Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.

Answers

Answer 1

Answer:  k = {8, -8}

Step-by-step explanation:

In order for a quadratic equation to have exactly one solution, the discriminant must equal zero.       →        b² - 4ac = 0

  4x² + kx + 4 = 0

  ↓       ↓      ↓

a=4    b=k    c=4

b² - 4ac = 0

k² - 4(4)(4) = 0

k²             = 64

           k = √64

           k = ± 8


Related Questions

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different​ prizes: an automobile valued at ​$​, a ​$ gas​ card, or a ​$ shopping card. To claim his or her​ prize, a prospective customer needed to present the flier at the​ dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of ​, the chance of winning the gas card was 1 out of and the chance of winning the shopping card was out of 31,866​, the chance of winning the gas card was 1 out of 31,866, and the chance of winning the shopping card was 31,864 out of 31,866.

Required:
a. How many fliers do you think the automobile dealership sent​ out?
b. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the expected value of the prize won by a prospective customer receiving a​ flier?
c. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a​ flier?

Answers

Answer:

(a) 31101

(b) $5.65

(c) $113.38

Step-by-step explanation:

The complete question is:

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.

Solution:

The information provided is as follows:

[tex]P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}[/tex]

(a)

The number of fliers the automobile dealership sent​ out is, n = 31,101.

This is because the probability of winning any of the three prize is out of 31,101.

(b)

Compute the expected value of the prize won by a prospective customer receiving a​ flier as follows:

[tex]E(X)=\sum x\times P(X=x)[/tex]

         [tex]=[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65[/tex]

Thus, the expected value of the prize won by a prospective customer receiving a​ flier is $5.65.

(c)

Compute the standard deviation of the prize won by a prospective customer receiving a​ flier as follows:

[tex]SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}[/tex]

           [tex]=\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38[/tex]

Thus, the standard deviation of the prize won by a prospective customer receiving a​ flier is $113.38.

Find two consecutive even integers
such that twice the larger is 14 less
than 5 times the smaller.





help me

Answers

You can set up a system of equations with x being the smaller number and y being the larger number. So the first equation would be 2y=5x-14 and the second equation would be x=y-2. You can solve by substitution and substitute y-2 into the x in the first equation to get 2y=5(y-2)-14. You can solve this out and it ends up simplifying to y=8. So you know the larger number is 8. So since the larger number is 8 and they are consecutive even integers, the smaller number must be 6. So the two numbers would be 6 and 8.

What is the phenomenon that many types of data analysis become significantly harder as the dimensionality of the data increases? a. The Curse of Dimensionality b. The Phenomenon of Reduction c. The Curse of Reduction d. The Phenomenon of Dimensionality

Answers

Answer:

a. The Curse of Dimensionality

Step-by-step explanation:

The phenomenon that refers to this is known as the Curse of Dimensionality. This phenomenon is basically the specific complications that only occur when dealing with far larger data sets that contain various dimensions, while these complications do not exist in smaller and less complex data sets. The larger the data set tends to get, the more complications arise. This is usually solved with Dimensionality reduction which shrinks the data sets by targeting specifics of the data and separating it.

Express 14 inches: 3 feet in fraction form

Answers

Answer: 4 [tex]\frac{2}{12}[/tex]

Step 1: Convert 14 inches to feet and inches.

14 inches = 1 foot, 2 inches.

Step 2: Find the total.

4 feet, 2 inches.

Step 3: Write two of twelve inches as a fraction.

Answer = [tex]\frac{2}{12\\}[/tex]

Step 4: Write final answer down correct.

4 [tex]\frac{2}{12}[/tex]

Hope this helps you!

Which equation has the correct sign on the product?
O A. (-11)9 = 99
B. (-12)(-12) = 144
C. 25(-5) = 125
D. 17.3 = -51

Answers

C. 25(-5) = 125 this is the answer

Answer:

B. (-12)(-12)=144 Hope that helps

Step-by-step explanation:

The figures below are scaled copies. Identify the corresponding parts.

