Which three steps are correct when solving this quadratic equation by completing the square?
x2 + 8x + 15 = 0
A)
x4 + 8x = -15
B)
x2 + 8x + 16 - 1
(x + 4)2 = 16
D)
(x + 4)2 = 1
E
x = -3 or x = 5

Answers

Answer 1

Answer:

E

Step-by-step explanation:

transferring the constant

making the coefficient of x^2 to be 1

then add the square of half the coefficient of x

take the square root of both sides


Related Questions

You come across a box of perfume what should you do Amazon

Answers

take it back to the original owner

What is the value of the expression 1/7 divided by 5 ?

Answers

Answer:

It would be 1/35.

Step-by-step explanation:

You turn 5 into 1/5 and then multiply 1/7 with 1/5, which is 1/35.

The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

The expression is,

⇒ 1/7 divided by 5

Now, We can simplify as;

⇒ 1/7 divided by 5

⇒ 1 / 7 ÷ 5

⇒ 1 / 7×5

⇒ 1 / 35

Thus, The value of the expression 1/7 divided by 5 is,

⇒ 1 / 35

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ3

To compute the necessary sample size for an interval estimate of a population proportion, all of the following procedures are recommended when p is unknown except :____________

a. use the sample proportion from a previous study.
b. use the sample proportion from a preliminary sample.
c. use 1.0 as an estimate.
d. use judgment or a best guess.

Answers

I think the answer is A

Answer:

c- use 1.0 as an estimate

Step-by-step explanation:

Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32

12 and 18

32 and 64

40 and 60

14 and 41

Answers

Answer:

i think the answer is 12 and 18

PLEASE HELP I WILL GIVE BRAINLIEST!!!

Answers

wooooooooooooooooooooooooooooooo :>

1.
A diagram of Ryan's yard is shown.
-12 ft
10 ft
14 ft
5 ft
Which expression can Ryan use to find the total
area of his yard?
A. (10+4)(12+5)
B
(10 + 4) X (12 - 5)
C. (12 x 10) - (5 x 4)
D. (12 x 10) + (5 x 4)

Answers

Answer:

D. (12 x 10) + (5 x 4)

Step-by-step explanation:

If you draw a line separating the big square from the little square,  you have a 12 x 10 large square, and a 5 x 4 smaller square. We know the second dimension of the small square because the large square takes 10ft off of the total length of 4ft.

Calculate both areas separately, then add them together.

The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?

a bar graph
a circle graph
a histogram
a line graph

Answers

Answer:

Question?

Step-by-step explanation:

?

Bar Graph

Since the values belong to different divisions, it’s best to use the bar graph because you can compare them side by side.

What is the volume of the cylinder below?

Use 3.14 for pi.

Answers

Answer:

using 3.14 for pi the volume is 502.4

Step-by-step explanation:

Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?

Answers

9514 1404 393

Answer:

  (3, 2)

Step-by-step explanation:

Reflection across y=x swaps the coordinates:

  (x, y) ⇒ (y, x)

Dilation by a factor of 1/2 multiplies each coordinate by 1/2.

  (x, y) ⇒ (x/2, y/2)

The combination of these transformations gives you ...

  (x, y) ⇒ (y/2, x/2)

  (4, 6) ⇒ (3, 2)

8x + 7 = 6x + 15
what is x

Answers

Answer:

x = 4

Step-by-step explanation:

i am smart

Answer:

X=4

Step-by-step explanation:

Simplifying

8x + 7 = 6x + 15

Reorder the terms:

7 + 8x = 6x + 15

Reorder the terms:

7 + 8x = 15 + 6x

Solving

7 + 8x = 15 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

7 + 8x + -6x = 15 + 6x + -6x

Combine like terms: 8x + -6x = 2x

7 + 2x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0

7 + 2x = 15 + 0

7 + 2x = 15

Add '-7' to each side of the equation.

7 + -7 + 2x = 15 + -7

Combine like terms: 7 + -7 = 0

0 + 2x = 15 + -7

2x = 15 + -7

Combine like terms: 15 + -7 = 8

2x = 8

Divide each side by '2'.

x = 4

Simplifying.                Hope this helps :D

x = 4.                              Plz brainly and like

the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude as function m

Answers

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

Which graphed function has the same amplitude as m(x)?

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

If you want to learn more about cosine functions, you can read:

https://brainly.com/question/7872492

Using property simplify 472x96+472x4

Answers

Answer:

183136 is the correct answer

What is the measure of angle AXG

Answers

Answer:

180°

Step-by-step explanation:

it's half of a circle

The angle AXG is a straight line. The measure of a straight line would be 180

The measure is 180

In triangle ABC, angle A and angle B are remote interior angles to an exterior angle that measures 60 degrees. If measure of angle A = 30, what is the measure of angle B?

