Sarah solved a quadratic equation. Her work is shown below, with Step 1 missing.
What could Sarah have written as the result from Step 1?
2(x + 1)2 +6 = 134
Step 1
(x+1)2 – 64
Step 2
2+1 =18
Step 3
x = -9 or x = 7 Step 4
Khan academy quiz

Answers

Answer 1

Answer:

c.2(x+1)^2=128

Step-by-step explanation:

Answer 2

The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The equation is given below.

2(x + 1)² + 6 = 134

Simplify the equation, then we have

2(x + 1)² + 6 = 134

2(x + 1)² = 128

(x + 1)² = 128 / 2

(x + 1)² = 64

Take square root on both sides. Then we have

(x + 1) = ± 8

x = - 1 ± 8

x = - 1 - 8, - 1 + 8

x = - 9, 7

The missing step that Sarah has to write as the result of Step 1 will be 2(x + 1)² = 128.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2


Related Questions

Which book should they choose for the district?

Answers

Answer:

A

Step-by-step explanation:

While the obvious answer might be Book B because that had the most amount of teachers that approved it, I looked at it a different way. I think that the best book has the greatest percentage of teachers approved compared to the total teachers who reviewed the book. Let's apply this to the 4 books.

A: Approved = 8 Total = 9    8/9 = 88%

B: Approved = 24 Total = 29    24/29 = 83%

C: Approved = 12 Total = 16    12/16 = 75%

D: Approved = 20 Total = 26   20/26 = 77%

As you can see, Book A should be chosen because it has the highest percentage. I hope this helps and makes sense!

Can someone answer this question please please help me I really need it if it’s correct I will mark you brainliest .

Answers

Formula for the area of a quarter circle: A = (pi x r^2) / 4

A = (pi x 1^2) / 4

A = 1pi / 4

A = 0.79 square centimeters

Hope this helps! :)

a fair coin is tossed five times. Calculate the probability of obtaining
at least one head.

Answers

Answer:

Step-by-step explanation:

dont know sorry

Answer:

1/5

Step-by-step explanation:

There are 5 heads so the provability of having one head is 1/5

Which of the following values is the solution to the equation

-16 + x = -30 ?

1.)-2
2.)-14
3.)-480
4.)-46

Answers

Answer:

Step-by-step explanation:

x - 16 = -30

x = -14

Answer:

3.

Step-by-step explanation:-16 + x = -30

Katie wants to collect over 100100100 seashells. She already has 343434 seashells in her collection. Each day, she finds 121212 more seashells on the beach. Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, ddd, it will take Katie to collect over 100100100 seashells.
Graph the solution set to this inequality.

Answers

Answer:

34+12d>100

Step-by-step explanation:

there u go

Meg saved coins she found for a year. She found a total of 95 pennies, 13 nickels, 41 dimes, and 11 quarters. She would like to evenly divide the coins into 4 piggy banks. How many coins will go in each piggy bank?

Answers

Answer:

40 coins in each piggy bank

Step-by-step explanation:

Add all the coins together.

95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins

Divide the number of coins by 4.

160 coins divided by 4 piggy banks= 40 coins in each piggy bank

I hope this helps ;)

Which expression is equivalent to 8 x minus 12 y + 32?
A.16 (0.5 x minus 4 y + 32)
B.16 (0.5 x minus 0.75 y + 32)
C.16 (0.5 x minus 0.75 y + 2)
D.16 (0.5 x + 4 y + 2)

Answers

Answer:

Because is said

Step-by-step explanation:

C

Remove all perfect squares from inside the square root√450
I need an answer ASAP please.

Answers

Answer:

[tex]\sqrt{450}= 21.21[/tex]

Step-by-step explanation:

[tex]\sqrt{450}=\sqrt{225*2}=15\sqrt{2}=21.21[/tex]

The required expression is 15√2.

What is simplification?

In mathematics to operate and interpret the function to make function simple or more understandable is called simplification.

