Your investment of 1,200 gets 5.1% and is compounded semi annually for 7 1/2 years what will be your 1,200. Be worth at the end of the term

Answer:

22

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

\(\frac{3x+2}{5x-4}=\frac{15}{20}=\frac{3}{4} \\ \\ 12x+8=15x-12 \\ \\ 3x=20 \\ \\ \therefore SP=20+2=22\)

The number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14] is approximately c = 3.75.

To find the number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14], follow these steps:

1. Verify the conditions of the Mean Value Theorem:
  The function f(x) = x + 3/x is continuous on the closed interval [1, 14] and differentiable on the open interval (1, 14).

2. Calculate the average rate of change of the function on the interval:
  f(14) = 14 + 3/14 ≈ 14.214
  f(1) = 1 + 3/1 = 4
  Average rate of change = (f(14) - f(1)) / (14 - 1) ≈ (14.214 - 4) / 13 ≈ 0.786

3. Differentiate the function to find the instantaneous rate of change:
  f'(x) = 1 - 3/x²

4. Set f'(x) equal to the average rate of change and solve for x:
  1 - 3/x² = 0.786
  x² = 3 / (1 - 0.786)
  x² ≈ 14.056
  x ≈ √14.056 ≈ 3.75

The number c that satisfies the conclusion of the Mean Value Theorem for the function f(x) = x + 3/x on the interval [1, 14] is approximately c = 3.75.

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Answer:

let the remaining sides be X and Y

perimeter = X + Y + 13

24 = X + Y + 13

11 = X + Y ---(1).

Area = 1/2 * base * height

24 = 1/2 * X * Y

XY = 48.-----(2)

solving eq 1 and 2

X + Y = 11

XY = 48

Xy + y² = 11y

Xy = 48

y²= 11y - 48

y² -11y + 48 = 0

no real solution of this equation.

Answer:

Step-by-step explanation:

the triangle is NOT a 3–4–5 or multiple,

so it is not a right triangle or your data is wrong.

The given percentage is 8 1/3 %.

Hence 1/12 of residents were uninsured.

Answer:

875 ft.

Step-by-step explanation:

First, multiply the original sides of the cube to get 5 x 5 x 5 = 125.

Then, double each side to get

10 ft.

10 ft.

10 ft.

Next, multiply the new side lengths together to get 10 x 10 x 10 =1000 ft.

Finally, subtract 125 ft. from 1000 ft. to get 1000 ft. -125 ft. = 875 ft.

Answer:

5j+10

Step-by-step explanation:

In this question, you cannot find the answer to j, so you would just be simplifying the equation. So you would break the equation up into different parts and put the like parts together. So that it would be: (2j+3j)+(5+5)

5+5=10. So the answer is: 5j+10

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

What is the standard deviation?

The standard deviation in statistics is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values are close to the set's mean, whereas a high standard deviation indicates that the values are spread out over a wider range.

Standard deviation determines how far numbers deviate from the mean. The Standard deviation of the two sets will be the same if the numbers from the respective means are placed in the same order.

This is what 10, 15, and 20 will be on a number line

10_ _ _ _15 _ _ _ _20

(15 is the mean and 10 and 20 are 5 steps away from the mean)

i) Z - X = 10

This is what Z and X will be on the number line

X _ _ _ _ _ Z

ii) Z - Y = 5

This is what Z and Y will on the number line.

Y_ _ _ _ _ Z

Together, their relative placement on the number line:

X _ _ _ _ _  Y  _ _ _ _ _  Z

This matches the placement of 10, 15, and 20 and hence the standard deviation will be the same in the two cases.

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Answer:

Amount of sales tax ≈ $2.44 dollars;

Price with sales tax ≈ $33 dollars;

Step-by-step explanation:

1. Calculate the 'Amount of sales tax':

Formula:

Amount of sales tax =

Sales tax rate × Price without sales tax

Calculation:

Amount of sales tax =

8% × 30.56 =

8/100 × 30.56 =

8 ÷ 100 × 30.56 =

0.08 × 30.56 =

2.4448 ≈

2.44

(Rounded to a maximum of 2 decimals)

2. Calculate the 'Price with sales tax':

Formula:

Price with sales tax =

Price without sales tax + Amount of sales tax

Calculation:

Price with sales tax =

30.56 + 2.4448 =

33.0048 ≈

33

(Rounded to a maximum of 2 decimals)

The equilibrium price is; $12

The quantity for the two equations is; 400

The equilibrium price formula is based on the demand and supply quantities; you will set quantity demanded (Qd) equal to quantity supplied.

