4 or -0.25

So the common ratio is -0.25 or yo you can write it as -1/4.

3 0

3 years ago

Read 2 more answers

When Amaya bought her car, she financed it and was given a simple

larisa [96]

Answer:

Interest paid $1,650.

Step-by-step explanation:

I=PRT

P= $10,000

R=5.5%= 0.055

T= 3 years

I= (10000)(0.055)(3) = Interest is $1650

7 0

3 years ago

In a two-digit number the tens digit is four less than the units digit. Seven times the tens digit plus five times the units dig

Iteru [2.4K]

The digits of the number are 7 and 3

Step-by-step explanation:

In a two-digit number:

The tens digit is four less than the units digit

Seven times the tens digit plus five times the units digit is equal to 56

We need to find the digits

Assume that the unit digit is x and the ten digit is y

∵ x represents the unit digit

∵ y represents the ten digit

∵ The ten digit is four less than the unit digit

- That means subtract 4 from the unit digit to get the ten digit

∴ y = x - 4 ⇒ (1)

∵ Seven times the tens digit plus five times the units digit is

equal to 56

- That means multiply the ten digit by 7 and the unit digit by

5 and add the two products and equate the sum by 56

∴ 7y + 5x = 56 ⇒ (2)

Now we have a system of equations to solve it

Substitute y in equation (2) by equation (1)

∵ 7(x - 4) + 5x = 56

- Simplify the left hand side

∴ 7x - 28 + 5x = 56

- Add the like terms in the left hand side

∴ 12x - 28 = 56

- Add 28 to both sides

∴ 12x = 84

- Divide both sides by 12

∴ x = 7

- Substitute the value of x in equation (1) to find y

∵ y = 7 - 4

∴ y = 3

∴ The number is 37

The digits of the number are 7 and 3

Learn more:

You can learn more about the system of equation in brainly.com/question/6075514

#LearnwithBrainly

3 0

4 years ago