solve y=x^2+23 for x

Answers

Answer 1

For this case we must clear x from the given equation:

[tex]y = x ^ 2 + 23[/tex]

We passed 23 subtracting the other side of equality:

[tex]y-23 = x ^ 2[/tex]

By definition, [tex]a ^ 2 = b[/tex]is written as [tex]a = +/-\sqrt{b}[/tex]

So, we have:

[tex]x = + / -\sqrt{(y-23)[/tex]

So, the solution of [tex]y = x ^ 2 + 23[/tex] for x is:

[tex]x = + / -\sqrt{(y-23)[/tex]

Answer:

[tex]x = + / -\sqrt{(y-23)[/tex]

[tex]x1=+\sqrt{(y-23)[/tex]

[tex]x2=-\sqrt{(y-23)[/tex]


Answer 2

Answer:

x = +/- (square root) y-23

Step-by-step explanation:

A P E X


Related Questions

How do you change 1/9^4 as an expression using a negative exponent other than -1? Please show how you got your answer.

Answers

We use an exponent law here.

Since 1/xⁿ = x⁻ⁿ for positive number a and real number n, it follows that

  1 / 9⁴ = 9⁻⁴

The expression 1/9^4 can be changed to an expression using a negative exponent by applying the negative exponent rule, resulting in 9^-4.

To change the expression 1/9^4 to one using a negative exponent, we can apply the property of negative exponents which states that x^-n = 1/x^n. The expression 1/9^4 can thus be written as 9^-4 because we are in essence taking the inverse of 9 raised to the fourth power.

Here is the step-by-step explanation:

Identify the base and the positive exponent in the original expression: 1/9^4. Here, the base is 9, and the positive exponent is 4.Apply the negative exponent rule: x^-n = 1/x^n. This tells us that to convert a fraction like 1/x^n into an expression with a negative exponent, we simply keep the base the same and make the exponent negative.Thus, 1/9^4 becomes 9^-4.

are -159/396 and - 26/33 equivalent fractions?
True or false







Answers

Your answer is False!!

Given the following fractions as of -159/396 and -26/33....As a decimal which you have to convert it to would be

-159/396=-0.41515

and

-26/33=-0.787879

Hope this helps you.

                                                         

Answer:

False

Step-by-step explanation:

For every 3 days of vacation, Farah packs 4 outfits.Which of the following statements are true?Choose 3 answers:Choose 3 answers:(Choice A)AFarah would pack 6 outfits for an 888-day vacation.(Choice B)B Farah would pack 8 outfits for a 6-day vacation.(Choice C)CFarah would pack 10 outfits for a 9-day vacation.(Choice D)DFarah would pack 16 outfits for a 12-day vacation.(Choice E)Farah would pack 28 outfits for a 21-day vacation

Answers

You know that:

Farah packs 4 outfits for 3 days of vacation.

Then Farah packs:

8 outfits for 6 days of vacation (choice B);12 outfits for 9 days of vacation;16 outfits for 12 days of vacation (choice D);20 outfits for 15 days of vacation;24 outfits for 18 days of vacation;28 outfits for 21 days of vacation (choice E).

Answer: correct choices are B, D and E.

Answer:

We have been given that  for every 3 days of vacation, Farah packs 4 outfits.

That means [tex]\text{one day vacation she packs}\frac{4}{3}outfits.[/tex]   (1)

Multiply number of vacation with [tex]\frac{4}{3}[/tex] to get number of outfits.

Choice A is correct according to equation (1)

1.Farah would pack 6 outfits for an 8-day vacation.

Choice B is other way round of A so correct.

2.Farah would pack 8 outfits for a 6-day vacation.

Choice D is correct

3.Farah would pack 16 outfits for a 12-day vacation.

Choice E is also correct.

4.Farah would pack 28 outfits for a 21-day vacation.


I’m lost again lol can someone help?

