The function f(x) = x2 - 6x + 9 is shifted 5 units to the right to create g(x).
What is g(x)?
A. g(x) = (x + 5)2 - 6(x + 5) +9
B. g(x) = (x2 - 6x + 9) + 5
C. g(x) = (x2 - 6x + 9) - 5
D. g(x) = (x - 5)2 - 6(x - 5) + 9

The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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Answer:

C,D,E

Step-by-step explanation:

When you combine them together, you get these three combinations, for the sake of space I want to leave it there, but I can explain further if you need the explanations

There are 12 months.

3725/12 = 310.

310 per month was lost.

Heart/brainliest would help me reach Genius!

Answer:

Step-by-step explanation:

we know that there are 12 months in a year

Jared lost 3725 in 12 months

we want to find out how much he lost in 1 month

divide by 12

we get

310.416666667

this is $ 310.42 rounded up

Step-by-step explanation:

Join the Meet ❤️

Códe to joín :- eqt-kuxy-dpe

Everyone Can Jóin

Answer:

(C) 4y - 3

Step-by-step explanation:

"Taking away" is (-)

Four times y is 4×y or 4y

Answer:

1. 0 = -14

2. x = 0

3. 0 = 0

Step-by-step explanation:

I hope this helps have a great day

Rounding to three decimal places, the 95% confidence interval for the population proportion of times that the bats would follow the point is (0.565, 1.035).

To find the 95% confidence interval for the population proportion, we can use the formula for calculating confidence intervals for proportions:

Confidence Interval = Sample Proportion ± Margin of Error

The sample proportion is the number of successes (bats going to the correct feeder) divided by the sample size (total number of trials). In this case, the sample proportion is 8/10, which simplifies to 0.8.

The margin of error depends on the desired level of confidence. For a 95% confidence interval, the critical value is 1.96.

Margin of Error = Critical Value * Standard Error

The standard error is calculated as the square root of [(sample proportion * (1 - sample proportion)) / sample size]. In this case, it is sqrt[(0.8 * (1 - 0.8)) / 10], which simplifies to 0.12.

Now we can plug in the values:

Confidence Interval = 0.8 ± (1.96 * 0.12)

Calculating the confidence interval:

Confidence Interval = 0.8 ± 0.2352

Simplifying the interval:

Confidence Interval = (0.5648, 1.0352)

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The "d" format specifier is used to denote a signed decimal integer in various programming languages and formatting systems.

When used in format strings or printf-style functions, the "d" specifier indicates that the corresponding argument should be formatted as a signed decimal integer. It allows for the representation of both positive and negative whole numbers, including zero.

For example, in C programming, the printf function can be used with the "%d" format specifier to display a signed decimal integer value. Similarly, in other languages such as Python, the "{:d}" format specifier can be used with the format() function or string interpolation to represent a signed decimal integer.

Using the "d" specifier ensures that the output is formatted as a base-10 representation of a signed integer, taking into account the sign of the number.

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87 seats are empty.

hope it helps.

sorry if wrong.

Answer:

87 seats are empty

Step-by-step explanation:

9514 1404 393

Answer:

  15

Step-by-step explanation:

Let x represent the middle odd integer.

  5x = 3((x-2)+(x+2)) -13

  5x = 6x -13

  x = 13 . . . . the middle of 3 consecutive odd integers

The largest odd integer is 15.

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

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Given:

The table of values.

To find:

Whether the given table is a proportional or non proportional relation.

Solution:

If y is proportional to x, then

\(y\propto x\)

\(y=kx\)

\(\dfrac{y}{x}=k\)

Where, k is the constant of proportionality.

Find the value of k for each ordered pairs in table. If the value of k is constant, then the relation is proportional.

The ordered pairs from the table are (10,18), (11, 18.6), (12,19.2). The values of k for each ordered pair is:

\(\dfrac{18}{10}=1.8\)

\(\dfrac{18.6}{11}\approx 1.69\)

\(\dfrac{19.2}{12}=1.6\)

Since the value of k is not constant, therefore the given table represents a non proportional relationship.

