Solve x2 + 8x − 3 = 0 using the completing-the-square method.

x = four plus or minus the square root of three
x = negative four plus or minus the square root of three
x = four plus or minus the square root of nineteen
x = negative four plus or minus the square root of nineteen

Answers

Answer 1

Answer:

Step-by-step explanation:

x^2+8x-3=0 (move constant to other side by adding 3 to each side)

x^2+8x=3 (halve thr linear coefficient, square it and add to each side, (8/2)^2=16)

x^2+8x+16=3+16 (now the left side is a perfect square)

(x+4)^2=19 (now take the square root of each side)

x+4=+-(19^(1/2)) (finally subtract the constant to isolate x by itself)

x= -4+-(19^(1/2))

x=negative four plus or minus the square root of nineteen

Answer 2

Answer:

D) x = negative four plus or minus the square root of nineteen

Step-by-step explanation:

I took the exam


Related Questions

In ΔIJK, k = 7.6 cm, j = 7.5 cm and ∠J=116°. Find all possible values of ∠K, to the nearest 10th of a degree.

Answers

Answer:

No Possible Triangles

Step-by-step explanation:

Deltamath

During the fall you charge $10 to go to a house and rake the leaves and an additional eight dollars for every hour that you rake the yard if you earned $42 how many hours did you spend raking the leaves

Answers

Answer:

4

Step-by-step explanation:

set up an equation:

let h be the number of hours you spent raking.

then, the cost would be 10 + 8 times the number of hours.

In equation form:

[tex]10 + 8h = 42[/tex]

solve:

[tex]10 + 8h = 42\\8h = 32\\h = 4[/tex]

So you worked for 4 hours

Which inequality represents all possible solutions of 16>x-4

Answers

Answer:

x<20

Step-by-step explanation:

add 4 to the other side to isolate x by adding 4 to 20 to be left with x<20

Find the measure of each angle indicated

Answers

Answer:

45°

Step-by-step explanation:

here's your solution

=> we know that sum of both angle is equal

180°

=> because both angle are co-interior angle

=> let the unknown angle be x

=> so, X + 135° = 180°

=> x= 180 - 135

=> 45°

hope it helps

What's up!

I am here with a handful of geometry questions today. Please answer the question based off the image(s) below.

If you are not sure of the answer please leave a comment, DO NOT ANSWER THE QUESTION UNLESS YOU KNOW THE ANSWER. Please don't take me points! Thanks for understanding.

Anyways, please show all of your work and explain your thinking! Thanks!

Answers

Answer:

Triangular prism with base being an equilateral triangle with side of 9.

Area of equilateral triangle with side a:

b = (√3/4)a²

Volume:

V = bh = (√3/4)a²h = (√3/4)9²*14 = 491.0 cm³

Surface area:

A = 3ah + √3/2*a² = 3*9*14 + √3/2*9² = 448.1 cm²

To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)To use unit analysis to convert 7 feet to yards you could use: (DO NOT CONVERT!)



Group of answer choices

7ft1⋅3yd1ft

(7 ft/ 1 ) multiplied by (3 yd/ 1ft)


7ft1⋅12in1ft

(7 ft/1) multiplied by (12 inches/1 ft)


7yd1⋅3ft1yd

None of these

7ft1⋅1yd3ft

Answers

Answer:

7ft/1yd ⋅1yd/3ft

Step-by-step explanation:

To use unit analysis to convert 7 feet to yards

Using unit analysis

1 yard = 3 feet

Hence

3 feet = 1 yard

7 feet = x yard

Cross Multiply

3 feet × x yard = 7 feet × 1 yard

We can represent this as

7 feet/1 yard × 1 yard/3 feet

The correct Option is :

7ft/1yd ⋅1yd/3ft

Can anyone help me? This is confusing me a lot.​

Answers

Answer:

80m2 wtfffffffffffffffffffff

Will give BRAINLIEST if gives correct answer
Find the diameter

Answers

Answer:

