A line includes the points (4,5) and (1,-4). what is its equation in slope-intercept form

Is the following a function? (2,5),(-9,5), (1,8), (3,2), (-2,1)? A.yes B.no

ohaa [14]

Answer:

Yes

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

40 POINTS

mixer [17]

Answer:

2

Step-by-step explanation:

Linear equation form: y = mx + b

(where m is the slope and b is the y-intercept)

The rate of change for a line is the slope.

Function 1: y = 6

⇒ the slope is zero so the rate of change is zero

Function 2: y = 2x + 7

⇒ the slope is 2 so the rate of change is 2

Therefore, 2 - 0 = 2

So the rate of change of function 2 is 2 more than the rate of change of function 1

6 0

2 years ago

3x+y+z=4 2x+2y+3z=3 X+3y+2z=5

zhenek [66]

1) 3x+y+z=4
2) 2x+2y+3z=3
3) x+3y+2z = 5

1)*2 6x + 2y + 2z = 8
2) 2x + 2y +3z = 3
- __________________
4x - z = 5

2)*3 6x + 6y + 9z = 9
3)*2 2x + 6y + 4z = 10
- __________________
4x+5z =-1

4x+5z = -1
4x - z =5
- ________
6z = -6
z = -1

If z=-1,

4x -(-1) =5
4x = 5-1
x = 4/4
x=1

3x+y+z=4
3(1)+y+(-1)=4
3+y-1=4
y=2

So z=-1, x=1, y=2

6 0

2 years ago

Consider the number pattern -6, -11, -16, -21..... Which term of the pattern =-401?

steposvetlana [31]

Answer:

First get the formula for your pattern in the form of TN. Where d represents your difference and a represents your first term. Then equate the -401 to your formula and solve for n

7 0

2 years ago

Not all visitors to a certain company's website are customers. In fact, the website administrator estimates that about 5% of all

Gnom [1K]

Answer:

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

Step-by-step explanation:

For each visitor of the website, there are only two possible outcomes. Either they are looking for the website, or they are not. The probability of a customer being looking for the website is independent of other customers. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

5% of all visitors to the website are looking for other websites.

So 100 - 5 = 95% are looking for the website, which means that $p = 0.95$

Find the probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

This is P(X = 2) when n = 4. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = x) = C_{4,2}.(0.95)^{2}.(0.05)^{2} = 0.0135$

0.0135 = 1.35% probability that, in a random sample of 4 visitors to the website, exactly 2 actually are looking for the website.

5 0

2 years ago