What form is this quadratic equation? y = 2 (x -4) (x + 7)Standard FormVertex FormIntercept FormSlope - Intercept FormPoint - Slope Form

Answer:

The actual value is -181/20. Estimate could be -200/20

Step-by-step explanation:

Answer: 13/3 cups of sugar

Step-by-step explanation:

5-2/3=

5*3/3-2/3=

15/3-2/3=13/3 cups of sugar

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer:

\(f^{\prime\prime\prime}(x) = 132\).

Step-by-step explanation:

Start by expanding the expression of \(f(x)\).

\(\begin{aligned} f(x) &= (2\, x^2 + 5) \, (11\, x+ 14) \\ &= 2\, x^2\, (11\, x + 14) + 5\, (11\, x + 14)\\&= \left(22\, x^3 + 28\, x^2\right) + \left(55\, x + 70\right) = 22\, x^3 + 28\, x^2 + 55\, x + 70\end{aligned}\).

The question is asking for the third derivative of that expression:

\(\begin{aligned} \frac{d^3}{{d x}^3}\left[22\, x^3 + 28\, x^2 + 55\, x + 70\right]\end{aligned}\).

That's equivalent to finding:

\(\begin{aligned} \frac{d^3}{{d x}^3}\left[22\, x^3\right] + \frac{d^3}{{d x}^3} \left[28\, x^2\right] + \frac{d^3}{{d x}^3} \left[55\, x\right] + \frac{d^3}{{d x}^3} \left[70\right]\end{aligned}\).

Move the constants outside of the derivative operator:

\(\begin{aligned} 22\, \left(\frac{d^3}{{d x}^3}\left[x^3\right]\right) + 28\, \left(\frac{d^3}{{d x}^3} \left[x^2\right]\right) + 55\, \left(\frac{d^3}{{d x}^3} \left[x\right]\right) + \frac{d^3}{{d x}^3} \left[70\right]\end{aligned}\).

Let \(n\) denote an integer. By the power rule:

\(\displaystyle \frac{d}{d x} \left[ x^{n}\right] = n\, x^{n-1}\).

Apply these two rules repeatedly to find \(\displaystyle \frac{d^3}{d x^3}\, \left[ x^3 \right]\), \(\displaystyle \frac{d^3}{d x^3}\, \left[ x^2 \right]\), and \(\displaystyle \frac{d^3}{d x^3}\, \left[ x \right]\).

\(\displaystyle \frac{d^3}{{d x}^3}\, \left[ x^3 \right] = \frac{d^2}{{d x}^2} \left[3\, x^2\right] = \frac{d}{{d x}} \left[6\, x\right] = 6\).

\(\displaystyle \frac{d^3}{{d x}^3}\, \left[ x^2 \right] = \frac{d^2}{{d x}^2} \left[2\, x\right] = \frac{d}{{d x}} \left[ 1 \right] = 0\) (the first derivative of a constant is zero.)

\(\displaystyle \frac{d^3}{{d x}^3}\, \left[ x \right] = \frac{d^2}{{d x}^2} \left[1\right] = \frac{d}{{d x}} \left[0 \right] = 0\).

Similarly, \(\displaystyle \frac{d^3}{{d x}^3} \left[70\right] = 0\).

Substitute these back to the expression of \(f^{\prime\prime\prime}(x)\).

\(\begin{aligned} f^{\prime\prime\prime} &= 22\, \underbrace{\left(\frac{d^3}{{d x}^3}\left[x^3\right]\right)}_{6} + \underbrace{28\, \left(\frac{d^3}{{d x}^3} \left[x^2\right]\right)}_0 + \underbrace{55\, \left(\frac{d^3}{{d x}^3} \left[x\right]\right)}_0 + \underbrace{\frac{d^3}{{d x}^3} \left[70\right]}_0 \\ &= 22 \times 6 \\ &= 132\end{aligned}\).

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The formula for determining the strength of a negative association between two variables is Pearson's Correlation coefficient (r).

This coefficient measures the degree of linear relationship between two variables and ranges from -1 to +1. If two variables have a negative association, the correlation coefficient will be negative.