Answers

the answer is c. (18)(60)t would give you the amount of corn removed from the silo to be subtracted from the original amount, which would tell you how much corn is in the silo after t  hours. hope this helps :)

Play A's longest home run distance is 500 ft. There are 5280 ft in 1 'll how many home runs would player b need to hit at his longest distance for the total to be greater than 1 ml

Answers

Answer

500*b > 5280

Solution

To get this to an answer, you have to divide by 500

b > 5280/500

b must be greater than 10.56 which is the answer to 5280/500

So you should say that he needs to hit 11 home runs, because 0.56 home runs is not possible.

Answer

11 home runs

One box holds 16 crayon another holds 24 write a sentence using words that compare crayon in the two boxes

Answers

The box that holds 24 crayons holds 8 more than the box that can only hold 16.

The box containing 24 crayons has more crayons than the box with 16, indicating a greater quantity of colors available for artistic expression.

Compare the quantities of crayons in each box: 24 crayons in one box and 16 in the other. By recognizing the numerical difference, infer that the box with 24 crayons has more than the one with 16. The use of the phrase "more crayons" in the sentence reflects this numerical comparison, providing a concise and accurate description of the quantity disparity between the two boxes.

This interpretation aligns with the fundamental understanding that a larger numerical value signifies a greater quantity, facilitating a clear and straightforward expression of the comparison between the two sets of crayons.

Which expression is equivalent to 64y18 – 1000z6?
(4y6)3 – (10z2)3
(16y6)3 – (10z2)3
(16y6)3 – (100z2)3
(4y6)3 – (100z2)3

Answers

Answer:

[tex](4y^6)^3 - (10z^2)^3[/tex]

Step-by-step explanation:

Given: [tex]64y^{18}- 1000z^6[/tex]

Solution:

Option 1) [tex](4y^6)^3 - (10z^2)^3[/tex]

[tex]64y^{18} - 1000z^6[/tex]

So, Option 1 is equivalent to [tex]64y^{18}- 1000z^6[/tex]

Option 2)[tex](16y^6)^3 -(10z^2)^3[/tex]

[tex]4096y^{18} -1000z^6[/tex]

So, Option 2 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]

Option 3)[tex](16y^6)^3 -(100z^2)^3[/tex]

[tex]4096y^{18} -1000000z^6[/tex]

So, Option 3 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]

Option 4)[tex](4y^6)^3 -(100z^2)^3[/tex]

[tex]64y^{18} -1000000z^6[/tex]

So, Option 4 is not equivalent to [tex]64y^{18}- 1000z^6[/tex]

Hence [tex](4y^6)^3 - (10z^2)^3[/tex] is equivalent to [tex]64y^{18}- 1000z^6[/tex]

So, Option A is correct.

The price of a train ticket from Columbus to New York is normally $122.00. However, children under the age of 16 receive a 60% discount. Find the sale price for someone under the age of 16.

Answers

122×.60=73.20
122-73.20=48.80 for a ticket for someone under 16 years old.

Answer:

$48.80

Step-by-step explanation:

If they get a 60% discount, then they only pay 40% of the fare.

So what you have to do is take 40% of 122.00 = 40/100 * 122  = 4880/100 = 48.80

So the sale price is 48.80 dollars

I need to know the answer ?

Answers

2.31 meters in height

2.65m - 0.34m = 2.31 meters

Male and female high school students reported how many hours they worked each week in summer jobs. The data is represented in the following box plots. Box plots titled Males versus Females in Hours Worked Weekly during the Summer with horizontal axis labeled Hours worked per week ranges from 0 to 55. Males box plot with minimum approximately at 15 and maximum approximately at 35 has interquartile range approximately between 20 and 25 and median approximately at 22. Females box plot with minimum at 0 and maximum approximately at 50 has interquartile range approximately between 0 and 25 and median is approximately at 20. Identify any values of data that may affect the statistical measures of center and spread.

Answers

The values of data that may affect the statistical measures of center and spread are the outliers and extreme values in the female dataset.

Statistical measures of center include the mean, median, and mode, while measures of spread include the range, interquartile range (IQR), variance, and standard deviation.

 From the given box plots:

 For males:

- The minimum number of hours worked per week is approximately 15.

