Consider the sequence 9, 16, 25, 36, 49, ...
(1) Write down the next two terms of
the sequence.
i) Find, in terms of n, a formula for the n term
of the sequence.
i) Hence, find the 25th term.

Answers

Answer 1

Answer:

1) 64 and 81

2) a(n) = (n + 2)^2, where n = 1, 2, 3, ...

3) a(25) = (25 + 2)^2 = 27^2 = 729


Related Questions

Evaluate the inverse when y=4. Show all of your work.

Answers

The inverse of the function y = 4ˣ is f⁻¹(x) = ㏑x / ㏑4.

What is termed as the inverse of the function?An inverse function, also known as an anti function, is a function that can be reversed into another function. Simply put, if any function "f" takes x to y, then its inverse will take y to x. The inverse function is signified by f-1 or F-1 if the function is signified by 'f' or 'F'. Here, (-1) should not be confused with exponent or reciprocal.

For the given question;

The function is given as;

y=4ˣ

Interchange the variables of the function.

x = 4∧y

Taking log both side.

㏑ x =  ㏑(4∧y)

Using the power rule of log function.

㏑ x =  y㏑(4)

y = ㏑ x/㏑(4)

Now, replace y with f⁻¹(x).

f⁻¹(x) = ㏑ x/㏑(4)

Thus, the inverse of the function y = 4ˣ is found to be f⁻¹(x) = ㏑x / ㏑4.

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The correct question is-

Evaluate the inverse when y=4ˣ. Show all of your work.

If y= 4 1/4 when x= 3/4, find y when x= 4 1/2

Answers

when y = 17/4, x= 3/4

then assume y varies directly as x

then y =kx

k = y/x

k= 17/4× 4/3

k= 17/3

when x= 3/4, y = 27/34

What is variation?

A variation is a relation between a set of values of one component and a set of values of other component.

Direct variation is a type of variation in which two variables go line in line with their values

y= kx where k is the proportionality constant

k = 17/3 when y = 17/4 and x= 3/4

using thesame value of k in the expression k=y/x

and x = 3/4, then

y= 27/34

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The Tasty Cookies Factory has a new robotic oven that produces 3,258 cookies each day. They sell the cookies in boxes of 12 cookies each. Managers Fatima and Jorge need to figure out how many boxes they can ship out of the factory each day.

Answers

As per the concept of division, they sold 271 cookies boxes per day and there are 6 cookies are remained.

Division:

Division means splitting of a large group into smaller groups such that every group will have an equal number of items.

There are four parts of the division, which are dividend, divisor, quotient, and remainder.

Given,

The Tasty Cookies Factory has a new robotic oven that produces 3,258 cookies each day. They sell the cookies in boxes of 12 cookies each.

Here we need to find the number of boxes sold per day.

Through the given question we know that,

Number of cookies per day = 3,258

Number of cookies in one box = 12

So, the dividend is 3,258 and the divisor is 12.

So, the number of boxes per day is illustrated using the following diagram.

Based on these, there are 271 boxes are sold per day with 6 remaining cookies.

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(No need to graph unless want to)Determine the period and asymptotes please grade 12 trig

Answers

SOLUTION:

The parent function is;

[tex]f(x)=sec(x)[/tex]

The transformation applied is;

[tex]y=-2f(\frac{1}{4}x-\pi)+2[/tex]

Graphing this, we have;

The period is the time to complete a cycle .

From the graph, the period is;

[tex]8\pi[/tex]

The asymptotes are those lines for which sec x is undefined. those are lines where;

[tex][/tex]

A bacterial colony starts with 120 cells and quadruples in size each day. Write an equation that relates the population of cells in this colony (P) at the start of each day and the number of days (d). Find the population on day 8.

Answers

Answer:

P = 120*([tex]2^{2d-2}[/tex])P(8) = 1, 966, 080

Step-by-step explanation:

Since the population quadruples each day, the population for the subsequent day would be 4*(population of the previous day).

Thus, the evolution of the population value takes the form of a geometric progression, with a common ratio, r = 4

The n-th term of a geometric progression is given by:

[tex]a_{n}[/tex] = [tex]ar^{n-1}[/tex]             (1)

Where a is the 1st term of the progression.