For example, let's say we are looking at the relationship between daily consumption of donuts (dd) and daily temperature (tt). To calculate the Pearson's Correlation coefficient, we would first calculate the covariance of the two variables using the following formula:

Cov(dd,tt) =  (∑ (dd - dd_mean) * (tt - tt_mean)) / n

Next, we would calculate the standard deviation of both variables using the following formula:

Stdev_dd = √(∑ (dd - dd_mean)^2/n)

Stdev_tt = √(∑ (tt - tt_mean)^2/n)

Finally, we would calculate the Pearson's Correlation coefficient using the following formula:

r = Cov(dd,tt) / (Stdev_dd * Stdev_tt)

If r is close to -1, then this indicates a strong negative association between dd and tt.

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Answer:

the answer is 9

Step-by-step explanation:

if you divide it together you will get 9

Answer:

Step-by-step explanation:

For part a:

Mean: Use the AVERAGE function to find the mean of the "Number" column.

Median: Use the MEDIAN function to find the median of the "Number" column.

Mode: There is no built-in function to find the mode in Excel, but you can use a combination of the IF, COUNTIF, and MAX functions to find the most frequently occurring value.

Maximum: Use the MAX function to find the maximum value in the "Number" column.

Minimum: Use the MIN function to find the minimum value in the "Number" column.

For part b:

Mean: Use the AVERAGE function to find the mean of the "Percent" column.

Median: Use the MEDIAN function to find the median of the "Percent" column.

Mode: There is no built-in function to find the mode in Excel, but you can use a combination of the IF, COUNTIF, and MAX functions to find the most frequently occurring value.

Maximum: Use the MAX function to find the maximum value in the "Percent" column.

Minimum: Use the MIN function to find the minimum value in the "Percent" column.

For part c:

The statistics on children whose parents do not have secure employment provide important insights into the state of the economy. In this case, the mean and median of the number of children in each state seem to be around 450,000. The mode cannot be determined since there are no repeated values in the "Number" column. The maximum number of children is 678,000 in Ohio, while the minimum number is 141,000 in Iowa.

Comparing the states, Indiana has a slightly higher mean and median percent of children whose parents do not have secure employment at 27%, compared to the other surrounding states which range from 20% to 31%. However, there is no clear state with the best or worst data as the range of the percent values is not too wide.

In terms of comparison, the number of children may provide a more comprehensive understanding of the extent of the problem, as it gives a clearer picture of the actual number of children affected. However, the percentage provides a more relative comparison between the states, allowing for easier comparison and a clearer understanding of the proportion of children affected in each state.

The solution of the linear equation  is determined as x = -4.

The solution of the linear equation is calculated by applying the following method as follows;

The given linear equation;

2/x+3 - 1/x = -4/x² +3x

We can start by simplifying the equation and getting rid of the fractions.

Multiplying every term by x will help us achieve that:

2 + 3x - 1 = -4/x + 3x²

Simplifying further:

2 + 3x - 1 = (-4 + 3x²) / x

Combining like terms:

3x + 1 = (-4 + 3x²) / x

(x)(3x + 1) = -4 + 3x²

3x² + x = -4 + 3x²

We can subtract 3x² from both sides:

x = -4

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The assumption in answering the question is that no student scored 0

From the question, we have the following parameters that can be used in our computation:

The bar chart

On the bar chart, we hae

Students that score more than 8 = 5

Students in the class = 33

The (b) is calculated by considering all students that score more than 0 from the histogram

This means that the assumption is that no student scored 0

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According to the information we can infer that the parallel line would be AD or CF. Additionally, the perpendicular lines would be CB or FE.

To identify the parallel lines we must look at the figure and find the lines that have the same direction as the line BE and that would never intersect with the segment BE, according to the above, we can infer that the parallel lines would be:

On the other hand, the lines perpendicular to CF would be CB or FE because they make 90° angles with segment CF. Additionally, the face that would be parallel to ABC is DEF.

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Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

Answer:

120 Minutes

Step-by-step explanation:

24 minutes / 2 miles = 12 minutes / 1 mile

12 minutes / 1 miles = x minutes / 10 miles

Cross multiply

12*10/1 = x

120 / 1 = x

x = 120

Hope that helps!

Our vertex has an x-coordinate of 0, so the axis of symmetry for our function is x = 0. Now, let's consider the zeros of our function. Graphically, the zeros of a function are the x-coordinates of the points where the function crosses the x-axis. This occurs where y = 0.