The equilibrium price definition above is one that tells us that there is a price point that meets the needs of both supply and demand. In order to understand when those needs are met, we need to know how to find equilibrium price.

We are given;

Quantity supplied; S(p) = -200 + 50p

Quantity demanded; D(p) = 1060 - 55p

Thus, equilibrium price is p when;

S(p) = D(p)

-200 + 50p = 1060 - 55p

1060 + 200 = 55p + 50p

1260 = 105p

p = 1260/105

p = $12

S(p) = -200 + 50(12)

S(p) = 400

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The given statement "non-linear quality constraints can sometimes be rewritten as linear constraints" is TRUE because this process, known as linearization, involves transforming non-linear expressions into equivalent linear expressions.

Linearization simplifies complex problems, allowing them to be solved using linear programming techniques. However, this may not always be possible for all non-linear constraints, and some trade-offs in accuracy might occur.

Linearization techniques, such as piecewise linear approximation or variable substitution, can be applied to rewrite non-linear constraints into linear ones, facilitating the use of linear programming methods for more efficient and tractable solutions.

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9514 1404 393

Answer:

54.85 mm

Step-by-step explanation:

The circumference of the wheel is given by ...

  C = πd

  C = (3.14)(559 mm) = 1755.26 mm

When this is divided into 32 equal arcs, each one of them is ...

  (1755.26 mm)/32 = 54.851875 mm

Rounded to the nearest hundredth, the arc length is 54.85 mm.

a) The linear function giving the cost after x months is given as follows: C(x) = 88 - 8x.

b) The cost of the shoes after 8 months is given as follows: $24.

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

Each month, the balance decays by $8.00, hence the slope m is given as follows:

m = -8.

Hence:

y = -8x + b.

When x = 1, y = 80, hence the intercept b is given as follows:

80 = -8 + b

b = 88.

Hence the function is:

C(x) = 88 - 8x.

The cost after 8 months is given as follows:

C(8) = 88 - 8(8) = 88 - 64 = $24.

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The data structures are true:  Option (1,3)

Data structures are ways of organizing and storing data in a computer so that it can be accessed and manipulated efficiently. There are several types of data structures, including arrays, linked lists, stacks, queues, trees, and graphs. Each structure has its own unique features and advantages, making it suitable for different scenarios.

For example, arrays are used for storing and accessing data in a linear fashion, while trees and graphs are used for representing hierarchical relationships between data. Data structures are a fundamental concept in computer science and are used in many applications, including databases, compilers, and operating systems. Understanding and implementing data structures is essential for efficient programming and software development

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Full Question: Which of the following statements about the data structures are true? Select ALL CORRECT answers.

Answer:

Liliana surveyed 20 students that how many hours they spend on their computers each week.

The results are as follows

8, 15, 0, 11, 12, 13, 16, 13, 0, 4, 17, 14, 30, 13, 5, 12, 1, 13, 12, 21

In the above results 2 students did not use computers out of 20 students.

Therefore, The total number of students who used their computers = 20 - 2 = 18

So the ratio would be 18 : 20 or 9 : 10

Answer:

Ratio would be 9 : 10

Step-by-step explanation:

hope it helps

Statistically significant cοrrelatiοns cannοt shοw causality.

Statistical significance indicates that there is a lοw prοbability that the οbserved cοrrelatiοn οccurred by chance. It dοes nοt prοvide infοrmatiοn abοut the strength οr size οf the effect, nοr dοes it establish a causal relatiοnship between the variables.

Cοrrelatiοn measures the degree οf assοciatiοn between twο variables but dοes nοt indicate a cause-and-effect relatiοnship. Cοrrelatiοns can exist between variables withοut implying that οne variable causes the οther. Other factοrs, such as cοnfοunding variables οr reverse causality, cοuld be influencing the οbserved cοrrelatiοn.

