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3 years ago

Is f(x) = 2x – 3 a function

Mathematics

1 answer:

vesna_86 [32]3 years ago

3 0

Answer: yes

Step-by-step explanation:

If you graph the function on desmos or a graphing calculator, you will see that it passes the vertical line test.

The graph is a function when no one x value has two y values, this is why we use the vertical line text to see if the graph is a function.

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Please help me because I don't understand how to do it.:)

shutvik [7]

Answer:

y= 1/3 x +5

Step-by-step explanation:

To find the slope, we take two points

(0,5) and (15,10)

The slope is found by the formula

m = (y2-y1)/ (x2-x1)

= (10-5)/(15-0)

= 5/15

= 1/3

The slope is 1/3

The y intercept is found when x=0

When x=0 y=5

The slope intercept form of the line is

y=mx+b where m is the slope and b is the y intercept

y= 1/3 x +5

3 0

3 years ago

What is 0.28 and 2.65 as a fraction in simplest form? explain

Oksanka [162]

28/100=14/50=7/25 &the second one 2=200/100 so 200/100+65/100=265/100

265/100=53/20

5 0

2 years ago

Read 2 more answers

1. Determine whether or not each of the following is a Binomial random variable. If it is not a Binomial random variable, provid

satela [25.4K]

Answer:

a) You roll a die 25 times. Let X be the number of times that you roll "3".

* Is a Binomial

b) The SJSU football team will play 12 games next season. They have a 70% chance of winning each conference game and a 60% chance of winning each nonconference game. Let X be the number of games the SJSU football team wins next season.

* Not a Binomial because probability of success is not constant

c) Evelyn has a 75% chance of getting an A in each class she takes. Let X be the number of times Evelyn earns an A during four years at SJSU.

* Is a Binomial

8 0

3 years ago

Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1

alexandr1967 [171]

Answer:

$a) \simeq 0.3012$ $b) \simeq 0.0494$ c) $\simeq 0.2438$

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, $\frac{1.2}{4}$

= 0.3 collisions per month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

P(X =x) = $\frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}
$

for x ∈ N ∪ {0}

= 0 otherwise --------------------------------------(1)

here, $\lambda = 0.3$ collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

P(X = 0) = $\frac{e^{-0.3}\times {\0.3}^{0}}{0!}
$

$\simeq 0.7408182207$ ------------------------------------(2)

Now, since we are calculating this for 4 months,

so, P(No collision in 4 month period)

= $0.7408182207^{4}$

$\simeq 0.3012$ -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

P(X =1) = $\frac{e^{-0.3}\times {\0.3}^{1}}{1!}
$

$\simeq 0.2222454662$ ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

= $0.2222454662^{2}$

$\simeq 0.0494$ -----------------------------------------(5)

1 collision in 6 months period means

$\frac{1}{6}$ collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6] (which is to be estimated)

= $\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}$

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

$\simeq 0.6543894283$ -------------------------------------------(6)

So,

P(1 collision in 6 month period)

= $0.6543894283^{6}$

$\simeq 0.0785267444$ ------------------------------------------------(7)

So,

P(No collision in 6 months period)

= $(P(X =0)^{6}$

$\simeq 0.1652988882$ ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

$\simeq 0.2438$ ---------------------------------------------(9)

7 0

3 years ago

50 POINTS!!!!!!!

stira [4]

Answer:

For this transition of equations, the graph of g(x) will be translated left 2 units with respect to the graph of f(x), so your answer choice will be A.

Step-by-step explanation:

In this equation, g(x) is changed by adding 2 and closing part of the equation in parenthases, this results in the translation 2 units left, which can be proven by a graph and my answer.

3 0

2 years ago