From (1), our population would generally take the form:

[tex]P_{d}[/tex] = [tex]P_0r^{d-1}[/tex]             (2)

In this case, the initial value (1st term) [tex]P_{0}[/tex] = 120.

So putting r and  [tex]P_{0}[/tex] into  (2):

P(d) = 120*([tex]4^{d-1}[/tex])

Noting that 4  = 2²:

P(d) = 120*([tex]2^{2(d-1)}[/tex])

P(d) = 120*([tex]2^{2d-2}[/tex])

FOR d = 8:

P(d) = 120*([tex]2^{2d-2}[/tex])

becomes:

P(8) = 120*([tex]2^{2(8)-2}[/tex])

P(8) = 120*([tex]2^{16-2}[/tex])

P(8) = 120*([tex]2^{14}[/tex])

P(8) = 120*(16,384)

P(8) = 1, 966, 080

A box has a width of 12 cm and a length of 9 cm. the volume of the box is decreasing at a rate of 541 cubic cm per second, with the width and length being held constant. what is the rate of change of the height, in cm per second, when the height is 6 cm?

Answers

With the width and length being held constant, the height of the box decreases at rate  5 cm/s

Let:

l = length

w = wide

h = height

Then, the volume of the box is given by:

V = l . w. h

The length and the width are assumed to be constant. Hence, the derivative with respect to time is:

dV/dt = l . w dh/dt

Parameters given:

dV/dt = - 541 cm³/dt

l = 9 cm

w = 12 cm

Plug these parameters into the formula:

-541 = 12 . 9 . dh/dt

dh/dt = 5 cm/s

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Which angle is supplementary to ∠NPI?

five angles all with common vertex of P, with angle NPI measuring 55.6 degrees, angle IPK measuring 44.2 degrees, angle KPL measuring 80.2 degrees, angle LPM measuring 55.6 degrees, and angle MPN measuring 124.4 degrees

∠IPK
∠NPL
∠MPN
∠LPM

Answers

Answer:

c.   ∠MPN

Step-by-step explanation:

Supplementary angles sum to 180°.  

(Note that supplementary angles don't have to be next to each other).

Given ∠NPI = 55.6°.

Therefore, to find the measure of the angle that is supplementary to ∠NPI, subtract the measure of ∠NPI from 180°:

⇒ 180° - ∠NPI = 180° - 55.6° = 124.4°.

The angle that measures 124.4° is ∠MPN.  

Therefore, ∠MPN is supplementary to ∠NPI.

The area of a rectangle is 60 cm². The length is 11 cm more than the width. Find the width​

Answers

Answer:

5

Step-by-step explanation:

let width be x

and because length is 11 times more than the width, therefore length equals to 11x

hence the equation equals to

area = length x width

60 = 11x + x

60 = 12x

x = 60/12

therefore, the width of the rectangle is 5

a standard poker deck of cards contains 52 cards, of which four are kings. suppose two cards are drawn sequentially, so that one random circumstance is the result of the first card drawn and the second random circumstance is the result of the second card drawn. find the probability that the first card is a king and the second card is not a king. (round your answer to four decimal places.)

Answers

The probability that the first card is a king and the second card is not a king is 0.0045

Suppose two cards are drawn sequentially so that one random circumstance is the result of the first card drawn and the second random circumstance is the result of the second card drawn. To find the probability that the first card is a king and the second card is not a king.

In the first case let's find the probability of drawing a king from the deck of cards,

A = ( 4/52 )

In the second case the probability of drawing a card that is not a king from the deck is,

B = ( 3/51 )

At last, to get the final probability to draw that the first card is a king and the second card is not a king we need to multiply the above two cases as,

A x B = ( 4/52 ) ( 3/51 )

         = 1/221

         = 0.0045

The probability that the first card is a king and the second card is not a king is 0.0045

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3f(5) x f(2)
Anyone understand this question?

Answers

Answer:

I do!

Decimal Form: f=−0.¯6,5

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to 0 the entire expression will be equal to

0.3f+2=0f−5=0

Set

3f+2 equal to 0 and solve for f.

more steps...

f=−23

Set

f−5 equal to 0 and solve for f.

more steps...

f=5

The final solution is all the values that make

(3f+2)(f−5)=0

true.

f=−23,5

The result can be shown in multiple forms.

