Which of the following is the graph of f(x) = x2 − 5x + 4? WILL MARK BRAINLIEST

A graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5


B graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5


C graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4


D graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4

Nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the sierra Nevada mountains.

Early snowfall prevented the Central Pacific from starting construction on Tunnel No. 6, or the Summit Tunnel, in August 1865. It was built using a variety of engineering and construction methods and was located more than seven thousand feet above sea level.

When the workmen finally broke through, they discovered that they were only two inches off from the calculations that were used to locate its end points and central shaft. The length of the tunnel that was built through the Sierra Nevada mountains is therefore given as nearly 1,659 feet of granite was tunnelled through to make tunnel no. 6 through the Sierra Nevada mountains.

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Step-by-step explanation:

Raquel has gross pay of $732 and federal tax withholdings of $62. Determine Raquel’s net pay if she has the additional items withheld: Social Security tax that is 6. 2% of her gross pay Medicare tax that is 1. 45% of her gross pay state tax that is 21% of her federal tax a. $600. 99 b. $610. 54 c. $641. 83 d. $662. 99.

Raquel’s net pay if she has the additional items withheld is $600.99. which is option A

The additional withholdings are:

Social Security tax: $45.04

Medicare tax: $10.54

State tax: $13.02

The total withholdings are $62 + $45.04 + $10.54 + $13.02 = $130.6

Raquel's net pay is $732 - $130.6 = $600.99.

So the answer is (a).

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Given an ordered basis B for the vector space of skew-symmetric 3x3 matrices, identify a skew-symmetric matrix A with B-coordinates (-3 1 10). The ordered basis B is given as (J1, J2, J3), where Ji is a skew-symmetric 3x3 matrix. To find A, we must first describe A as a linear combination of the basis matrices Ji and then compute the coefficients using the B-coordinates provided.

Any skew-symmetric matrix A may be expressed as a linear combination of the basis matrices J1, J2, and J3 with coefficients determined by its B-coordinates. That is to say,

A = (-3)J1 + J2 + 10J3

Substituting the supplied matrices, we get

A = (-3) * ( 0 0 0 0 0 0 1 0 -1 0) + ( 0 0 -1 0 0 0 1 0 0 ) + 10 * ( 0 1 0 -1 0 0 0 0 0 ) ( 0 1 0 -1 0 0 0 0 0 )

A = ( 0 0 0 0 0 0 -3 0 13 ) ( 0 0 0 0 0 0 -3 0 13 )

As a result, the matrix A with B-coordinates (-3, 1, 10) is formed.

A = ( 0 0 0 0 0 0 -3 0 13 ) ( 0 0 0 0 0 0 -3 0 13 )

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The process of planning and controlling how much time to spend on specific activities.

Time management is the process of planning and controlling how much time to spend on specific activities in order to use your time productively and efficiently.

It involves setting goals, prioritizing tasks, creating schedules and to-do lists, and monitoring progress to ensure that time is used effectively.

Effective time management can help individuals to complete tasks and achieve their goals in a timely manner, reduce stress, and increase productivity.

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The answer is 23/40

To simplify this expression, we need to find a common denominator for each pair of fractions that are being added or subtracted.

 
The common denominator for 1/4 and 1/5 is 20, so we can rewrite 1/4 as 5/20 and 1/5 as 4/20. Then, we can subtract these fractions to get 1/20.

 
The common denominator for -3/4 and 1/8 is 8, so we can rewrite -3/4 as -6/8. Then, we can add these fractions to get -5/8.

 
Now, we can combine the two simplified fractions by finding a common denominator of 40. We can do this by multiplying 20 and 8, which gives us 160.

Then, we can rewrite 1/20 as 2/40 and -5/8 as -25/40. Adding these fractions together gives us:

2/40 - 25/40 = -23/40.

The absolute value of any number is always positive so it becomes 23/40.

The simplified version of (1/4 - 1/5) + (-3/4 + 1/8) is 23/40.

Answer: 35.

Step-by-step explanation: The parenthesis with no operation in between is multiplication. double negative makes a positive so its 7 times 5 which is 35.

