The function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched. The number of subscribers to a competitor's website can be modeled by a linear function. The websites have the same number of subscribers on Days 1 and 34. a. Write a linear function that models the number of subscribers to the competitor's website.

Answers

Answer 1

Answer:

[tex]y = 30x+290[/tex]

Step-by-step explanation:

Given

[tex]y=-x^2+65x+256[/tex]

Required

The linear function of a competitor's website

On day 1, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =1[/tex]

[tex]y=-(1)^2+65*1+256[/tex]

[tex]y=-1+65+256[/tex]

[tex]y=320[/tex]

This implies:

[tex](x_1,y_1) = (1,320)[/tex]

On day 34, both websites have the same subscribers.

This implies that:

[tex]y=-x^2+65x+256[/tex]

Substitute: [tex]x =34[/tex]

[tex]y=-(34)^2+65*34+256[/tex]

[tex]y=-1156+2210+256[/tex]

[tex]y=1310[/tex]

This implies:

[tex](x_2,y_2) = (34,1310)[/tex]

To calculate the linear function of the competitor, we have:

[tex](x_1,y_1) = (1,320)[/tex]

[tex](x_2,y_2) = (34,1310)[/tex]

Calculate slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{1310 - 320}{34-1}[/tex]

[tex]m = \frac{990}{33}[/tex]

[tex]m = 30[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y = 30 * (x - 1) + 320[/tex]

Open bracket

[tex]y = 30x - 30 + 320[/tex]

[tex]y = 30x+290[/tex] --- This represents the linear function of the competitor's website

Answer 2

The  linear function of the competitor's website is represented by y=30x-290.

We have given that,the function y=-x^2+65x+256 models the number y of subscribers to a website, where x is the number of days since the website launched.

We have to find the linear function of a competitor's website.

For the day 1, both websites have the same subscribers.

This implies that

[tex]y=-x^2+65x+256[/tex]

x represent the value of day

so plug x=1 we get

[tex]y=(-1)^2+65+256[/tex]

[tex]y=-1+65+256\\y=320[/tex]

Therefore we get the point

[tex](x_1,y_1)=(1,320)[/tex]

On day 34, both websites have the same subscribers.

[tex]y=-x^2+65x+256[/tex]

x=34

[tex]y=-(34)^2+65\times 34+256[/tex]

[tex]y=-1156+2210+256\\y=1310[/tex]

[tex](x_2,y_2)=(34,1310)[/tex]

What is the slope point form?

[tex](y_2-y_1)=m(x_2-x_1)[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{1310-320}{34-1} \\m=\frac{990}{33} \\m=30[/tex]

Now slope point form is

[tex]y-y_1=m(x-x_1)[/tex]

Theefore we get

[tex]y=30(x-1)+320[/tex]

[tex]y=30x-290[/tex]

Therefore, the linear function of the competitor's website is represented by y=30x-290.

To learn more about the linear model visit:

https://brainly.com/question/25987747


Related Questions

20 POINTS ILL GIVE BRAINLY TO THE FISRT ANSWER:
Find the requested composition of functions.
Given f(x) = 5x + 12 and g(x) = 4x -1, find f ° g(x)

Answers

Answer:

(f  ° g)(x) = 20x + 7

Step-by-step explanation:

(f  ° g)(x) = f(g(x)) = 5(4x - 1) + 12 = 20x - 5 + 12 = 20x + 7

Volume of a hexagonal prism with a base side length of 2 inches and a height of 8 inches, the prism is regular. Also it would be a big help if you could calculate the lateral area and the total area. Thanks so much

Answers

Answer:

V≈83.14

AL=96

Surface A≈116.78

Base A≈10.39

Step-by-step explanation:

Step-by-step explanation:

base area of hexagonal prism =

6× ½×(2)(2)× sin 60° (regular prism)

= 12×½√3 = 6√3 sq. inches

Volume = base are x height

= 6√3 x 8 = 48√3 cu. inches

or 83.14 cu. inches

the lateral area = 6 × (2×8) = 96 sq. inches

total area = 2×(6√3) + 96

= (123 + 96) sq. inches

or 116.78 sq. inches

need help plz will give brainy not sure if i got it right

Answers

Answer:

Neither triangle

Step-by-step explanation:

Define an irrational number that cannot be written as a fraction (denominator of 1 or 0 does are excluded).

Both triangles are good examples of common Pythagorean triples.

The Pythagorean theorem states that for any right triangle, the following is true:

[tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are two legs of the triangle and [tex]c[/tex] is the hypotenuse.

