The quadratic function fx) has a vertex at (9, 8) and opens upward. If g(x) = 4(x-8)2 +9, which statement is true

Answer: 0.0036

Step-by-step explanation:

0.00359 — 0.0036

The nine rounds up

Answer:

x^7+x^6+x^5-x^4-x^3-x^2-x+1

Step-by-step explanation:

Despite traditional economic theory suggesting that an increase in the minimum wage should lead to unemployment, the actual impact on employment has been more nuanced. Empirical evidence suggests that moderate increases in the minimum wage have not led to massive job losses, but rather have resulted in small increases in labor costs that are offset by increased productivity and reduced employee turnover. Additionally, higher wages can increase consumer spending, leading to an increase in demand for goods and services, which can ultimately create more jobs.

There are several reasons why the federal minimum wage in the US is lower than in other developed countries. One reason is the political climate in the US, where there is often resistance to government intervention in the labor market. Additionally, many US states have their own minimum wage laws, which can be higher than the federal minimum wage. Finally, the US has a large low-skilled immigrant workforce, which can put downward pressure on wages.

I am not okay with the real minimum wage falling over time with the rise of inflation. Inflation erodes the purchasing power of workers, making it difficult for them to make ends meet. This can lead to increased financial hardship, which can have negative effects on individuals and families. Furthermore, the minimum wage was originally designed to ensure that workers earn a living wage, which is a basic necessity for a decent standard of living. As such, it is important that the minimum wage keep pace with inflation.