Tο establish causality, additiοnal evidence frοm experimental studies, cοntrοlled interventiοns, οr οther research designs is necessary. Statistical significance alοne dοes nοt prοvide cοnclusive evidence οf a causal relatiοnship between variables.

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Answer:

That does to make sense...

Maybe extend the question

This implies:$$\fraction{c}{2} = 1$$$$c = 2$$Substituting c = 2, in f (x) = c(x + 1)(x + 2), we have:

f (x) = 2(x + 1)(x + 2)Thus, the pm f of (f) can be depicted as shown below:

The given pm f s and the values of x are:(a) f (x) = x/c, x = 1, 2, 3, 4.(b) f (x) = cx, x = 1, 2, 3, . . . , 10.(c) f (x) = c(1/4)x, x = 1, 2, 3, . . . .(d) f (x) = c(x + 1)2, x = 0, 1, 2, 3.(e) f (x) = x/c, x = 1, 2, 3, . . . , n.(f) f (x) = c(x + 1)(x + 2), x = 0, 1, 2, 3, . . . . Hint: In part ( f ), write f (x) = 1/(x + 1) − 1/(x + 2).To find the constant, c, the following properties should be applied:

The summation of pm f over all values of x is equal to 1. This implies:$$\sum_{i=1}^{\in f t y}f(x_ i) = 1$$Where x1, x2, x3, …, are the values that the pm f f (x) can take. To determine the pm fs, it is also useful to draw their corresponding graphs.

For (a), we have:$$\sum_{i=1}^{4}\fraction{i}{c} = 1$$$$\fraction{1}{c} + \fraction{2}{c} + \fraction{3}{c} + \fraction{4}{c} = 1$$$$\fraction{10}{c} = 1$$Hence c = 10/1 = 10Substituting c = 10, in f (x) = x/c, we have:

Thus, the pm f of (a) can be depicted as shown below:

For (b), we have:$$\sum_{i=1}^{10}ci = 1$$$$c\sum_{i=1}^{10}i = 1$$$$c\fraction{10(10+1)}{2} = 1$$Hence, c = 1/55Substituting c = 1/55, in f (x) = cx, we have:

Thus, the pm f of (b) can be depicted as shown below:

For (c), we have:$$\sum_{i=1}^{\in f ty}c\fraction{1}{4}^i = 1$$$$c\sum_{i=1}^{\in f t y}\fraction{1}{4}^i = 1$$$$c\fraction{\fraction{1}{4}}{1-\fraction{1}{4}} = 1$$Hence, c = 4Substituting c = 4, in f (x) = c(1/4)x, we have: Thus, the pm f of (c) can be depicted as shown below:

For (d), we have:$$\sum_{i=0}^{3}c(x+1)^2 = 1$$$$c[(0+1)^2 + (1+1)^2 + (2+1)^2 + (3+1)^2] = 1$$$$c[1^2 + 2^2 + 3^2 + 4^2] = 1$$$$c[30] = 1$$Hence, c = 1/30Substituting c = 1/30, in f (x) = c(x+1)^2, we have:

Thus, the pmf of (d) can be depicted as shown below: For (e), we have:$$\sum_{i=1}^{n}\fraction{i}{c} = 1$$$$\fraction{1}{c} + \fraction{2}{c} + \fraction{3}{c} + .... + \fraction{n}{c} = 1$$$$\fraction{n(n+1)}{2c} = 1$$Hence, c = n(n+1)/2Substituting c = n(n+1)/2, in f (x) = x/c, we have:

Thus, the pm f of (e) can be depicted as shown below: For (f), we have:

f (x) = c(x + 1)(x + 2), x = 0, 1, 2, 3, . . .Rewriting f (x) in terms of fractions, we have:f (x) = c[(x+2) - (x+1)]$$f (x) = \frac{c}{x+2} - \fraction{c}{x+1}$$$$\sum_{i=0}^{\infty}f(x_i) = 1$$$$\fraction{c}{0+2} - \frac{c}{0+1} + \frac{c}{1+2} - \frac{c}{1+1} + \frac{c}{2+2} - \fraction{c}{2+1} + .... = 1$$Simplifying:$$\fraction{c}{2} - c + \fraction{c}{3} - \fraction{c}{2} + \fraction{c}{4} - \fraction{c}{3} + .... = 1$$

This implies:$$\fraction{c}{2} = 1$$$$c = 2$$Substituting c = 2, in f (x) = c(x + 1)(x + 2), we have:

f (x) = 2(x + 1)(x + 2)Thus, the pm f of (f) can be depicted as shown below:

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The pmf is f(x) = (x + 1)(x + 2)/[x(x + 3) + 2(x + 1)], x = 0, 1, 2, 3, ....

