Solve x2 – 8x = 20 by completing the square. Which is the solution set of the equation?

{–22, 14}
{–14, 22}
{–10, 2}
{–2, 10}

Answers

Answer 1

Answer:

(-2,10)

Step-by-step explanation:

Let's solve your equation step-by-step.

x2−8x=20

Step 1: Subtract 20 from both sides.

x2−8x−20=20−20

x2−8x−20=0

Step 2: Factor left side of equation.

(x+2)(x−10)=0

Step 3: Set factors equal to 0.

x+2=0 or x−10=0

x=−2 or x=10

Answer:

x=−2 or x=10

Answer 2

Answer:

{–2, 10}

Step-by-step explanation: hope it helps ^w^


Related Questions

find the measure of angle in the circle

Answers

Answer:

x = 5 which mean that if you replace 5 with the x you will get 90 as your answer.

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

∠17x+5≅∠18x

17x-18x=-5

-x=-5

x=5

17x5+5=90°

18x=90°

Can someone help and explain how you got the answer? Thanks^^

Answers

Answer:

C) (0,5)

Step-by-step explanation:

f(x) is y and x is x

The table is providing you with points

y-y over x-x gives you a slope of -5

Use the points and turn it into a point-slope equation and convert to y-intercept equation

y-15=-5(x+2)

y-15=-5x-10

y=-5x+5

So the y-intercept is 5 or (0,5)

A ride at an amusement park has two options for cars, one that holds 6 passengers and one that holds 3 passengers. If the ride designer wants to make sure that each run holds at least 12 passengers, which graph represents the overall equation and shows the possible combinations of the number of 6-passenger cars, x, and the number of 3-passenger cars y (not all points may not apply to the scenario)? On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (4, 0). Everything above and to the right of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the left of the line is shaded. On a coordinate plane, a solid straight line has a negative slope and goes through (0, 4) and (2, 0). Everything to the right of the line is shaded.

Answers

Answer:

The answer is the last one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:


How do I do this?
Help:)

Answers

Answer:

Step-by-step explanation:

To graph that you would start at 4 because that's your y-intercept then you would move down by 1 because z is considered 1 and the negative is only applied to the rise and the run is 3 so from point 3 you would move to the right 3 times and that would be your second point.

Help my sister again she got 5 or 3 more questions left I’m in high school and still forgot this

Answers

Answer:

-2

Step-by-step explanation:

The opposite of a positive is a negative

the opposite of 2 is -2

Answer:

Is this a joke- or fr-

Step-by-step explanation:

Below are two parallel lines with a third line intersecting them.



x =x=x, equals
^\circ

degrees

Answers

Answer:

x=50

Step-by-step explanation:

That is becasue they are in the same spot on different parallel lines.

SOMEONE HELP!!b ASAP ! I’ll give brainliest!!! Please and ty !!

Answers

Answer: first multiply the radius by 3.14 them multiply that by the heigh. Then go to cylinder b and do the same. Compare the difference between amounts in the cylinders and you have your answer

Step-by-step explanation:

please help asap!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: 8

Step-by-step explanation:

The distance Grayson hikes VARIES DIRECTLY with how long it takes him. Write the EQUATION that matches this situation.​

Answers

Answer:

d=ct

Step-by-step explanation:

Let d be the distance Grayson hiked. Let t be the time he took for this hiking.

Given, d is directly proportional to t,

=> d = ct, where c is the constant of proportion.

A cylinder has a diameter of 10 units. Its radius ___ is units. If its height is twice its radius, its height is____ units. Its volume is about ___cubic units ​

Answers

Volume of cylinder is 785.7 square units

HELP ASAP
Todd purchased 8 gallons of gasoline for $30. The equation y = 3.68x represents the cost in dollars, y, Hope paid for purchasing x gallons of gasoline. Which statement is true?


A
Todd paid $0.07 more per gallon of gasoline than Hope.
B
Todd paid $0.07 less per gallon of gasoline than Hope.
C
Todd paid $0.08 more per gallon of gasoline than Hope.
D
Todd paid $0.08 less per gallon of gasoline than Hope.

