Name the two solutions of (2x – 1)^2 = 25.

Answer:

-5/3

Step-By-Step-Solution:

Reciprocal of-3/8 = -8/3

Product = 5/8 × -8/3 = -5/3

Hope that this helps!

Answer:

Thomas is 20 years old

Step-by-step explanation:

33 - 13 = 20

This question is incomplete, the complete question is;

Your company is planning to air a number of television commercials during a television network's presentation of the an awards show. The network is charging your company $1.9 million per 30-second spot. Additional fixed costs (development and personnel costs) amount to $500,000, and the network has agreed to provide a discount of $160,000√x for x television spots.  

Required:

Write down the cost function C, marginal cost function C’, and average cost function

Answer:

- The  the cost function is 500,000 + 1,900,000x - 160,000√x

- the marginal cost function is 1,900,000 - (80000 /√x  )

- The  average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Step-by-step explanation:

Given the data in the question;

cost per spot = $1.9 million

Additional cost =  $500,000

discount = $160,000√x

 Let C(x) represent the cost ;

Cost x television spot = cost per spot × Number pf spots

Cost x television spot = $1.9 million × x

Cost x television spot = $1,900,000x

Now, the television set total cost will be;

C(x) = television cost + additional cost - discount  

C(x) = 500,000 + 1,900,000x - 160,000√x

Therefore, The  the cost function is 500,000 + 1,900,000x - 160,000√x

Marginal Cost Function;

Cost function C(x) = 500,000 + 1,900,000x - 160,000√x

we differentiate with respect to x

C'(x) = d/dx( 500,000 + 1,900,000x - 160,000√x )

= d/dx( 500000 ) + 1,900,000d/dx -160,000 d/d( √x )

= 0+ 1,900,000(1) -160,000( 1 / 2√x )

= 1,900,000 - (160,000 / 2√x  )

= 1,900,000 - (80000 /√x  )

Therefore, the marginal cost function is 1,900,000 - (80000 /√x  )

Average cost function;

Average cost function = C(x) / x

we substitute

Average cost function = [500,000 + 1,900,000x - 160,000√x] / x

=  [500,000 / x ] + [1,900,000x / x ]  - [ 160,000√x / x ]

=  [ 500,000 / x ] + 1,900,000 - [ 160,000√x / x ]

=  1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

Therefore, The average cost function is 1,900,000 + [ 500,000 / x ] - [ 160,000 / √x ]

================================================

Explanation:

I'll be using the formula

[tex]_n C _r = \frac{n!}{r!*(n-r)!}[/tex]

which is the nCr combination formula. We use nCr instead of nPr because the order of coasters doesn't matter. The whole time, the value of n stays fixed at n = 17 which is the total number of coasters to pick from.

While n is constant, the value of r will vary. It ranges from r = 15 to r = 17 inclusive of both endpoints. In other words, r will take on values from the set {15,16,17}. So we have three cases to consider. The r value is how many coasters we select. This is due to the "at least 15" which means "15 or more".

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

If you ride r = 15 coasters, then we have the following number of combinations

[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{17} C _{15} = \frac{17!}{15!*(17-15)!}\\\\_{17} C _{15} = \frac{17!}{15!*2!}\\\\_{17} C _{15} = \frac{17*16*15!}{15!*2!}\\\\_{17} C _{15} = \frac{17*16}{2!}\\\\_{17} C _{15} = \frac{17*16}{2*1}\\\\_{17} C _{15} = \frac{272}{2}\\\\_{17} C _{15} = 136\\\\[/tex]

There are 136 ways to ride exactly 15 coasters (when selecting from a pool of 17 total). The order doesn't matter.

We'll use this result later, so let x = 136.

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

If r = 16, then we follow the same steps as above. You should get 17C16 = 17

There are 17 ways to ride 16 coasters where order doesn't matter. Effectively this is the same as saying "there are 17 ways of picking a coaster that you won't ride"

Let y = 17 so we can use it later

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

Lastly, if r = 17, then nCr = 17C17 = 1 represents one way to ride all 17 coasters where order doesn't matter.

Let z = 1

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

Add up the values of x, y, and z to get the final answer

x+y+z = 136+17+1 = 154

[tex] \frac{14}{35} + \frac{10}{35} - \frac{4}{35} = \frac{4}{7} [/tex]

The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

in a group of 35 children, 10 have blonde hair, 14 have brown eyes, and 4 have both blonde hair and brown eyes.

let, the event be A,

i.e. A = if a child is selected at random, that child has blonde hair or brown eyes.

now, we have,

total no of sample space = 35

probability of blonde hair = 10/ 35

probability of brown eyes = 14/35

probability of both blonde hair and brown eyes = 4/35

so, we get,

probability of  blonde hair or brown eyes = 14/ 35 + 10/ 35 - 4/35

                                                                    = 20 / 35

                                                                    = 4/7

Hence, The solution is, 4/7 is the probability that the child has blonde hair or brown eyes.

To learn more on probability click:

brainly.com/question/11234923

#SPJ2

Answer:

Step-by-step explanation:

It's A and B happy learning

Answer:

0

Step-by-step explanation:

P(starts with M wins presidency) = required outcome / Total possible outcomes

Number of names which starts with M = 1

Total number of names = 5

P(starts with M wins presidency) = 1/ 5

For vice presidency :

Number of names which starts with M = 0

Total number of names = 4

P(starts with M wins vice presidency) = 0/4

P(name which starts with M wins presidency and vice presidency) = 1/5 * 0/4 = 0

y=0

Schools almost out, good luck!!

Answer:

Option 2: -¾

Step-by-step explanation:

First identify 2 points on the line.