Answers

Answer:

a. ∠U

b. ∠D

c. WX

d. ST

Step-by-step explanation:

A group of friends spent 52.50$ on 6 movie tickets. Write an equation to represent the cost, c, per movie ticket, t.

Answers

Answer: 8.75t = c

Step-by-step explanation: 52.5/6 = 8.75 so 8.75$ per ticket.

The T.V.'s original price was $420. It was on sale for 40% off. What is the sale price?

Answers

Answer:

252.00

Step-by-step explanation:

Answer

For a discount of 40% The T.V. would be selling for $252

Step-by-step explanation:

40% Of $420 is $168, $420 - $168 is $252.

7 1/5 - 6 2/5 = ?
A. 1 4/5
B. 4/5
C. 13 3/5
D. 1 1/5

Answers

it should be 4/5 probably

Which is the last operation when evaluating (8-2x)2+4 for x=3?

Answers

Answer:

addition.

Step-by-step explanation:

(8-2x)2+4

(8-2(3))2+4

(8-6)2+4

(2)2+4

4+4 (last operation)

8

which is a linear function​

Answers

Answer:

B

Step-by-step explanation:

a linear function will always have a constant rate of change.

It’s a constant rate but it changes

3 square feet divided by 1/7 ft

Answers

Answer: 6.4008

Step-by-step explanation:You can use the Calculator EX clap.

Bruce walks 2/3mile in 1 .4hour. What is his speed in miles per hour? Show your work.

Answers

Answer:

10/21 or 0.476 miles per hour

Step-by-step explanation:

If you divide 2/3 by 1.4 (or 14/10), you will get miles per hour.  

2/3 ÷ 14/10 = 2/3 x 10/14 = 20/42 = 10/21 = 0.476

Two cars are traveling in the same direction. The first car is going 40mph, and the second car is going 55 mph. The first car left 3 hours before the second car. Which equation could you use to find how many hours it will take for the second car to catch up to the first car? hint: how many miles has the first car gone in those 3 hours?

Answers

Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of

(40 mi/h) (3 h) = 120 mi

Take the 3 hour mark to be the origin, so that the first car's position after t hours is

120 mi + (40 mi/h) t

while the second car's position is

(55 mi/h) t

The second car catches up to the first when their positions are equal:

120 mi + (40 mi/h) t = (55 mi/h) t

120 mi = (15 mi/h) t

t = (120 mi) / (15 mi/h)

t = 8 h

Mary is the manager of a new clothing shop. The shop located in a new shopping mall and Mary wants to estimate the average daily demand for her clothes. From her own experience, she believes that the mean daily demand of her clothes in this region should be greater than or equal to 100. She is going to perform a survey to test this claim and the result will be used to decide how many clothes should be maintained every morning in order to satisfy the customers' needs. (a) What is the implication of Type I error in this case? (b) What is the implication of Type II error in this case? (c) Which type of error is more significant (important), for Mary, in this case?

Answers

Explanation:

a) First, note that the Type I error refers to a situation where the null hypothesis is rejected when it is actually true. Hence, her null hypothesis would be H0: mean daily demand of her clothes in this region should be greater than or equal to 100.

The implication of Type I error in this case is that Mary rejects that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually true.

b) While, the Type II error, in this case, is a situation where Mary accepts the null hypothesis when it is actually false. That is, Mary accepts that the mean daily demand of her clothes in this region is greater than or equal to 100 when it is actually false.

c) The Type I error would be important to Mary because it shows that she'll be having a greater demand (which = more sales) for her products despite erroneously thinking otherwise.

