All categories

3 years ago

(2x - 1) + (-6 / x - 1) please help

Mathematics

1 answer:

Lelechka [254]3 years ago

8 0

Simplify the expression.
2
x
−
6
x
−
2

You might be interested in

What is the coefficient of the x^5y^5- term in the biomial expansion of (2x-3y)^10

jasenka [17]

<u>Answer:</u>

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

<u>Solution: </u>

The given expression is $(2 x-3 y)^{10}$

As per binomial theorem, we know,

$(x+y)^{n}=\sum n C_{k} x^{n-k} y^{k}$

Now here a = 2x, b = (- 3y) and n = 10 and k = 0,1,2,….10

Now $x^{5}\times y^5$ will be the 6 term where k =5

Now, $\mathrm{T}_{6}=10 \mathrm{C}_{5} \times(2 \mathrm{x})^{(10-5)} \times(-3 \mathrm{y})^{5}=10 \mathrm{C}_{5} 2^{5} \times \mathrm{x}^{5} \times(-3)^{5} \times \mathrm{y}^{5}$

So, the coefficient of $x^{5} \times y^{5} \text { is }=10\left(5 \times 2^{5} \times(-3)^{5}\right$ .

$10 \mathrm{C}_{5}=\frac{10 !}{5 ! \times(10-5) !}=\frac{10 !}{5 !+5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 !}{5 ! \times 5 !}=\frac{10 \times 9 \times 8 \times 7 \times 6}{5 \times 4 \times 3 \times 2 \times 1}=\left(\frac{30240}{120}\right)=252$

The coefficient of $x^{5} \times y^{5} \text { is }=\left(252 \times 2^{5} \times(-3)^{5}\right)=252 \times 32 \times 243=1959552$

6 0

4 years ago

What is the rate in feet per second? 10 feet 16 seconds

Ierofanga [76]

Feet
_____
second

10 feet
________
16 second

equals

.625 feet per second

7 0

3 years ago

A baby eats 8 oz. of formula in 15 min.at this rate,how much formula can the baby eat in 2 hours

Readme [11.4K]

Answer:

The Answer is: 64 oz.

Step-by-step explanation:

Convert 2 hours to minutes and then by 15 minutes:

(2 * 60) / 15 =

120 / 15 = 8

Multiply 8 time 8 = 64 oz.

4 0

3 years ago

What is the exponential function property of domain?

bearhunter [10]

Answer:

The domain of exponential functions is all real numbers. The range is all real numbers greater than zero. The line y = 0 is a horizontal asymptote for all exponential functions. When a > 1: as x increases, the exponential function increases, and as x decreases, the function decreases.

5 0

3 years ago

If Maria drew her paintings on a 1 inch grid paper,how many squares would te painting cover?

lesya692 [45]

Is there any multiple choices if so can i see them

7 0

3 years ago