The line graph of f(x) = (x + 1)(x + 2)/[x(x + 3) + 2(x + 1)]

(a) To depict each pmf as a line graph, we first need to determine the constant c so that f(x) satisfies the conditions of being a pmf for a random variable X.

(a) f(x) = x/c, x = 1, 2, 3, 4.  

For f(x) to be a pmf for a random variable X, the following conditions must hold:

1. f(x) is non-negative for all x in X.

2. The sum of f(x) over all x in X is equal to 1.

(i) f(1) = 1/c, f(2) = 2/c,

f(3) = 3/c, and

f(4) = 4/c.

(ii) f(x) ≥ 0 for all x in X.

Therefore, 1/c ≥ 0, 2/c ≥ 0, 3/c ≥ 0, and 4/c ≥ 0.

Hence c is positive.

(iii) The sum of the probabilities is equal to 1, that is f(1) + f(2) + f(3) + f(4) = 1.

Substituting the given values, we get 1/c + 2/c + 3/c + 4/c = 1, i.e., 10/c = 1, which implies that c = 10.

Hence the pmf is f(x) = x/10, x = 1, 2, 3, 4.

The line graph of f(x) = x/10 is as follows:

(b) f(x) = cx, x = 1, 2, 3, . . . , 10.

For f(x) to be a pmf for a random variable X, the following conditions must hold:

1. f(x) is non-negative for all x in X.

2. The sum of f(x) over all x in X is equal to 1.

(i) f(1) = c, f(2) = 2c, f(3) = 3c, ..., f(10) = 10c.(ii) f(x) ≥ 0 for all x in X.

Therefore, c ≥ 0, 2c ≥ 0, 3c ≥ 0, ..., and 10c ≥ 0.

Hence c is positive or zero.

(iii) The sum of the probabilities is equal to 1, that is f(1) + f(2) + f(3) + ... + f(10) = 1.

Substituting the given values, we get c + 2c + 3c + ... + 10c = 1,

i.e., 55c = 1, which implies that c = 1/55.

Hence the pmf is f(x) = x/55, x = 1, 2, 3, ..., 10.

The line graph of f(x) = x/55 is as follows:

(c) f(x) = c(1/4)x, x = 1, 2, 3, . . . .

For f(x) to be a pmf for a random variable X, the following conditions must hold:

1. f(x) is non-negative for all x in X.

2. The sum of f(x) over all x in X is equal to 1.

(i) f(1) = c(1/4), f(2) = c(1/4)2, f(3) = c(1/4)3, ..., f(n) = c(1/4)n.

(ii) f(x) ≥ 0 for all x in X.

Therefore, c(1/4) ≥ 0, c(1/4)2 ≥ 0, c(1/4)3 ≥ 0, ..., and c(1/4)n ≥ 0.

Hence c is positive or zero.

(iii) The sum of the probabilities is equal to 1, that is f(1) + f(2) + f(3) + ... + f(n) = 1.

Substituting the given values, we get

c(1/4) + c(1/4)2 + c(1/4)3 + ... + c(1/4)n = 1.

Hence the pmf is f(x) = 2/(n(n + 1)) x, x = 1, 2, 3, ....

The line graph of f(x) = 2/(n(n + 1)) x is as follows: (f) f(x) = c(x + 1)(x + 2), x = 0, 1, 2, 3, . . . .

For f(x) to be a pmf for a random variable X, the following conditions must hold:

1. f(x) is non-negative for all x in X.

2. The sum of f(x) over all x in X is equal to 1.

(i) f(0) = 2c, f(1) = 6c, f(2) = 12c, f(3) = 20c, ..., f(x) = c(x + 1)(x + 2).