Simplification
= √450
=√3*3*5*5*2
=3*5√2
=15√2

Thus, the required expression is 15√2.

Study more about simplification here:
https://brainly.com/question/12501526

#SPJ2


simplify 15x-3(2x+4)

Answers

Answer:

9x−12

Step-by-step explanation:

Answer:

[tex] = 9x - 12[/tex]

Step-by-step explanation:

[tex]15x - 3(2x + 4) \\ 15x - 6x - 12 \\ = 9x - 12[/tex]

Which equation can be used to find the surface area of the cylinder?

d = 6 cm

h = 14 cm

S= 2(14)2 + 25(14)(6)

S=2(3)2 + 2(3)(14)

S=28(6)2 + 25(6)(14)

S=2643)2 +27(3)(14)

Answers

Answer:

S = π( 2(9) + 2(3)(14))

Step-by-step explanation:

Here we are to select which of the options best describe the equation that could be used to find the surface area of the cylinder.

Mathematically,

the surface area of a cylinder can be calculated using the formula

S = 2 π r^2 + 2 π rh

from the question, we have r as d/2 = 6/2 = 3cm and h = 14cm

We plug these two values into the equation above

Thus, we have

S = 2 * π * 3^2 + 2 * π * 3 * 14

S = π( 2(9) + 2(3)(14))

write a function in the form y=mx+b for the line that contains the points (-8.3, -5.2) and (6.4,9.5)

Answers

Answer:

y = x + 3.1

Step-by-step explanation:

As we move from (-8.3, -5.2) to (6.4,9.5), the horizontal change ("run") is 14.7 and the vertical change is 14.7.  Thus, the slope is m = rise / run = 14.7 / 14.7 = 1.

Write out y = mx + b.  Because  m = 1, we have

9.5 = 1(6.4) + b, or  9.5 = 6.4 + b, with the result that b = 3.1

and so the desired equation is                 y = x + 3.1

Answer these maybe? I’m confused

Answers

Step-by-step explanation:

c) j = 95 degree (similar triangle)

d) jk/4 = 4.6/9.2

jk/4 = 1/2

jk = ?

Answer:

angle k = 30.4

Step-by-step explanation:

Large triangle :

95 + 15 = 110

180 - 110 = 70 degrees

Now, the second triangle is 2.3 times larger than the first one.

(9.2 divide 4 = 2.3)

so, 70 degrees divided by 2.3 = 30.4

If one discount point costs the borrower 1% of the loan amount and increases the lender's yeild by ⅛ of 1 percent how many discount points must be purchased to lower the interest rate by 1 percent

Answers

Answer:

He has to buy 8 of course

Step-by-step explanation:

What does 3 to the zero power equal?

Answers

Answer:

1

Step-by-step explanation:

any number to the power 0 is equal to 1

Answer:  1

Step-by-step explanation:

n^0 = 1

any number raise to zero is one

Let m = 6x + 5.

Which equation is equivalent to (6x + 5)2 – 10 = -18x – 15 in terms of m?

Answers

Answer:

m² + 3m - 10 = 0

Step-by-step explanation:

Given

(6x + 5)² - 10 = - 18x - 15 ← factor out - 3 from each term

(6x + 5)² - 10 = - 3(6x + 5)

Now let m = 6x + 5 in the equation, that is

m² - 10 = - 3m ( add 3m to both sides )

m² + 3m - 10 = 0

Answer:

m = 2

Step-by-step explanation:

(6x + 5)2 – 10 = -18x – 15

12x + 10 - 10 = -18x - 15

12x + 18x = -15

30x = -15

x = -15/30

x = -1/2

m = 6x + 5

m = 6(-1/2) + 5

m = -3 + 5

m = 2

Geoff thinks of a number. He deducts five from it and the divides the result by three. His answer is 25. what number did he start with?

Answers

Answer:

80

Step-by-step explanation:

Geoff's number is 80. We can figure this out by reversing the steps.