- The first quartile (Q1) is approximately 20.

- The median (Q2) is approximately 22.

- The third quartile (Q3) is approximately 25.

- The maximum number of hours worked per week is approximately 35.

 For females:

- The minimum number of hours worked per week is 0.

- The first quartile (Q1) is approximately 0.

- The median (Q2) is approximately 20.

- The third quartile (Q3) is approximately 25.

- The maximum number of hours worked per week is approximately 50.

In the male dataset, there are no apparent outliers or extreme values since the data is relatively compact with a narrow IQR and no data points far from the quartiles.

However, in the female dataset, there are potential outliers or extreme values:

- The minimum value of 0 hours worked per week is an outlier because it is far below the first quartile.

- The maximum value of approximately 50 hours worked per week is an extreme value because it is far above the third quartile.

These outliers and extreme values in the female dataset can significantly affect the measures of center and spread:

- The mean will be pulled down by the minimum value of 0 and up by the maximum value of 50, potentially making it less representative of the central tendency of the data.

- The range will be much larger due to the extreme maximum value.

- The IQR will not be affected by these outliers since it is based on the middle 50% of the data, but the overall spread of the data will be larger due to the presence of outliers.

- The variance and standard deviation will be increased by the presence of these outliers, indicating a larger spread in the data.

 In summary, the outliers and extreme values in the female dataset are the values that may affect the statistical measures of center and spread. These values can skew the mean, increase the variance and standard deviation, and extend the range, making these measures less indicative of the typical work hours for female students.

see picture and please show steps

Answers

The picture is only one white dot

The ____,____, and _____ of three-dimensional figures can be measured.

Answers

Length, Width, and Height or lwh

A, D, and E. Length, width, and height

a dog kennel boards dogs for $8 a day the kennel will also groom a dog for $12 write an equation that gives the total cost in dollars of lodging a dog and having it groomed once before it comes home as a function of the number of days the dog is at the Kennel

Answers

Answer:

T(d) = $12 + ($8/day)d

Step-by-step explanation:

Total(d) = $12 + ($8/day)d, where d represents the number of days the dog is in the kennel.


I think u mean what i put below if not sorry i wasted your answers.....

Bob was taking his dog into his locol dog bording and grooming area. Bob wants to know how much it would cost him to bord his dog for 2 day and get groomed. If it cost $8 a day for bobs dog to saty there and $12 to be groomed . what would bobs bill be for one groom and 2days of bording.

So, 8x2=16 then do 16+12=28

so bob's bill would be $28

Simplify the following expression.

9 – 5(–11x + 7)


–44x + 28

**55x + 16

55x – 26

55x + 44

I think it's B.

Answers

the answer is C, 55x-26
-11x*-5 that is 55x
7*-5=-35
9-35=-26
so the ending expression is 55x-26

1. A group of employees bought a get-well gift for a coworker. The gift cost $46.06. If there are 22 employees in the group, how much does each employee need to contribute? A. $1.37 B. $2.90 C. $.75 D. $2.09

Answers

the answer is D

you divide 46.06 by 22 and it will give you the cost of what each employee needs to contribute

What advice would you give to a person having problems in geometry overall.( I understood algebra but gemotery is so much more different and difficult to understand. Should I consider hiring a tutor?

Answers

I am currently taking Geometry right now, so I understand where you are coming from. I think it's just a matter of approaching it differently. My teacher always says she is trying to get us to think, not memorize. If you think a tutor would help you, then go for it! Just make sure you are learning the material not just for the grade, but so that you actually understand it. That's the most important part. Good luck!

A high school soccer team contains 7 juniors and 17 seniors. What is the ratio of the total number of players on the team to the number of senior players?

Answers

Final answer:

The ratio of the total number of players on the soccer team to the number of senior players is 1.41 to 1, found by dividing the total number of players (24) by the number of seniors (17).