Answers

Answer:the answer would be A

Step-by-step explanation:

30 divided by 8 = 3.75 which is the ammount of money per galon that Todd spent. There is a 7 cent difference between the ammount todd payed per gallon and the ammount Hope payed for gallon.

Todd paid $0.07 more per gallon of gasoline than Hope is the correct alternative.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that Todd purchased 8 gallons of gasoline for $30. The equation y = 3.68x represents the cost in dollars, y, Hope paid for purchasing x gallons of gasoline.

Unit rate of gasoline in case of Todd will be -

{T} = (30/8) = $3.75

Unit rate of gasoline in case of Hope -

{T} = (30/8) = $3.68

We can write -

$3.75 - $3.68

$0.07

Therefore, Todd paid $0.07 more per gallon of gasoline than Hope is the correct alternative.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

what is 2+2*4 UMM SINCE I HAVE TO WRITE MORE CHARACTERS EEEEEEEEEEEEE :>

Answers

Answer:

4*4=16

Step-by-step explanation:

Answer:

ITS 22 MY G

Step-by-step explanation:

what’s is the answer to (-20)-7= I’m confused

Answers

Answer:

140

Step-by-step explanation:

You just multiply them together! :)

Answer:

-27

Step-by-step explanation:

2x+y<-6
graph the inequality on the axes below.

Answers

Answer:

1 point on (0,-6) and the other on (-3,0)

the left side of the graph should be shaded if you need to

Step-by-step explanation:

Can i get a little help with this?

Answers

Answer:

c

Step-by-step explanation:

hope this helps

:)

Answer:

C

Step-by-step explanation:

which pair of lines is the graph...

Answers

which one is the other one at top?
I know that r is one of them but the other is not givin in the photo supplied

Determine whether the relation is a function. (-11, 2), (-9,2), (-7, 3). (-5; 3). (-3.3)
A. yes
B. no
please help, brainliest if right

Answers

Answer:

yes it is

Step-by-step explanation:

each input only has one output (there arent any repeating numbers for x)

Simplify
(-1+4i)(9-4i)

Answers

Answer:

B 7+40i

Step-by-step explanation:

Answer:
7+40i

I hope this helped :)

Solve the system of equations from Problem #4.

A:(4, -1)
B:(-1, -3)
C:(16, 4)
D:(9, 1)

Answers

Answer:

A. (4,-1)

Step-by-step explanation:

solving by addition/elimination

2x-5y=13 *(2)

4x-10y=26

-8x+10y=-42

_________

-4x= -16

x= 4

2(4)-5y = 13

8-5y=13

-5y=5

y= -1

Graph the parabola.
y=3(x-2)²+1
Plot five points on the parabola: the vertex, two points to the left of the vertex, and two points to the right of the vertex. Then click on the graph-a-function
button.

Answers

Answer
Vertex:(2,1)
Focus:(2, 13/12)
Axis of symmetry: x=2
Directrix: y=11/12

A parabola is a curve with a focus and a directrix. The focus is any point is at an equal distance while the directrix  is a fixed line. The vertex of the parabola is (2,1), the two points to the right are (3,4) & (4,13) while the two points to the left are (1,4) & (0,13).

Given that:

[tex]y = 3(x - 2)^2 + 1[/tex]

A parabola is represented as:

[tex]y = a(x - h)^2 + k[/tex]

Where:

[tex]Vertex = (h,k)[/tex]

So, by comparison; the vertex of the function is:

[tex]Vertex = (2,1)[/tex]

To plot two points to the right, we select x values greater than 2.

Let: [tex]x = 3[/tex]

So, we have:

[tex]y = 3(x - 2)^2 + 1[/tex]

[tex]y = 3(3 - 2)^2 + 1[/tex]

[tex]y = 4[/tex]

Let [tex]x = 4[/tex]

[tex]y = 3(x - 2)^2 + 1[/tex]

[tex]y = 3(4 - 2)^2 + 1[/tex]

[tex]y =13[/tex]

To plot two points to the left, we select x values less than 2.

