Two points on this line are (-2, 0) and (0, 4). Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').

Thus, the slope of this line is m = rise / run = 4/2 = 2

Using the slope-intercept formula, we get y = mx + b = 2x + b

Let x = -2 and y = 0 to find b: 0 = 2(-2) + b, so b = 4, and the desired equation is then:

y = 2x + 4

6 0

3 years ago

In the Minnesota Northstar Cash Drawing, you pick five different numbers between 1 and 35. What is the probability of picking th

maw [93]

Answer:

$\frac{1}{324632}$ probability of picking the winning combination

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Since the order is not important, the combinations formula is used to solve this question.

Combinations formula:

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

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

Desired outcomes:

The correct five numbers from a set of 5. So

$D = C_{5,5} = \frac{5!}{5!0!} = 1$

Total outcomes:

Five numbers from a set of 35. So

$T = C_{35,5} = \frac{35!}{5!30!} = 324632$

Probability:

$p = \frac{D}{T} = \frac{1}{324632}$

$\frac{1}{324632}$ probability of picking the winning combination

5 0

2 years ago

What are the coefficients in <br> W - 8x + 20y + 6z

aleksklad [387]

Answer:

8, 20 and 6

Step-by-step explanation:

A coefficient is the numerical part of an algebraic term. Example: in the term 2x the coefficient is 2.

3 0

2 years ago

Read 2 more answers

Help please I don’t know how to do this

Mashcka [7]

The correct answer is the last one
(0,-4)

4 0

2 years ago