What is the sum, in lowest terms?

The Knicks and Nets have a total 30 players.

Blababa [14]

Answer:

Step-by-step explanation:

From the problem statement, we can set up the following two equations:

$K + N = 30$

$20K + 10N = 500$

where $K$ is the number of Knicks players, and $N$ is the number of Nets players.

We can substitute the first equation into the second and solve for $K$

$K + N = 30$

$N = 30 - K$

$20K + 10N = 500$

$20K + 10(30 - K) = 500$

$20K + 300 - 10K = 500$

$10K + 300 = 500$

$10K = 200$

$K = 20$

5 0

3 years ago

GCF for 44 77 210 126

alexgriva [62]

The GCF for 44, 77,210, and 126 is 1 . I know this because other than one they have none of the same factors that go into each of the numbers.

Hope this helps!! Please rate em the brainliest answer!!!

5 0

3 years ago

Graph the equation (please hurry)

IrinaVladis [17]

I have attached the graph!

$\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}$

Here are some details about the equation and the graph!

Details of equation ⤵️

The equation is written in slope-intercept form.
The slope of the line is 0.5.
The y-intercept is 1.

Details of graph ⤵️

Root = (2,0)
Domain = x∈R
Range = y∈R
Vertical intercept = (0,1)

3 0

3 years ago

2x^2+3x-2, a=0 How do I find the derivative?

Ghella [55]

You can use the definition:

$\displaystyle f'(x) = \lim_{h\to0}\frac{f(x+h)-f(x)}h$

Then if

$f(x) = 2x^2+3x-2$

we have

$f(x+h) = 2(x+h)^2+3(x+h) - 2 = 2x^2 + 4xh+2h^2+3x+3h-2$

Then the derivative is

$\displaystyle f'(x) = \lim_{h\to0}\frac{(2x^2+4xh+2h^2+3x+3h-2)-(2x^2+3x-2)}h \\\\ f'(x) = \lim_{h\to0}\frac{4xh+2h^2+3h}h \\\\ f'(x) = \lim_{h\to0}(4x+2h+3) = \boxed{4x+3}$

I'm guessing the second part of the question asks you to find the tangent line to f(x) at the point a = 0. The slope of the tangent line to this point is

$f'(0) = 4(0) + 3 = 3$

and when a = 0, we have f(a) = f (0) = -2, so the graph of f(x) passes through the point (0, -2).

Use the point-slope formula to get the equation of the tangent line:

y - (-2) = 3 (x - 0)

y + 2 = 3x

y = 3x - 2

5 0

3 years ago

According to a study conducted by the Toronto-based social media analytics firm Sysomos, of all tweets get no reaction. That is,

Svetllana [295]

Answer:

a) E(X) = 71

b) V(X) = 20.59

Sigma = 4.538

Step-by-step explanation:

The question is incomplete:

According to a 2010 study conducted by the Toronto-based social media analytics firm Sysomos, 71% of all tweets get no reaction. That is, these are tweets that are not replied to or retweeted (Sysomos website, January 5, 2015).

Suppose we randomly select 100 tweets.

a) What is the expected number of these tweets with no reaction?

b) What are the variance and standard deviation for the number of these tweets with no reaction?

This can be modeled with the binomial distribution, with sample size n=100 and p=0.71, as the probability of no reaction for each individual tweet.

The expected number of these tweets with no reaction can be calcualted as the mean of the binomial random variable with these parameters:

$E(X)=n\cdot p=100\cdot 0.71=71$

The variance for the number of these tweets with no reaction can be calculated as the variance of the binomial distribution:

$V(X)=np(1-p)=100\cdot0.71\cdot0.29=20.59$

Then, the standard deviation becomes:

$\sigma=\sqrt{V(X}=\sqrt{20.59}=4.538$

5 0

3 years ago