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3 years ago

What is the first step of solving this equation3(x+2)^2-1=47

Mathematics

2 answers:

svetlana [45]3 years ago

8 0

Answer:

Add anything that is in perenthesis first.

Step-by-step explanation:

vodka [1.7K]3 years ago

3 0

Distribute the 3 to x and 2

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Given. Two pair of values x1=5,y1=4,x2=1,y2=1/2. Calculate the Pythagorean triples associated with each pair?

choli [55]

The so-called pythagorean triple will just be the distance between both points,

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\ \quad \\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 5}} &,&{{ 4}}~) 
% (c,d)
&&(~{{ 1}} &,&{{ \frac{1}{2}}}~)
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}$

$\bf d=\sqrt{(1-5)^2+\left( \frac{1}{2}-4 \right)^2}\implies d=\sqrt{(-4)^2+\left( -\frac{7}{2} \right)^2}
\\\\\\
d=\sqrt{16+\frac{7^2}{2^2}}\implies d=\sqrt{16+\frac{49}{4}}\implies d=\sqrt{\frac{64+49}{4}}
\\\\\\
d=\sqrt{\frac{113}{4}}\implies d=\cfrac{\sqrt{113}}{\sqrt{4}}\implies d=\cfrac{\sqrt{113}}{2}$

5 0

3 years ago

Solve for x. 5x^2 – 45 = 0

mamaluj [8]

5x^2-45=0

*Add 45 to both sides*

5x^2=45

*Divide both sides by 5*

x^2=9

*Take the square root of both sides*

x=+/-9

Hope this helps!!

3 0

4 years ago

Read 2 more answers

For X a binomial random variable with n=5 and p=1/4, answer the following

mash [69]

Recall that for $X\sim\mathrm{Bin}(n,p)$ , i.e. a random variable $X$ following a binomial distribution over $n$ trials and with probability parameter $p$ ,

$\mathbb P(X=x)=f_X(x)=\begin{cases}\dbinom nx p^x(1-p)^{n-x}&\text{for }x\in\{0,1,\ldots,n\}\\\\0&\text{otherwise}\end{cases}$

So you have

$\mathbb P(X=2)=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac34\right)^{5-2}=\dfrac{135}{512}\approx0.26$

$\mathbb P(2\le X\le4)=\displaystyle\sum_{x=2}^4\mathbb P(X=x)$
$=\dbinom52\left(\dfrac14\right)^2\left(1-\dfrac14\right)^{5-2}+\dbinom52\left(\dfrac14\right)^3\left(1-\dfrac14\right)^{5-3}+\dbinom52\left(\dfrac14\right)^4\left(1-\dfrac14\right)^{5-4}$
$=\dfrac{375}{1024}\approx0.37$

The expected value of $X\sim\mathrm{Bin}(n,p)$ is simply $np$ , while the standard deviation is $\sqrt{np(1-p)}$ . In this case, they are $\dfrac54=1.25$ and $\sqrt{\dfrac{15}{16}}\approx0.97$ , respectively.

7 0

3 years ago

Can someeeeeeeeeeeeeeeeone help

Colt1911 [192]

What are you supposed to do for this is there answers?

7 0

4 years ago

Which numbers are a distance of 3 units from 12 on a number line?

vodomira [7]

Answer:

9 and 15

Step-by-step explanation:

9 10 11 12 13 14 15

6 0

3 years ago

What is the first step of solving this equation3(x+2)^2-1=47​

What is the first step of solving this equation3(x+2)^2-1=47