Instead of dividing, we can multiply 3 by 25 to get the number in which 5 was subtracted to get that number.

3 x 25 = 75

75 + 5 = 80

Therefore, Geoff's number is 80.

Answer:80

Step-by-step explanation:

Alice is building a​ fenced-in pen in her backyard for her ​dog, as shown. Write an expression that represents the total amount of fencing she will​ need, in feet. If the longer dimension of the rectangle is 27 ​feet, how many feet of fencing does Alice ​need? x plus 13 x Write an expression that represents the total amount of​ fencing, in feet. Choose the correct answer below. A. 4xplus26 Your answer is correct.B. 4xplus52 C. 2xplus26 D. 2xplus13 Alice needs nothing feet of fencing. Enter your answer in the answer box and then click

Answers

Answer: 4x + 52

Step-by-step explanation:

Dimension of pen:

The question seems incomplete or incoherent

However, to find the number of feet of fencing required, we calculate the perimeter of the rectangle, which is given by:

The perimeter of rectangle = [2 × ( length + width)]

If longer dimension = 26 feets and width = 2x

Perimeter = 2(2x + 26)

Perimeter = 4x + 52

Therefore, expression for fencing required = (4x + 52)

ERRE
Which point-slope equation represents a line that passes through (3, -2) with a slope of ?
y-3=-(x + 2)
y-2 = (x-3)
y+2=-(x - 3)
y+3 = (x + 2)

Answers

Answer:

the answer is y+2=(x-3). It wasn't clear what the slope was supposed to be but if it is -1 then the third option is correct. Hope this helps :)

Answer:

aaku is right its the 3rd option why are you people rating his answer 2 stars it caused me to get the answer wrong

Step-by-step explanation:

If you are making a complementary angle and one angle is 70 degrees. What must the other angle measure?

Answers

Answer:

20 degrees

Step-by-step explanation:

complementary angles sum up to 90 degrees

Answer:

[tex]20 \: \: degrees[/tex]

Step-by-step explanation:

complementary angles mean either of two angles whose sum is 90°.

[tex]x + 70 = 90 \\ x = 90 - 70 \\ x = 20 \: \: degrees[/tex]

I need to pass this please any help is appreciated

Answers

Answer:

GF = GE so GE = 7x-3

Answer:

GE = 38

Step-by-step explanation:

6x + 2 = 7x - 3

6x + 5 = 7x

5 = x

Put the variable into the equation of GF, since GF and GE make a square therefore are equal.

7(5) - 3

GE = 38

Please help
Algebra 1
Look at the photo below...

Answers

horizontal line: x=9

vertical line: y=3

You can plug it into the application demos to see it visually just put y=3 on one line and x=9 on the other

please help !!

use this set of points to help answer 11a and 11b:
(0,9) (2,8) (4,7) (6,6) (8,5)

11a. Write a point that could be added so that the set of points represents a function.

11b. Write a point that could be added so that the set of points does not represent a function.

Answers

Answer:

11a.  (1, 1)

11b.  (2, 2)

Step-by-step explanation:

A function cannot have an x-value that produces multiple different y-values.  A function can have a y-value that produces multiple different x-values.

For this question, you could put in a number of different points and still get the right answer.  If you work through this problem yourself again and pick different points from mine, it doesn't mean that it is wrong.  As long as it follows the rules stated above, you will get the correct answer.

11a.  (1, 1)  

This is an x-value that was not stated in the data set.  This means that, as far as we know, there is only one y-value for the x-value of 1.

11b.  (2, 2)

This is an x-value that was stated in the data set.  This means that for the x-value of 2, there are two y-values: 2 and 8.

Use the work shown below to find the simplified product. StartFraction 25 x squared Over 2 x + 6 EndFraction times StartFraction 2 Over 5 x EndFraction StartFraction 25 x squared Over 2 (x + 3) EndFraction times StartFraction 2 Over 5 x EndFraction Choose the simplified product.