According to the Bureau of Labor Statistics, in 2021, about 1.9 million workers in the US earned at or below the federal minimum wage of $7.25 per hour. However, many more workers earn slightly above the minimum wage, and an increase in the minimum wage could potentially raise wages for those workers as well. Additionally, many states have higher minimum wage rates than the federal minimum wage, which means that the number of workers affected by changes to the minimum wage will vary depending on the state.

~~~Harsha~~~

Answer:

-41, -16, 0, 12, 34

Step-by-step explanation:

If you look at a number line, negatives are below zero, so that means negatives are lower then zero. The higher the negative, the further from zero, meaning they are even more less

Answer:

f=20

Step-by-step explanation:

each rectangle = 8in

8+8=16

36-16= 20

El supplemento y el complemento de cada ángulo son, respectivamente:

Caso A: m ∠ A' = 43°

Caso B: m ∠ A' = 31°

De acuerdo con la geometría, la suma de un ángulo y su complemento es igual a 90° and la suma de un ángulo y su suplemento es igual a 180°. Matemáticamente hablando, cada situación es descrita por las siguientes formulas:

Ángulo y su complemento

m ∠ A + m ∠ A' = 90°

Ángulo y su suplemento

m ∠ A + m ∠ A' = 90°

Donde:

Ahora procedemos a determinar cada ángulo faltante:

Caso A: Complemento

47° + m ∠ A' = 90°

m ∠ A' = 43°

Caso B: Suplemento

149° + m ∠ A' = 180°

m ∠ A' = 31°

El enunciado se encuentra escrito en español y la respuesta está escrita en el mismo idioma.

The statement is written in Spanish and its answer is written in the same language.

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Answer:

Y =4X  -3

Step-by-step explanation:

x1 y1  x2 y2

1 1  -2 -11

(Y2-Y1) (-11)-(1)=   -12  ΔY -12

(X2-X1) (-2)-(1)=    -3  ΔX -3

slope= 4          

B= -3          

Y =4X  -3    

Answer:

y=4x-3

Step-by-step explanation:

Hi there!

We are given the points (1,1) and (-2, -11) and we want to write the equation of the line in slop-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

So let's find the slope of the line

The formula for the slope calculated from two points is \(\frac{y_2-y_1}{x_2-x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are points

We have everything we need to calculate the slope, let's just label the points to avoid confusion

\(x_1=1\\y_1=1\\x_2=-2\\y_2=-11\)

Now substitute those values into the formula

m=\(\frac{y_2-y_1}{x_2-x_1}\)

m=\(\frac{-11-1}{-2-1}\)

Subtract

m=\(\frac{-12}{-3}\)

Divide

m=4

So the slope of the line is 4

Here is the equation of the line so far:

y=4x+b

We need to find b

As the equation passes through both (1,1) and (-2, -11), we can plug either one of them into the equation to solve for b

Taking (1,1) will give us this:

1=4(1)+b

Multiply

1=4+b

Subtract 4 from both sides

-3=b

Substitute -3 as b into the equation

y=4x-3

Hope this helps!

Answer: I don’t think I understand can you set this up differently so I can answer this please

Step-by-step explanation:

Answer:

Step-by-step explanation:

All real numbers because x can assume every possible value

g(x) = -2√x + 8 is the function that has the same range as f(x) = -2√(x - 3) + 8. Both functions have the range of y ≤ 8

The function that has the same range as f(x) = -2√(x - 3) + 8 is g(x) = -2√x + 8. Both functions have the range of y ≤ 8.There are a few steps involved in determining which function has the same range as f(x) = -2√(x - 3) + 8. The range of a function refers to all the possible output values that the function can produce.Let's begin by examining the original function:f(x) = -2√(x - 3) + 8The square root symbol (√) implies that x-3 must be greater than or equal to 0. If x-3 is negative, then the function would produce an imaginary result.

Let's solve for x when f(x) = 0:0 = -2√(x - 3) + 8-8 = -2√(x - 3)4 = √(x - 3)16 = x - 3x = 19This tells us that the x-value that produces an output of 0 is x = 19. To determine the range, we need to find the maximum and minimum output values. We can use a graphing calculator or sketch a graph to determine the shape of the function and the range.The shape of the function suggests that the range is y ≤ 8, which means that the maximum value of the function is 8. This tells us that any function with the same maximum output value of 8 will have the same range as f(x).

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The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

It is the reverse of differentiation. The differentiation is the rate of change of the function with respect to variables.

The integration is given below.

\(\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{(1 +x)^{2022}} \ dx\)

Then the integration can be written as

\(\rightarrow \rm \int _0^{\infty} \dfrac{x^{1010}}{[(1 +x)^{1011}]^2} \ dx\)

Let (1 + x)¹⁰¹¹ = t. Then 1011x¹⁰¹⁰ dx = dt.

Then we have

\(\rightarrow \int_{1}^{\infty } \dfrac{dt}{1011 \ t^2}\)

Then integrate

\(\rightarrow \dfrac{1}{1011} \left [ \dfrac{-1}{t} \right ]_{1}^{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ \dfrac{1}{t} \right ]^{1}_{\infty }\\\\\\\rightarrow \dfrac{1}{1011} \left [ 1- 0 \right ]\\\\\\\rightarrow \dfrac{1}{1011}\)

The integration of the provided integration expression which is evaluated without using the beta function is equal to 1/1011.

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A) The variable is n, which represents the number of the figure in the pattern.

B) Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                      1

2                      3

3                      6

4                     10

5                     15

6                     21

7                    28

8                    36

C) The equation to represent the nth term of the sequence is n(n+1)/2.

D) If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12.

E) It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

Here is a more detailed explanation of how to answer each question:

A) Identify and label the variable

