M

Find the equation of the line parallel to y=2x+6 passing through (4,5)

ozzi

Answer:

y=2x-3

when two lines are parallel, they have the same slope.

in the formula y=mx+b, m=slope of the line

we know 2 will be the slope for the line passing through (4,5)

next plug in (4,5) into the formula with 2 as the slope

4=x 5=y

next 5=2(4)+b

and you end up with

y=2x-3 when you simplify

3 0

3 years ago

If a function has a verticale asymptote at a certain x-value, then the function is at the value

stiks02 [169]

Answer:

We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

Step-by-step explanation:

If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

For example, let the function

$f\left(x\right)\:=\frac{x+3}{x-3}$

It is clear that the given function becomes undefined at x = 3 in the denominator.

i.e. 3-3 = 0

It means, the function can not have x = 3, otherwise, the function will become undefined.

In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.

Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.

8 0

2 years ago

Mr. Martin and his son are planning a fishing trip to Alaska. The rates of two companies are shown.

Mumz [18]

Answer:

Part A) Fisherman's Service will provide a better deal for a three days trip as it will cost $480 compare to the Wild Fishing Inc.'s deal that costs around 550$

Part B) Wild Fishing's Inc. would charge $700 for 6 days for both of them.

Part C) Let w be expression for Wild Fishing Inc. to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.

w = 2(200) + 2n(25) = 400 + 50n

Let f be expression for Fisherman's Service to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.

f = 2(150) + 2n(30) = 300 + 60n

Step-by-step explanation:

Part (A) Which company offers a better deal for a three day trip for Mr. Martin and his son? What will be the cost?

The rate offered by Wild Fishing Inc:

Round Trip Flight $200 / Daily Rate $25

The rate offered by Fisherman's Service:

Round Trip Flight $150 / Daily Rate $30

Analyzing Wild Fishing Inc. Offer for a three day trip

As Mr. Martin and his son are planning a fishing trip to Alaska.

Expenses cost for Mr. Martin and his son if they chose Wild Fishing Inc

The formula to calculate Mr Martin expenses for 3 day trip:

Round trip Cost + 3 (Daily rate) ⇒ 200 + 3 (25) = $275.......[A]

The formula to calculate Mr Martin's son expenses for 3 day trip:

Round trip Cost + 3 (Daily rate) ⇒ 200 + 3 (25) = $275.......[B]

Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Wild Fishing Inc. deal:

Net expense faced by Mr. Martin and his son: 275 + 275 = 550$

So, Wild Fishing Inc. will cost 550$ to both Mr. Martin and his son.

Analyzing Fisherman's Service Offer for a three day trip

As Mr. Martin and his son are planning a fishing trip to Alaska.

Expenses cost for Mr. Martin and his son if they chose Fisherman's Service

The formula to calculate Mr Martin expenses for 3 day trip:

Round trip Cost + 3 (Daily rate) ⇒ 150 + 3 (30) = $240.......[A]

The formula to calculate Mr Martin's son expenses for 3 day trip:

Round trip Cost + 3 (Daily rate) ⇒ 150 + 3 (30) = $240.......[B]

Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Fisherman's Service deal:

Net expense faced by Mr. Martin and his son: 240 + 240 = 480$

So, Fisherman's Service will cost 480$ to both Mr. Martin and his son.

Choosing the right company that offers a better 3 days deal:

As we have determined that

Wild Fishing Inc. will cost 550$ to both Mr. Martin and his son.
Fisherman's Service will cost 480$ to both Mr. Martin and his son.

Therefore, Fisherman's Service will provide a better deal for a three days trip as it will cost $480 compare to the Wild Fishing Inc.'s deal that costs around 550$.

Part (B) Which company would charge $700 for 6 days for both of them?

Checking Wild Fishing Inc. expenses for 6 days trip:

The formula to calculate Mr Martin expenses for 6 day trip:

Round trip Cost + 6 (Daily rate) ⇒ 200 + 6 (25) = $350.......[A]

The formula to calculate Mr Martin's son expenses for 3 day trip:

Round trip Cost + 6 (Daily rate) ⇒ 200 + 6 (25) = $350.......[B]

Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Wild Fishing Inc. deal for 6 days:

Net expense faced by Mr. Martin and his son: $350 + $350 = 700$

Checking Fisherman's expenses for 6 days trip:

The formula to calculate Mr Martin expenses for 6 day trip:

Round trip Cost + 6 (Daily rate) ⇒ 150 + 6 (30) = $330.......[A]

The formula to calculate Mr Martin's son expenses for 3 day trip:

Round trip Cost + 6 (Daily rate) ⇒ 150 + 6 (30) = $330.......[B]

Adding Equation [A] and [B] will bring the net expense faced by Mr. Martin and his son if they chose to get Fisherman's Service deal for 6 days:

Net expense faced by Mr. Martin and his son: $330 + $330 = 680$

So, Wild Fishing's Inc. would charge $700 for 6 days for both of them.

Part (C) Write an expression to represent the cost of the trip for Mr. Martin and his son for each company.

Expression for Wild Inc.

Let w be expression for Wild Fishing Inc. to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.

w = 2 (Round trip Cost) + 2n (Daily rate)

As Round trip costs $200 and $25 is the daily rate for Wild Fishing Inc.

So, w can be written as:

w = 2(200) + 2n(25) = 400 + 50n

Expression for Wild Inc.

Let f be expression for Fisherman's Service to represent the cost of the trip for both Mr. Martin and his son for n number of days trip.

f = 2 (Round trip Cost) + 2n (Daily rate)

As Round trip costs $150 and $30 is the daily rate for Fisherma''s Service.

So, w can be written as:

f = 2(150) + 2n(30) = 300 + 60n

Keywords: cost, expenses, deal

Learn more about word problem from brainly.com/question/13060938

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8 0

3 years ago

Gitta is asked to find the probability of getting all heads on 3 coin tosses. This is a compound event.

DedPeter [7]

1. P(getting all head)= $\frac{n(getting-all-head)}{n(Sample-space)}$

2. Event: getting all head can happen in only one way: HHH

3. n(Sample space) can be calculated by

a. counting, a good ways to organize counting is drawing a tree diagram, CHECK THE PICTURE

or
b. There are 2 possible outcomes each time we throw the dice so 2*2*2=8 is the total number of outcomes, that is the number of the sample space.

4. So finally P(getting all head)= $\frac{1}{8}$

3 0

3 years ago

Read 2 more answers

Each of the 8 cats in a pet store was weighed. Here are their weights (in pounds):

kow [346]

Step-by-step explanation: The mean of a data set is equal to the sum of the set of numbers divided by how many numbers are in the set.

To find the mean of the data set shown here, let's begin by adding the numbers.

11 + 10 + 12 + 14 + 5 + 15 + 7 + 6 = 80

80 will now be divided by how many numbers are in the set which is 8.

80 ÷ 8 = 10

This means that the mean of the data set is 10.

___________________________________________________

Now, let's find the median of the data set. The median is the middle number in the data set when the data set is written from least to greatest.

Least to greatest ⇒ 5, 6, 7, 10, 11, 12, 14, 15

Since there are two numbers in the middle of the data set, we need to add the two numbers that are in the middle and divide the sum of the numbers by 2 since there are two numbers.

The two numbers in the middle are 10 and 11.

10 + 11 = 21

21 ÷ 2 = 11.5

Therefore, 11.5 the median of the data set.

5 0

3 years ago