Using this theorem we can solve for the hypotenuse of both triangles:

Triangle 1:

[tex]3^2+4^2=h^2,\\h^2=25,\\h=5\:\text{(rational)}[/tex]

Triangle 2:

[tex]0.5^2+1.2^2=h^2,\\h^2=1.69,\\h=1.3\:\text{(rational)}[/tex]

 Please answer correctly !!!!Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Hello! Your answer would be, C)

Step-by-step explanation:

Hope I helped! Ask me anything if you have more questions! Have a nice mourning! Brainiest plz! Hope you make an 100%! -Amelia♥

How do you do this???


Given tan Ф = 4/5, find all other trig functions.

Answers

let : y = Opponent side, x= Adjecent side

and r= hypotenuse

tan = 4/5

y/x = 4/5 => y =4, x=5

so, r = √4²+5²=√16+25=√41

sin = y/r = 4/ √41

cos = x/r = 5/√41

tan = y/x = 4/5

csc = r/y = √41 /4

sec = r/x = √41 /5

cot = x/y = 5/4

pls help
The distance from the Earth to the Sun is approximately 93,000,000 miles. What is this distance expressed in scientific notation? Answer options with 5 options A. 9.3 times 10 Superscript 6 Baseline miles B. 9.3 times 10 Superscript 7 Baseline miles C. 9.3 times 10 Superscript 8 Baseline miles D. 93 times 10 Superscript 6 Baseline miles E. 93 times 10 Superscript 7 Baseline miles

Answers

Answer:

B. 9.3 x 10^7

Step-by-step explanation:

9.<3<0<0<0<0<0<0.

Move the decimal point until there is only one whole number left.

I WILL GIVE BRIANLIEST TO THE FIRST PERSON TO ANSWER 13,14,15 AND EXTRA POINTS

Answers

Answer:

Hello! answers:

Question 13: 12

Question 14: 18

Question 15: 15

Hope that helps!

For question 13 I found the answer by doing 6 ÷ 2 and 6 ÷ 2 = 3 so I know that 4 will be enlarged by 3 so 4 × 3 = 12 so 12 is the answer for 13

For question 14 I found the answer by using 1 of the sides so I did 24 ÷ 16 and 24 ÷ 16 = 1.5 and 1.5 × 12 = 18 so the answer is 18

For question 15 I did the same thing!

25 ÷ 20 = 1.25 and 1.25 × 12 = 15 so 15 is the answer Hope that helps!

I need help so bad and really fast

Answers

Answer:

a) False

b) True

c) False

d) True

e) True

Step-by-step explanation:

Receiving
Financial Aid
Not Receiving Total
Financial Aid
3898 8120
Undergraduates
4222
Graduates
1879
731
2610
Total
6101
4629
10730
What is the probability that a given student is a
graduate, given that he or she is on financial aid?
Rounded to the nearest percent, [? ]%
Enter

Answers

Answer: 30.8%

Step-by-step explanation:

Given

Total students receiving financial aid are 6101

Students who are graduate and receiving financial aid are 1879

Probability is the ratio of the favorable and total outcomes

So, the probability is  given by

[tex]P=\dfrac{1879}{6101}\\\\P=0.307\ \text{or}\ 30.8\%[/tex]

Answer:

31%

Step-by-step explanation:

The same directions as the answer above, but make sure to round up 30.8% to 31%!

I have acellus too and I've already checked the answer, it's correct. I hope this helps!

Malik randomly picked two different numbers from 1 to 9. The first one was odd. What is the probability that Malik picked a second odd number given that the first number was odd?

Answers

Answer:

The probability that the second number is odd is 50%.

Step-by-step explanation:

Given that Malik randomly picked two different numbers from 1 to 9, and the first one was odd, to determine what is the probability that Malik picked a second odd number given that the first number was odd, the following calculation must be performed:

Odd numbers = 1 - 3 - 5 - 7 - 9 = 5 odd numbers

Even numbers = 2 - 4 - 6 - 8 = 4 even numbers

4/8 = 0.5 x 100 = 50%

Therefore, if from 1 to 9 an odd number was obtained, 8 numbers remain, of which 4 are odd. Therefore, the probability that the second number is odd is 50%.

Answer:

The answer for plato is 2/9

Step-by-step explanation:

What is the probability that the sum of the two numbers Malik picks is less than 5, given that the first number is odd and less than 5?

p and q are both prime numbers.

They are each less than 22

Give an example where p+q is odd but not prime.

You must only write the two numbers in the answer box.

0

Answers

Answer:

p = 2

q = 7

..................

The two numbers are,

⇒ p = 13 and q = 2

What are Prime numbers?

Prime number is a whole number greater than 1 whose only factors are 1 and itself.