The variable is n, which represents the number of the figure in the pattern. For example, the first figure is figure 1, the second figure is figure 2, and so on.

B) Make a table for up to 8-figure patterns

Here is a table for up to 8-figure patterns:

Figure Number of Cheerios

1                        1

2                        3

3                        6

4                        10

5                        15

6                        21

7                        28

8                        36

C) Write an equation to represent the nth term of the sequence

The equation to represent the nth term of the sequence is n(n+1)/2. This equation can be derived by looking at the table of values. For example, the number of Cheerios in the first figure is 1, which is equal to 1(1+1)/2. The number of Cheerios in the second figure is 3, which is equal to 2(2+1)/2. And so on.

D) If the pattern continues, what figure number will have 20 whole Cheerios in it?

If the pattern continues, the figure number that will have 20 whole Cheerios in it is 12. This can be found by solving the equation n(n+1)/2 = 20. The solution is n = 12.

E) Is it reasonable to think this pattern would continue forever? If not, explain.

It is not reasonable to think this pattern would continue forever. The number of Cheerios in each figure is increasing by 2 each time. This means that the number of Cheerios in the figure will eventually exceed the number of Cheerios in a box.

F) Based on the information provided, what is the largest figure number we can have using a full box of Cheerios?

Based on the information provided, the largest figure number we can have using a full box of Cheerios is 107. This is because there are 108 Cheerios in a box, and the number of Cheerios in each figure is increasing by 2 each time.

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On solving the providewd question we can say that, public static double solve(double a, double b, double c, boolean flag )

A quadratic equation is a quadratic polynomial in one variable that looks like this: x = ax2 + bx + c. a 0. This polynomial has at least one solution since it is a second-order polynomial, according to the Fundamental Theorem of Algebra. The answer can actually work or be difficult.

public static double solve(double a, double b, double c, boolean flag)

{     double d = Math.sqrt(b*b - 4*a*c);     if(flag)

{         return (-b + d) / (2*a);     }

else {         return (-b - d) / (2*a);     } }

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Step-by-step explanation:

The key sentence in this problem is "The cost c(in dollars) per family of the vacation home is inversely proportional to the number t of families sharing the house". Let's translate that into an equation by breaking it down. This is a fairly straightforward question but I will go through it in small steps as learning to translate word problems can be tricky!

First remove the descriptive words that do not translate to variables, constants, or operators. This leaves "cost per family is inversely proportional to number of families per cost of house". I rewrote "sharing the house" as "cost of house" since the families are sharing the cost of the house, not the actual house itself simultaneously. Proportionality in math is represented by the equation:

a1 / b1 = a2 / b2

In math "is" implies "=" or equality, and "per" implies "/" or division. So let's rewrite the sentence with that information.

"cost / family = number of families / cost of house"

Inversely proportional tells us that as c grows, t will decrease and vice-versa. Thus, we know c and t are on opposite side of the division sign. Another way you can look at it, is that we must flip the left side of the equation as it is inversely proportional (what we have now is directly proportional).

"cost / family = cost of house / number of families"

Now to get our final equation we just need to replace the remaining words with variables and constants. I will use Ch for cost of house and f for family, we already were given t for number of families, and c for cost.

c / f = Ch / t

We do not know Ch yet, but we do know f = 1 as it represents 1 family's associated cost. We can solve for Ch if we plug in the c = 1000, t = 3 pair of values we were given. I will omit f as division by 1 simplifies to the numerator (in this case c).

1000 = Ch/3

3000 = Ch Multiplying both sides by 3 and dividing simplifying division by 1

We can now rewrite our final proportion equation: c = 3000/t. Remember we want the cost to be 600 per family and are looking for t, the number of families we need.

600 = 3000 / t

600 * t = 3000 Multiplying both side by t

t = 3000 / 600 Divide both sides by 600

t = 5

So 5 families will result in each family contributing $600. The cool part about proportionality equations, is once we have solved for the equation constants we can figure out the resulting variable from any other variable. For example if I knew 8 families had signed up to rent my beach house this summer then I would be able to plug in t = 8 and get c = 3000/8 or c = 375. Thus each family would only pay $375. I hope this helps your understanding of proportionality and translating word problems into equations.

Answer:

B. principal

Step-by-step explanation:

Taking into account the definition of composition of functions, the composition of the two functions is g(f(x))= x²-3.

The composition of functions consists in evaluating the same value of the independent variable (x) in two or more functions successively.

A composite function is a function that is formed by the composition of two functions, which consists of successively applying the functions that are part of the operation.

Being the function g(f(x)) the compound of g with f, being f(x) a function, then g(f(x)) is obtained by substituting f(x) in the expression of g(x).

Given the functions f(x)=x² and g(x)=x-3, the composition g(f(x)) is calculated as:

g(f(x))= g(x²)= x²-3

In summary, the composition of the two functions is g(f(x))= x²-3.

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Answer:

Mean = 59.1, Median = 61

(there might have been a mistake in calculation (a lot of numbers!))