30

60

90

45

Answers

Answer:

30 Step-by-step explanation:

Answer:

Its 60

Step-by-step explanation:

I took the test

The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?

Answers

Answer:

28

[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]

[tex]2 * x = 8\\x = 4[/tex]

[tex]7 * 4 = x\\x = 28[/tex]

PLZZ GIVE BRAINLIEST

Probability distribution

Answers

Answer:

a) The value of q is 0.2.

b) E(X) = 1.85.

Step-by-step explanation:

Question a:

The sum of all the probabilities must be 1. So

[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]

[tex]x + 0.8 = 1[/tex]

[tex]x = 0.2[/tex]

The value of q is 0.2.

Question b:

Multiplication of each value of x by its probability. So

[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]

So the answer is E(X) = 1.85.

Given that f(x)=x^3, which equation describes the graph of function g?

a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3​

Answers

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

can someone help me pls

Answers

Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

(Algebra 2) help me please:( no links I will report please help me out )!!!

Answers

Answer:

The answer should be $57000(1.025)²⁰ = $93,401

Step-by-step explanation:

A graphic designer creates a logo in the shape of an ellipse. The equation x^2/64 + y^2/14.44 = 1, with units in centimeters,
represents the outer edge of the logo. How tall is the logo?
a. 3.8 cm
b. 7.6 cm
c. 8 cm
d. 16 cm

Answers

Using the equation of ellipse, the height of the logo is 7.6cm

What is equation for ellipse?

The equation of ellipse having a center (h, k) is given as;

[tex]\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1[/tex]

where a is the semi-major axis and b is the semi-minor axis. The major axis is the longer of the two axes, and the minor axis is the shorter of the two axes. The center of the ellipse is the point (h, k).

The graph of an ellipse is a closed curve that is similar to a circle, but it is not a circle. The ellipse is wider than it is tall if a > b, and it is taller than it is wide if a < b.

In the given problem;

The equation for an ellipse is

[tex]\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1,[/tex] where a is the semi-major axis and b is the semi-minor axis. In this case, a = √64 = 8 and b = √14.44 = 3.8

Since b = 3.8, the height of the logo = 2b = 2 * 3.8 = 7.6cm

Learn more on equation of ellipse here;

https://brainly.com/question/30995389

#SPJ1

Please help I would be really happy:)

Answers

I think that it is two bins

Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.

Answers

Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

Easton is deciding between two landscaping companies for his place of business.
Company A charges $25 per hour and a $150 equipment fee. Com piny B charges $35
per hour and a $100 equipment fee. Let A represent the amount Company A would
charge for t hours of landscaping, and let B represent the amount Company B would
charge fort hours of landscaping. Write an equation for each situation, in terms oft,
and determine the number hours, t, that would make the cost of each company the
same.

Answers

Answer:

i. A = $25 t + $150

ii. B = $35 t + $100

iii. Number of hours = 5

Step-by-step explanation:

For company A:

A = $25 t + $150

where A is the amount charged and t is the number of hours of landscaping.

For company B:

B = $35 t + $100

where B is the amount charged and t is the number of hours of landscaping.

When the time  is 5 hours, then:

i. A = $25 t + $150

     = $25 (5) + $150

     = $125 + $150

A = $275

ii. B = $35 t + $100

      = $35(5) + $100

      = $175 + $100

B = $275

Therefore, the number of hours that would make the cost of each company to be the same is 5 hours.

MATH MATH MATH MATHHHHHHHHHHHHHH

Answers

Answer:

1. Obtuse angle

2. 5

3. 117

Step-by-step explanation:

1. Any angle that is wider than 90 degrees is obtuse.

2. 180 = straight angle so, 180-140=40 8x5=40 so x=5

3. Supplementary angles are one angle that is 180 so, 180-63= 117

The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.


What is the standard deviation of the distribution?


A) 1.16

B) 1.08

C) 1.41

D) 2.98

Answers

The answer is B I know this

The standard deviation of the distribution is 1.08.

Option B is the correct answer.

What is a standard deviation?

The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.

We have,

To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.

The expected value of X is:

E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)

= 1.6 + 0.96 + 0.34 + 0.08 + 0

= 2.98

Next, we need to calculate the variance of X:

Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)

+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)

= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)

= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212

= 1.082

The standard deviation of X is the square root of the variance:

So,

SD(X) = √(Var(X))

= √(1.082)

= 1.04 (approximately)

Thus,

The standard deviation of the distribution is 1.08.