(ii) f(x) ≥ 0 for all x in X.

Therefore, 2c ≥ 0, 6c ≥ 0, 12c ≥ 0, 20c ≥ 0, ..., and c(x + 1)(x + 2) ≥ 0 for all x in X.

Hence c is positive or zero.

(iii) The sum of the probabilities is equal to 1, that is f(0) + f(1) + f(2) + ... + f(x) = 1.

Substituting the given values, we get2c + 6c + 12c + ... + c(x + 1)(x + 2) = 1.

Simplifying, we get

c[2 + 6 + 12 + ... + (x + 1)(x + 2)] = 1.c[2(1 + 2 + 3 + ... + x) + 3(x + 1) + 2] = 1.

c[x(x + 1) + 3(x + 1) + 2] = 1, i.e.,

c = 1/[x(x + 3) + 2(x + 1)].

Hence the pmf is f(x) = (x + 1)(x + 2)/[x(x + 3) + 2(x + 1)], x = 0, 1, 2, 3, ....

The line graph of f(x) = (x + 1)(x + 2)/[x(x + 3) + 2(x + 1)]

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Using proportions, it is found that the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.

The Ruiz family is exchanging Euros for USD dollars, considering the following currency rate:

1 euro = 1.35261 USD.

Considering that the amounts in USD are rounded to the nearest hundredth, the use the following rule

1 euro - 1.35 USD.

It asks if the Ruiz family will be getting the most accurate answer.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For this problem, we suppose a 1000 euros amount, them:

Hence the Ruiz family is not getting the most accurate ratio and are losing money, thus the rounding should be realized after the conversion.

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Let's simplify each expression shown in the exercise:

Option a

Given:

You can apply the Product of powers property. This states the following:

Where "b" is the base and "n" and "m" are exponents.

Then, you get:

By definition:

Therefore:

The expression given in Option a is equal to 1.

Option b

Knowing that any number or expression with exponent zero is equal to 1, you get that:

The expression given in Option b is equal to 1.

Option c

Given:

You can notice that the numerator and the denominator are equal, then:

The expression given in Option c is equal to 1.

Option d

Given:

You can simplify it using the Quotient of powers property, which states that:

Then, you get:

The expression given in Option d is not equal to 1.

The answer is: Option d.

If X 1 and X 2 have the joint pdf f(x 1 ,x 2 )=2e −x 1 −x 2 for 0​ < [infinity]. The joint pdf of Y1 = 2X1 and Y2 = X2 - X1 is given by f(y1, y2) = e^(-y1/2 - y2).

To find the joint pdf of Y1 = 2X1 and Y2 = X2 - X1, we need to apply the transformation method and compute the Jacobian determinant.

Let's start by finding the inverse transformations:

X1 = Y1 / 2

X2 = Y2 + X1 = Y2 + (Y1 / 2)

Next, we compute the Jacobian determinant of the inverse transformations:

J = | ∂(X1, X2) / ∂(Y1, Y2) |

 = | ∂X1/∂Y1  ∂X1/∂Y2 |

   | ∂X2/∂Y1  ∂X2/∂Y2 |

Calculating the partial derivatives:

∂X1/∂Y1 = 1/2

∂X1/∂Y2 = 0

∂X2/∂Y1 = 1/2

∂X2/∂Y2 = 1

Now, we can compute the Jacobian determinant:

J = | 1/2  0 |

   | 1/2  1 |

 = (1/2)(1) - (0)(1/2)

 = 1/2

Since we have the joint pdf f(x1, x2) = 2e^(-x1-x2) for x1 > 0, x2 > 0, and zero elsewhere, we need to express this in terms of the new variables.

Substituting the inverse transformations into the joint pdf, we have:

f(y1, y2) = 2e^(-(y1/2) - (y2 + (y1/2)))

         = 2e^(-y1/2 - y2)

Finally, we need to multiply the joint pdf by the absolute value of the Jacobian determinant:

f(y1, y2) = |J| * f(x1, x2)

         = (1/2) * 2e^(-y1/2 - y2)

         = e^(-y1/2 - y2)

Therefore, the joint pdf of Y1 = 2X1 and Y2 = X2 - X1 is given by f(y1, y2) = e^(-y1/2 - y2).