Step-by-step explanation:

The sample size is 40,

Now, the formula for the mean is,

Mean = (sum of the sample values)/(sample size)

so we get,

\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)

To find the median, we have to sort the list in ascending (or descending)order,

we get the list,

22,25,37,39,39,41,41,45,48,49,

49,51,52, 52,55,58, 58, 59, 59, 61,

61, 61, 61, 63, 63, 63, 65, 68, 71, 72,

72, 75, 75, 75, 75, 78, 78, 81, 82, 85

Now, we have to find the median,

since there are 40 values, we divide by 2 to get, 40/2 = 20

now, to find the median, we takethe average of the values above and below this value,

\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)

And the (n+1)th value is the 21st value

Now,

The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,

Median = (61+61)/2

Median = 61

We have the two points: (3, -12) and (13,8)

To find the equation:

Step 1. Label the coordinates as follows:

Step 2. Find the slope of the line with the slope formula:

Substituting the values:

simplifying the result:

Step 3. Use point (x1,y1) which is (3,-12) and the slope m=2 in the point slope equation:

Substituting the values:

And we simplify to solve for y, also, we use distributive property on the right side to multiply 2 by x and 2 by -3:

Finally, we substract 12 to both sides:

Answer: y=2x-18

Answer:

it would be 11....................

Answer:

its 11

according to the BODMAS RULE

Answer:

I believe the answer will be 63 degrees not 100% sure tho

Step-by-step explanation:

The reason is because triangle FHE measures 27 degrees it looks like FHE is a right triangle so there needs to be a total of 90 degrees in a right triangle so 90-27=63 like I said not 100% correct

Answer:

x = -3 + 2 i or x = -3 - 2 i

Step-by-step explanation:

Solve for x:

x^2 + 6 x + 13 = 0

Hint: | Solve the quadratic equation by completing the square.

Subtract 13 from both sides:

x^2 + 6 x = -13

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 9 to both sides:

x^2 + 6 x + 9 = -4

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 3)^2 = -4

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 3 = 2 i or x + 3 = -2 i

Hint: | Look at the first equation: Solve for x.

Subtract 3 from both sides:

x = -3 + 2 i or x + 3 = -2 i

Hint: | Look at the second equation: Solve for x.

Subtract 3 from both sides:

Answer: x = -3 + 2 i or x = -3 - 2 i

Answer: 3. 17 and 15 over 30

Step-by-step explanation:

2x15 so 1 x 15

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:

Step 1: Divide the coefficient of x by 2 and square the result.

  (Coefficient of x) / 2 = -28/2 = -14

  (-14)² = 196

Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.

  g(x) = 4x² - 28x + 49

  = 4x² - 28x + 196 - 196 + 49

Step 3: Rearrange the terms and factor the perfect square trinomial.

  g(x) = (4x² - 28x + 196) - 196 + 49

  = 4(x² - 7x + 49) - 147

  = 4(x² - 7x + 49) - 147

Step 4: Write the perfect square trinomial as the square of a binomial.

  g(x) = 4(x - 7/2)² - 147

Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.

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The probable question may be:

Rewrite the function by completing the square.

g(x)=4x²-28x +49

g(x)= ____  (x+___ )²+____.

Answer:

I think the answer is C

Step-by-step explanation:

Because they said there are 34 currently so if you add 36 or 34 to 70 it has to be C

The quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

From the question, we are to determine how much water is left in the barrel

From the given information,

"The barrel is filled with 18 gallons of water"

and

"Ryan used 9.7 gallons to water his garden in June"

After this time,

The quantity of water that would be left in the barrel will be 18 gallons - 9.7 gallons

= 8.3 gallons

Then,

3 and one eighth gallons in July

3 and one eighth = 3 1/8 = 3.125 gallons

The quantity of water that would be left is 8.3 gallons - 3.125 gallons

= 5.175 gallons

Hence, the quantity of water left in the barrel is 5.175 gallons. The correct option is the second option 5.175 gallons

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Answer:

b

Step-by-step explanation:

The width of the rectangle is 14 units and the right option is b 14

Perimeter can be defined as the total distance around an object.

To calculate the width of the rectangle, we use the formula of perimeter.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the width of the rectangle is 14 units and the right option is b 14

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(1) p value is 0.234. So the 4th option is correct.

(2) p value grater that any alpha values so we fail to reject the null. So the 4th option is correct.

(3) The outcome is significant if the null hypothesis is rejected. So the third option is the correct choice.

4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

We consider the following hypothesis-

H0: µ1 = µ2 vs H1: µ1 ≠ µ2

Where µ1 is the population mean of the non FL res

µ2 is the population mean of the FL res

1) p value = 0.234

(Obtained by p value calculator corresponding to the test statistic at 0.05 significance level with degrees of freedom 232+1224-2 = 1454)

Hence the 4th option is correct.

2) We know if p value ≤ α we reject the null.

Here since p value grater that any alpha values so we fail to reject the null.

Hence the 4th option is correct i.e, t none of the usual α.

(3) The outcome is significant if the null hypothesis is rejected. This conclusion is neither statistically nor practically significant because we are unable to reject the null hypothesis. The third option is the correct choice.

(4) We lack sufficient data to claim that UF students who are Florida residents differ from non-Florida residents in the average number of cities they have lived in since we are unable to reject the null hypothesis.

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The right question is given below:

Answer:

The cost of one woolen shirt is 55 dollars.

Step-by-step explanation:

Answer: I Think its 65$

Step-by-step explanation: