find the x-coordinate of the vertex of the function given below. y = x^2 + 12x + 21

Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

Let's calculate the final amount paid by Alice and Jeff for their purchases.

Alice:

Jeff:

So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.

Learn more about discount here https://brainly.com/question/15319179

#SPJ4

Answer:

it is a statistical question.

Step-by-step explanation:

Statistics is a branch of mathematics that deals with collecting, analyzing, and interpreting information.  

Answer:

D

Step-by-step explanation:

interior angles = 180

180-72

3 apple + 7 blackberrys = 99

2 apple + 14 blackberrys = 178

Then now find

apples = (99 - 7 B)/3 = (178 - 14B)/2

Now make cross multiply

(99 - 7B) •2 = (178 - 14B) •3

Solve parenthesis, use a (b+c) = ab + ac

Then

198 - 14B = 534 - 42B

Now find Blackberrys B PRICE

42B - 14B = 534 - 198

28B = 336

B= 336/28 = 12

Now find Apples price

Apples= ( 99 - 7B) /3 = (99 - 7•12)/3 = 15/3= 5

Then final answer is

Apple's price= $5

Blackberry's price= $12

Answer:

$271.00. Remember to put it in the right format

Step-by-step explanation:

So since its 35 dollars per day, we can first do 35*4 to get 140. So just for having the car, it costs 125 dollars.

Now to find the amount of money for the miles, we can do 730*0.20=146

Now we add those two amounts so we do 125+146=271.

So $271.00

Step-by-step explanation:

remember, the circumference of a circle is

2×pi×r

and that is for the full 360° of a circle.

how long will the arc length of 1° be ?

well,

2×pi×r / 360

and how long will the arc length of 78° be ?

well,

78 × 1° = 2×pi×r × 78/360

you see ? that is the whole trick ...

now we only need to enter the value for r (radius).

and that is GH = 9 units.

so, the length of the arc GJ is

2×pi×9 × 78/360 = 2×pi × 78/40 = pi × 78/20 =

= 12.25221135... ≈ 12.25 units

Answer: At least 13

Step-by-step explanation:

The B) constant variance assumption requires that all variation around the regression line should be equal at all possible values (levels) of the independent variable.

The constant variance assumption, also known as homoscedasticity, requires that the variance of the residuals (i.e., the differences between observed and predicted values) should be approximately the same across all levels of the independent variable.

This assumption is necessary for valid statistical inference in linear regression analysis because violations of constant variance can result in biased estimates of the regression coefficients and incorrect hypothesis tests.

The independent variable is the variable that is used to predict the dependent variable. The constant variance assumption applies to the residuals at all possible values of the independent variable. Therefore, the correct answer is B. constant variance, independent.

For more questions like Variable click the link below:

https://brainly.com/question/17344045

#SPJ11

Answer:

\(5\frac{3}{4}\)

Step-by-step explanation:

You need to set bot denominators equal so multiply the second fraction by two for both the top and bottom.

\(2\frac{1}{4} +3\frac{1}{2} \\ =2\frac{1}{4} +3\frac{2}{4}\\\\ =5\frac{3}{4}\)

Answer:

  NK = 26

Step-by-step explanation:

You have a triangle with the centroid identified and all medians drawn. You are given IK = 52 and want NK, where point N is the intersection of median JN with side IK.

The centroid of a triangle is the point where the medians intersect. It divides each median in the ratio 2:1.

A median of a triangle joins a vertex with the midpoint of the opposite side. Here, that means point N is the midpoint of side IK.

IK is given as length 52, so each half of that segment is 52/2 = 26.

  IN = NK = 26

Answer:

d

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

x = 37/11

Step-by-step explanation:

7(x + 2) - 5(x + 3) = 9(4 - x)

=> 7x + 14 - 5x - 15 = 36 - 9x

=> 2x - 1 = 36 - 9x

=> 11x = 37

=> x = 37/11

Hoped this helped.

The function f(x) should be shifted 4 units to the right to obtain g(x). To shift f(x) to obtain g(x), we need to find the horizontal shift or translation.

In g(x), the function is shifted 4 units to the right compared to f(x). This means that the vertex of g(x) is at x = 4, while the vertex of f(x) is at x = 0.To calculate the shift, we compare the vertex positions. The vertex form of a parabola is given by f(x) = a(x-h)^2 + k, where (h,k) represents the vertex coordinates. For f(x), the vertex is at (0, 0), and for g(x), the vertex is at (4, 0). The shift can be determined by finding the difference in x-coordinates of the two vertices, which is 4.

To obtain g(x) from f(x), we need to shift f(x) 4 units to the right. The resulting function g(x) will have its vertex at x = 4, matching the vertex of g(x) = (x - 4)^2.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

The confidence interval estimate of -$850 to $1,140 for the difference between the mean starting salaries of spring and fall graduates from a public university suggests that there is no statistically significant difference between the two populations.

