find the slope of the line on the graph

Hi king,

Write \(4x^{2} + 16x - 9\) in vertex form:

f(x)=\(4x^{2} + 16x - 9\)

f(x)=\(4(x+2)^{2} -25\)

Write \(5x^{2} - 10x + 4\) in vertex form:

g(x)=\(5x^{2} - 10x + 4\)

g(x)=\(5(x-1)^{2} -1\)

Have a great day.

Answer:

36.3 gallons

Step-by-step explanation:

14.5/.4 = 36.3

Analyzing the function f(x) = -2•x³ + 5•x² - 3•x + 1, using the criteria f(x) = f(-x) for even functions and f(x) = -f(-x) for odd functions, gives the correct option as the option

A. Neither even or odd

An even function satisfy the equation f(x) = f(-x)

An even function is one that is symmetrical about the y-axis

An odd function satisfy the equation f(x) = -f(-x)

The shape graph of an odd function is inverted as it crosses the y-axis.

Analyzing the function f(x) = -2•x³ + 5•x² - 3•x + 1 gives;

f(1) = -2•1³ + 5•1² - 3•1 + 1 = -1

f(-1) = -2•(-1)³ + 5•(-1)² - 3•(-1) + 1 = 11

f(1) ≠ f(-1)

-f(-1) = -2•(-1)³ + 5•(-1)² - 3•(-1) + 1 = 11

f(1) ≠ -f(-1)

The function is therefore;

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Answer: Angle 3

Step-by-step explanation:

Answer:

26.2

Step-by-step explanation:

From the given diagram;

Opposite side IJ = 22

Hypotenuse HI = x

Angle of elevation = 57degrees

Using the SOH CAH TOA;

sin theta = opposite/hypotenuse

sin theta = IJ/HI

sin57 = 22/x

x = 22/sin57

x = 22/0.8387

x = 26.2

Hence the legnth of HI is 26.2

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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9514 1404 393

Answer:

  7-x = 3(x -3)

Step-by-step explanation:

The brother's age is 10-x. Three years ago, their ages were (x-3) and (7-x). At that time, the relation between their ages was ...

  7-x = 3(x -3)

_____

The solution is ...

  16 = 4x . . . . add 9+x

  x = 4 . . . . . . divide by 4

James is 4; his brother is 6.

Each of Liam, Anika, and Sai is figuring out the identical equation for x. 12x+4=20x-12 in the original equation. 12x+16=20x was the outcome of Sai's initial action.

Getting the variable on one side is the first step in solving an equation with a variable on both sides once it has been simplified. To do this, one of the words with the variable's addition or subtraction is reversed.

12 x + 4 = 20 x - 12 x 4 = 20 x - 12 x - 12 x 4 = 8x - 12

The linear term was then simply merged.

12 on each side is added. Consequently, 12 x + 16 = 20 x. 12 x + 4 + 12 = 20 x

12 x + 4 = 20 x - 12 is the analysis.

12 on each side added

Consequently, 12 x + 16 = 20 x. 12 x + 4 + 12 = 20 x

12 x from both sides 16 = 20 x - 12 x 16 = 8x x = 2.

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∠mkj angle is an adjacent interior angle to ∠jkm

Adjacent interior angles are two angles that share a common vertex and a common side. In the given angle ∠jkm, the common vertex is at point "k" and the common side is the line segment joining points "j" and "m". Therefore, the adjacent interior angle to ∠jkm is ∠mkj.

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The x-coordinate of the plotted point is 2.

In Mathematics and Geometry, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements or data points that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph.

Based on the cartesian coordinate (grid) above, the coordinate points and quadrants should be identified as follows;

Point 1 ⇔  (2, 4) → quadrant I.

In conclusion, we can logically deduce that the x-coordinate of this point is 2.

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Answer:

maybe 3(5+x)

Step-by-step explanation:

I don't know if this is what you're looking for but if you factor the expression that is what you would get. It is something equivalent.

Answer:

(Some textbooks describe a proportional relationship by saying that " y varies proportionally with x " or that " y is directly proportional to x .") This means that as x increases, y increases and as x decreases, y decreases-and that the ratio between them always stays the same.