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Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

The row-effect hypotheses compare department means, the column-effect hypotheses compare year means, and the interaction-effect hypotheses examine interaction effects.



To determine the main effects and interaction in the given data, we can perform a two-way analysis of variance (ANOVA). The row effect corresponds to the three departments (Marketing, Engineering, Finance), the column effect corresponds to the three years (2004, 2005, 2006), and the interaction effect tests whether the combined effect of department and year is significant.The correct row-effect hypotheses are:

a- H0: A1 ≠ A2 ≠ A3 ≠ 0 (Null hypothesis: the means of the departments are not all equal)b- H1: All the Aj are equal to zero (Alternative hypothesis: the means of the departments are all equal)

The correct column-effect hypotheses are:b- H0: B1 = B2 = B3 = 0 (Null hypothesis: the means of the years are all equal)

a- H1: Not all the Bj are equal to zero (Alternative hypothesis: the means of the years are not all equal)The correct interaction-effect hypotheses are:

b- H0: All the ABjk are equal to zero (Null hypothesis: there is no interaction effect)a- H1: Not all the ABjk are equal to zero (Alternative hypothesis: there is an interaction effect)

To determine if the main effects and interaction are significant, we would need to perform the ANOVA calculations using statistical software or tables and compare the obtained p-values with a chosen significance level (e.g., α = 0.05).

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Answer:

thassa wap :)

Answer:

thats some wap

Step-by-step explanation:

thats

some

wap

The radian measure of the central angle = (length of intercepted arc) / (radius)The length of intercepted arc (s) is 500 centimeters. the radian measure of the central angle is 2.5 radians.

When we look at a circle, there are two measures that can be used to determine the angle at the center. These two measures are degrees and radians. Degrees are used when measuring the angle in a way that is used more commonly in everyday life, while radians are used to measure angles when we are dealing with certain mathematical concepts.

Radians are used in calculus, trigonometry, and other advanced mathematical disciplines. The measure of an angle in radians is defined as the ratio of the length of the intercepted arc to the radius of the circle. The formula used to find the radian measure of the central angle is shown below; The radian measure of the central angle = (length of intercepted arc) / (radius)In this problem, we are given that the radius (r) of the circle is 2 meters, and the length of the intercepted arc (s) is 500 centimeters.

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Answer:

-3 if you evaluate 2-5 it will give you -3

Answer:

100 strawberries

Step-by-step explanation:

multipy 5 by 20 and you'll get 100

The equation of f(x) is f(x) = -6x^2 - 3x + 23.To find the equation of the quadratic function f(x) using the given table of values, we need to determine the coefficients of the quadratic equation in the form of f(x) = ax^2 + bx + c.

We can start by analyzing the pattern of the y-values (f(x)) corresponding to the x-values. Looking at the table, we notice that the y-values increase and then decrease, indicating that the quadratic function has a            concave-down shape.

Next, we observe that when x = 0, f(x) = 23. This gives us the value of c, which is the constant term in the quadratic equation. Therefore, c = 23.To find the other coefficients, we can choose any two points from the table and substitute them into the general quadratic equation. Let's choose (-3, 2) and (1, 14).Substituting (-3, 2):

2 = a(-3)^2 + b(-3) + 23

9a - 3b + 23 = 2Substituting (1, 14):

14 = a(1)^2 + b(1) + 23

a + b + 23 = 14Simplifying both equations, we have:

9a - 3b = -21 ---(1)

a + b = -9 ---(2)

Solving equations (1) and (2), we find a = -6 and b = -3.

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Erin is 27 years old.

Let's begin by assigning variables to the ages of Erin and Ellie. We can use "E" to represent Ellie's age, and "E+7" to represent Erin's age since Erin is 7 years older than Ellie.

Now, we know that the sum of their ages is 47, so we can create an equation:

E + (E+7) = 47

Simplifying this equation, we get:

2E + 7 = 47

Subtracting 7 from both sides:

2E = 40

Dividing both sides by 2:

E = 20

Therefore, Ellie is 20 years old. To find Erin's age, we can use the equation we created earlier:

Erin's age = E + 7

Erin's age = 20 + 7

Erin's age = 27

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