Answer:

y=408

Step-by-step explanation:

y is directly proportional to x

y=kx (where k is the constant)

102=6k

102÷6=k

17=k

y=17x

find y when x=24

y=17(24)

y=408

Answer:

3. 33.33, 4. 43, 5. 31

Step-by-step explanation:

3. 60+40=100/3= 33.33

4. 85+1/2=86/2= 43

5. 100+86=186/6= 31

Answer:

6

Step-by-step explanation:

6/1=6

As per the concept of addition, the equations that make a 10 to add is explained below.

Equation:

Equation consists of number, variable and constant and it is also known as expression

Given,

Here we need to find the equations can you make a 10 to add.

In order to find the resulting equation, we have to use the following step with examples,

First, we have to read the equation.

For example 5 + 7

Next step is to write the larger number.

Large number = 7

Now, we have to draw dots to match the smaller number.

=> ..... + 7

Then Circle the number and dots to make 10.

=> 10 + ...

Then write a new equation using 10 and the leftover dots.

=> 10 +  3

Then Solve the new equation

=> 13

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Answer:

huuujjjjjjjjjjjjjiiikkkk

Point H is the ortho-center of our given triangle and option c is the correct choice.

We have been given an image of a triangle. We are asked to find the term that describes point H.

We can see that point H is the point, where, all the altitudes of our given triangle EFF are intersecting.

We know that ortho-center of a triangle is the point, where all altitudes of triangle intersect. Therefore, point H is the ortho-center of our given triangle and option c is the correct choice.

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The value of x is 4.

To determine the value of x, we can use the concept of similarity between shapes.

Similar shapes have corresponding sides that are proportional to each other.

Given the dimensions of the first shape as 5, x, and 5, and the dimensions of the second shape as 30, 24, and 30, we can set up the following proportion:

5/x = 30/24

To solve for x, we can cross-multiply:

30 · x = 5 · 24

30x = 120

Dividing both sides of the equation by 30:

x = 120 / 30

x = 4

Therefore, the value of x is 4.

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Answer:

A dynamic environment is a business environment that is rapidly changing. In a dynamic market, businesses have to adapt quickly to changes and develop new ideas, products and services to keep up with technology and new trends.

Step-by-step explanation:

Answer:

$229.73

Step-by-step explanation:

5 Pair of jeans = 127.63

divide by 5 to get 1 pair of jeans.

1 pair of jeans = 25. 526 rounded 25.53

times 9 to get to 9 pair of jeans.

9 pair of jeans = 229. 734 rounded 229.73

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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The mean absolute deviation of the data is given as follows:

2.52.

The mean of the data-set is given as follows:

(6 + 8 + 8 + 12 + 16 + 13 + 11 + 15)/8 = 11.125.

Hence the deviations are given as follows:

Hence the mean of these deviations is given as follows:

MAD = (2 x 5.125 + 3.125 + 0.875 + 1.875 + 0.125 + 3.875)/8

MAD = 2.52.

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Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.

An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.

In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.

Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.

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The instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

The derivative of f(x) = 2x - 5 with respect to x can be found by applying the power rule of differentiation, which states that the derivative of x^n is n*x^(n-1).

Taking the derivative of f(x) = 2x - 5:

f'(x) = 2 * (d/dx)(x) - (d/dx)(5)

= 2 * 1 - 0

= 2.

The derivative of f(x) with respect to x is a constant, 2, indicating that the function has a constant slope.

Therefore, the instantaneous rate of change at x = 2 is equal to the derivative, which is 2.

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Answer:

A. The causal connection is valid. Students who spend more time and effort studying will be able to memorize more​ information, so their test grades will be higher.

Step-by-step Explanation:

The causal connection between the test grades of students and the amount of time and effort spent the students spend in studying and preparing for the test appears to be valid. This is valid because students who spend more time and effort studying would most likely be able to memorize more information of which they are most likely to come by in the test they take. Invariably, they'd be able to easily recall what they've memorize and give the right answers to the questions they are asked in the test, and this definitely will earn them higher test grades.

Answer:

x = \(\frac{172-2y}{6}\)

Step-by-step explanation:

6x + 2y + 8 = 180 ( subtract 8 from both sides )

6x + 2y = 172 ( subtract 2y from both sides )

6x = 172 - 2y ( divide both sides by 6 )

x = \(\frac{172-2y}{6}\)