The equation below model the numbers of two portable music players (y) and days after both players were introduced (x).
Music player A: y=191x-32 and music player B: y=-x^2+200x+20
1.on what day(s) did the company sell the same number of each player ?
2.how many players were sold on THAT day (use your answer from #1)

Answers

Answer 1

Answer:

a. On the 13th day

b. 2,451 players we’re sold on that day

Step-by-step explanation:

a. The day in which the company sold the same number of players can be calculated by equating the values of y that we have ;

y = 191x-32 and y = -x^2 + 200x + 20

Equating both, we have;

191x-32 = -x^2 + 200x + 20

x^2 -200x + 191x-20-32 = 0

x^2-9x-52 = 0

x^2-13x + 4x -52 = 0

x(x-13)+4(x-13) = 0

(x-13)(x+4) = 0

x = 13 or -4

as days cannot be negative we choose only x = 13

This means the company sold equal numbers of players on the 13th day

b. To get the number of players sold on that day, we choose any of the y equation and substitute x = 13

Thus, we have for y = 191x -32; 191(13) - 32 = 2,451 players


Related Questions

Can someone help me thank you

Answers

Answer:

The first Graph

Step-by-step explanation:

-2a-5>3

Add 5 to both sides

-2a>8

Divide both sides by 2

a<4

Answer:

top graph

Step-by-step explanation:

-2a - 5> 3

Add 5 to each side

-2a -5+5>3+5

-2a > 8

Divide each side by -2, remembering to flip the inequality

-2a/-2 < 8/-2

a < -4

There is an open circle at 4 ( since there is no equals)

The line goes to the left since it is less than

sum is the answer to what type of problem​

Answers

The answer will be Addition Problem

4. There are 10 cheerleading squads performing in a competition. The
order of the performances is determined at random. What is the
probability that your squad performs first and your friend's squad performs
second?​

Answers

Answer:

0.011 or 1/90

Step-by-step explanation:

Since the order of the performances is determined at random the probability of each squad is constant that 1/10

The probability of your squad is 1/10

Given that the first selected was yours (1/10) nine squads are left . Therefore the probability of your friends squad is 1/9.

Hence  the probability that your squad performs first and your friend's squad performs second is (1/10 * 1/9) 1/90 or 0.011

There are 300 packets of 1 kg of sugar in a container. A) How many kg are 3 5 of the total amount? B) How much money will be raised from the sale of the 3 5 of the total amount, if the price of each package is 2'5 euros?

Answers

Answer:

A) 180 packets

B) €450

Step-by-step explanation:

A) There are 300 packets of 1 kg of sugar in a container.

3/5 of the total amount is:

3 / 5 * 300 = 180 packets

B) Each packet goes for €2.50.

3/5 of the total amount is 180 packets, therefore, 180 packets will go for:

2.5 * 180 = €450

. Makayla walks for exercise. She wants to walk a total of 6 miles. On Monday, she walked 2 ⅚ miles. On Tuesday, she walked 1 ⅓ miles. How many more miles does Makayla need to walk to reach her goal?

Answers

Answer:

1 ⅚ miles.

Step-by-step explanation:

Makayla wants to walk 6 miles. Since she has walked 4 1/6 miles (2 5/6 miles + 1 1/3 miles), you subtract this from 6 and you will get your answer.

Explain how you could write a quadratic function in
factored for that would have a veres with an
coordinate of 3 and two distinct roots,
Answer : the vertex lies on the axis of symmetry, so the axis of symmetry is x=3. Find any two x-intercepts that are equal distances from the axis of symmetry. Use those x-intercepts to write factors of the function by subtracting their values from x. For example, 2 and 4 are each 1 unit from x=3, so f(x)=(x-2) (-4) is a possible function.

Answers

Answer:

Step-by-step explanation:

The vertex lies on the axis of symmetry, so the axis of symmetry is x=3.  This is correct.  

