The function C(x) = -2x2 + 38x + 40 models the sales, in hundreds of

millions of dollars, of compact discs for years since 1990.

Answers

Answer 1

Question:

Rewrite the function to reveal when sales of compact discs and $0.

Answer:

The cost in 2010 is $0

Step-by-step explanation:

Given

[tex]C(x) = -2x^2 + 38x + 40[/tex]

Required

Find x when [tex]C(x) = 0[/tex]

This gives:

[tex]C(x) = -2x^2 + 38x + 40[/tex]

[tex]-2x^2 + 38x + 40=0[/tex]

Expand

[tex]-2x^2 + 40x -2x+ 40=0[/tex]

Factorize:

[tex]-2x(x - 20) -2(x- 20)=0[/tex]

[tex](-2x - 2)(x- 20)=0[/tex]

Solve for x

[tex]-2x-2=0\ or\ x - 20 = 0[/tex]

[tex]x = -1\ or\ x = 20[/tex]

x represents time.  So, it cannot be negative.

[tex]x = 20[/tex]

20 years after 1990 is: 2010. Hence, the cost in 2010 is $0


Related Questions

If the sin 90º = 1, then which statement is true? ​

Answers

Answer:

cos 0° = 1, because the cosine and sine are complements

Step-by-step explanation:

Here is the formula: sin 0 = cos (90°- 0) or cos 0 = sin (90°- 0)

So it would be: cos 0° = sin (90° - 0°) = sin 90° = 1

Experimental Probability is ___________ .
a . our prediction
b. data from our experiment

Answers

Answer:

b

Step-by-step explanation:

data from our experiment.....

The mean number of words per minute (WPM) typed by a speed typist is 119 with a standard deviation of 15 WPM. What is the probability that the sample mean would differ from the population mean by greater than 4.1 WPM if 33 speed typists are randomly selected? Round your answer to four decimal places.

Answers

Answer:

the probability that the sample mean would differ is 0.1164

Step-by-step explanation:

The computation of the probability is shown below

= 1 - P(Within 4.1 WPM)

= 1 - P( -4.1 ÷ 15÷ √3 <z < 4.1 ÷ 15÷ √3)

= 1 - P(-1.57 < z < 1.57)

= 1 - 0.8836

= 0.1164

Hence, the probability that the sample mean would differ is 0.1164

Therefore the same would be applied and relevant

A college surveys local businesses about the importance of students as customers. The college chooses 150 businesses at
random from telephone listings. Of these, 68 return the questionnaire. The population being studied is:

A. The set of all local businesses

B. The 68 businesses who returned surveys

C. The 150 businesses who were sent surveys

D. All the students at the college

Answers

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

(10-4)²(12+10/2)=_________

Answers

Answer:

should be 612

Step-by-step explanation:

Answer:

(10-4)²(12+10/2)=

(6)²(12+5)=

(36) (17) = 612

Joshua is going to invest $9,000 and leave it in an account for 5 years. Assuming the
interest is compounded continuously, what interest rate, to the nearest tenth of a
percent, would be required in order for Joshua to end up with $12,500?

Answers

Answer:

Step-by-step explanation:

Answer:

6.6%

Step-by-step explanation:

Glenn needs to cut pieces of ribbon that are each 1 meter long to make ribbon key chains. If he has 6 pieces of ribbon that are each 1 dekameter long, how many 1−meter pieces of ribbon can he cut?

Answers

Answer: 60

Step-by-step explanation:

1=10. x6=60

8 ft
Find the area of the figure.

Answers

Answer:

Area of a rectangle is length multiplied by the width. In this case, length is equal to width. So, Area is 8 ft * 8 ft which is 64 ft2.

A right square pyramid has a base area of 200 square inches. Find its volume, if its height is 6 inches.
A. 33 in.
B. 400 in.
C. 3,600 in.
D. 1,200 in.

Answers

Step-by-step explanation:

400 in. is the correct answer

For a pyramid, volume= (1/3) x b x h where

B= base area, and

h= height .