Answer:

The Correct answer is -9 (B). I am positive, please award me brainiest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

-27 ÷ 3 =  - 9

Negative number divide by positive number  result in a negative number

Answer:

5 feet 4.4 inches tall

Step-by-step explanation:

The point that splits the segment AB into a ratio of 2:5 is (-6, 3).

To find the point that splits segment AB into a ratio of 2:5, we can use the concept of a weighted average.

The x-coordinate of the point is found by taking 2 parts of B's x-coordinate and 5 parts of A's x-coordinate and summing them, then dividing by the total parts (2+5=7).

Similarly, the y-coordinate is found by taking 2 parts of B's y-coordinate and 5 parts of A's y-coordinate, then dividing by the total parts.

For point A (-10, 1) and B (4, 8), the calculations would be as follows:

x-coordinate: (2 * 4 + 5 * -10) / 7 = (8 + -50) / 7 = -42 / 7 = -6

y-coordinate: (2 * 8 + 5 * 1) / 7 = (16 + 5) / 7 = 21 / 7 = 3

Among the given points, only (-6, 3) matches the calculated coordinates. Therefore, (-6, 3) is the point that splits segment AB into a ratio of 2:5.

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Answer:

Option 3

Step-by-step explanation:

The slope is \(\frac{-2-6}{5-1}=-2\).

The equation of the line through \((x_1, y_1)\) with slope \(m\) is \(y-y_1=m(x-x_1)\).

y-6=-2(x-1) is the equation is a point slope form equation for line AB

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

point A, with coordinates (1, 6), and point B, with coordinates (5, -2)

m=-2-6/5-1

m=-8/4

=-2

So slope is -2.

The point slope intercept of line is

y-y₁=m(x-x₁)

y-6=-2(x-1)

Hence y-6=-2(x-1) is the equation is a point slope form equation for line AB

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Raina received 7 phone calls on the first evening, 45 phone calls on the second evening, and 15 phone calls on the third evening.

Let's assume the number of phone calls Raina received on the third evening is x.

According to the given information:

The second evening, she received 3 times as many calls as the third evening, so the number of calls on the second evening is 3x.

The first evening, she received 8 fewer calls than the third evening, so the number of calls on the first evening is x - 8.

The total number of phone calls over the three evenings is 67, so we can write the equation:

x + 3x + (x - 8) = 67

Combining like terms:

5x - 8 = 67

Adding 8 to both sides:

5x = 75

Dividing both sides by 5:

x = 15

So, Raina received 15 phone calls on the third evening.

On the second evening, she received 3 times as many calls, which is 3 * 15 = 45 calls.

On the first evening, she received 8 fewer calls than the third evening, which is 15 - 8 = 7 calls.

Therefore, Raina received 7 phone calls on the first evening, 45 phone calls on the second evening, and 15 phone calls on the third evening.

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The observed sample mean of 91 ppb is higher than the adjusted null mean of 80 ppb. Based on this information, there is evidence to suggest that the mean level of arsenic in chicken from the supplier is greater than 80 ppb.

To analyze whether there is evidence that the mean level of arsenic is greater than 80 ppb, we can use a randomization distribution. The steps involved are as follows:

1. Calculate the sample mean of the adjusted data:

  x₁ = (57 + 64 + 70 + 82 + 84 + 123) / 6 = 80

2. Calculate the difference between each observation and the adjusted sample mean:

  D = (57 - 80, 64 - 80, 70 - 80, 82 - 80, 84 - 80, 123 - 80)

    = (-23, -16, -10, 2, 4, 43)

3. Create the randomization distribution by repeatedly shuffling the signs of the differences and adding them back to the adjusted sample mean. Generate a large number of permutations (e.g., 10,000) to approximate the distribution under the null hypothesis.

4. For each permutation, calculate the mean of the adjusted data and record it.

5. Count the number of permutation means that are greater than or equal to the observed sample mean (x₁ = 80) to determine the  p value. The p value represents the probability of observing a mean at least as extreme as the observed sample mean under the null hypothesis.

If the p value is small (typically below a predefined significance level, e.g., 0.05), we reject the null hypothesis in favor of the alternative hypothesis, suggesting evidence that the mean level of arsenic is greater than 80 .

