All categories

4 years ago

Questions are in the image please help

Mathematics

1 answer:

julsineya [31]4 years ago

7 0

For the first one use the slope formula: $m= \frac{ y_{2}- y_{1} }{ x_{2}- x_{1} }$
So for you that would look like this: $m= \frac{-4+1}{-2-7}= \frac{-3}{-9}= \frac{1}{3}$
For number 2, in order for a slope to be 0, it has to be a completely horizontal line with no steepness whatsoever. That can ONLY happen with lines that are "y=some constant with no x". So that answer has to be y = -5. For that last one, we have to use the slope-intercept form of a line and use the point they give us along with the slope to find the y-intercept, or the "b". That looks like this for us: $\frac{5}{6}=1(0)+b$ so b= 5/6. So our equation, fitting the slope and y intercept back in, gives us $y=x+ \frac{5}{6}$

You might be interested in

Evaluate sec(-4π/3).<br><br> -2<br> - 2√3 divided by 3<br><br> 2<br> 2√3 divided by 3

sveticcg [70]

sec((-(4 * pi)) / 3 radians) = -2

Please mark brainliest!

7 0

3 years ago

Select the correct answer.

natulia [17]

Answer:

Step-by-step explanation:

just think about it :

can it move up or down ? no, because for a specific input value still the same functional result is calculated (nothing is getting bigger or smaller).

all that is happening that way is that now, with using g(x), the original f(x) functional values happen now 2 units "later" = to the right (if you consider the x-axis a time line growing to the right). we are getting the functional value of f(x-2) at x and not at x-2 for g(x).

for example

the functional values are for x² (just some integers to make it easier) :

x = 1, 2, 3, 4, 5, ...

getting

f(1), f(2), f(3), f(4), f(5), ...

leading to

1², 2², 3² 4², 5², ...

which is

1, 4, 9, 16, 25, ...

now, let's say we start looking at x = 3

x = 3, 4, 5, 6, 7, ...

getting

g(3), g(4), g(5), g(6), g(7), ..

leading to

1², 2², 3² 4², 5², ...

which is

1, 4, 9, 16, 25, ...

so, now we are getting the functional value at e.g. x = 5 that we got originally for x = 3 (9).

therefore, under g(x) the original functional values still "happen", they just simply "happen" 2 units "later" (to the right).

in the same way

g(x) = f(x+2) moves everything 2 units to the left (now things are happening "earlier").

8 0

2 years ago

Determine Which Number in the set below that are integers ???? {-15, 24 ,5/8 , 4.5, -6.25} A) {-15, 24} B) {-15, 24 ,5/8, 4.5, -

ratelena [41]

The answer to this question is B

7 0

3 years ago

A dozen cookies costs $1.24. How much does 2 1/2 dozen cost?

Kisachek [45]

Answer:

2 1/2 dozen = $3.10

Step-by-step explanation:

1 dozen = 1.24

2.5 dozen = ?

2.5 × 1.24 = $3.1

4 0

3 years ago

Read 2 more answers

Two socks are selected at random from a draw of loose socks- there are 4 green socks and 6 yellow socks

lara [203]

Using the hypergeometric distribution, it is found that there is a 0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.

<h3>What is the hypergeometric distribution formula?</h3>

The formula is:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

In this problem, we have that the values of the parameters are:

N = 10, k = 4, n = 2.

The probability that both are green is P(X = 2), hence:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,10,2,4) = \frac{C_{4,2}C_{6,0}}{C_{10,2}} = 0.1333$

0.1333 = 13.33% probability that two of the socks will both be green if the socks are drawn without replacement.

More can be learned about the hypergeometric distribution at brainly.com/question/24826394

#SPJ1

4 0

2 years ago