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Delvig [45]
3 years ago
10

Solve a / a-1 - a+5/a =0. Enter your solution as an improper fraction or as a decimal rounded to the nearest hundredth

Mathematics
1 answer:
Flauer [41]3 years ago
4 0

Answer: 1\dfrac{1}{4}

Step-by-step explanation:

Given

The equation in terms of a is

\Rightarrow \dfrac{a}{a-1}-\dfrac{a+5}{a}=0\\\\\Rightarrow \dfrac{a}{a-1}=\dfrac{a+5}{a}\\\\\Rightarrow a^2=(a-1)(a+5)\\\\\Rightarrow a^2=a^2+4a-5\\\\ \Rightarrow 4a=5\\\\\Rightarrow a=\dfrac{5}{4}\ \text{or}\ 1\dfrac{1}{4}

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Which statement about the simplified binomial expansion of (a + b)", where n is a positive integer, is true?
Alja [10]

Answer:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

Step-by-step explanation:

The Given question is INCOMPLETE as the statements are not provided.

Now, let us try and solve the given expression here:

The given expression is: (a +b)^n, n > 0

Now, the BINOMIAL EXPANSION is the expansion which  describes the algebraic expansion of powers of a binomial.

Here, (a+b)^n  = \sum_{k=0}^{n}{n \choose k}a^{(n-k)}b^{(k)}

or, on simplification, the terms of the expansion are:

(a+b)^n  ={n \choose 0}a^{(n)}b^{(0)} + {n \choose 1}a^{(n-1)}b^{(1)} + {n \choose 2}a^{(n-2)}b^{(2)} + .....  +{n \choose n}a^{(0)}b^{(n)}

The above statement holds for each  n > 0

Hence, the complete expansion for the given expression is given as above.

4 0
3 years ago
Read 2 more answers
The simplest form of 4√576 is ?
N76 [4]

Answer:

96 or √144

Step-by-step explanation:

Divide 576 by 4 to get 144. There will be no values outside of the square root sign because 4 goes directly into 576 with no remainders.

8 0
3 years ago
Read 2 more answers
2. y = 5x2 + 10x – 3
Mice21 [21]

Answer:

x= -7/10 or x= -0.7 , y= 7

Step-by-step explanation:

Find the x-intercept:                  Find the y-intercept:

y= 5×2+10x-3                                y= 5×2+10x-3  

0=10+10x-3                                    y= 5×2+10×0-3

0=7+10x                                         y= 7

-10x=7

x=-7/10

8 0
3 years ago
Which point is on the graph of f(x)=5^x
borishaifa [10]

Answer:

y=0

Step-by-step explanation:

x           y

-2         0.04

-1           0.2

0          1

1           5

2           25

8 0
3 years ago
Y+4=2(x-1) what would it be from point-slope form to slope-intercept form
Lilit [14]

Answer:

y=2x-6

Step-by-step explanation:

y+4=2(x-1)

Subtract 4 to both sides of the equation:

y+4-4=2(x-1)-4

y=2(x-1)-4

Distribute the 2:

y=2x-2-4

y=2x-6

Where 2 is the slope and -6 is the y - intercept.

4 0
3 years ago
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