The list already says the diameter. Here's the answers for the other stuff though:

A≈201.06

A≈4417.86

The data in the line plot show the scores on a recent quiz in Mrs. Riley's class. Which is the best measure of central tendency?
A. range
B. mean
C. median
D. mode

Answers

Answer:

mode

Step-by-step explanation:

Pleaseeeee helppppppp

Answers

Answer:

TIK TOK

Step-by-step explanation:

ON THE CLOCK  

the answer should be 12,
the area of a triangle is 1/2bh
so (1/2)(3)(8)=12

The daily revenue at a university snack bar has been recorded for the past five years. Records indicate that the mean daily revenue is $1200 and the standard deviation is $400. The distribution is skewed to the right due to several high volume days (football game days). Suppose that 100 days are randomly selected and the average daily revenue computed. Which of the following describes the sampling distribution of the sample mean?
a. skewed to the right with a mean of $1200 and a standard deviation of $400.
b. normally distributed with a mean of $1200 and a standard deviation of $40.
c. normally distributed with a mean of $1200 and a standard deviation of $400.
d. normally distributed with a mean of $120 and a standard deviation of $40.

Answers

Answer:

b. normally distributed with a mean of $1200 and a standard deviation of $40.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

Skewed to the right, mean 1200, standard deviation [tex]\sigma = 400[/tex]

Sample of 100 days:

By the Central Limit Theorem:

Approximately normal

Mean 1200

Standard deviation [tex]s = \frac{400}{\sqrt{100}} = 40[/tex]

The correct answer is given by option b.


In ΔABC, the measure of ∠C=90°, the measure of ∠B=64°, and BC= 6.6 Find the length of CA the nearest tenth of a foot

Answers

Answer:

CA = 13.5

Step-by-step explanation:

tan 64 = CA/6.6

2.05 = CA/6.6

CA = 13.5

encouraging quote by me: dont say we need more people like (PERSON) strive to be like them dont wait for the change be the change

Answers

Answer:

very nice

Step-by-step explanation:

5.) Mother went to the supermarket. She bought 1.8 kg of chicken at Php120.50 a kilo
Find the cost of the chicken.​

Answers

Answer:

1.8×120.50, and u shd get the ans

Two claimants place calls simultaneously to an insurer's claims call center. The times X and Y, in minutes, that elapse before the respective claimants get to speak with call center representatives are independently and identically distributed. The moment generating function of each random variable is

M(t)= (1/11.5t)^2 , t < 2/3

Required:
Calculate the standard deviation of X + Y.

Answers

The moment generating function of each random variable is;

M(t) = (1/(1 - 1.5t))^(2), t < 2/3

Answer:

SD[X + Y] = 3

Step-by-step explanation:

For ease of differentiation, let's rewrite the M(t) function as;

M(t) = (1 - (3/2)t)^(-2)

Let's find the first derivative of the function;

M'(t) = 3(1 - (3/2)t)^(-3)

To get E[X], we will put 0 for t to get;

E[X] = 3(1 - (3/2)0)^(-3)

E[X] = 3

Now,let's find the second derivative of M(t)

M"(t) = (27/2)(1 - (3/2)t)^(-4)

At,t = 0, we will get E[X²]

Thus;

E[X²] = 27/2

Now, Var[X] = E[X²] - (E[X])²

Var[X] = (27/2) - 3²

Var[X] = 9/2

We are told that the times X and Y are independently and identically distributed. Thus, the sum of their variances is equal to the variance of their sum. This is expressed as;

Var[X + Y] = 9/2 + 9/2

Var[X + Y] = 9

Now,we know that square root of variance is standard deviation. Thus;

SD[X + Y] = √9

SD[X + Y] = 3

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

53 and 17

Step-by-step explanation:

If you add 53 and 17, you get 70.

If you subtract 17 from 53, you get 36. Hope this helps!

han want to buy a $30 ticket to a game, but the pre-oder tickets are sold out, he knowns there will be more tickets sold the day of the game, with a markup of 200% . how much should han expect to pay for the tickets if he buys it the dat of the game?

