Evaluate j(-1) given j(x)=2x4-x³-35x²+16x+48.
Explain what your answer tells you about x + 1 as
a factor.
Algebraically find the remaining zeros of j(x).

HELP PLS

Answer:

The Man must pic 22 Apples.

Step-by-step explanation:

Find the attachments

The average rate of change of the function R(θ) = √(4θ + 1) over the interval [6, 12] is 1/3.

To find the average rate of change of the function R(theta) = squareroot 4 theta + 1 over the interval [6, 12], we need to calculate the change in R(theta) over the interval divided by the change in theta over the same interval.

First, let's find R(12) and R(6):
R(12) = squareroot(4*12 + 1) = squareroot(49) = 7
R(6) = squareroot(4*6 + 1) = squareroot(25) = 5

Next, we can calculate the change in R over the interval:
Change in R = R(12) - R(6) = 7 - 5 = 2

Finally, we can calculate the change in theta over the interval:
Change in theta = 12 - 6 = 6

Therefore, the average rate of change of the function R(theta) = squareroot 4 theta + 1 over the interval [6, 12] is:
delta R/he average rate of change of the function R(θ) = √(4θ + 1) over the interval [6, 12] is 1/3. delta theta = Change in R / Change in theta = 2/6 = 1/3.

So the answer is 1/3.

To find the average rate of change, we'll use the formula:

delta R / delta θ = (R(θ₂) - R(θ₁)) / (θ₂ - θ₁)

Here, θ₁ = 6 and θ₂ = 12. First, let's find R(θ₁) and R(θ₂):

R(6) = √(4 * 6 + 1) = √(24 + 1) = √25 = 5
R(12) = √(4 * 12 + 1) = √(48 + 1) = √49 = 7

Now we can plug these values into the formula:

delta R / delta θ = (R(12) - R(6)) / (12 - 6) = (7 - 5) / (12 - 6) = 2 / 6 = 1/3

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Answer:

A. 52.56 B. 51.34 C. 50.12 D. 49.34

Step-by-step explanation:

The values of x that are NOT in the domain of f are -9 and 9. These values make the denominator equal to 0, which means the function is not defined at these points.

The function f is defined as f(x) = x + 3/x² - 81. To find the values of x that are NOT in the domain of f, we need to determine when the denominator of the fraction, x² - 81, is equal to 0. This is because a function is not defined when the denominator is equal to 0.
To find the values of x that make the denominator equal to 0, we can set x² - 81 = 0 and solve for
x² - 81 = 0
(x + 9)(x - 9) = 0
x = -9, 9
So, the answer is x = -9, 9.

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Since each driver can cover at most one route, we will continuous this process until all 12 routes have been assigned to a driver. This will ensure that the school system pays the least amount possible for the 12 bus routes.

To minimize the school system's cost while assigning drivers to the bus routes, follow these steps:

1. Open the file P05_45.xlsx and arrange the data in a clear format, such as a table with drivers listed vertically and routes listed horizontally. Each cell should contain the amount a driver charges for a specific route.

2. Identify the lowest bid for each route. You can do this by going through each column (representing a route) and finding the minimum amount.

3. Assign the driver with the lowest bid to the corresponding route. Make sure to keep track of which drivers have already been assigned to avoid assigning them to multiple routes.

4. Continue this process for all 12 routes. Remember, each of the 16 drivers can only be assigned to one route.

5. Once all drivers have been assigned to the routes, add up the amounts for each assigned driver to find the total cost for the school system.

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For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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Answer:

Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0. Degree of numerator is greater than degree of denominator by one: no horizontal asymptote; slant asymptote. Degree of numerator is equal to degree of denominator: horizontal asymptote at ratio of leading coefficients.

Step-by-step explanation: Correct me if i'm wrong lol.

The exponent property that supports this technique is given as follows:

a^(m/n) = nth root of a^m.

The expression that is equals to 4^(5/2) is given as follows:

A. square root of 4^5.

The exponential expression for this problem is defined as follows:

4^(5/2).

The fraction in the exponent means that:

Then the equivalent expression to 4^(5/2) is given as follows:

square root of 4^5.

Because:

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The average rate of change for d(t) = 40| t - 1.25| in interval 0.5 ≤ x ≤ 1.0 is -40.

Rate is a measurement to determine the change in one quantity with respect to another quantity.