(0, 1), (4, -2)

Substitute the coordinates into the gradient formula below:

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Slope of the line

[tex] = \frac{1 - ( - 2)}{0 - 4} [/tex]

[tex] = \frac{1 + 2}{ - 4} [/tex]

[tex] = - \frac{3}{4} [/tex]

☆ Since the line is sloping downwards looking from the left to right, the line must have a negative slope.

Answer:

24 minutes

Step-by-step explanation:

We use 1/a + 1/b = 1/c

where a and b are the individual times and c is the time together

1/40 + 1/60 = 1/c

Multiply each side by 120c

120c( 1/40 + 1/60 = 1/c)

3c + 2c = 120

5c = 120

Divide each side by 5

5c/5 = 120/5

c = 24

Answer: 24 minutes

Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.

Since Elam can wire a light in 40 minutes, we know that in 1 minute,

Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.

Therefore, in t hours, Elam can wire t/40 of the light.

The same applies for Michael, in t hours, he can wire t/60 of the light.

So to solve the problem, we use the following formula:

Part of job done by Elam + part of job done Michael = 1 job done

The part of the job done by Elam is t/40 and t/60 for Michael.

So we have t/40 + t/60 = 1.

Now multiply both sides by 120 to get 3t + 2t = 120

or 5t = 120 so t = 24.

So it takes 24 minutes if they work together.

Answer:

8x+20

36

Step-by-step explanation:

4(2x) + 4(5)

= 8x +20

Hence,

Substituting 2 into 8x+20:

8(2)+20

= 36

Feel free to mark it as brainliest :D

Answer:

yes 8x is a coefficient

Step-by-step explanation:

because I know but if I'm wrong than sry

the answer is the letter A

Answer:

First three terms:

22,24,26

There are 15 terms in the sequence that are 50 or less, yet only 14 if its just less than 50.

Answers:

The first three terms are 21, 24, 29

5 terms of the sequence less than 50.

======================================================

Explanation:

Plug in n = 1 to find that n^2+20 = 1^2+20 = 1+20 = 21. The first term is 21.

Repeat for n = 2 and you should get 2^2+20 = 24 as the second term.

The third term is 29 through similar steps, but this time you use n = 3 of course.

The first three terms are 21, 24, 29

It's effectively the first three perfect squares 1, 4, 9 but we have a tens digit of 2 stuck to the left of each value.

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

We want to find when n^2+20 is less than 50. We could keep plugging values of n into that expression and record if the result is less than 50 or not, then tally those occurrences. You should record 5 such occurrences.

Or we could do a bit of algebra like so

n^2+20 < 50

n^2 < 50-20

n^2 < 30

sqrt(n^2) < sqrt(30)

n < sqrt(30)

On a calculator, sqrt(30) is roughly 5.4772 which means n < 5.4772. If n is a a natural number, then the largest it can get is n = 5 to ensure n^2+20 is less than 50.

We can see that,

This helps show that n = 5 is the largest n to make n^2+20 < 50 a true statement. This means that there are 5 terms of the sequence less than 50.

Answer:

yes

Step-by-step explanation:

3.24538 is rational

Answer:

UwU

Step-by-step explanation:

Hoped I helped

Answer:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:

61 /  10

Decimal Form:

6.1  

Mixed Number Form:

6 1/10  

Answer: 8x -3x = 16+4

Step-by-step explanation:

Answer:

the correct answer is A. Rhombus

The answer is D (Square)

Because the sides of a square are equal.

9514 1404 393

Answer:

  (-5, -4)

Step-by-step explanation:

Compare the given equation to vertex form:

  y = a(x -h)² +k

You see that a=2, h=-5, k=-4.

The vertex is (h, k) = (-5, -4).

Answer:

Step-by-step explanation:

From the given information:

Null and alternative hypothesis is:

[tex]\mathbf{H_o: \text{The die is not loaded i.e. six numbbers are equally alike}}[/tex]

[tex]\mathbf{H_a: \text{The die is loaded i.e. six numbbers are not equally alike}}[/tex]

Numbers   Observed         Expected            (O - E)    (O-E)^2     (O-E)^2/E

                 Frequency (O)   Frequency (E)  

1                  31                             30                   1             1               0.03

2                 34                            30                   4             16            0.53

3                 26                            30                  -4            16             0.53

4                 16                             30                  -14           196           6.53

5                 32                            30                    2            4               0.13

6                 41                             30                    11            121            4.03

Total          180                                                 [tex]X^2= \sum (\dfrac{O-E}{E})^2=11.78[/tex]

degree of freedom = n - 1

= 6 - 1

= 5

Critical value at [tex]X^2_{0.05/2,5} =11.07[/tex]

Since the calculated [tex]X^2 \ is \ > X^2_{0.025/5}[/tex] , then we reject [tex]H_o[/tex]

Conclusion: Accept the alternative hypothesis.

The information provided gives sufficient evidence for us to conclude that the given die is loaded.

Answer:

The answer is D

Hope this helps!

Brainliest??

Answer:

D

Step-by-step explanation:

the answer is D because if she already made 7 she need to add n to 7 to get 40 or greater

Answer:

Mr. peter puts 24 students into groups of 8. How many groups are there?

Step-by-step explanation:

Whenever the word "groups" is used, it typically means to divide. Because we see the word "groups", it would be reasonable to assume that you will be dividing something.

Answer:

the answer is

Answer:

126

Step-by-step explanation:

1200 x .021=25.20 interest per year

25.20x5=126

assumes no compounding

Answer:

answer a

a.

x = -11 or x = -1