Learn more about standard deviation here:

brainly.com/question/23907081

#SPJ7

sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers​

Answers

Answer:

Suppose the one number be x

And the other number be 6x

The sum of two numbers is 5

x+6x=5

7x=5

X=5/7

Therefore

One number be 5/7

And other number be 6 * 5/7=30/7

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU...............

i will give Brainiest if you are right

Answers

Answer:

G

Step-by-step explanation:

G. Plug in x=5 to    x-2<7

which becomes

5-2<7

3<7

which is correct.

Hope This Helps!

G if you plug in 5 as x it is the only one that is correct

The manufacturer of running shoes conducted a study on its newly developed jogging shoe. Listed are the type and frequency of the nonconformities and failures found. A Pareto chart to show the major problem areas is given below. (Round your answers to 1 decimal place.) Type of Nonconformity Frequency Type of Nonconformity Frequency Sole separation 36 Lace breakage 13 Heel separation 92 Eyelet failure 8 Sole penetration 60 Other 16

Answers

Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas

answer : attached below is the pareto chart.

Step-by-step explanation:

      Rearranged table starting from highest frequency

The type of Nonconformity                             Frequency      Percentage

     Heel separation                                               92                   40.89

     sole penetration                                              60                     26.67

       Sole separation                                              36                     16

       Other                                                               16                      7.11

      Lace breakage                                                13                       5.8

     Eyelet failure                                                      8                      3.5

   

Total = 36 + 13 + 92 + 8 + 60 + 16 = 225

Next step : determine the percentages of the various Nonconformity

sole separation = 36 / 225 ) * 100 = 16%

lace breakage = ( 13/225 ) * 100 = 5.8% = 6%

Heel separation = ( 92/225 ) * 100 = 40.89% = 41%

Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%

sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%

other = ( 16 / 225 ) * 100 = 7.11% = 7%

Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot

Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2

Answers

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?

Answers

Answer:

249.60

Step-by-step explanation:

300 x .8 (100%-20%)=240

240 x .04 (4% sales tax)=9.60

price = 240+9.60=249.60

Other Questions
Need help ASAP I need all the answer for this, it is maze runner questions chapter 25-31 I will add branliest PLEASE HURRYWhich statement best completes the diagram?Culture ofSoutheast AsiaThe largest ethnic groupis Javanese.The region is home tohundreds oflanguages?A. The most common religion is Christianity.B. The region is largely isolated from foreign cultures.C. Nearly all people live in farming towns.D. The cuisine is unique and uses strong herbs. When an object is pushed by a force and moves in the direction of the force, work is done on the object. The amount of work equals the force times the distance (W = Fd). A small particle is pushed by a force of 2.6 10-4 newtons over a distance of 3.7 10-3 meters. How much work was done on the particle? Express the answer to the correct number of significant figures and in proper scientific notation. The force did 10 newton-meters of work on the particle. When Johnny Come Marching Home , was a song that had the most significance for the North , Is this statement true or false what point has coordinates (3 1/2, 1)A. Point JB. Point MC. Point ND. Point O What did Texas decide to do as a result of slavery, state rights, and the tariff Calculate the magnitude and angle of the vector. B = 2x+2y He warned us against the pickpockets in this area.rewrite this sentence in passive voice In a 3-digit number, the hundreds digit is one more than the one's digit, and the tens digit is twice the hundreds digit. If the sum of the digits is 11, find the number. PLEASE TELL ME THE CORRECT EQUATION! -18 = -3 + x THANK YOU SOOOOOO MCHOOOO Littleangel plz helpWe headed out to the beach closest to the crash area and it was packed with people. It was devastating news for everybody, says former major league pitcher Jose Santiago, a close friend of Clemente. People were going, Are you sure he boarded the plane? Maybe he didnt. . . . Some would say, Hes clinging to a rock in one of those little islands out there. Clemente's Impact Wanes in Puerto Rico40 Years after His Death, Jorge OrtizWhat do the details in this passage state implicitly? People knew that Clemente did not board the plane.People had hopes that Clemente survived the crash.People saw Clemente clinging to a rock.People were devastated by the news of Clementes death. plz help me! .........? Sergey bought two shares of a stock at $22 each in early January 2018. At the end of a year he earned $2 dividend on each one. By year-end 2018 the price had risen to $22.50. In early January (after the holidays) he bought another share at that price. At year-end 2019 the price was $22.80 and the dividend of $2 a share was again paid out. What was the dollar weighted return on his investment? Order the steps for solving this equation using the quadratic formulaX^2 + 3x - 4 = 0 write 4.25% as a decimal 25. Why were Africans chosen to be slaves in the New World? Thanks for any help that y'all can provide HELPPPPP....!! 0^0Applying the Pythagorean theorem, solve this triangle. Laurie is running in a 5,000-meter race. A kilometer equals about 0.625 mile. About howmany miles long is the race? Helpppp please please THIS IS TIMED NO LINKS or I will report YOUU I WILL MARK BRAINLIEST Please give me an explanation