Let: [tex]x=1[/tex]

So, we have:

[tex]y = 3(x - 2)^2 + 1[/tex]

[tex]y = 3(1 - 2)^2 + 1[/tex]

[tex]y = 4[/tex]

Let [tex]x = 0[/tex]

[tex]y = 3(x - 2)^2 + 1[/tex]

[tex]y = 3(0 - 2)^2 + 1[/tex]

[tex]y =13[/tex]

In conclusion:

The vertex of the parabola is (2,1)The two points on the right are (3,4) and (4,13)The two points on the left are (1,4) and (0,13)

See attachment for graph

Read more about parabola at:

https://brainly.com/question/20333425

please help :(
What is the equation of the line that passes through the point (2,-6) and has a slope of -1?

Answers

Answer:

y = -x - 4

Step-by-step explanation:

Plug in the point and slope into the equation y = mx + b, and solve for b:

y = mx + b

-6 = -1(2) + b

-6 = -2 + b

-4 = b

Then, plug in b and the slope into y = mx + b

y = -1x - 4

y = -x - 4 is the equation of the line

Find the slope of the line in the simplest form.
A. m= 5/1
B. m= -1/5
C. m= -0.2
D. m= -5/1

Answers

The answer is D
(3,0),(2,5)
Slope = (Y2-Y1)/(X2-X1)= (5-0)/(2-3)
= -5/1

Write an equation of the line in slope-intercept form (0,-2) ,(2,2)

Answers

Answer:

y=2x-2

Step-by-step explanation:

Slope intercept Formula: y=mx+b

y= Y coordinate

m = slope

x = x coordinate

b = y intercept

Point Slope Formula: y-y1=m(x-x1)

Slope Formula: m= y2-y1 / x2-x1

2 - (-2) / 2-0 = 4 / 2 = 2

y- (-2) = 2 (x - 0) = y+2=2x-0

y=2x-2


22. Jack bought a tree to plant in his front yard. The tree grows at an approximate rate of 9 inches per year. After 4 years, the tree is 5 feet tall. Write an equation in slope-intercept form to find the height (in feet) of the tree, y, after x years.

Answers

Answer:

y=9x+60

Step-by-step explanation:

An equation in slope-intercept form to find the height (in feet) of the tree, y, after x years is y=9x+60.

Given that, the tree grows at an approximate rate of 9 inches per year.

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

We know that, 1 feet =12 inches

So, 5 feet =60 inches

Let the height of the tree be y and the number of years be x.

Now, equations is y=9x+60

Therefore, an equation in slope-intercept form to find the height (in feet) of the tree, y, after x years is y=9x+60.

To learn more about the slope intercept form visit:

brainly.com/question/9682526.

#SPJ5

Guys quickly what is 1% of 75?

Answers

Answer:

the answer is 0.75

...................................

Isn’t it .75 ??

I’m not sure I forgot how to do this

Help Me! Easy math homework help needed please! Find the value of x. Please do all 3!

Answers

Answer:

1. x = -4

2. x = -1/4 or -.25

3. m = 3

1. x = -2.16 or [tex]-2\frac{1}{6}[/tex] or 13/6

2. x = -1/4 or -0.25

3. m = 3

( 10 points ) What is the value of the expression 5/6 + 2/3


A. 27/18

B. 9/6

C. 7/9

D. 21/27

E. 3/2

Answers

Answer:

E. 3/2

Step-by-step explanation:

5/6 + 2/3 = 3/2

Students in the science lab are measuring the mass of an object on a triple beam balance. the object has a mass of 38 grams.

Answers

Answer:

is there a picture

Step-by-step explanation:

Answer:b

Step-by-step explanation:did it

Which expression is equivalent to the question?

Answers

Answer:the third one I suppose

Step-by-step explanation:

If you subtract 18 from my number and multiply the difference by -2​, the result is -20​. What is Sara​s ​number

Answers

Answer:

28!