Note that the second half of this problem has already been answered correctly.  The axis of symmetry is precisely halfway between the two roots and has equation x = 3 in the case of x = 2 and x = 4.

Correct answers only please!

To the nearest cent, how much interest will she earn in 5 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

$ 15,262.76

Step-by-step explanation:

A = P + I where

P (principal) = $ 7,927.00

I (interest) = $ 7,335.76

7. The jib sail of a yacht is
a right triangle that is
attached to the mast
and the prow. The
sail is 15 m high,
and the mast is
4 m from the
prow. How
long is the
forestay?

Answers

Answer:

Pytagora's Theorem

Step-by-step explanation

a = 4 m

b = 15 m

c = ?

a^2 + b^2 = c^2

√ a^2 + b^2 = c

a^2 = 16 m

b^2 = 225 m

√  16 + 225 = c

√  241 = 15.52 m

c = 15.52 m

I hope I was helpful

kamari opens a bank account with 250 five weeks her account balances 800 what was the average rate of change of her account balance in dollars per week

Answers

The answer is an average rate of change of 110 more dollars in her account per week. You find this by first subtracting the starting amount of 250 from the end amount of 800 that equals 550. then you divide that number by five, the number of weeks, to get the average rate of change.

This is the question

Answers

Answer:

[tex]=\left(9a-8\right)\left(a+1\right)[/tex]

Step-by-step explanation:

[tex]9a^2+a-8\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(9a^2-8a\right)+\left(9a-8\right)\\\mathrm{Factor\:out\:}a\mathrm{\:from\:}9a^2-8a\mathrm{:\quad }a\left(9a-8\right)\\9a^2-8a\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\a^2=aa\\=9aa-8a\\\mathrm{Factor\:out\:common\:term\:}a\\=a\left(9a-8\right)\\=a\left(9a-8\right)+\left(9a-8\right)\\\mathrm{Factor\:out\:common\:term\:}9a-8\\=\left(9a-8\right)\left(a+1\right)[/tex]

So the right answer is (9a-8)(a+1)

Look at the attached picture

Hope it will help you

Can someone help me on this question please

Answers

Answer:

option A is the correct answer

To repair a roof that is 16 feet high, Mr. Ayala leans a 20-foot ladder against the side of the
building. To reach the roof, how far away from the building should he place the base of the
ladder?
1

Answers

The answer would be x=12

Answer:

12

Step-by-step explanation:

20 is the hypotenuse and 16 is the leg, first solve 20^2 (20x20) to get 400 and 16^2 (16x16) to get 256, then subtract the leg from the hypotenuse to obtain 144 (400 - 256) then obtain the square root of 144 ([tex]\sqrt{144}[/tex]) then 12 will be the awnser.

Use the graphing calculator to graph the parent function.

f(x) = log(x)


Add the translated function.


f(x) = log (x-h) + k



Plug in different values of h and k to answer the following questions.


What happens when h is positive?



What happens when h is negative?



What happens when k is positive?




What happens when k is negative?

Answers

Answer:

What happens when h is positive?

The asymptote of the graph shifts right by that amount.

What happens when h is negative?

The asymptote of the graph shifts left by that amount.

What happens when k is positive?

The entire graph shifts up by that amount.

What happens when k is negative?

The entire graph shifts down by that amount.

Answer:

answer is verified

1.)c

2.)d

3.)a

4.)b

Step-by-step explanation:

what will the height of the new cones be?

Answers

Answer:

1.5

Step-by-step explanation:

You have the same volume which is 24pi. You divide 24 by 16 and get 1.5

50:19

All else being equal, if you cut the sample size in half, how does this affect the margin of error when using the sample to make a

statistical inference about the mean of the normally distributed population from which it was drawn?

ME.

The margin of error is multiplied by /05

The margin of error is multiplied by 12

The margin of error is multiplied by 05,

The margin of error is multiplied by 2.

Save and Exit

Answers

Answer:

The margin of error is multiplied by 1.41, which is 1 divided by the square root of 5.