Explanation:

The question is asking for the ratio of the total number of players on the team to the number of senior players. To get the total number of players, you should add the number of juniors and seniors together. This is, 7 juniors + 17 seniors = 24 total players. The ratio is then calculated as the total number of players divided by the number of seniors, which is, 24 total players ÷ 17 seniors. This simplifies to approximately 1.41 to 1.

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use the following pattern to answer the questions. 24.3, 24, 23.7, 23.4, ___,____. part A. ( what is the rule for the pattern?


A. add 0.3 to each term

B. subtract 0.3 from each term.

C. add 0.03 to each term.

D. subtract 0.03 from each term


part B

complete the next two terms in the pattern

24.3,. 24, 23 7,. 23,4 choose option 1( 23.1, 23.5, 24.1 ,24,5)
option 2( 22.2,. 22.4, 22.6, 22.8)


3. which explains where the sum of 0.52+0.61 is less than or greater than 1.

A. the sum is less than 1 because both decimals are less than 1.

B. the sum is less than 1 because the sum does not completely shade one hundredths grid.

C. the sum is greater than 1 because the sum shades more than one hundredths grid.

D. the sum is greater than 1 because any two hundredths decimals added together is greater than one.


4. Holland added three decimals that made a sum of 2. one of the decimals was 0.34. what are two other decimals Holland could have used to make a sum of 2? Explain how you know.

5. Maysa made an error in her work on the following problem
3.5 - 2.46 = 1.16

describe Maysa's error. . Explain how you would use a model or place- value concepts to help Maysa build understanding. Give the correct answer in your explanation.

Answers

Question 1:

For this case we have the following pattern of numbers:

24.3, 24, 23.7, 23.4

It can be seen that subtracting 0.3 from the first number of the pattern gives [tex]24.3-0.3 = 24\\[/tex]

Equally if we subtract 0.3 successively we obtain:

[tex]24-0.3 = 23.7\\\\23.7-0.3 = 23.4\\\\23.4-0.3 = 23.1\\\\23.1-0.3 = 22.8\\[/tex]

Thus, 0.3 must be subtracted from each term and the following numbers of the pattern shall be 23.1 and 22.8

Answer:

subtract 0.3 from each term

The next two numbers of the pattern are 23.1 and 22.8

Question 2:

For this case we have the following operation:

[tex]0.52 + 0.61 = 1.13\\\\1.13> 1\\[/tex]

We note that the sum is greater than 1

The sum of two hundredth decimals does not necessarily have to be greater than 1.

Therefore, the correct option is: the sum is greater than 1 because the sum shades more than one hundredths grid.

Answer:

Option C

Question 3:

For this case we have to:

[tex]a + b + c = 2\\[/tex]

Being a, b, c decimal numbers, one of them was 0.34. Suppose [tex]a = 0.34\\[/tex]

Thus: [tex]0.34 + b + c = 2\\[/tex]

We choose values ​​for b and c, in order to obtain the number 2 as a result of the sum. We can choose infinite values ​​so that equality is fulfilled

If[tex]b = 0.96[/tex] and

[tex]c = 0.7\\[/tex]

we have: [tex]0.34 + 0.96 + 0.7 = 2\\[/tex]

Thus, Holland can add to the sum [tex]b = 0.96[/tex] and [tex]c = 0.7\\[/tex]

Answer:

[tex]b = 0.96\\\\c = 0.7\\[/tex]

Question 4:

For this case we have the following subtraction:

[tex]3.5 - 2.46 = 1.16\\[/tex]

This operation is wrong, subtracting [tex]3.5-2.46[/tex] results in 1.04

Let's explain a model for Maysa:

We have the following expression

[tex]3.5 - 2.46\\[/tex]

Rewriting each number in expanded form we have:

[tex](3 + 0.5) - (2 + 0.46)\\[/tex]

Using the distributive property we have:

[tex](3 + 0.5) -2-0.46\\[/tex]

Using the associative property we have:

[tex](3-2) + (0.5-0.46)\\[/tex]

Performing each operation:

[tex]1 + 0.04 = 1.04\\[/tex]

Anwer:

The subtraction of Maysa is wrong, the correct answer is:

[tex]3.5 - 2.46 = 1.04[/tex]

Answer

Option B. Subtract 0.3 from each term.