Answers

Answer: [tex]\$90[/tex]

Step-by-step explanation:

Given

The price of the ticket prior to match day is [tex]\$30[/tex]

It is stated that there is [tex]200\%[/tex] the markup on match day i.e.

The selling price of the ticket is

[tex]\Rightarrow S.P.=30+30\times 200\%\\\Rightarrow S.P.=30+30\times 2=30+60\\\Rightarrow S.P.=\$90[/tex]

So, han must expect to pay [tex]\$90[/tex]  on that day

Which expression is equal to x+5x+3⋅(x+3)(x−5)x2+3 ?

Answers

Answer:

Step-by-step explanation:

what is the volume of this figure in cubic inches?
a. 32
b. 256
c. 416
d. 7.680

Answers

Answer:

I think its b

do you have to times it?

Find the distance between the points (–7,–6) and (3,–6).

Answers

Answer:

(3+7)2+(-6+6)2

100+0

100

10

In the diagram, if WA = 6, AX = 5, and YA = 10, then the length of Y Z is

Answers

Answer:

YZ = 13 units

Step-by-step explanation:

By intersecting chords theorem in a circle,

YA × AZ = WA × AX

By substituting the values of each segment in the formula,

10 × AZ = 6 × 5

AZ = [tex]\frac{30}{10}[/tex]

AZ = 3 units

Therefore, YZ = AZ + AY

YZ = 3 + 10

YZ = 13 units

Use the ray tool to graph f(x)=−|x+2|

First plot the endpoint of the ray, then plot any point on the ray.

Answers

Answer: Graphed points I used, (-2,0), (0,-2), and (-3,-1)

Step-by-step explanation:

The graph of given function is attached below.

Absolute value function:

The given function is,

                          [tex]f(x)=-|x+2|[/tex]

We have to draw the graph of above function.

When [tex]x=-2[/tex] ,  [tex]f(-2)=0[/tex]

When [tex]x=-4[/tex] , [tex]f(-4)=-|-4+2|=-2[/tex]

When [tex]x=0[/tex], [tex]f(0)=-2[/tex]

Thus, We have points [tex](-2,0),(-4,-2)[/tex] and [tex](0,-2)[/tex]

The graph of function attached below.

Learn more about the graph of function here:

https://brainly.com/question/24335034

16
Part A
(a)
Martin noticed that he had spent $100 on a new bike and deposited $100 that he had earned from selling books to a
used bookstore. Which integer represents the change in Martin's savings?
A 100
BO
C-100
D-200
SHOW HINT

Answers

B .................0

*NEED HELP QUICKLY*

my son is doing a math assignment and he needs this done within the hour. i tried to help with it but math isn’t my strong suit.

Answers

Answer: undefined

Step-by-step explanation:

I think im not sure tho

Write an equation in slope-intercept form of the line that passes through the points (7, – 4) and (3, -1).
y= blank x+ blank

Answers

Answer:

Step-by-step explanation:

y2-y1/x2-x1

-1-(-4)/3-7

3/-4

y=mx+b

For the y coordinate it can be either -4,or -1

-4=3/-4x+b

b=13/4

choose the correct simplification of the expression b^5 · b^4​

Answers

Answer:

b⁹

Step-by-step explanation:

When multiplying terms with exponents, you simply add the exponents.

5 + 4 = 9

PLEASE HELP!!!
d/dx(e^2x)=d/dx(e^x*e^x)=?