Step-by-step explanation:

The margin of error is:

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The margin of error is inverse proportional to the square root of the sample size.

Then

Sample size n:

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

Modified(half the sample size):

[tex]M_{M} = z*\frac{\sigma}{\sqrt{0.5n}}[/tex]

Ratio

[tex]\frac{M_{M}}{M} = \frac{z*\frac{\sigma}{\sqrt{0.5n}}}{z*\frac{\sigma}{\sqrt{n}}} = \frac{\sqrt{n}}{\sqrt{0.5n}} = \frac{\sqrt{n}}{\sqrt{0.5}*\sqrt{n}} = \frac{1}{\sqrt{0.5}} = 1.41[/tex]

The margin of error is multiplied by 1.41, which is 1 divided by the square root of 5.

Use a sum identity to find the exact value of sin 285. Use your keyboard and the keypad to enter your answer. Then click Done
sin285=

Answers

Answer:

the sin of 285 is 0.77387

Step-by-step explanation:

Answer:

negtive square root of 2 minus square root of 6, over 4

Step-by-step explanation:

plato

How many tablespoons would you need if a recipe called for 1 ½ cups of flour?

Answers

Answer:

You can add 4 tablespoons

Step-by-step explanation:

If you add 4 tablespoons the 1 1/2 cups of flour will blend in with the tablespoons making a circle like figure.

Answer:

24

Step-by-step explanation:

1 cup is 16 tablespoons

16+8=24

help me please, i need help in math

Answers

Answer:

22 inches

Step-by-step explanation:

The longest stick that will fit in the box will be equal to the length of diagonal of the box.

Length of diagonal is given as:

[tex]d = \sqrt{ {l}^{2} + {w}^{2} + {h}^{2} } \\ = \sqrt{ {20}^{2} + {6}^{2} + {6}^{2} } \\ = \sqrt{ 400 + 36 + 36} \\ = \sqrt{472} \\ = 21.725561 \\ = 22 \: inches[/tex]

need help ASAP!!!! needs explanation as well

Answers

Answer:

1. The rocket was launched from a height of 180 feet.

=> Valid because at time = 0 sec, height = 180 feet (as shown in table)

2.The maximum height of the rocket occurred 3 seconds after launch.

=> Valid because at time = 3 sec, height = 324 feet (greatest value in second row of table).

3.The rocket was in the air approximately 6 sec before hitting ground.

=> Not valid because the time in table in about 7 sec (from 0 to 7), but all of the heights are greater than 0 (the rocket has not hit the ground yet).

4. The rocket was above 300 feet for approximately 2 seconds.

=> Valid because from sec 2 to sec 4: the height is greater than 300 (308, 324, and 308)

=> Option 3 is not valid.

Hope this helps!

:)

Please help me ASAP. Need to hand in by today ​

Answers

Answer:

Ans:50

Step-by-step explanation:

Because in that part of the triangle equals 180 so 180-67-63=50

Hopefully this is right and it helped:)

Help with math work!!!

Answers

Answer: 22.4 m/s

Step-by-step explanation:

Average speed can be calculated using the following formula:

Speed = [tex]\frac{Distance}{Time}[/tex]

Speed = 560m/25 seconds

speed = 22.4 m/s

6+0 plz help me so hard​

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME???

Answers

Answer:

I would say m

Step-by-step explanation:

Its not h because the amount of hotdogs eaten depends on the amount of minutes.  Its not b.  Its not c since 2 is a constant.  m is the answer

what is the volume of a cylinder with a diameter of 10 ft and a height of 6 ft

Answers

Answer:

471 ft^3

Step-by-step explanation:

The volume of a cylinder is given by

The radius is d/2 = 10/2 = 5

C = pi r^2 h

   = 3.14 * 5^2 * 6

  471

43 milk jugs are in a fridge with 11 that are spoiled. 5 jugs are randomly selected. what are the odds that the first two are good and the last three are spoiled?​

Answers

Answer:

0.85% probability that the first two are good and the last three are spoiled

Step-by-step explanation:

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

The order in which the first two jugs is not important, as is not the order in which the last three are selected. So we use the combinations formula to solve this question.