Step-by-step explanation:

If you follow the pattern 24.3-24=0.3

similarly 24-23.7=0.3

23.7-23.4=0.3

Conclusion : We will subtract 0.3 every time in order to get the new number.

Which digit makes 345 ___ divisible by 2?
1

8

3

7

Answers

8. You can tell a number is divisible by 2 if it ends in a 0,2,4,6, or 8

Albert opens a savings account with $50 to save for a new iPhone xs. each week after he deposits $15. in how many weeks will he saved $500

Answers

50-500=450

450/15=30

30 weeks

Final answer:

Albert needs 30 weeks to save $500, starting with an initial $50 and depositing $15 each week after.

Explanation:

The subject of this problem is saving money over time. Albert starts with an initial amount of $50. Each week afterward, he adds an additional $15 to his savings. If he wants to save a total of $500, we need to figure out how many weeks that will take.

Since Albert already starts with $50, we first subtract that from $500, the total he wants to save, which leaves $450.

Then, we divide 450 by the amount Albert saves each week, $15. This equals 30, meaning it will take Albert 30 weeks to save $500.

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A Sofa stores markup rate is 1/3 of the wholesales price. What is the wholesale price of a sofa if the markup is $90?

Answers

Th wholesale would be $30

what you need to do is 90 × 2 =270
to make 1/3 a whole number you need to add 2 to the one and then take the 2 and multiply it by the 2 the to is so the go 1 + 2 = 3 or 3/3

36x^18+60x^9y^2+25y^4 factored in two products of polynomial

Answers

[tex]36x^{18}+60x^9y^2+25y^4=6^2x^{9\cdot2}+2\cdot6x^9\cdot5y^2+5^2y^{2\cdot2}\\\\=6^2(x^9)^2+2\cdot6x^9\cdot5y^2+5^2(y^2)^2\qquad(*)\\\\=(6x^9)^2+2\cdot6x^9\cdot5y^2+(5y^2)^2\qquad(**)\\\\=(6x^9+5y^2)^2=(6x^2+5y^2)(6x^9+5y^2)\\\\Used:\\\\(*)\qquad(a^n)^m=a^{nm}\\\\(**)\qquad(a+b)^2=a^2+2ab+b^2[/tex]

Help me find the andwer.

Answers

We know that vertically opposite angles are equal

Therefore, 6x-7 = 4x +23

6x -4x = 23 + 7

2x = 30

X = 30/2 = 15

Angle ABC = 6 (15) -7 =90-7 =81

Question number 1 pls

Answers

x is time spent walking the dog, y is the time washing cars

[tex]x + y \leqslant 20 \\ 7.5x + 6y \geqslant 92[/tex]

Let x=dog-walking job

Let y= car was attendant

Inequality: 7.50x+6y>92

Inequality: x+y<20

it costs $36.75 for 3 tickets to visit the science center. it costs $51 for 4 tickets to visit the zoo. which attraction will cost more money for a group of 12 students to visit? how much more?

Answers

Find the cost for one ticket for the science center.

36.75 ÷ 3 = 12.25

Multiply the product with 12 to get the cost of 12 tickets.

12.25 × 12 = 147

Find the cost of 1 zoo ticket.

51 ÷ 4 = 12.75

Find the cost of 12 tickets by multiplying the product and 12

12.75 × 12 = $153

12 Science Center Tickets cost $147

12 zoo tickets cost $153


The Zoo costs more than the Science Center.


To find out how much more the Zoo costed, subtract 147 from 153.

153 - 147 = 6

The zoo only costs $6 more for 12 students.

So, you're answers are Zoo and $6

The $51 attraction will cost more and it’ll cost more by $6
36.75x4=147
51x3 =153
153-147=6

The perimeter of a triangle is 26 centimeters. Side a of the triangle is 3 centimeters longer than side b. Side c is 1 centimeter shorter than twice side b. Find the length of each side.