Step-by-step explanation:

google

and I know that the second one is the answer I dont know the others

Answer:

Bro ans 63168

Step-by-step explanation:

987×64=63168

Answer:

63,168

Step-by-step explanation:

The standard deviation measures the spread of data points around the mean. It considers all data points, not just the farthest or nearest ones. A higher standard deviation indicates a greater spread.

The standard deviation is a statistical measure that tells us how much the data points in a set vary from the mean. It provides information about the spread or dispersion of the data. To calculate the standard deviation, we take the square root of the variance, which is the average of the squared differences between each data point and the mean.

By considering all data points, the standard deviation provides a comprehensive measure of how spread out the data is. Therefore, the statement "The difference between the mean and the data point farthest from the mean" is incorrect, as the standard deviation does not focus on just one data point.

The statement "The difference between the mean and the data point nearest to the mean" is also incorrect because the standard deviation takes into account the entire data set. The statement "The difference between the mean and the median" is incorrect as well, as the standard deviation is not specifically related to the median.

Hence, the correct answer is "None of the above."

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Answer:

is 3.5 one year? we need more info

Answer:

2

Step-by-step explanation:

Based on the information provided, I would assume that the nutritionist said Morgan had eaten as much McDonald's in 30 days as a nutritionist would say you should eat in several years, perhaps 5-10 years.

The nutritionist indicated that Morgan consumed an excessive amount of McDonald's food in just 30 days.

This amount is equivalent to what a nutritionist would recommend eating over a significantly longer period, possibly several years.

The key takeaway is to maintain a balanced diet and follow the guidance of nutritionists to ensure a healthy lifestyle.

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The nutritionist said that Morgan had eaten as much McDonald's in 30 days as a nutritionist would say you should eat in several years

The nutritionist said that Morgan had consumed as much McDonald's food in 30 days as a nutritionist would recommend eating in several years. This comparison emphasizes the excessive and unhealthy nature of Morgan's McDonald's consumption.

While the specific number of years can vary depending on individual dietary recommendations, it is typically advised to consume fast food and processed foods in moderation or as occasional treats. These foods are often high in unhealthy fats, sodium, and added sugars, which can contribute to various health issues, including obesity, cardiovascular diseases, and diabetes.

The nutritionist's statement serves as a reminder of the importance of a balanced and nutritious diet consisting of whole foods, fruits, vegetables, lean proteins, and whole grains for maintaining optimal health and well-being.

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The correct inequality that represents the sentence "A number is no more than 57" is n ≤ 57.

Let's break it down step-by-step:

The phrase "no more than" indicates that the number should not exceed 57. In other words, it means that the number should be less than or equal to 57.

To represent this mathematically, we use the symbol "≤" which means "less than or equal to." So, the inequality n ≤ 57 represents that a number (n) is less than or equal to 57.

In this case, the "≤" symbol includes the possibility that the number can be exactly 57 as well.

Other inequalities in the given options are:
- n < 57: This means that the number should be strictly less than 57, so it does not include the possibility of being equal to 57.
- n > 57: This means that the number should be strictly greater than 57, so it does not include the possibility of being equal to 57.
- n ≥ 57: This means that the number should be greater than or equal to 57. While it includes the possibility of being equal to 57, it does not represent the phrase "no more than."

Therefore, the correct inequality that represents the sentence "A number is no more than 57" is n ≤ 57.

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Answer:

what percent of interest does Jerry have?

The problem statement as written does not have a solution.

Let the total number of incoming freshmen be \($n$\). When they are lined up in columns of 23, we know that \($n$\) is one less than a multiple of 23 since there are 22 people in the last column. Therefore, we can write:

\($$n=23 a-1$$\)

for some integer a Similarly, when they are lined up in columns of 21 , we know that n is two less than a multiple of 21 since there are 14 people in the last column. Therefore, we can write:

\($$n=21 b-2$$\)

for some integer b.

We want to solve for n. One approach is to use modular arithmetic. We can rewrite the first equation as:

\($$n+1 \equiv 0(\bmod 23)$$\)

which means that \($n+1$\) is a multiple of 23. Similarly, we can rewrite the second equation as:

\($n+2 \equiv 0(\bmod 21)$\)

which means that n+2 is a multiple of 21 .