Answers

Answer:

c

Step-by-step explanation:

:)

Answer:

C.

Step-by-step explanation:

5x/x+ 3

Stephanie is comparing web sites for downloading music. One charges a $5 membership fee plus $0.50 per song. Another charges $1.00 per song but no membership fee. Write and solve an equation to find how many songs Stephanie would have to buy to spend the same amount on both web sites. Which of the following shows the correct number of songs?

Answers

Answer: She would need to listen to 6 songs. 5+0.50*2=1*6

Step-by-step explanation: The first website has a $5 mebership fee plus 0.50 cents per song which means 5 + 0.50 *2 equals $6. The other website is $1 per song no membership fee.

whats the radius for the circle? x^2+2x+y^2+4y-6=0

Answers

Answer:

r = [tex]\sqrt{11}[/tex]

Step-by-step explanation:

So we need to complete the square for both parts of the equation

First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6

So first we can complete the square for x² + 2x

To do so we need to use [tex](\frac{b}{2} )^{2}[/tex] to figure out the number we need to add to both sides

In this case our b is 2, so substituting this in we get [tex](\frac{2}{2} )^{2} =(1)^{2} =1[/tex]

Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1

Now we can follow the same steps to complete the square for y² + 4y

Here our b is 4, so substituting this in we get [tex](\frac{4}{2} )^{2}=(2)^{2} =4[/tex]

Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4

Now condensing everything we have (x + 1)² + (y + 2)² = 11

The formula for a circle is (x - h)² + (y - k)² = r²

In our equation we have r² = 11

To find the radius we need to take the square root of both sides [tex]\sqrt{r^{2}} =\sqrt{11}[/tex] to get r = [tex]\sqrt{11}[/tex]

Find the size of each interior angle of a regular polygon of 15 sides.

Answers

Answer :

156°

Explanation :

Each triangle has an angle sum of 180 degrees.

The sum of the interior angles of the 15 sided polygon =

(n-2)180°

(n-2)180°

(15-2) × 180°

13 × 180 = 2340 °

Since the 15 sided polygon is regular, this total is shared equally among the 15 interior angles. Each interior angle must have a measure of

2340° ÷ 15 = 156 °each

Plzz help me with thsi quistion

Answers

Answer:

98 ft

Step-by-step explanation:

14x7

=98 ft

Answer:

98 ft

Step-by-step explanation:

What is the distance between ( 8 , − 3 ) (8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and ( 4 , − 7 ) (4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis?

Answers

Given Information:

Point 1 =  (8, −3)

Point 2 =  (4, −7)

Required Information:

Distance between points = d = ?

Answer:

Distance between points = d = √32 = 5.657

Step-by-step explanation:

We are given two points,

(x₁, y₁) = (8, −3)

(x₂, y₂) = (4, −7)

We are asked to find the distance between these two points.

The distance is given by

[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]

Substitute the given coordinates into above equation

[tex]d = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 } \\\\d = \sqrt{(4 - 8)^2 +(-7 - (-3))^2 } \\\\d = \sqrt{(-4)^2 +(-7 +3)^2 } \\\\d = \sqrt{(-4)^2 +(-4)^2 } \\\\d = \sqrt{16 +16 } \\\\d = \sqrt{32} \\\\d = 5.657[/tex]

Therefore, the distance between (8, −3) and (4, −7) is 5.657 units.

Answer:

32 square

Step-by-step explanation:

If (− 1 3 ) + 7 = 4, then what is the value for ( 1 3 ) + 6?

Answers

Answer:

I'm not sure this is an IQ question or not, but logically:

If (− 1 3 ) + 7 = 4, then (− 1 3 ) = 4 - 7 = -3

=> ( 1 3) = 3

=> (1 3) + 6 = 3 + 6 = 9

Hope this helps!

:)

SHOW WORK FOR BRAINLEST!
Are the two figures similar? If so, give the scale factor of the first figure to the second figure.

