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3 years ago

Can function notations be simplified?

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

3 0

Step-by-step explanation:

it's not same but u can find your answer through it

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An object is spinning around a circle at a rate of 420 revolutions per minute. If the circle has a diameter of 8 feet, what is i

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

This seems more like a physics questions, but i'll help you :P

the circle is 8 feet across or a radius of 4 feet

circumference of the circle is 2 $\pi$ r = 25.132741 feet

it's going around 420 times a minute

420 * 25.132741 = 10555.75132 feet per minute

10,555.75

7 0

3 years ago

1. Hannah gives clues about her 6 digit secret number:

Ulleksa [173]

1. This is a rule which helps a person identify if a number is divisible by nine.
There is no specific answer to why this is observed but I believe that is just how multiples of nine and three behave!

It is the same with the multiples of three as well!

By the way the 6 digit number could be 513315
thanks, hope that helps!!

8 0

3 years ago

Find an m > 0 such that the the equation x^4−(3m+2)x^2+m^2=0 has four real solutions that form an arithmetic sequence.

Aleonysh [2.5K]

Answer:

The value of m is 6.

Step-by-step explanation:

Here, the given equation,

$x^4-(3m+2)x^2+m^2=0$

$x^4+0x^3-(3m+2)x^2+0x+m^2=0$

Let the roots of the equation are a-3b, a-b, a+b and a + 3b, ( they must be form an AP )

Thus, we can write,

$a-3b+a-b+a+b+a+3b=\frac{\text{coefficient of }x^3}{\text{coefficient of }x^4}$

$=\frac{0}{1}=0$

$\implies a=0----(1)$

$(-3b)(-b)+(-b)(b)+(b)(3b)+(3b)(-3b)+(-b)(3b)+(-3b)(b)=\frac{\text{coefficient of }x^2}{\text{coefficient of }x^4}}$

$=\frac{-3m-2}{1}$

$3b^2-b^2+3b^2-9b^2-3b^2-3b^2=-3m-2$

$-10b^2=-3m-2$

$\implies b^2=\frac{3m+2}{10}-----(2)$

$(-3b)(-b)(b)(3b)=\frac{\text{Constant term}}{\text{coefficient of}x^4}= m^2$

$9b^4=m^2$

$9(\frac{3m+2}{10})^2=m^2$

$9(\frac{9m^2+4+12m}{100})=m^2$

$81m^2+36+108m=100m^2$

$-19m^2+108m+36=0$

$19m^2-108m-36=0$

$19m^2-114m+6m-36=0$

$19m(m-6)+6(m-6)=0$

$(19m+6)(m-6)=0$

$\implies m=-\frac{6}{19}\text{ or }m=6$

But m > 0,

Hence, the value of m is 6.

4 0

3 years ago

Whats equivalent to 14(8−6x+12)

iren2701 [21]

We can use the distributive property to set up an expression that is equal to this problem.

14 times 8 is 112
14 times -6 is -84x
14 times 12 is 168
(If you don't know the distributive property ask and I can explain it)

We can combine that together to get:

112 +168 -84x
Or, condense it further:

280-84x is equivalent to 14(8-6x+12)

8 0

3 years ago

Read 2 more answers

Just want to check to make sure this is right. I got 81 as the average so D seemed right.

sergiy2304 [10]

Im not 100% sure but im pretty sure you are right brother! God bless...Good luck!

6 0

3 years ago