Answers

Answer:

[tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Calculus

Derivatives

Derivative Notation

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

eˣ Derivative: [tex]\displaystyle \frac{d}{dx} [e^u]=e^u \cdot u'[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{d}{dx}[e^{2x}][/tex]

Step 2: Differentiate

[Derivative] eˣ Derivative [Chain Rule]:                                                       [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2x^{1 - 1} \cdot e^{2x}[/tex][Derivative] Simplify:                                                                                     [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2x^{0} \cdot e^{2x}[/tex][Derivative] Simplify:                                                                                     [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2(1) \cdot e^{2x}[/tex][Derivative] Multiply:                                                                                     [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2 \cdot e^{2x}[/tex][Derivative] Multiply:                                                                                     [tex]\displaystyle \frac{d}{dx}[e^{2x}] = 2e^{2x}[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Televisions are measured diagonally to determine their listed size. Roxanne bought a 40-inch television that measures 24 inches in height. How many inches wide is the television?

Answers

Answer:

The width is 32 inches

Step-by-step explanation:

C(x)=4x; R(x) = 6X-.001x²
Marginal cost?

Answers

Answer:

the answer is to commit uninstall

Step-by-step explanation:

gg wp

Find the volume of the cylinder. Round your answer to the nearest tenth
3 m
5 m

Answers

Answer:141.4

Step-by-step explanation:

Other Questions
Inez has $72 to buy video games each game costs $9 how many video games can Inez buy Find the missing sides of the triangle. Leave your answers in simplest radical form. Suppose you have a bag with 20 letter tiles in it and 9 of the tiles are the letter V. If you pick a letter tile at random from the bag, the probability that it is the letter V is 9/20. Suppose another bag has 500 letter tiles in it and 210 of the tiles are the letter V. Write the probability of picking a tile that is the letter V as a fraction and as a percent. From which bag are you more likely to pick a tile that is the letter V? will mark the best awnser :) 24=3(n-5) what does n equal i need help due asap Japan consists of four major islands, and four-fifths of its land area is covered by mountains. How did these facts influence Japans political development? Be sure to provide examples and details in your answer. Whats the answer to this math problem? Last question for today..... AP human geography!Which of the following explains the spatial pattern of economic development for most countries in Southeast Asia, including Indonesia, Malaysia, Thailand, and Vietnam?A). Most Southeast Asian countries are considered to be part of the semi periphery because of the extensive growth of the secondary economic sector.B). Most Southeast Asian countries are considered to be part of the semi periphery because of the dominance of the primary economic sector.C). Most Southeast Asian countries are considered to be part of the periphery because of the dominance of the tertiary economic sector.D). Most Southeast Asian countries are considered to be part of the periphery because of the dominance of the secondary economic sector.E). Most Southeast Asian countries are considered to be part of the core because of the dominance of the tertiary economic sector. How did New Deal legislation affect the relationship between federal and stategovernments? The volume of the rectangular pyramid is ___ cubic units. In the excerpt from Astro-Dad how does the narrator's point of view help toreveal his characterization? dont answer if you dont know Did men oppose women's suffrage movement? A person drops a pebble of mass m1 from a height h, and it hits the floor with kinetic energy KE. The person drops another pebble of mass m2 from a height of 4h, and it hits the floor with the same kinetic energy KE. How do the masses of the pebbles compare What is the purpose of Refrigeration? of Kayla has a bowl of beads that contalns 42 yellow beads, 28 green beads, 12 white beads, and 18 red beads. She randomly draws a bead fromthe bowl.The probability of Kayla not drawing yellow or a green bead is%. The probability of Kayla drawing red or a green bead is%. HELP PLEASE!!!!!!!!!!Volunteers at Sam's school use same of the student council's savings for a special project. They buy 3 backpacks for $6 each and fill each backpack with paper and pens that cost $6. By how much did the students council's savings change because of this project? Why does King repeat the phrase "I believe" in this passage?O A. To provide facts and evidenceB. To establish his credibilityC. To ask a rhetorical questionD. To engage the audience's feelings Lincoln invested $2,800 in an account paying an interest rate of 5\tfrac{3}{8}5 83 % compounded continuously. Lily invested $2,800 in an account paying an interest rate of 5\tfrac{7}{8}5 87 % compounded quarterly. After 15 years, how much more money would Lily have in her account than Lincoln, to the nearest dollar?