So, volume= (1/3) x (200in^2) x (6in) = 400in^3.

- Chilio

Help me plz! I need help!

Answers

Answer:

function 2

Step-by-step explanation:

i looked at the table, and since t (which is the x-coordinate in this case) was 0, that means that 5.25 is the y-coordinate and is greater than 5 in the first equation.

three line segments have measures of 4 units, 6 units, and 8 units. Will the segments form a triangle?

Answers

Given:

Three line segments have measures of 4 units, 6 units, and 8 units.

To find:

Will the segments form a triangle?

Solution:

We know that three line segments can form a triangle if the sum of two smaller sides is greater than the largest side.

Three line segments have measures of 4 units, 6 units, and 8 units. Here, the measure of the largest sides is 8 units.

The sum of two smaller sides is

[tex]4+6=10[/tex]

[tex]4+6>8[/tex]

Since the sum of two smaller sides is greater than the largest side, therefore the segments will form a triangle.

Solve the following exponential equations

Answers

Answer:

x = 2, y = - 25

Step-by-step explanation:

(1)

note that 36 = 6² , then

[tex]6^{x}[/tex] = 6²

Since bases on both sides are equal then equate the exponents

x = 2

------------------------------------------

(2)

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 25 = 5² , then

[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]

Then

[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]

Since bases on both sides are equal then equate the exponents

22 + 6y = 5y - 3 ( subtract 5y from both sides )

22 + y = - 3 ( subtract 22 from both sides )

y = - 25

HELP PLS YALL HDHDGDUSHSHXHHXXHHXHXBXBXXHDBBDBDBDBDD

Answers

Answer:

with what?

Step-by-step explanation:

Hannah had 30 dollars to spend on 3 gifts. She spent 8 7 10 dollars on gift A and 4 2 5 dollars on gift B. How much money did she have left for gift C? Solve

Answers

Answer: [tex]\$16\dfrac{9}{10}[/tex]

Step-by-step explanation:

Given

Hannah had 30 dollars

Money spent on gift A

[tex]8\ \dfrac{7}{10}=\dfrac{8\times 10+7}{10}=\dfrac{87}{10}[/tex]

money spent on gift B

[tex]4\ \dfrac{2}{5}=\dfrac{22}{5}[/tex]

Money spent on gift C

[tex]\Rightarrow \text{Total-Money spent on (A+B)}\\\\\Rightarrow 30-\dfrac{87}{10}-\dfrac{22}{5}=30-\dfrac{87}{10}-\dfrac{44}{10}\\\\\Rightarrow \dfrac{300-87-44}{10}=\dfrac{169}{10}\\\\\Rightarrow \$16\ \dfrac{9}{10}[/tex]

Please help divide 5 652 to the ratio 2:3:5 I will give brainliesters
thank you in advance​

Answers

Answer:

105

Step-by-step explanation:

(-20+5)(58-65)

(-15)(-7)

105

HELP PLEASE VERY MUCH AND THANK YOU!!! look at screenshot

Answers

Answer:A

Why: Because 3-6 reduces to 1-2

Answer:

They are both correcte

Step-by-step explanation:

Imagine a pizza with 6 slices

Half of 6 slices is 3 slices, or 3/6

If you simplify 3/6, you will get 1/2

So, both fractions are equal, but in different forms.

For better context see images below!

PLEASE HELP ONLY HAVE OME HOUR TO COMPLETE!!!!

Answers

Answer:

Step-by-step explanation:

To be a function x can't repeat with a different y so in a every element of x is mapped to a different y so it is a function.

For choice B, -4 is paired with both 7 and 8 so it is not a function.

Choice C is a function since each x is paired with a different y.

Evaluate x^4.x^2 when x=5

Answers

Answer:

i got u fam!!!!!!!!!!!!!!!

its 15625

Step-by-step explanation:

PLEASE HELPP!!!!
The wingspan of a hawk is the distance from the end of one spread-out wing to the end of the other spread-out wing. A scientist measured the wingspans of a random sample of hawks at a national park. Based on the median wingspan of the sample, the scientist estimates that the median wingspan of all hawks in the national park is 40 inches. Which graph most likely represents the data from the scientist's sample?