Answers

a+b+c=26

a=b+3

c=2b-1

b+3+b+2b-1=26

4b=24

b=6 cm

a=6+3=9cm

c=2*6-1=11 cm

side *a* is 9 cm

side *b* is 6 cm

side *c* is 11 cm

Final answer:

To find the lengths of the sides of the triangle, we set up an equation using the given perimeter and the relationships between the sides. Solving the equation gives us the length of each side.

Explanation:

To find the lengths of the sides of the triangle when given the perimeter and relationships between the lengths of the sides, we can use algebra to set up a system of equations. Let's denote side b as x centimeters. According to the problem, side a is 3 centimeters longer than side b, so a can be represented as x + 3 centimeters. Side c is 1 centimeter shorter than twice side b, which gives us c as 2x - 1 centimeters.

The perimeter of the triangle is the sum of its sides, so:

x + (x + 3) + (2x - 1) = 26

Solving this equation gives us x, from which we can determine the lengths of sides a and c as well.

can someone help me with it? click on the photo to see it in full screen

Answers

Answer:

Angie will need to save $2.50 for 8 more weeks to get $50

Step-by-step explanation:

Angie has already saved $30

12(2.5)=30

So since she needs $20 more you divide 20 by 2.5 and you get your answer.

20/2.5=8 weeks

Angie has saved $2.50 per week for the past 12 weeks, so she has saved a total of 2.50*12 = $30.00. To reach her goal of $50.00, she needs to save another 50-30 = $20.00. At her current rate of saving, it will take her 20/2.5 = 8 more weeks to reach her goal.

To calculate the total amount of money Angie has saved so far, we simply multiply the amount of money she saves each week by the number of weeks she has been saving.

In this case, Angie saves $2.50 per week and she has been saving for 12 weeks, so she has saved a total of $2.50 per week x 12 weeks = $30.

To calculate the amount of money Angie still needs to save, we simply subtract the amount of money she has saved so far from her goal amount.

In this case, Angie's goal amount is $50 and she has saved $30 so far, so she still needs to save $50 - $30 = $20.

To find out how many more weeks it will take Angie to reach her goal, we simply divide the amount of money she still needs to save by the amount of money she saves each week.

In this case, Angie still needs to save $20 and she saves $2.50 per week, so it will take her $20 / $2.50 per week = 8 weeks to reach her goal.

Therefore, it will take Angie 8 more weeks to save a total of $50.

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Question:-

Angie has saved $2.50 of her allowance every week for the past 12 weeks. If she continues saving the same amount each week, how many more weeks will it take her to save a total $50?

Read the spreadsheet formula below, then answer the question. cell B5=A5*2 If this formula is filled into cell B6, what will the new formula be? =B5*B5 =B5*2 =A5*B6 =A6*2

Answers

The new formula for B6 cell will be B6=A6*2

Answer:

B6 =A6*2

Step-by-step explanation:

In Excel, the rectangular box where the rows and column intersect is called cell. The raws are represented by  1, 2, 3, 4, ................, the columns are represented by A, B, C, D,........,The notation of a cell is 'column row',

When we fill a formula in a cell then it can be proceed in below cells.

Here, the given formula,

B5=A5*2

Since, B6 is the below cell of the cell B5,

And, A6 is the below cell of the cell A5,

Thus, the new formula would be,

B6 =A6*2

Which table represents a function with a greater rate of change than y = 3x?

Answers


The first chart represents y= 4x, which is a greater rate of change than y=3x

the first chart is multiplying by 4

the second chart is multiplying by -3

the third chart is multiplying by 1/2

the fourth chart is dividing by -3

i hope this helps you  

Solve for the given variable.

Answers

I assume the trouble with this is the > instead of an =.

If this is the case, just pretend like it is an equals and solve normally with one extra rule in mind. Any time you multiply or divide by a negative remember you need to flip the sign. For instance:
-3 < -1
Multiply by 2
-6 < -2
Multiply by -2
12 > 4

The reasoning behind this is simple, while x may be bigger than b, -x is smaller than -b because x has a greater absolute value.
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