Here, p and q are both prime numbers and each less than 22.

Now, Both number p and q are prime numbers.

Let p = 13 and q = 2

Clearly, The number 13 and 2 both are prime numbers and less than 22.

Hence, p + q = 13 + 2 = 15

Since, 15 is an odd number but not prime.

So, The two numbers are,

p = 13 and q = 2

Learn more about the prime numbers visit:

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I don’t know which one is correct.
A) a=80
b=100

B) a=60
b=120

C) a=70
b=110

D) a=72
b= 108
Please help thank you

Answers

Answer:

Your right the answer is B a=60 , b=120

A ratio of 1:2 just means one value is twice that of the other.

Answer:

B (a=60, b=120)

Step-by-step explanation:

1. m∠AOB = 180°

2. Since the ratio of a to b is 1:2, set the measure of a as x, and the measure of b as 2x.

3. a+b = 180, so x+2x = 180, 3x = 180, x = 60

4. x = a, so if x=60, then a = 60

5. if b=2x, then b = 2a, which is 2*60 = 120

Hope this helps

The profit P, in millions, of Company A is given by the equation P=7.5x +17, where x is the number of years in business. The profit P, in millions, of Company B is given by the equation P=4.1x +12. Write a polynomial equation to give the "difference" in profit D after x years.

Answers

Answer:

The polynomial equation to give the difference in profit D after x years is:

D = 3.4x + 5

Step-by-step explanation:

To obtain the difference in profit between the Companies A and B you can subtract the equation of company B to the equation of company A:

Profit Company A = 7.5x +17Profit Company B = 4.1x +12Difference between profits (D) = 7.5x +17 - (4.1x + 12)

And we operate:

D = 7.5x + 17 - 4.1x - 12D = 7.5x - 4.1x + 17 - 12D = 3.4x + 5

We can prove the obtained equation selecting a number of years to operate the profit equations, for example, we're gonna suppose the number of years is 3 (x = 3), we replace the formulas of profits:

Profit Company A = 7.5x +17Profit Company A = 7.5 * (3) +17Profit Company A = 22.5 +17Profit Company A = 39.5 millions

Profit Company B = 4.1x + 12Profit Company B = 4.1 * (3) + 12Profit Company B = 12.3 +12Profit Company B = 24.3 millions

Now, we subtract the two values:

Difference between profits = 39.5 millions - 24.3 millionsDifference between profits = 15.2 millions.

At last, using our equation with the same number of years, the calculation must give us the same value (15.2 millions):

D = 3.4x + 5D = 3.4 (3) + 5D = 10.2 + 5D = 15.2

As you can see, the polynomial equation D = 3.4x + 5 is the correct to identify the difference in profit between the Companies A and B.

Answer:

D=0.5x+2

$7000000

Step-by-step explanation:

How many ways can 6 students stand in a line if there are 10 children to choose from?

Answers

Answer:

Around 720.

Step-by-step explanation:

Ok so I need help bc I don’t pay attention to class

Answers

First lets find out how much sugar was needed

1/4=1/4=2/4

2/4+1/6=6/12+2/12=8/12

8/12 simplified=2/3

2/3 of the sugar is needed

3/4-2/3=9/12-8/12=1/12

1/12 of the sugar was left

(2.4x10^3)+(5.7x10^2)

what is the value

Answers

Answer: 2970

Step-by-step explanation:

First, you do the first exponent in the first part which is 10^3 and the answer for that is 1000. Then you do 2.4x1000 which is 2400. Afterwards you do the second part's exponent which is 10^2 and you get 100 for that. Next, you do 5.7x100 which is 570. Finally you add 2400+570 and get 2970.

Answer:

Step-by-step explanation:

(2.4 x 10³) + (5.7 x 10²)

(2.4 x 1000) + (5.7 x 100)

2400 + 570

2970

I don’t understand it please help

Answers

Answer:

Simple! Just plug in each x value into the equation above. Or, you could just plug the equation into a graphing calculator and find the point from there.

Step-by-step explanation:

f(3) = 16

f(4) = 21

f(5) = 26

f(8) = 41

Please do mark as brainliest. Hope this helps! :)

The mass, m, of a lorry is 9.23 tonnes rounded to 2 decimal places.
Write the error interval for m​

Answers

Answer:

9.225 < x [tex]\leq[/tex] 9.235

Step-by-step explanation:

a person travelled 9 hours a day what percentage of the day was spent on this journey​

Answers

Answer:

37.5%

Step-by-step explanation:

one day has 24 hours

100%->24

1%->0.24

9÷0.24 = 37.5%

Answer:

37.5%

Step-by-step explanation:

Hours he spent = 9

Total hours= 24

Percenag = 9/ 24 x 100 = 37.5%

I hope im right1

What inequality does the number line graph
represent?