Exact Form :f=−23,5

HOPE IT HELPS :)

PLEASE HELP IF YOU KNOW AP STATS OR HAVE TAKEN THIS QUIZ!! THANK U

The data set for the average height of men at a ballgame compared to their shoe size is represented by the table.


Table with two columns titled men's shoe size (U. S. ) and height (inches). Data values 7 and 64, 10 and 69, 12 and 72, 8 and 67, 9. 5 and 69, 10 and 70, 11. 5 and 75, 12. 5 and 73, 13. 5 and 71, 10 and 68.

Part A: What is the equation of the least-squares regression line? (3 points)

Part B: Carlos wears a size 9 and is 71 inches tall. What is the residual for Carlos's data? Show your work. (4 points)

Part C: Interpret the meaning of the residual from part B. (3 points)

Answers

An equation for the line of best fit for a men's height, y, based on her shoe size, x is; y = 0.25x + 66.6

What is a line of best fit?

A line of best fit can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

In this scenario, the men's shoe size would be plotted on the x-axis of the scatter plot while her height would be plotted on the y-axis.

By critically observing the scatter plot (see attachment) which models the data, we can reasonably deduce that an equation for the line of best fit is given by:

y = 0.25x + 66.6

Interpret the meaning of the residual from part B is given below.

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A shipment of 8 computers contains 4 with defects. Find the probability that a sample of size 1, drawn from the 8, will not contain a defective computer,What is the probability that a sample of 1 of the 8 computers will not contain a defective computer?(Type an integer or a simplified fraction)Help Me Solve ThisView an ExampleGet More HelpClear All

Answers

Answer:

1/2

Explanation:

If you take a sample of 1 drawn from the 8, you will have 8 possible options and 4 of them didn't contain defects. So, the probability can be calculated as:

[tex]\frac{4}{8}=\frac{1}{2}[/tex]

Therefore, the answer is 1/2

The probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

What is the probability?

The Probability in mathematics is possibility of an event in time. In simple words how many times that incident is happening in any given time interval.

Given a shipment of 8 computers contain 4 with defects.

That means 8 -4 = 4 computers have no defect.

To find the probability;

we have 8 possible computers and 4 computers have no defect.

The probability;

= 4 /8

= 1/2

= 0.5

Therefore, the probability that a sample of 1 of the 8 computers will not contain a defective computer is 1/2.

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the gmat scores of all examinees who took that test this year produced a distribution that is approximately normal with a mean of 410 and a standard deviation of 33. the probability that the score of a randomly selected examinee is less than 370, rounded to three decimal places, is:

Answers

The probability that the score of a randomly selected examinee is less than 370 is 0.113

Mean of the gmat score = 410

Standard deviation of the deviation = 33

The randomly selected examinee be X ,

Thus X = 370

So , we need to find the probability that the score of a randomly selected examinee is less than 370 i.e.

   P(X < 370)

Now , let us the z-score with normal distribution formula

        Z = (X - μ) / σ

        Z = (370 - 410) / 33

        Z = -40 / 33

       Z = -1.21

Thus P(X < 370) = P(Z < -1.21)

From the z - table , we can get that

         P(Z < -1.21) = 0.11314

By rounding off to three decimals ,

          P(Z < -1.21) = 0.113

Therefore , the probability of Z< -1.21 is 0.113

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Valeria created a triangular pyramid as part of her science fair project. The triangular base has a height of 8 cm and a length of 6 cm. The height of the pyramid is 12 cm. Determine the volume of Valeria's pyramid.A. 192 cm B. 288 cmC. 96 cmD. 576 cm

Answers

Given:

Height of triangular base = 8 cm

Length of traingular base = 6cm

Height of pyramid = 12 cm

Let's determine the volume of Valeria's pyramid.

To find the volume of the triangular pyramid, apply the formula:

[tex]V=\frac{1}{3}(A\ast h)[/tex]

Where A is the area of the triangular base and h is the height of the pyramid

To find the area of the triangular base, apply the area of a triangle formula:

[tex]\begin{gathered} A=\frac{b\ast h}{2} \\ \\ A=\frac{6\ast8^{}}{2}=\frac{48}{2}=24cm^2 \end{gathered}[/tex]

To find the volume of the pyramid, substitute 24 for A and 12 for h in the formula above.