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The complete question is:

A Randomization Distribution for Arsenic in Chicken A restaurant chain is measuring the levels of arsenic in chicken from its suppliers. The question is whether there is evidence that the mean level of arsenic is greater than 80ppb , so we are testing H1: u = 80 vs H : u > 80, where u represents the average level of arsenic in all chicken from a certain supplier. It takes money and time to test for arsenic so samples are often small. A sample of n = 6 chickens from one supplier is tested, and the resulting sample mean is x = 91. Subtracting 11 from the sample data to move the mean down to the null mean x1 = 80 results in the following data: 57, 64, 70, 82, 84, 123

This is a retrospective observational study.

A retrospective study looks back in time at events that have already happened and analyzes data that were collected in the past. In this case, the study looks at women who were diagnosed with breast cancer at one hospital in 1992 and tracks their survival rates over five years. No intervention or treatment is being imposed on the patients; the researchers are simply observing and analyzing data that have already been collected.

The study is also observational because the researchers are not manipulating any variables or treatments. They are simply observing and recording what happens to the patients based on factors such as race and cancer diagnosis.

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Answer:

925m

Step-by-step explanation:

The solution of the linear inequation -8 - 4x > 1 is x < \(-\frac{9}{4}\)

-10 satisfies the given linear inequation

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by >, <, ≥, ≤

A one degree inequation is known as linear inequation.

The given linear inequation is

-8 - 4x > 1

Now,

-8 - 4x > 1

-4x > 1 + 8

-4x > 9

x < \(-\frac{9}{4}\)

-10 satisfies the given linear inequation

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Answer:

390 I think

Step-by-step explanation:

The cities such that this path is \(C_{1}\) → \(C_{2}\) → \(C_{3}\) . . . → \(C_{n}\). Now, if all roads are going towards \(c_{n}+1\), then add  \(c_{n}+1\) at the end of this path. Otherwise, let \(C_{i}\) be the first city in this path such that there is a road from  \(C_{i}\)-1 to  \(c_{n}+1\) and from  \(c_{n}+1\) to  \(C_{i}\). Place  \(c_{n}+1\) between  \(C_{i}\)−1 and  \(C_{i}\) to get the desired path.

Mathematical Induction is a technique of proving a statement, theorem or formula which is thought to be true, for each and every natural number n. By generalizing this in form of a principle which we would use to prove any mathematical statement is 'Principle of Mathematical Induction'.

The question says that between any two cities X and Y, either there’s an

one-way road from X to Y or from Y to X, but not both. Then show that

there is a path from some city A which visits all the cities exactly once.

This problem is very similar to the Football league problem #7 in Homework 1. This problem can be modeled as a directed graph in which cities

are represented as vertices and there’s an edge from vertices X to Y if

there’s a road from cities X to Y. And then, our goal is to find a path

in this graph which visits every vertex in the graph.

The rest of the solution is very similar to the argument in Problem 7 of

homework 1. We use induction of number of cities, say n.

As a base case, if n = 2, there are only two cities X and Y and the path

is simply the edge between X and Y.

For induction hypothesis, assume that the statement is true for any set

of n cities. That is’ for any set of n cities, we can find a path which visits

all the cities exactly once.

Let’s prove the statement for n + 1 cities. Leave out n + 1 th city (say,

\(c_{n}+1\)) and for the remaining n cities, by induction hypothesis, we can find a path which visits all these n cities exactly once. Let us label the cities such that this path is \(C_{1}\) → \(C_{2}\) → \(C_{3}\) . . . → \(C_{n}\). Now, if all roads are going towards \(c_{n}+1\), then add  \(c_{n}+1\) at the end of this path. Otherwise, let \(C_{i}\) be the first city in this path such that there is a road from  \(C_{i}\)-1 to  \(c_{n}+1\) and from  \(c_{n}+1\) to  \(C_{i}\). Place  \(c_{n}+1\) between  \(C_{i}\)−1 and  \(C_{i}\) to get the desired path.

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Answer:

6u - 15/2 inches

Step-by-step explanation:

(2/3)rope = 4u - 5

multiply both sides by 3/2

rope = 6u - 15/2

The correct that refers Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called evidence.

The term numerical data refers the data which is in the form of numbers, and not in any language or descriptive form.

