Ask question

Ask question

All categories

3 years ago

6

Raul has 4 pairs of shoes to choose from each day. He wants to find the experimental probability of choosing his favorite pair o

f shoes at random. Which simulation should Raul use?

1 answer:

FinnZ [79.3K]3 years ago

8 0

Fractions Or Division I Think

You might be interested in

Which is an equation of the parabola that intersects the x-axis at points (-1, 0) and (3, 0)? Show your work or explain how you

hichkok12 [17]

Answer:

$\displaystyle \large{y=x^2-2x-3}$

Step-by-step explanation:

The given points are (-1,0) and (3,0) to find an equation of parabola. Notice that they say or the given points are x-intercepts, which means they make it easier for us to find an equation of parabola using these x-intercepts.

Quick Note:

x-intercepts are simply the roots or solutions of quadratic equation, so if our root is x = -2 then we can write as (-2,0) and write back to x+2=0.

So what we are going to do is to write the roots’ equation back as $\displaystyle \large{x+\alpha =0}$

Our points or roots are given, therefore:

If x = -1 then x+1=0

If x = 3 then x-3=0

Then multiply x+1 with x-3 because if (x-1)(x+3)=0 then x-1=0 or x+3=0:

$\displaystyle \large{(x+1)(x-3)=0}$

Convert 0 to y since we want to find a function:

$\displaystyle \large{(x+1)(x-3)=y}\\\displaystyle \large{y=(x+1)(x-3)}$

Expand the expressions in and simplify to standard form:

$\displaystyle \large{y=x^2-3x+x-3}\\\displaystyle \large{y=x^2-2x-3}$

Therefore, the equation is $\displaystyle \large{y=x^2-2x-3}$

__________________________________________________________

Summary

If we are given the points $\displaystyle \large{(\alpha ,0)}$ and $\displaystyle \large{(\beta ,0)}$ with wideness of the graph or a-value = 1 then the parabola equation is:

$\displaystyle \large{y=(x-\alpha )(x-\beta )}\\\displaystyle \large{y=x^2-\beta x-\alpha x+\alpha \beta }\\\displaystyle \large{y=x^2-(\beta +\alpha )x+\alpha \beta }$

__________________________________________________________

Others

If you have any doubts about my answer, explanation or this question, do not hesitate to let me know in the comment!

3 0

3 years ago

How do you can you solve this problem 37 + y = 87; y =

Airida [17]

37+y=87
y=87-37
y=50
............................

3 0

3 years ago

Read 2 more answers

How does the graph of f(x) = (x – 8)^3 + 4 compare to the parent function g(x) = x^3?

Ludmilka [50]

Answer:

Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph [g(x) = x^3] transformed 8 units to the right, and transformed 4 units up

Step-by-step explanation:

Recall,

If f(x) is a parent function:

• Horizontal shift: If h is the horizontal shift then f(x+h)) represents a graph which is formed when the parent graph is transformed to left (when h>0) or to right (when h<0))

• Vertical shift: If h is the vertical shift then f(x)+h represents a graph which is formed when the parent graph is transformed to up(when h>0) or to down (when h<0).

Therefore, the graph of f(x) = (x – 8)^3 + 4, is the parent graph transformed 8 units to the right, and transformed 4 units up.

6 0

3 years ago

Justin is 2 years older than one-third Marissa's age Amy is 4 years older than two times Justin's age then find Justin's age and

Lana71 [14]

Yes I am pretty sure

6 0

3 years ago

Read 2 more answers

If the m = and the b = -2. then the linear equation is:

Leto [7]

Hey there! I'm happy to help!

The linear equation with m and b is called the slope intercept equation, where m is the slope and b is the y intercept. It is written as y=mx+b.

We see that m is equal to 1 and b is equal to -2. We can write this down as y=1x-2, or just y=x-2 as 1x is just x.

Have a wonderful day! :D

6 0

3 years ago