A car gets 27 mile per gallon of gas. How far will it go on 12 gallons?​

Answers

Answer:

324

Step-by-step explanation:

Solve
8(12 - k) = 3(k + 21)
Please help! I am confused with some signs.​

Answers

Answer: k = 3

Step-by-step explanation:

U first expand

96 - 8k = 3k + 63

Then u add 8k from both sides

96 = 3k + 63 + 8k

then u simplify

3k + 63 + 8k to 11k + 63

then u subtract 63 from both sides

96 = 11k + 63

Then u simplify 96 - 63 to 33

33 = 11k

Then u divide both sides by 11

33/11 = k

then u simplify 33/11 to 3

3 = k

and last u switch the sides

k = 3

4) Cindy works part-time and earns $5.75 an hour. One week she worked
38 hours, How much money did she earn in that one week

Answers

Answer:

$218.50

Step-by-step explanation:

5.75×38=218.5

turn into dollars $218.50

If you multiply 5.75 by 38 hours it’ll give you 218.5 so Cindy earned $218.5

4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, l leave a remainder of 4. Who am I?

Answers

Answer:

60

Step-by-step explanation:

Taking the LCM of 3, 4, 5 and 6 leaves us with;

LCM = 1 * 2 * 3 * 2 * 5

       = 60

Since Dividing 60 by 7 leaves quotient 8 and remainder 4,

We know that we've found the number we're looking for.

how many different choices of car does a person have if a particular model comes in 11 colors and 4 styles

Answers

Answer:

44 options

Step-by-step explanation:

In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from,  meaning that all 4 styles also have 11 colors to choose from and vice versa.

11 * 4 = 44

Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.

5X+17=7 PLEASE HELP FAST

Answers

Answer:

x = -2

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

5x/5 = -10/5

x = -2

The solution of expression is,

⇒ x = - 2

We have to given that;

The expression is,

⇒ 5x + 17 = 7

Now, We can simplify as;

⇒ 5x + 17 = 7

Subtract 17 both side,

⇒ 5x = 7 - 17

⇒ 5x =- 10

Divide by 5;

⇒ x  = - 10/5

⇒ x = - 2

Thus, The solution of expression is,

⇒ x = - 2

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

what is 917 divided by 63

Answers

Answer:

14.55

Step-by-step explanation:

Which is not a classification for AFGH?
A acute
C isosceles
B scalene D equiangular
/60
H

Answers

Answer:

A

Step-by-step explanation:

washewepshepshepshepshep

Answer: Yup A.........

Answer please I’ll give you branliest

Answers

Trueeeeeeeeeeeeeeeeeeeeeeeeeeereeeeeeeeeeee

What is the solution for this inequality?
8x<-32

Answers

Answer:

8x<-32

x<4

Step-by-step explanation:

divide both of these numbers by 8

Step-by-step explanation:

rhrufh38299917489xjqgs8cjrnjci

I wanna make one lucky winner happy ill give points, brainly, thanks to all your answers, and 5 stars.

Answers

Answer:

thank you

Step-by-step explanation:

Carly spends $5 for n notebooks. Write an algebraic expression to represent the cost of one notebook.

Answers

Answer:

vfgvygfvygybgybgybgybvgybgyvbg

Step-by-step explanation:

cvbnhbvcxzcdfvgbhjkhnfgvcdxsdfggvbgfvygf

Answer:

5÷n

Step-by-step explanation:

5÷n will tell you how much it is for each notebook

Find the midpoint of the segment with the following endpoints. (5,4) and (1,7)​

Answers

Answer: wait one sec

Step-by-step explanation:

Answer:

(3,5.5)

Step-by-step explanation:

(x₁+x₂)   (y₁+y₂)

--------    --------

   2           2

5+1         7+4

  6           11

------        ------

 2             2

   (3, 5.5)

Jane bought 12 identical beanie babies for her sister’s birthday goody bags. Is it possible that without tax her purchase was: $16.20, $18.32, $18.42

Answers

Answer:

$18.32

Step-by-step explanation:

First one is not possible. Same for 18.42

Which pair of numbers has the greatest common factor of 3?

3 and 12
3 and 33
4 and 9
9 and 12

Answers

Answer: 9 and 12

Step-by-step explanation:

Answer:

9 and 12

I HOPE IT WILL HELP YOU?:-)

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