Answers

Answer:

D)

Step-by-step explanation:

It looks like the most sense

please and this quickly and no links please

Answers

Answer:

11 months

Step-by-step explanation:

Since he has already read 14 books subtract them from the 80 books. you'll end up with 66. then diviid by 6 and you'll get 11 months

PLEASE HELP FAST!!!!! I’ll mark brainliest

Answers

C is the right answer

What is |6 3/8 - 2| + |-8 5/8 + (-1)|?

Answers

Answer:

14

Step-by-step explanation:

uh yeah I’m this bad at math I need help on number 4

Answers

Answer:

36

Step-by-step explanation:

To find the area of a triangle, multipy the base and height of a triangle, then divide it in half

8x9=72/2=36

Which of the following describes the square root of 41. 5,6 6,7 20,21 40,42

Answers

Answer:

6,7

Step-by-step explanation:

the squre root of 41 is 6.403

If it takes Laine 4 hours to wash the windows, Leslie 5 hours to wash the same windows, and Lance 6 hours to wash the windows, how long would it take them all working together?
.8 hours
6 hours
1.6 hours
3.2 hours

Answers

1/4+1/5+1/6=1/x

LCM = 60

15/60+12/60+10/60=1/x

37/60=1/x

37x=60

x=60/37=1.62, round =1.6

1.6 HOURS

The number of hours they would take them all working together is around 1.6 hours.

What are ratios and proportions?

A ratio is the divide of the two variables and the lower variable known as the denominator should not be zero.

Given that laine takes 4 hours to complete work

In 1 hour Laine will do 1/4 part of the work.

In 1 hour Leslie will do 1/5 part of the work.

In a 1-hour Lance will do 1/6 part of the work.

so let's suppose all done work by x hours then

1/4 + 1/5 + 1/6 = 1/x

x =1.6 so all together done the work by 1.6 hours.

For more information about ratio and proportion.

https://brainly.com/question/26974513

#SPJ5

Find the distance between the points (4,10) and (4, -7)

Answers

Answer:

17

Step-by-step explanation:

Hello There!

Once again we are going to use the distance formula to find the answer

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

This time we need to find the distance between the points (4,10) and (4,-7)

*we plug in the values into the formula)

[tex]d=\sqrt{(4-4)^2+(-7-10)^2} \\4-4=0\\-7-10=17\\d=\sqrt{0^2+(-17)^2} \\0^2=0\\-17^2=289\\\sqrt{289} =17[/tex]

so we can conclude that the distance between the points (4,10) and (4,-7) is 17 units

Please help asap. This is khan acadamy

Answers

Answer:

xr 30 degrees

Step-by-step explanation:

the angles always add up to 180 sooo

53+97=150

180-150=30

there's how u solve these kinds of problems

hope this helps

Help please please pray that you pray

Answers

Answer:

well religion does not work here sorry

Step-by-step explanation:not everyone prays im sorry

Answer:

im confused

Step-by-step explanation:

dont delete this

Does anyone know how to do this because im confused.

Answers

Answer:

no but choose b if u don't know it it usually works for me sorry if I don't help :(

Answer:

y=-3x is the bottom right one

y=4x is the top middle

y=x-3 is the top right one

Step-by-step explanation:

X^2-2(x+5)
Help me PLSSS

Answers

Answer:

hope this helpss

Step-by-step explanation:

Answer:

Step-by-step explanation:

if you have to simplify it then distribute -2

x²-2(x+5)=x²-2x-10

if problem is as mentioned by other answerer,then

[tex]\frac{d}{dx} (x^2-2(x+5))=-2\\x^2-2x-10= \int (-2dx)+c\\x^2-2x-10=-2x+c\\x^2=c+10\\x=\pm \sqrt{c+10}[/tex]

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