Answers

Answer:

-4

-4 and so on

Multiply (2.3 x 10^-5) (3.1 x 10^12

Answers

Answer:

71300000

Step-by-step explanation:

See the image below:)

Using the digits 0 through 9 at most one time fill in the boxes to make the sum of the interior angles of a triangle

Answers

Answer:

fucififif8tdufifydjvkzhckgkf

Q6. The diagram shows two similar solids, A and B.
Solid A has a volume of 80 cm.
(a)
Work out the volume of solid B.

Answers

Answer:

640cm³

Step-by-step explanation:

Length SF = ×2

Volume SF = ×2³ = ×8

Volume of B = 8 × 80 = 640cm³

The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.

What is the volume?

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The diagram shows two similar solids, A and B. Solid A has a volume of 80 cm³.

The scale factor is given as,

Scale factor = 8 / 4

Scale factor = 2

The scale factor of the volume is given as,

⇒ 2³

⇒ 8

Then the volume of the solid B will be given as,

Volume of B = 8 x 80

Volume of B = 640 cm³

The volume of the scale factor is 8. Then the volume of the solid B will be 640 cm³.

More about the volume link is given below.

https://brainly.com/question/1578538

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Identify any outliers of the data set. Then determine the effect that the outlier has on the mean.

25, 29, 58, 27, 23, 26, 27, 25, 28, 24

Answers

Answer:

58

Step-by-step explanation:

It is going to be 58 because that is the more "random" number. It is does not fit with the rest of your numbers.

Answer:

the outlier is 58. it skews the data

Step-by-step explanation:

????? Plz help b^2 = 28

Answers

Answer:

5.291502622

Step-by-step explanation:

If you put 28 into a calculator and put it under a square root (√28) the answer is 5.291501622, or 5.3. If you want to check it, square the 5.3 and 28 should be the answer

what is the value of 8 in 293,581

Answers

is it a decimal ? or a whole number ?

if it is a decimal , the value is 8 tenths

if it’s a whole number , the value is 8 tens

hope this helped

20 points help me plzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

D. 4,   B. 4,   C. 8

Step-by-step explanation:

The data are centered around 4; the plot is pretty evenly spread out around the center, 4 miles.  (The actual average is 3.88.)

The most number of miles run (look for tallest column of dots) is 4.

The number of people who ran is 8 (count the dots above the 5-mile label).

please help to solve this ​

Answers

Answer:

☥ [tex] \underline{ \underline{ \red{\large{\tt{S \: O \: L \: U \: T \: I \: O \: N}}}}} : [/tex]

Let Cost Price ( CP ) be x

☃ [tex] \large{ \tt{MP = x + 30\% \: of \: x}}[/tex]

➝ [tex] \large{ \tt{x + \frac{30}{100}x }}[/tex]

➝ [tex] \large{ \tt{x + 0.3x }}[/tex]

➝ [tex] \large{ \tt{1.3x}}[/tex]

☂ [tex] \large{ \tt{SP = 1.3x - 15\% \: of \: 1.3x}}[/tex]

⇾ [tex] \large{ \tt{1.3x - \frac{15}{100} \times 1.3x}}[/tex]

⇾ [tex] \large{ \tt{1.3x - 0.195x}}[/tex]

⇾ [tex] \large{ \tt{1.105x}}[/tex]

☼ [tex] \large{ \tt{Profit = SP - CP}}[/tex]

⟶ [tex] \large{ \tt{1.105x - x}}[/tex]

⟶ [tex] \large{ \tt{0.105x}}[/tex]

♨ [tex] \large{ \tt{P\% = \frac{Profit}{CP} \times 100 \%}}[/tex]

⤑ [tex] \large{ \tt{ \frac{0.105x}{x} \times 100\%}}[/tex]

⤑ [tex] \boxed{ \large{ \purple{\tt{10.5\%}}}}[/tex]

Hence , Profit % = 10.5 %

♕ Hope I helped ! ♡

☄ Have a wonderful day / night ! ♫

✎ [tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Item 2
Mia has $7 worth of quarters.

How many quarters does Mia have?


4 quarters

7 quarters

14 quarters

28 quarters

Answers

28 Quarters 7 times 4 = 28 Quarters

Jeanie sells M&Ms out of her giant bag at 4 for 5 cents. The machine at the store sells you 9 for 25 cents. which is the better deal for you?​

Answers

Answer:

drip

Step-by-step explanation:

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