Here we have to find the suitable term for the statement "Facts, statistics, numerical data, quotations, specific examples, and expert opinions that support a claim are called".

While we have looking into the given statement, we have identified the following from it,

When we look into the meaning of each one we have identified that each of them are acted as the proof to prove the thing is liable.

So, all these things are collectively called as evidence.

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The larger sandbox is 120 ft² larger than the smaller sandbox.

The sandboxes are similar because they are of the same ratio.

The larger sandbox is 15 feet by 12 feet.

The smaller sandbox is 5 feet by 4 feet.

Therefore,

area of the larger sandbox = 15 × 12

area of the larger sandbox = 180 ft²

area of the smaller sandbox = 5 × 4

area of the larger sandbox = 20 ft²

Therefore, the larger sandbox is 120 ft² larger than the smaller sandbox.

The sandboxes are similar because they are of the same ratio.

15 / 12 = 5 / 4

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We would need to deposit approximately $1372.03 into an account with a 7.5% interest rate, compounded continuously, to have $2500 in the account 8 years later.

To calculate this, we can use the continuous compounding formula: \(A = Pe^(rt)\)

Data:

We know that we want to end up with $2500 after 8 years and that the interest rate is 7.5%.

We can plug in these values and solve for P:

2500 = P * e^(0.075*8)

Simplifying this equation, we get:

2500 = P * e^0.6

Dividing both sides by e^0.6, we get:

P = 2500 / e^0.6

P = 2500/1.82211880039

P = 1372.02909024

P ≈ $1372.03.

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To find the zeros of a polynomial, set the polynomial equal to zero and solve for the variable.

To find the zeros of a polynomial, follow these step-by-step instructions:

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Answer:

Y=2/47

Step-by-step explanation:

Y=2/5(10)-3

Y=2/47

Answer:

compare them

Step-by-step explanation:

first make the denominators the same, then compare the numerators

Yes, we can conclude that A = B. This is because the given conditions state that the union and intersection of A and C are equal to the union and intersection of B and C, respectively.

This implies that the elements in A and B are the same, as they share the same elements with C. Therefore, A and B are equivalent, and we can conclude that A = B. The given conditions also ensure that all the elements in A and B are contained within C, so they do not affect the equality of A and B. Overall, the given conditions provide enough information to conclude that A = B. Based on the given information, we cannot definitively conclude that A = B. Although the union and intersection of A and B with C are equal, this does not guarantee that A and B are identical sets. To prove A = B, we need to show that every element in A is also in B, and vice versa. Without additional information about the specific elements in sets A, B, and C, we cannot reach a conclusion about the equality of A and B. It's possible that they are equal, but the provided conditions are not sufficient to prove it.

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The correct answer is "a." Static positioning which is positive essentially the same as not using any CSS positioning at all.

The correct answer to your question is: a. Static positioning is essentially the positive same as not using any CSS positioning at all. Static positioning is the default positioning for HTML elements, and elements with static positioning remain in their normal flow on the page.

CSS aims to differentiate between content and presentation, including layout, colors, and fonts. This separation can improve the accessibility of content; provides more flexibility and control in terms of presentation features; Have multiple websites share the same style by specifying the relevant CSS in separate .css files. This reduces the complexity and overlap of the content and caching of css files to improve the page speed of the page displaying the data and its formatting.

Separation of text and content also allows the same page to be written in different formats on screen, print, voice (in voice-based browser or screen reader), and Braille Haptic-based devices. CSS also has resize rules if the content is being accessed from a mobile device.

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Answer:

Right angle triangle

Step-by-step explanation:

If any one angle of a triangle is 90, then it is a right angle triangle

The value of the expressions if x = 0 is 96

Given the expression

y = 42x + 12

If the domain of the function is x = 2, hence the range of the function is gotten by substituting x = 2 into the given function as shown:

y = 42x + 12

y = 42(2) + 12

y = 84 + 12

y = 96

Hence the value of the expressions if x = 0 is 96

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Answer:

c

Step-by-step explanation:

y + 4 = 3(x - 2)

Distribute the 3 on the right side.

y + 4 = 3x - 6

Subtract y from both sides.

4 = 3x - y - 6

Add 6 to both sides.

10 = 3x - y

Switch sides.

3x - y = 10

Answer: c