Thus, we have:

[tex]\begin{gathered} V=\frac{1}{3}(A\ast h) \\ \\ V=\frac{1}{3}(24\ast12) \end{gathered}[/tex]

Solving further:

[tex]\begin{gathered} V=\frac{1}{3}(288) \\ \\ V=\frac{288}{3} \\ \\ \text{ V = 96 cm}^3 \end{gathered}[/tex]

Therefore, the volume of Valeria's pyramid is 96 cubic centimeters.

ANSWER:

[tex]\text{ C. 96 cm}^3[/tex]

Someone please help with this math problem?

Answers

Both equations' solutions are found at the point (-2, 2). When point (-1,4), the 2x-y=-6 yields the correct point. The second equation is as a result. The point (2, 14) is the answer to the first equation because it provides the answer to the first equation but not the second.

What is equation?

The word equation and its cognates in other languages may have slightly different meanings; for example, in French an equation is defined as containing one or more variables, while in English any well-formed formula consisting of two expressions related with an equals sign is an equation. An equation is a formula that expresses the equality of two expressions by connecting them with the equals sign =. Finding the values of the variables that result in the equality is the first step in solving an equation with variables. The unknown variables are also known as the variables for which the equation must be solved, and the unknown variable values that satisfy the equality are known as the equation's solutions. Equations come in two varieties: identities and conditional equations.

3x-y=-8

2x-y=-6

given points are (-1,4), (2,14), (-2,2)

On solving the equation,

3x-y=-8

-(2x-y=-6)

x=-2

y=2

The point (-2,2) is the solution to both equations.

The point (-1,4) on putting in the 3x-y=-8 will not give solution but when put in the 2x-y=-6, it gives the result. so it the solution to second equation.

The point (2,14) is the solution to the first equation as it gives the answer to first but not to the second equation.

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Write the recurring decimal 0.45....... as a fraction.

Answers

Given the following question:

We are given the repeating decimal of 0.45

We will use the formula:

[tex]\begin{gathered} \frac{(d\times10^r)-n}{10^r-1} \\ \frac{0.45\times10^2)-0}{10^2-1} \\ \text{ Simplify} \\ \frac{0.45\times2\cdot10^2}{10^2-1}=\frac{45}{99} \\ \text{ Simplify once more} \\ \frac{45}{99}\div9=\frac{5}{11} \\ =\frac{5}{11} \end{gathered}[/tex]

Which list shows the absolute values in order from greatest to least select each correct answer.
A: | 11 7/10 |, | 11 3/5 |, | 10 3/10 |

B: | -3 1/3 |, | -3 2/3 |, | 2 2/3 |

C: | -1 5/6 |, | 1 7/12 |, | 1 5/12 |

D: | -6 5/7 |, | -6 3/7 |, | 5 2/7 |

Please help I will give 100!

Answers

Step-by-step explanation:

A./11.7/,/22.6/,10.3/

11.7<22.6>10.3

B./-10.3/,/-10.7/,/7.3/

10.3<10.7>7.3

C./-2.5/,/1.42/,/1.25/

2.5>1.42>1.25

D./-9.3/,/-9/,/7.43/

9.3>9>7.43

therefore the answer is C and D

URGENT HELP!!
Approximate the correlation of the data shown below?

Answers

The approximate correlation of the data shown on the diagram above is: C. -0.5.

The question says we should approximate the correlation using the given scatter plot. Below shows a detailed explanation on how to do a rough estimation of the possible value of the correlation.

What is the Approximate Correlation of a Data?

Correlation Coefficient, r, is a numerical value of -1 to 1, which tells how strongly related two variables are. If the points on a scatter plot form a trendline that slopes upwards, it is a positive correlation. If it slopes downwards, it is a negative correlation.

The magnitude of the correlation coefficient is dependent on how father apart the points are from each other along a trend line. If they are much farther apart from each other, the correlation coefficient would far from 1 and -1, and close to zero. If they are closer, it would be close to 1 or -1, and far from 0.

The scatter plot shows the data points are moderately spaced from each other and the trendline slopes downwards. Therefore, the best estimate for the correlation is: C. -0.5.

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The ratios in an equivalent ratio and 3:12 , 4:16 and 5:20 if frost number is 10 what is the second number ?

Answers

40.

Use the ratios to determine the number that you should multiply by.

