the standard form of the equation of a parabola is y=x^2+4x+22. What is the vertex form of the equation?

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.

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.

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:

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

Th wholesale would be $30

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 :)

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  

2.31 meters in height

2.65m - 0.34m = 2.31 meters

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

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.

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.

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

[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]

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

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.

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.

the answer is D

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

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).

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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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

Length, Width, and Height or lwh

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

p = 0 hope this helps

Let x=dog-walking job

Let y= car was attendant

Inequality: 7.50x+6y>92

Inequality: x+y<20

Linear equations are an equation between two variables that makes a straight line on a graph. You need to find the value of x or y. You can usually substitute numbers in for x or y until you get what they're equaling.

A) x=1/2

You can get this by first finding the like terms. In this case it would look like 4x-2=0. Then you'd move the constant to the right to get 4x=2. Then just divide both sides by 4 to get 1/2.

Hope this helped! :)

You know that:

Farah packs 4 outfits for 3 days of vacation.

Then Farah packs:

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.

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:

50-500=450

450/15=30

30 weeks

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

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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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.

For similar questions on saving
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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?

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