No, the line passing through  (-4, 26) and (-2, 0) is  not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.

Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.

We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.

Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)

So, for first line we have (x₁, y₁)=(-4,26)

and (x₂, y₂)=(-2,0)

So, slope(m₁) of first line is =(0-26)/(-2 - (-4))

                  =>m₁ = -26/2

                   =>m₁ = -13     ----(eq1)

Similarly, for second line, we have (x₁, y₁)=(10,18)

and (x₂, y₂)=(5,3)

So, slope(m₂) of second line is =(3-18) / (5-10)

                =>m₂ = -15/-5

                 =>m₂=     3   -------(eq2)

On comparing eq1 and eq2,we get

 =>m₁≠m₂.

Hence, the given lines are not parallel.

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(Complete question) is:

Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?

Based on the information provided, Panel A is most likely showing a regression discontinuity design, while Panel B is showing a difference-in-difference design.

In a regression discontinuity design, the treatment group is determined based on a cutoff point, such as a certain score on a test.

This design is used to estimate the causal effect of a treatment by examining the difference in outcomes between the treatment and control groups before and after the treatment.

To summarize, Panel A most likely shows a regression discontinuity design, while Panel B most likely shows a difference-in-difference design.

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Answer:

Exactly. Under Trump so many families have gone missing and children are without their parents. He is such a horrible person and the fact that people actually like him mean they are ignorant and gullible or just as much of a racist as he is.

Step-by-step explanation:

Vote Biden 2020 #republicansforBiden

Answer:

x = ± √ 3

hope it helps

have a nice day

The method that can be used to write the equation of a line in slope-intercept form given two points is A. Find the slope using the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction, and then substitute one point and the slope into the equation y = m x + b to find the y-intercept.

It should be noted that the equation of line passing through two point =  y = mx + b.

Also, b can find out via putting values of x, y, and m in the equation of the line to get y-intercept.

In this case, the slope of the line will be y2 - y1/x2 - x1.

In conclusion, the correct option is A.

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Therefore, the smallest possible number of cupful needed to fill the container is 435 cups.

The bottle holds one liter, as stated in the question. The quantity of 200 ml glasses needed to fill the bottle must be determined. Therefore, it takes 5 glasses with a capacity of 200 ml to fill the bottle.

We must divide the container's volume by the volume of one cup, rounded to the nearest whole number, in order to determine the maximum number of cupfuls.

86 litres = 86,000 ml (since 1 liter = 1000 ml)

86,000 ml ÷ 200 ml/cup = 430 cups

Therefore, 430 cups would be the maximum number of cupfuls required to fill the container.

We must divide the capacity of the container by the volume of one cup, rounding up to the nearest whole integer, in order to determine the least number of cupfuls possible.

86 litres rounded up to the nearest litre is 87 litres.

87 litres = 87,000 ml

87,000 ml ÷ 200 ml/cup = 435 cups

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Answer:

\(C. a = 118^o; b = 49^o; c = 144^o; d = 98^o\)

Step-by-step explanation:

\(a=2(59)\\\\a=118^o\)

---------------

\(b=180-(59+72)\\\\b=180-131=\\\\b=49^o\)

---------------

\(C=2(72)\\\\C=144^o\)

----------------

\(d=2b\\\\d=2(49)\\\\d=98^o\)

--------------------

hope it helps...

have a great day!!

Given the equation of the function:

A) we will graph the function for:

the graph of the function over the given interval will be as shown in the following figure:

the behavior of the graph on this interval is the function decreasing.

C) This model can be used for years before 1995 or after 2018

Because there are no critical points on the graph which indicate the function will be showings a decrease as time increase.