Step-by-step explanation:

28 - 18 = 10,

10 x -2 = -20

Other Questions
3) GRIP is a rectangle with: PS = 6x - 4 GI = 10x +4 m A company orders 9 boxed lunches from a deli for $115.20. If each boxed lunch coststhe same amount, what is the unit cost of each boxed lunch? (ASAP) (FOOD SCIENCE) how does the addition of starches provide structure to a food product Which of the following is not an ecosystem service? Cambia al gnero femenino.un poltico - ______________ el ingeniero - _____________un profesor - ______________ el msico - ______________un conductor - _____________ el italiano - ______________ I need help because I suck at this Conjugate the following verb.Levantarse What is the exact value of sin(105)? Write an expression for the perimeter of the triangle shown below: 1. From the beginning of Act 1, Torvald calls Nora several different pet names. What do these name suggest about Torvald and his marriage? what are the solutions to (x+7)2 =81 What is the theme of Nelda's Adieu A Nelda is moving and is reminiscing about her memories with friends. B Nelda does not want to leave her hometown. C Winning isn't everything. D A positive attitude can be beneficial. PLS HELP!! I WILL GIVE THE FIRST GOOD ANSWERS BRAINLIEST!!! What most accurately describes the difference in ATP production between aerobic respiration and anaerobic respiration Which best describes why making political allies is a key strategy for lobbyists?It reduces competition between opposing lobbyists.It enables multiple issues to be addressed at once.It places more pressure on lawmakers to vote a certain way.It increases the number of supporting votes for pending legislation. Find the slope represented in the table below.7-30-5413-6620- 108 PLEASE HELP!!!!!! BRAINLIEST!!!!!!!!!!!!!!Why One Parent Should Stay at Home It's a busy world, and parents have less time than ever to spend with their children. One solution for this problem is having one parent stay at home. Being primarily cared for by a parent at home benefits children for many reasons. Just as infants and toddlers benefit greatly by being cared for by a parent at home, so do older children who thrive under parental supervision. Parents who stay at home can spend hours of quality time with the children every day. In contrast, working parents have less time each day to spend with the children. The time spent at work is time spent away from the children. Add a daily commute, errands, grocery shopping, and housework to the list, and working parents have even less time to spare at home. The already-tired working parent has less energy and time to bond with his or her children. A child with a problem or concern is likely to ask for advice only from parents with whom he or she feels a strong bond. The parent who stays at home has time to educate the child and help him or her overcome academic problems and other issues. According to the U.S. Department of Health and Human Services, children who spend more time away from their parents' care showed more behavioral problems. Young children at daycare received less attention from adults compared to children who were cared for by a parent at home. More families should consider the option of one parent staying at home. With a few economic sacrifices and compromises, many families can afford to have one parent stay home for a few years to raise the children. Parents should consider their children's futures. Their children should have at least one parent stay at home. After all, a price tag cannot be put on the value of successful and satisfying parenting.Which sentence could be added to the second paragraph to strengthen the author's argument?A.Many families simply cannot afford to have one parent stay at home to raise the children.B.Approximately 17% of people in the United States work part-time, allowing them to be home with their children some of the time.C.Children who stay at home with one parent may have some problems with shyness later on.D.According to the United Nations, more than 85% of men and 65% of women work more than 40 hours a week outside the home. PLEASE HELP!!!!!!!!!!!!!!!!!!!The system of equations shown is solved using the linear combination methodStartLayout 1st row 1st column 6 x minus 5 y = negative 8 right-arrow 2nd column 6 x minus 5 y = negative 8 right-arrow 6x minus 5 y = negative 8 2nd row 1st column negative 24 x + 20 y = 32 right-arrow one-fourth (negative 24 x + 20 y = 32) right-arrow negative 6 x + 5 y = 8 with Bar Underscript 3rd row 3rd column 0 = 0 EndLayoutWhat does 0 = 0 mean regarding the solution to the system?There are no solutions to the system because the equations represent parallel lines.There are no solutions to the system because the equations represent the same line.There are infinitely many solutions to the system because the equations represent parallel lines.There are infinitely many solutions to the system because the equations represent the same line. Zahra's softball team needs money for team T-shirts. The coach makes some fundraising suggestions, while team members brainstorm their own ideas. They vote on the one they like best.What is the main benefit of collaborating on fundraising ideas?Team members are able to ignore the coach.The team can get better-looking T-shirts.The team shows they are more creative than the coach.Team members are involved in the decision. Does any one know the correct choice for these?! If you are correct ill mark you as the best answer!