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3 years ago

Solve the inequality

e=" \frac{x+1}{x-8} \leq 0 " alt=" \frac{x+1}{x-8} \leq 0 " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

$D:x\not=8\\
\frac{x+1}{x-8}\leq0\\
(x+1)(x-8)\leq0\\
x\in\langle-1,8\rangle\\\\
x\in\langle-1,8\rangle \wedge x\not=8\\
\boxed{x\in\langle-1,8)}
$

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The value of n in the inequality 3n + 1 < 7 is

Nana76 [90]

Answer:

n<2

Step-by-step explanation:

3n+1 < 7

3n + 1 + (-1) < 7 +(-1)

3n < 6

(3n)/3< 6/3

n < 2

Hope this helps!!!

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3 years ago

Please help!!!

Nonamiya [84]

Answer:

c. $2a^3x^4-3a^3x^3+a^4x^2$

d. $63x^5y^3-30x^2y^4-7x^3y^2$

Step-by-step explanation:

For this exercise you need to remember the following:

1. The multiplication of signs:

$(+)(+)=+\\(-)(-)=+\\(-)(+)=-$

2. The Product of powers property, which states that:

$(a^m)(a^n)=a^{(m+n)}$

3. The Distributive property:

$a(b\±c)=ab\±ac$

Knowing that, you can solve the multiplication of the polynomials:

c. $(-2ax^2+3ax-a^2)(-a^2x^2)=\\\\=(-2ax^2)(-a^2x^2)+(3ax)(-a^2x^2)+(-a^2)(-a^2x^2)=2a^3x^4-3a^3x^3+a^4x^2$

d. $(6.3x^3y-3y^2-0.7x)(10x^2y^2)=\\\\=(6.3x^3y)(10x^2y^2)+(-3y^2)(10x^2y^2)+(-0.7x)(10x^2y^2)=63x^5y^3-30x^2y^4-7x^3y^2$

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3 years ago

If p and q are distinct primes. Find the number of positive divisors of<br> p^2 * q^2

kkurt [141]

Answer:

Step-by-step explanation:

We know that for $p^mq^n$ where p and q are different prime numbers the number of positive divisors are (m+1) (n+!)

We have given $p^2q^2$

So here m=2 and n=2

So number of positive divisors $=(2+1)\times (2+1)$ =9

So the number of positive divisors of $p^2q^2$ is 9

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3 years ago

Read 2 more answers

What is the measurement to the calculation to figure the numbers of pi

AlexFokin [52]

Answer:

There's a lot of them.

There are many different ways to calculate $\pi$ . The ones used by computers to generate tons of digits are usually infinite series.

The series that has been prominent in recent records for the most digits of pi is the Chudnovsky algorithm.

The algorithm is this:

$\frac{1}{\pi}=12\sum_{k=0}^{\infty}\frac{\left(6k\right)!\left(545140134k+13591409\right)}{\left(3k\right)!\left(k!\right)^3\left(640320\right)^{3k+\frac{3}{2}}}$

For faster performance, it can be simplified to this:

$\frac{426880\sqrt{10005}}{\pi}=12\sum_{k=0}^{\infty}\frac{\left(6k\right)!\left(545140134k+13591409\right)}{\left(3k\right)!\left(k!\right)^3\left(-262537412640768000\right)^k}$

Other algorithms have been used, but right now this is the one that is being used to set the recent records.

There are also some approximations that are used because they are very easy to calculate.

first, $\frac{22}{7}$ can be used to calculate a fairly accurate pi, but a better rational approximation is $\frac{355}{113}$ This fraction is actually accurate to 6 digits and it is the best approximation of $\pi$ in simplest form and with a denominator below 30,000.

There are several other approximations and if you want to learn more I would recommend looking at the Wikipedia page which has tons of algorithms for pi.

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3 years ago

What’s equivalent to <br> 24 - 3 · 4 = 2 + 6

r-ruslan [8.4K]

Answer:4 2/7 - 6/7 = 24/

= 3 3/

≅ 3.4285714

Step-by-step explanation:

8 0

2 years ago