Since the interval contains both positive and negative values, it suggests that the difference in starting salaries between the two groups could be negative, positive, or zero, with a certain level of confidence. The 95% confidence level means that if we were to repeat this study many times, in 95% of cases, the true difference in population means would fall within this interval.

Thus, it can be concluded that there is no strong evidence to suggest that starting salaries for spring graduates are significantly different from those for fall graduates. This information may be useful for university administrators in planning the academic calendar or for students in deciding when to complete their studies. However, other factors such as industry trends and individual qualifications should also be considered when making career decisions.

To  learn  more about population click here:brainly.com/question/31598322

#SPJ11

Answer: The gradient is 2.

Step-by-step explanation:

       The gradient of a line is also known as the slope of a line. When given a graph with clear points, we can find the slope with "rise over run."

       Starting at (0, 1), we will count up two units and right one unit to (2, 2) giving us a gradient of \(\frac{2}{1}\) which is equal to 2.

Answer:

25

Step-by-step explanation:

12 x 100 = 1200

1200 / 48 = 25

The parallax problem is a phenomenon that arises when measuring the distance to a celestial object by observing its apparent shift in position relative to background objects due to the motion of the observer.

The parallax effect is based on the principle of triangulation. By observing an object from two different positions, such as opposite sides of Earth's orbit around the Sun, astronomers can measure the change in its apparent position. The greater the shift observed, the closer the object is to Earth.

However, the parallax problem introduces challenges in accurate measurement. Firstly, the shift in position is extremely small, especially for objects that are very far away. The angular shift can be as small as a fraction of an arcsecond, requiring precise instruments and careful measurements.

Secondly, atmospheric conditions, instrumental limitations, and other factors can introduce errors in the measurements. These errors need to be accounted for and minimized to obtain accurate distance calculations.

To overcome these challenges, astronomers employ advanced techniques and technologies. High-precision telescopes, adaptive optics, and sophisticated data analysis methods are used to improve measurement accuracy. Statistical analysis and error propagation techniques help estimate uncertainties associated with parallax measurements.

Despite the difficulties, the parallax method has been instrumental in determining the distances to many stars and has contributed to our understanding of the scale and structure of the universe. It provides a fundamental tool in astronomy and has paved the way for further investigations into the cosmos.

For more such questions on  parallax problem

https://brainly.com/question/17057769

#SPJ8

Based on the information, the number is 5.

Let the number be x. Tripling the number we get = 3x. On subtraction from 28, the equation will be: 28 - 3x. Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3. Now equating these two equations.

28 - 3x = 2x + 3

Rewriting the equation

3x + 2x = 28 - 3

Performing addition on Left Hand Side and subtraction on Right and Side

5x = 25

x = 25 ÷ 5

Performing division on Right Hand Side

x = 5

Hence, the number is 5.

Learn more about equations -

https://brainly.com/question/26714672

#SPJ4

The value of "a" is approximately 1.83 given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive.

We are given that the absolute value of the difference between the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive. We need to find the value of "a".

Let the two roots of the equation be r1 and r2, where r1 is not equal to r2. Then, we have:

|r1 - r2| = √(61) / 3

The sum of the roots of the quadratic equation is given by r1 + r2 = -5 / a, and the product of the roots is given by r1 × r2 = -3 / a.

We can express the difference between the roots in terms of the sum and product of the roots as follows:

r1 - r2 = √((r1 + r2)² - 4r1r2)

Substituting the expressions we obtained earlier, we have:

r1 - r2 = √(((-5 / a)²) + (4 × (3 / a)))

Simplifying, we get:

r1 - r2 = √((25 / a²) + (12 / a))

Taking the absolute value of both sides, we get:

|r1 - r2| = √((25 / a²) + (12 / a))

Comparing this with the given expression |r1 - r2| = √(61) / 3, we get:

√((25 / a²) + (12 / a)) = √(61) / 3

Squaring both sides and simplifying, we get:

25 / a² + 12 / a - 61 / 9 = 0

Multiplying both sides by 9a², we get:

225 + 108a - 61a² = 0

Solving this quadratic equation for "a", we get:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61)

Since "a" must be positive, we take the positive root:

a = (108 + √(108² + 4 × 61 × 225)) / (2 × 61) ≈ 1.83

Therefore, the value of "a" is approximately 1.83.

Learn more about absolute value at

https://brainly.com/question/1301718

#SPJ4

The question is -

Given that the absolute value of the difference of the two roots of the quadratic equation "ax squared plus 5x minus 3 equals 0" is the square root of 61 divided by 3, and "a" is positive, what is the value of "a"?