The given function is,

d(t) = 40| t - 1.25|

And the given interval, is 0.5 ≤ x ≤ 1.0

To find the average rate of change for given function,

Use formula

Average rate of change = f(b) - f(a) / b - a

In the given question a = 0.5 and b= 1.0

d(0.5) = 40 | 0.5 - 1.25| = 40 |-0.75| = 40(1.20) = 30

d(1.0) = 40 |1 - 1.25| = 40 |-0.25| = 40(0.25) = 10

The average rate of change = 10 - 30 / 1 - 0.5 = -20 / 0.5 = -40

The average rate of change of the given function is -40.

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Answer:

Hi there! I'm dapianoplayer and I am a member of the Engagement Team here at Brainly! I want to congratulate you for posting your first answer and thank you for joining our community! If you have any questions about Brainly or need assistance with anything on the site, please feel free to reach out to me! Welcome to our community and we are so glad that you are here!

Step-by-step explanation:

The Three V's of Big Data are Volume, Velocity, and Variety. While "Volume" is an important characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. So option (4) is correct.

There are many other characteristics of big data that have been proposed, but the Three V's are the most widely recognized and used

The "Three V's of Big Data" is a well-known concept that refers to the defining characteristics of big data. These three V's are Volume, Velocity, and Variety. They describe the main challenges that organizations face when dealing with big data, and how they can be overcome.

A common misconception is that there are only three V's of big data, but in reality, there are more than three. Some additional V's that have been proposed include Veracity, Value, Variability, and others.

However, there is one common concept that is often mentioned in discussions of big data, but is not considered one of the V's. This concept is "Volume." While "Volume" is certainly a key characteristic of big data, it is not considered one of the Three V's because it is not unique to big data. All types of data, whether big or small, can be large in volume.

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Complete Question:

which is not one of the three v's of big data?

Based on the given informations, the change in y as t changes from 1 to 6 is approximately 3.870. Therefore the correct option is (A).

To find the change in y as t changes from 1 to 6, we need to integrate the given function with respect to t over the interval [1, 6] and then find the difference between the values of the integral at the two endpoints.

∫₁⁶ 6e\(.^{(-0.08(t-5)^2)}\)  dt

We can use the substitution u = t - 5 to simplify the integral:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\)  du

Unfortunately, there is no closed-form solution for this integral. We can use numerical integration methods, such as Simpson's rule or the trapezoidal rule, to approximate the integral. Using Simpson's rule with a step size of 1, we get:

∫₋₄¹ 6e\(.^{(-0.08u^2)}\) du ≈ 3.870

Therefore, the change in y as t changes from 1 to 6 is approximately 3.870, which corresponds to option (A).

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Answer:

c

Step-by-step explanation:

The given information provides key points to sketch the graph of a function. The points (-6,0), (0,-12), (16,0), and (100,-6) are defined, while the points (-6,0) and (6) are not defined. The function is continuous on the interval (-2,0).

To sketch the graph using the given information, we can start by plotting the defined points.

The point (-6,0) indicates that the function has a value of 0 when x = -6. However, since the x-coordinate (6) is not defined, we cannot plot a point at x = 6.

The point (0,-12) shows that the function has a value of -12 when x = 0.

The point (16,0) indicates that the function has a value of 0 when x = 16.

Lastly, the point (100,-6) shows that the function has a value of -6 when x = 100.

Since the function is continuous on the interval (-2,0), we can assume that the graph connects smoothly between these points within that interval. However, the behavior of the function outside the given interval is unknown, as the points (-6,0) and (6) are not defined. Therefore, we cannot accurately sketch the graph beyond the given information.

In conclusion, based on the given points and the fact that the function is continuous on the interval (-2,0), we can sketch the graph connecting the defined points (-6,0), (0,-12), (16,0), and (100,-6). The behavior of the function outside this interval remains unknown.

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The statement "If x = -10, then x² = 100" is false. When we square -10, we get 100, so the correct statement would be "If x = -10, then x² = 100."

The statement that is NOT true is:

If x = -10, then x² = 100.

The other three statements are all true:

If x² = 100, then x = 10.This is true because the square root of 100 is ±10, and when we take the square root, we consider the positive square root, which is 10.

If x = 10, then x² = 100. This is also true because when we square 10, we get 100.The statement x² = 100 if and only if x = 10 or x = -10 is true.

This statement is based on the fact that the square root of 100 is ±10, so when we square either 10 or -10, we get 100.