Combinations formula:

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

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

2 spoiled, from a set of 43-11 = 32.

3 spoiled, from a set of 11.

So

[tex]D = C_{32,2}*C_{11,3} = \frac{32!}{2!(32-2)!}*\frac{11!}{3!(11-3)!} = 982080[/tex]

Total outcomes:

5 jugs from a set of 43.

[tex]T = C_{43,5} = \frac{43!}{5!(43-5)!} = 115511760[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{982080}{115511760} = 0.0085[/tex]

0.85% probability that the first two are good and the last three are spoiled

W sklepie spożywczym jest 11,73 kg cukierków czekoladowych. Pierwszy klient kupił 48 dag cukierków. Drugi klient kupił 4/5 pozostałej ilości. Resztę cukierków, w równych ilościach, kupiło trzech ostatnich klientów. Po ile cukierków czekoladowych dostali ostatni klienci?

Answers

Answer:

The last costumers got 2.25 kilograms of chocolate candies.

Step-by-step explanation:

The question is

There is 11.73 kg of chocolate candies in the grocery store. The first customer bought 48 dag of candies. A second customer bought 4/5 of the remaining quantity. The last three customers bought the same amount of candy. How much chocolate did the last customers get?

Givens

The total amount of chocolate candies is 11.73 kilograms.First costumer bought 48 dag of candies. (1 kg equals 100 dags)Second costumer bougth 4/5 of the remaining.Another three costumers bought the same amount of candy.

Let's transform 48 dag to kilograms.

[tex]48dag \times \frac{1kg}{100dag}= 0.48 \ kg[/tex]

Therefore, the first costumer bought 0.48 kilograms of candies.

The remaining amount is: [tex]11.73kg-0.48kg=11.25kg[/tex]

Now, we need to multiply the remaining amount of candies with 4/5

[tex]\frac{4}{5} \times 11.25kg=9 \ kg[/tex]

Therefore, the second costumer bought 9 kilograms of chocolate candies.

At last, we need to find the new remaining part of candies, which is

[tex]11.25-9=2.25 \ kg[/tex]

Therefore, the last costumers got 2.25 kilograms of chocolate candies.

PLZZZ HELP :( ASAPP
Suppose you observe the color of socks worn by students in your class: 12 have white, four have black, three have blue, and one has red. Find P(black or red) as a fraction in simplest form.

A. 3/20 B. 1/4 C. 1/3 D. 1/5









Answers

Answer:

i think its 4 simplified from 4/1

Step-by-step explanation:

Answer:

B. 1/4

Step-by-step explanation:

There are a total of 20 students

4 have black and 1 has red. In total 5

5/20

If you simplify by dividing both numbers by 5 it becomes

1/4

y−3=2(x+1)
What is the solution (-1,_)

Answers

Answer:

(-1,3)

Step-by-step explanation:

hello :

y−3=2(x+1)

if x= -1       y-3 = 2(-1+1)

y-3=0   so : y=3

(-1,3)

MATH

If 66 = 2, 99 = 2, 888 = 6, 00 = 2, 7777 = 0, 667= 2, 276 = 1, 833 = 2, then what does 2876 equal?

Answers

Answer:

the answer is 3

Step-by-step explanation:

in the number 66 there are "2" circles in them and so the answer we get 2

in the number 99 there are "2" circles and so the answer there is 2

in the number 888 there are "6" circles so the answer is 6

in the number 00 there are "2" circles that's the answer

in the number 7777 there are no circles so the answer is 0

we keep on going like that......

in the number 2876 there are 3 circles 2 in the number 8 and 1 in the number 6

hope this helped :D

Answer:

3

Step-by-step explanation:

Work out the perimeter of the shaded shape.

Answers

I do believe it is 63 no completely sure tho
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