See details:

vehicle speed on a particular bridge in china can be modeled as normally distributed. (a) if 5% of all vehicles travel less than 39.18 m/h and 10% travel more than 73.27 m/h, what are the mean and standard deviation of vehicle speed? (round your answers to three decimal places.) mean standard deviation

Answers

The mean and standard deviation of the vehicle speed are 58.33 and 11.64 respectively.

The vehicle speed on a particular bridge in china has normal distribution.

5% represents the 5th percentile which is here, 39.18 m/h.

Since 10% travels more than 73.27 m/h, 90% travels less than 73.27 m/h.

So here the 90th percentile is 73.27 m/h.

Also the z-score, z = (x-μ)/σ, where μ is the mean of normal distribution and σ, the standard deviation.

So 39.18 corresponds to the z with p-value 0.05, i.e., z = -1.645 [from the normal tables]

Hence, z = (x-μ)/σ

⇒ -1.645 = (39.18 - μ)/σ

⇒ -1.645σ = 39.18 - μ

⇒ μ = 39.18 + 1.645σ  ----------(1)

Also 73.27 corresponds  to the z with p-value 0.9,i.e., z = 1.28.

Hence , z = (x-μ)/σ

⇒ 1.28 = (73.27 - μ)/σ

⇒ 1.28σ = 73.27 - μ

⇒ μ = 73.27 - 1.28σ  ----------(2)

Equating (1) and (2), we get,

39.18 + 1.645σ  =  73.27 - 1.28σ

2.925σ = 34.05

σ = 11.64

hence μ = 39.18 +1.645 x 11.64

⇒ μ = 58.33

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Donna bought 5 bags of dog treats for $12.50. What is the cost per bag of dog treats?

I really need help on this please guys

Answers

Answer:

2.5

Step-by-step explanation:

$12.50 ÷ 5 bags = $2.5 per bag

Answer:

2.50

Expination:

devide 12.50 by the total amount of dog food purchased (5 bags)

12.50/5 = 2.50

the price per bag is $2.50

If Fx) = x-5 and G(x) = x2 , what is G(F(x))?

Answers

Explanation:

Given the functions

f(x) = x-5

G(x) = x^2

We are to find the composite function G(f(x))

Simple Interest QuizIf $3,000 is loaned for 48 months at a 4.5% annual rate, how much is the ending balance?

Answers

Given:

Principal (p) =$3,000

Time (T) = 48 months = 4 years

Interest rate = 4.5%

Required :

Ending balance = ?

The simple interest :

[tex]\begin{gathered} SI\text{ = PRT} \\ =\text{ 3000 }\times\text{ 0.045 }\times\text{ 4} \\ =\text{ \$ 540} \end{gathered}[/tex]

Ending balance :

[tex]\begin{gathered} \text{Ending balance = Principal + SI} \\ =\text{ \$ 3000 + \$ 540} \\ =\text{ \$ 3540} \end{gathered}[/tex]

Ending balance = $ 3540

What is the image of ( − 8 , − 4 ) after a dilation by a scale factor of 1 4 4 1 ​ centered at the origin?

Answers

The image of the point after the dilation is (-2, -1)

What is dilation?

Dilation is the process of altering the side length of a shape or a function

How to determine the image of the points?

From the question, the given parameters are:

Point =  (-8, -4)

The scale factor of dilation is given as

Scale factor = 1/4

Mathematically, this transformation can be represented as

(x, y) = k(x, y)

Where k = 1/4 i.e. the scale factor

So, we have

(x, y) = (kx, ky)

This gives

(x, y) = (1/4x, 1/4y)

When represented as an equation, we have

Image = 1/4 * Point

Substitute the equation Point =  (-8, -4) in the equation Image = 1/4 * Point

So, we have the following equation

Image = 1/4 * (-8, -4)

Evaluate the product

Image = (-2, -1)

Hence, the image is (-2, -1)

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What is the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3? Responses y−1=3(x+2) y plus 1 equals 3 open parenthesis x minus 2 close parenthesis y−2=3(x+1) y minus 2 equals 3 open parenthesis x plus 1 close parenthesis y+1=3(x−2) y plus 1 equals 3 open parenthesis x minus 2 close parenthesis y+2=3(x−1)

Answers

The equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5

We need to find the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3

The point slope form of a equation of a line is

y - y₁ = m(x - x₁)

y - (-2) = 3 (x - 1)

y + 2 = 3x - 3

y = 3x - 3 - 2

y = 3x - 5

Therefore the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3 is y = 3x - 5.