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Answer:

,,,

Step-by-step explanation:

Answer:

Scientifically proven that there is a 60% chance you will get an odd number and a 40% chance you will get an even number.

I hope this helps!!

Answer:

5a²+22a+8

Step-by-step explanation:

(5a×a)+(5a×4)+(2×a)+(2×4)

=5a²+20a+2a+8

=5a²+22a+8

I agree with the other persons answer.

Work Shown:

160% of $65 = 1.60*65 = 104

The measure of the missing side length of the right triangle is approximately 32.1.

The figure in the image is a right triangle.

From the image:

Angle θ = 0.646 rad

Opposite to angle θ = 19.3

Hypotenuse =?

To solve for the missing side length, we use the trigonometric ratio.

Note that: sine = opposite / hypotensue

Plug the given values into the above formula and solve for the hypotenuse.

sin( θ ) = opposite / hypotenuse

sin( 0.646 rad  ) = 19.3 / hypotenuse

Hypotenuse = 19.3 / sin( 0.646 rad  )

Hypotenuse = 32.1

Therefore, the hypotenuse measures 32.1 units.

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Step-by-step explanation:

but 3^2 is 9

5^3 is 125

so the answer for this question 3^2 x 5^3 is 1,125

Answer:

A

Step-by-step explanation:

\( \sqrt[3]{54x} + 3 \sqrt[3]{2x} = \\ = \sqrt[3]{2x \times 27} + 3 \times \sqrt[3]{2x} \\ = 3 \sqrt[3]{2x} + 3 \sqrt[3]{2x} = 6 \sqrt[3]{2x} \)

Answer:

Step-by-step explanation:

This indicates that a student's projected test score would be 100 if they did not view any videos while studying (x = 0).

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope is the ratio of rise over run.

This indicates that a student's projected test score would be 100 if they did not view any videos while studying (x=0). However, the anticipated exam score declines by 2 points for each extra hour that kids watch videos as the number of hours they watch rises.

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Answer:

just interest = 251,550. Plus loan = 446,550

Step-by-step explanation:

195,000 x 0.043(interest as a decimal) = 8385 per year.

8385 x 30(years) = 251,550

The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.

Compound interest is applicable when there will be a change in principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that

the principle amount of $195000

The rate of interest is 4.3%

Time period 30 years.

By compound interest formula

A = P × \((1 + 0.00r)^{n}\)

where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.

A = $195000\((1 + 0.043)^{30}\)

A = $689546.985

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Answer:

(672-640)/640 x 100 = 5%

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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Answer:

11 and 9

Step-by-step explanation:

X+Y=20

X*Y=99

Y=20-X

X*(20-X)=99

20X-X^2=99

20X-X^2–99=0

-(X - 11) (X - 9) = 0

Two solutions

X-11=0, X=11

X-9=0, X=9

Y=20-X, so if X is 9, Y is 11

Y=20-X, so if X is 11, Y is 9

The two numbers are 11 and 9

Based on the typical pricing trend for used vans being 90% of the price of a new van, a used van would be priced at approximately $36,000.

To find the price of a used van, we can calculate 90% of the price of a new van.

90% of $40,000 can be calculated by multiplying $40,000 by 0.9:

$40,000 * 0.9 = $36,000

Jason is in the process of looking for vans, considering both new and used options. He has come across a new van priced at $40,000. In general, the price of a used van tends to be around 90% of the price of a new van.

In this case, since the new van is priced at $40,000, we can calculate the price of a used van by multiplying $40,000 by 0.9, which represents 90%:

$40,000 * 0.9 = $36,000.

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Answer: The answer is (x+2)(x-4)(x-4)
Or as a short form you can write it as \((x+2) (x-4)^{2}\)

Step-by-step explanation:

Answer is very lengthy but I am 100% sure that's the correct answer

Answer:

(x³ - 6x² + 32) = (x - 4)²(x + 2)

Step-by-step explanation:

(x³ - 6x² + 32)/(x - 4) =

           x² - 2x - 8

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

x - 4    |  x³ - 6x² + 0x + 32

             x³ - 4x²

            ----------

                  -2x² + 0x

                  -2x² + 8x

                 ----------------

                            -8x + 32

                            -8x + 32

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

                                       0

(x³ - 6x² + 32) = (x - 4)(x² - 2x - 8) = (x - 4)(x - 4)(x + 2) =

= (x - 4)²(x + 2)