Answer:

translate it 12 units right

Step-by-step explanation:

To transform the pre-image (purple) onto the image (white), we can translate 12 units rights.

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

The pre-image (purple) and the image (white) is shown in image.

Now, To transform the pre-image (purple) onto the image (white), we can translate 12 units rights.

And, Then it get transform the pre-image (purple) onto the image (white).

Learn more about the transformation visit;

https://brainly.com/question/30097107

#SPJ5

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

The sampling distribution of x (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions are based on the Central Limit Theorem (CLT), which states that:

1. The sample size (n) is large enough, typically n > 30. This ensures that the sampling distribution of x becomes more normally distributed as the sample size increases.
2. The population from which the sample is drawn is either normally distributed or the sample size is large enough to compensate for non-normality.

The sampling distribution of x overbarx (the sample mean) will be approximately normally distributed if certain conditions are met. These conditions include:
1. The population distribution must be normal or approximately normal.
2. The sample size should be large (typically n > 30).
3. The samples should be randomly selected from the population.

If these conditions are met, the sampling distribution of x will be approximately normally distributed. This is helpful in statistical analyses, as it allows us to make inferences about the population mean using the properties of the normal distribution.

Learn more about population mean:

brainly.com/question/30727743

#SPJ11

Answer:

80

Step-by-step explanation:

Freddie is one meter shorter than his father

His father is 180 centimeters tall

So freddie is 80 centimetres

Freddie is mother÷2

So 80=M÷2

Mother is 190 centimeters

The number of centimeters when Freddie’s mother should be tall is considered to be 90.

Since

Freddie is half as tall as his mother.

Freddie is one metre shorter than his father.

Freddie’s father is 180 centimetres tall.

So

the Freddie is mother is

= 180 / 2

= 90

hence, The number of centimeters when Freddie’s mother should be tall is considered to be 90.

Learn more about number here: https://brainly.com/question/17882496

Answer:

$0.407291667 per ounce

Step-by-step explanation: there are 16 ounces in a pound.   16 times 3 is 48.

in order to find the price per ounce, we need to divide the total price by the number of ounces

19.55/48 is 0.407291667

The tangent on the unit circle is y/x

The point on the unit circle is given as:

Point = (x,y)

By default

(cos(ø), sin(ø)) = (x,y)

This means that:

cos(ø) = x

sin(ø) = y

The tangent of an angle is:

tan(ø) = sin(ø)/cos(ø)

So, we have:

tan(ø) =y/x

Hence, the tangent on the unit circle is y/x

Read more about unit circle at:

https://brainly.com/question/16364735

#SPJ1

The width of the stream in the elliptical culvert is approximately 63.03 feet

To find the width of the stream in the elliptical culvert, we can use the formula for the cross-sectional area of an ellipse, which is given by:

A = π * a * b

Where:

A is the cross-sectional area,

π is a mathematical constant (approximately 3.14159),

a is half of the height (major axis) of the ellipse, and

b is half of the width (minor axis) of the ellipse.

In this case, the given dimensions are:

a = 3.8 feet (half of the height)

b = 7.7 feet (half of the width)

Substituting the values into the formula:

A = π * 3.8 * 7.7

Calculating the cross-sectional area:

A ≈ 91.328 square feet

Since the culvert is filled with water to a depth of 1.45 feet, the width of the stream can be determined by dividing the cross-sectional area by the depth of the water:

Width of the stream = A / depth

Width of the stream ≈ 91.328 / 1.45

Width of the stream ≈ 63.03 feet (rounded to two decimal places)

Know more about elliptical culvert here:

https://brainly.com/question/20595748

#SPJ11

The potential causes for extreme emotion are Chemical imbalance, drug use, mild stress

When someone starts displaying extreme emotions, we frequently discover that they lack emotional control, are brave, and occasionally even are annoying. This person reacts in an exaggerated way to any situation or circumstance, no matter how unimportant it may seem.

However, biological factors and other factors that interfere with a person's psyche can cause these emotions to be triggered, leading to the externalization of exaggerated emotions. Chemical imbalance, drug use, and mild stress are a few of these factors.

To know more about an extreme emotion follow

https://brainly.com/question/2519884

#SPJ1

Answer:

46 1/2 miles

Step-by-step explanation:

Given:

Distance = 15 1/2 miles

Time = 1/3 hour

Distance =?

Time = 1 hour

Distance : time

15 1/2 miles : 1/3 hour = ? miles : 1 hour

31/2 miles ÷ 1/3 bout = x miles / 1 hour

31/2 × 3/1 = x / 1

93 /2 = x

x = 93/2 miles

= 46 1/2 miles

Therefore, the bus will travel 46 1/2 miles in an hour