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A way to write a fraction as an equivalent fraction that contains no common factors is _________ form.

Answers

Answer:

simplest form.

Step-by-step explanation:

1. Priya's favorite kind of dark chocolate comes in a package shaped like a triangular. If the package can hold 144 cm of chocolate and the triangular faces have a base of 3 cm and a height of 4 cm, how tall is the entire package?

Answers

ok

Measures base = 3cm

height = 4cm

tall = x

volume = 144 cm^3

Volume = Area of the base * tall

Area of the base = (3 * 4) / 2 = 12/2 = 6 cm^2

144 = 6*x

x = 144/6

x = 24 cm

Result: The chocolate is 24 cm tall.

Select the correct answer.
Find the inverse of function f.
f (x) = 9x + 7
A. f^{\small -1}(x)\ =\ 7x\ +\ 9
B. f^{\small -1}(x)\ =\ -9x\ -\ 7
C. f^{\small -1}(x)\ =\ \frac{1}{9}x\ -\ \frac{7}{9}
D. f^{\small -1}(x)\ =\ \frac{7}{9}x\ -\ \frac{1}{9}

Answers

Answer:

[tex]\dfrac{x-7}{9}[/tex]

which corresponds to choice
C :   [tex]f^{\small -1}(x)\ =\ \frac{1}{9}x\ -\ \frac{7}{9}[/tex]

Step-by-step explanation:

The inverse of a function y = f(x) can be found by interchanging x and y and solving for y

Let y = f(x)

y = 9x + 7

Interchange x and y:

x = 9y + 7

9y + 7 = x  (switch sides)

subtract 7 both sides
→  9y + 7 - 7 = x - 9

→ 9y = x - 9

Divide both sides by 9

→ [tex]y = \dfrac{x - 7}{9} = \dfrac{x}{9} - \dfrac{7}{9}[/tex]

which corresponds to choice C

Given two terms from a geometric sequence, identify the first term and the common ratio: a10 = 1 and a12=1/25

Answers

Given:

a denotes first term and r denotes the common ratio.

[tex]a_{10}=1\colon a_{12}=\frac{1}{25}[/tex][tex]a_n=ar^{n-1}[/tex][tex]a_{10}=ar^{10-1}[/tex][tex]1=ar^9\ldots.\text{ (1) }[/tex][tex]a_{12}=ar^{12-1}[/tex][tex]\frac{1}{25}=ar^{11}\ldots.(2)[/tex]

Divide the equation (2) by (1)

[tex]\frac{\frac{1}{25}}{1}=\frac{ar^{11}}{ar^9}[/tex][tex]\frac{1}{25}=r^2[/tex][tex]r=\pm\frac{1}{5}[/tex][tex]\text{If r=}\frac{1}{5}[/tex][tex]1=a(\frac{1}{5})^9[/tex][tex]a=1953125[/tex][tex]\text{If r=-}\frac{1}{5}[/tex][tex]1=a(-\frac{1}{5})^9[/tex][tex]a=-1953125[/tex][tex]a=-1953125\text{ ; r = -}\frac{1}{5}[/tex][tex]a=1953125\text{ ; r = }\frac{1}{5}[/tex]

What are the vertex and range of y = |x 2| − 3? (−2, −3); −[infinity] < y < [infinity] (−2, −3); −3 ≤ y < [infinity] (0, −1); −[infinity] < y < [infinity] (0, −1); −3 ≤ y < [infinity]

Answers

(x,y) = (1,14).

A parabola's vertex is the location where its symmetry line and parabola intersect. The range of values that we are permitted to enter into our function is known as the domain of a function.

What is the definition of vertex form?A different way to express the equation of a parabola is in its vertex form. A quadratic equation is typically represented as an x 2 + b x + c, which, when graphed, results in a parabola.Locate a parabola's vertex,Finding a parabola's vertex Standard FormComparing the parabola's equation to the formula y = ax2 + bx + c in standard form is the first step.Step 2: Apply the formula h = -b/2a to find the vertex's x-coordinate.Step 3: Substitute x = h in the calculation ax2+ bx + c to obtain the vertex's y-coordinate (k). The range of values that we are permitted to enter into our function is known as the domain of a function.  

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