Answer:

4 pairs cost $64

Step-by-step explanation:

16*4=64$

Answer:

144

Step-by-step explanation:

Base:16

Height: 18

Triangle area formula: (bxh)/2

16x18=288

288/2=144

Let's denote the amount invested at 8% as x and the amount invested at 10% as y.

According to the given information, Karim wants to invest a total of $100,000, and the combined annual income from both investments should be $9,000.

Set up the equations based on the information:

The first equation represents the total amount invested:

x + y = 100,000

The second equation represents the total annual income from the investments:

0.08x + 0.1y = 9,000

Solve the equations:

We can use the substitution or elimination method to solve the system of equations. Let's use the elimination method:

Multiply the first equation by 0.08 to match the coefficients of x:

0.08x + 0.08y = 8,000

Now subtract this equation from the second equation to eliminate x:

(0.08x + 0.1y) - (0.08x + 0.08y) = 9,000 - 8,000

0.02y = 1,000

Divide both sides of the equation by 0.02:

y = 1,000 / 0.02

y = 50,000

Substitute the value of y back into the first equation to solve for x:

x + 50,000 = 100,000

x = 100,000 - 50,000

x = 50,000

Calculate the amounts to invest:

Karim should invest $50,000 at 8% and $50,000 at 10% in order to obtain an annual income of $9,000 from both investments.

Karim should invest $50,000 at 8% and $50,000 at 10% in order to obtain an annual income of $9,000 from his investments.

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Therefore, we should draw a ring around the numbers 113 and 124.

A number is a mathematical object used to count, measure, and label. It is an abstract concept that represents a quantity or value. Numbers can be represented using symbols or words and can be classified into different types such as natural numbers, integers, rational numbers, real numbers, and complex numbers, among others. Numbers are used in a wide range of mathematical operations, including addition, subtraction, multiplication, division, and more complex calculations, and are an essential part of everyday life.

Here,

101 102 103 104 105

106 107 108 109 110

111 112 113 114 116

117 118 119 115 120

121 122 123 124 125

After dividing each number by 9, we get:

11 11 11 11 11

11 11 12 12 12

12 12 12 12 13

13 13 13 12 13

13 13 13 13 14

The numbers with a remainder of 4 when divided by 9 are: 13 and 4.

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The gradient of the chord PQ is 2h + 8

Let's first find the coordinates of points P and Q on the curve y = 2x^2+1.

Point P has an abscissa of 2, so its coordinates are (2, 2(2)^2+1) = (2, 9).

Point Q has an abscissa of 2+h, so its coordinates are (2+h, 2(2+h)^2+1) = (2+h, 2(4+4h+h^2)+1) = (2+h, 8+8h+2h^2+1) = (2+h, 2h^2+8h+9).

The gradient of the chord PQ is given by:

(m) = Δy /Δx

(m) = (2h^2+8h+9 - 9) / (2+h - 2)

(m) = (2h^2+8h) / (h)

(m) = 2h + 8

As h approaches zero, the gradient of the chord PQ approaches 8, because the term 2h becomes negligible compared to 8 when h is small. Therefore, the gradient of the tangent to the curve at point P is 8.

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draw anything you'd like haha

Answer:

\(y = \frac{2}{3} x\)

Step-by-step explanation:

let's first collect some data from the graph...

1. The line passes through the origin, so the y intercept equals 0

2. we now look for two points where the graph intersects. as established in number one it passes through point (0,0). from there we can go up the y-axis 2 spaces and to the right along the x-axis 3 spaces. this will give us our slope m rise over run or ⅔. That's enough information to write the equation of our line.

\(y = mx + b \\ m = \frac{2}{3} \\ b = 0 \\ y = \frac{2}{3} x + 0 \\ y = \frac{2}{3} x\)

Answer:

15 gallons

Step-by-step explanation:

(3 / 4) * (20 US gallons)

= 15 gallons

Answer:

15 gallons are in the tank

Step-by-step explanation:

3/4(20)