We can use these congruences to eliminate n and solve for the unknown integers a and b. Subtracting the second congruence from the first, we get:

\($$n+1-(n+2) \equiv 0(\bmod 23)-(\bmod 21)$$\)

which simplifies to:

\($$-1 \equiv 2(\bmod 23)-(\bmod 21)$$\)

or equivalently:

\($$-1 \equiv 2(\bmod 2)$$\)

This is a contradiction, so there is no solution in integers. Therefore, something must be wrong with the problem statement.

One possibility is that there is a typo and the number of people in the last column of the lineup of 23 should be 21 instead of 22. In that case, we would have:

\($$n=23 a-2$$\)

and

\($$n=21 b-7$$\)

Using modular arithmetic as before, we get:

\($$n+2 \equiv 0(\bmod 23)$$\)

and

\($$n+7 \equiv 0(\bmod 21)$$\)

Subtracting the second congruence from the first, we get:

\($$n+2-(n+7) \equiv 0(\bmod 23)-(\bmod 21)$$\)

which simplifies to:

\($$-5 \equiv 2(\bmod 2)$$\)

This is another contradiction, so this possibility is also not valid.

Therefore, the problem statement as written does not have a solution.

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The sum of the numbers written on the faces of the cube is 333.

A vertex, also known as a point, is a fundamental part of a shape or an object. It is the point at which two or more lines, edges, or faces meet. Vertex can also refer to the corner of a polygon, where multiple lines meet. In 3D geometry, a vertex is a point where three or more edges meet. In a 3D object, each vertex is considered to be a corner of the object. Vertices are a crucial part of the structure and design of shapes, and can be used to define a shape's size, shape and dimension.

The sum of the numbers written on the faces of the cube is equal to the sum of the products of the numbers assigned to the vertices of the cube divided by three. Since the sum of the numbers assigned to all the vertices is equal to 1001, the sum of the numbers written on the faces of the cube is equal to 1001/3, which is equal to 333. Therefore, the sum of the numbers written on the faces of the cube is 333.

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The converted value of the units 3000 meters to the required miles is given by 1. 8641 miles ( round up to four decimal places ) .

Standard form to Convert meters and miles is equal to :

1 meter = 0.000621371 miles

Now,  the value of 3000 meters in miles we get by multiplying it by 0.000621371 we get,

3000 meters = ( 3000 ) × ( 0.000621371 ) miles

                      = ( 1.864113 ) miles

                      = ( 1.8641 ) miles ( round up to four decimals places )

Therefore, the value of 3000 meters to miles is equal to ( 1.8641 ) miles ( round up to four decimals places ) .

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Answer:

$390

Step-by-step explanation:

so he has $500

he took $40,which is $460

then he put in $30,$490

then he took away $100,$390

hopefully you understand

Answer:

Step-by-step explanation:

Step-by-step explanation:

4x > 17

4x > 17 -1

4x > 16

x > 4

No, we cannot conclude that 90% of households have between .7 and 2.1 children based on the confidence interval alone.

Based on the confidence interval alone, we cannot come to the conclusion that 90% of households have a number of children between .7 and 2.1. A confidence interval only provides a range of values that likely contains the true population parameter (in this case, the average number of children per household) with a certain level of confidence (in this case, 90%). It does not provide information about the distribution of the variable within the population. Therefore, we cannot make any conclusions about what percentage of households have a certain number of children based on the confidence interval alone.

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Answer:

$50

Step-by-step explanation:

jbbbbbhhhjjnnnnnnnnnnjhvcc I don't have him call

Answer:

$0.14

Step-by-step explanation:

Mila would be saving $0.14 because the difference between the orange juice and bagel is 0.14. Even though she is spending more on orange juice, she is saving on the bagel. We would subtract 0.39-0.25= $0.14. Hope this helps!

Answer:

Length: 20 or 40 feet

Width: 40 or 20 feet

Step-by-step explanation:

Area = 800 = length*width = x*(60-x)= 60x - x^2

- x^2 + 60x - 800 = 0

x = 20

Or x = 40

So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)