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Ksenya-84 [330]
2 years ago
7

What is the difference b/w "Binomial Series" and "Binomial Theorem"? Also give formula for each.

Mathematics
1 answer:
horrorfan [7]2 years ago
8 0

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

The binomial theorem states that for some a,b∈R and some k ∈Z+ ,

(a+b)k=∑n=0k(kn)ak−nbn.

The binomial series allows us to use the binomial theorem for instances when k is not a positive integer. The binomial series applies to a given function f(x)=(1+x)k for any k∈R with the condition that |x|<1 . It is stated as follows:

(1+x)k=∑n=0∞(kn)xn .

Note that the binomial theorem produces a finite sum and the binomial series produces an infinite sum.

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I'm I right?????? because i think i am
Ilya [14]

\sqrt{3x+10}=\sqrt{2x+3}\\\\\\\dfrac{\sqrt{3x+10}}{\sqrt{2x+3}}=1\\\\\\\sqrt{\dfrac{3x+10}{2x+3}}=1\\\\\\\dfrac{3x+10}{2x+3}=1\\\\\\3x+10 =2x+3\\\\x = -7

7 0
2 years ago
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Find an ordered pair , x y that is a solution to the equation. 3x-y=1
NemiM [27]

Answer:

2,5

Step-by-step explanation:

2,5 is just one of the many solutions to this problem. you can just take a random number for x, for example 2. your equation will look like this 3(2)-y=1. now you just solve for y. 3x2=6. 6-1=5. so y=5.

3 0
3 years ago
The wheels on Darlene's car have on 11-inch radius. If the wheels are rotating at a rate of 378 rpm, find the linear speed in mi
elena-s [515]

Answer:

The linear speed in which Darlene is traveling is 24.74 miles per hour.

Step-by-step explanation:

The wheel experiments rolling, which is a combination of translation and rotation. The point where linear speed happens is located at geometrical center of the wheel and instantaneous center of rotation is located at the point of contact between wheel and ground. The linear speed (v), measured in inches per second, is defined by following expression:

v = R\cdot \omega (1)

Where:

R - Radius of the wheel, measured in inches.

\omega - Angular speed, measured in radians per second.

If we know that R = 11\,in and \omega \approx 39.584\,\frac{rad}{s}, then the linear speed, measured in miles per hour, in which Darlene is traveling is:

v = 11\,in\times \frac{1\,mi}{63360\,in} \times 39.584\,\frac{rad}{s}\times \frac{3600\,s}{h}

v \approx 24.74\,\frac{mi}{h}

The linear speed in which Darlene is traveling is 24.74 miles per hour.

8 0
3 years ago
Solve. x2 + 14 = 9x A) x = 2, x = 7 B) x = 3, x = 5 C) x = −2, x = −7 D) x = −3, x = −5
chubhunter [2.5K]

Answer:

A) x = 2, x = 7

Step-by-step explanation:

x^2 + 14 = 9x

Subtract 9x from each side

x^2-9x + 14 = 9x-9x

x^2-9x + 14 = 0

What 2 numbers multiply to 14 and add to -9

-7*-2 = 14

-7+-2 = -9

(x-7)(x-2) = 0

Using the zero product property

x-7 = 0   x-2 =0

x=7   x=2

7 0
3 years ago
A salesperson sells $2200 in merchandise and earns a commission of $286.
Elza [17]

Answer:

13%

Step-by-step explanation:

Commission rate = commission / value sold

= 286/2200

= 13%

8 0
3 years ago
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