Answers

Answer:

Step-by-step explanation:

The scale factor is 2/3

2/3=2*2/2*3=4/6

2/3=2*3/3*3=6/9

The two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]

What is Scale factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

From the given figure take the same sides of both figure

Width = [tex]\frac{6}{9}=\frac{2}{3}[/tex]

Length = [tex]\frac{4}{6}=\frac{2}{3}[/tex]

Height = [tex]\frac{2}{3}[/tex]

Therefore the scale factor is [tex]\frac{2}{3}[/tex]

Hence, the two figures are similar and the scale factor of the first figure to the second figure is [tex]\frac{2}{3}[/tex]

Learn more about Scale factor here

https://brainly.com/question/22312172

#SPJ2

Other Questions
Given f(x)=x^3+2x+k. and x+1 is a factor of f(x), then what is the value of k? story: a quick note on getting better at difficult things PART A: Which of the following identifies the central idea of the textAIt is important to accept and expect struggle when learning a new skill.BIt is likely you will never fully master a new skill, but it is the journey that is important.CFrench is one of the hardest languages to learn, so people who attempt to learn it must be mentally tough.DIt is better to find something that you excel at, rather than struggle with something that doesnt come naturally. You will flip a coin 5 times and roll a die 10 times and record your findings.What is the probability that you get heads and the number 1. Write youranswer as a percent.Put your answer here:P (Heads and 1)= Approximately what percentage of law enforcement officers reported having a social media account in 2011? About 25%Over 50%Over 75%nNearly 100% If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained?The sum of the two dice is less than 5.O A. 4 waysOB. 10 waysOC. 6 waysOD. 5 ways Each nucleus of a cell contains:genes and chromosomesgenes and chloroplastschromosomes and chloroplastschlorophyll and chloroplasts Kim's softball team was playing in the championship game. When there were 444 innings left, the team was losing by a score of 171717 to 666 points. In the last 444 innings, her team scored the same number of points per inning, and the other team did not score any more points. Kim's team won with the most points.Write an inequality to determine the number of points per inning, ppp, Kim's team could have scored. i have to write a letter to my friend in Spanish.QUESTIONS-Escribe una carta a tu amiga espanolamenciona--Que haces normalmente durante la semana?-Tu opinion sobre las peliculas?-Como fue tu ultimo cumpleanos?-que vas a hacer fin de semana?any tips , i want a good grade :) 1. What were two outcomes/effects of the Slave Trade on the world?2. Which region of the 13 colonies would you choose to live and give TWO reasons why? ABC Corporation has declared a rights offering to stockholders of record on Friday, December 10th. Under the offer, shareholders need 10 rights to subscribe to 1 new share at a price of $19. Fractional shares can be rounded up to purchase 1 full share. As of the ex date, the stock is trading at $29. The value of the right is: Katie has 36 coins in her jar (nickels, dimes, and quarters) totalling $4.20. She has twice as many dimes as quarters. How many nickels does Katie have? Walking, jogging, and light swimming are what types of exercisesa. aerobic exercisesb. isotonic exercisesc. anaerobic exercisesd. flexibility exercises what is the tone in tangled? please help me im stuck Simplify: 9p - 2p2 + 5p when and for what did Einstein gain international fame what is 8h+7m need help please!!!! Because of his job Joseph knows how to operate machinery design pounds and has knowledge of geography and math he is also colorblind which career is Joseph most likely a part of 1. A 99.8 mL sample of a solution that is 12.0% KI by mass (d: 1.093 g/mL) is added to 96.7 mL of another solution that is 14.0% Pb(NO3)2 by mass (d: 1.134 g/mL). How many grams of PbI2 should form?Pb(NO3)2(aq) + 2 KI(aq) PbI2(s) + 2 KNO3(aq) Ethan has a cupcake tray that holds 24 cupcakes. he has batter for one more cupcake. What limiting factor is this most closely relates to in the environment