Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8

Answer:

C or A

Step-by-step explanation:

Answer:

I would go with A

Step-by-step explanation:

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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According to the model, around 521 people will be infected in three days.

A unitary method is a mathematical technique where we use ratios and proportions to find the value of an unknown quantity.

Let's start by breaking down the problem. We know that there are currently 392 people infected and the virus is spreading at a rate of 11% each day. This means that for every 100 people, 11 people are getting infected. To calculate how many people will be infected in three days, we need to use a unitary method.

To do this, we need to calculate the total increase in the number of infected people over three days. Since the virus is spreading at a rate of 11% each day, the total increase over three days will be 33% (11% x 3). We can then use this percentage increase to calculate the total number of people infected in three days.

To find the total number of people infected in three days, we can use the following formula:

Total infected = current infected + (current infected x percentage increase)

Plugging in the values from the problem, we get:

Total infected = 392 + (392 x 0.33)

Total infected = 392 + 129.36

Total infected ≈ 521

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Answer:

\(x^3+\frac{-x^2-x}{4}+x+x^2-5\)

Step-by-step explanation:

\((x^3-(\frac{x}{2})^2 +x) + (x^2-\frac{x}{4} -5)\)

The addition sign between the sets of parentheses means to add the two equations together by combining like terms

There is only one term raised to the 3rd power so that remains the same.

Next you have -1/2x ^2 + x ^2 = 1/2x ^2

Then x + -x/4 = 3/4x

And -5 is the only term with no variable so that remains the same.

Now combine into one line:

X ^3 +1/2x^2 + 3/4x -5

Answer:

57.78 km/hr

Step-by-step explanation:

Total time taken, t = 6 hours

Total distance covered, d = 520 km

Distance by car = 260

Distance by train = 520 - 260 = 260 km

Train speed = x

Car speed = 2x

Average speed speed = 3x /2

Speed = distance / time

1.5x = 520 / 6

9x = 520

x = 520 / 9

x = 57.777

Average speed of train = 57.78 km/hr

Answer:

57.78

Step-by-step explanation:

Madison is approximately 8.825 feet from the base of the platform.

To find the distance Madison is from the base of the platform, we can use trigonometry and specifically the tangent function.

Let's denote the distance Madison is from the base of the platform as x.

In the given scenario, the acrobat's height of 4.5 feet acts as the opposite side of the right triangle, and the distance from the acrobat to Madison (x) acts as the adjacent side. The angle of elevation to the top of the acrobat is 27°.

We can use the tangent function, which is defined as the ratio of the opposite side to the adjacent side in a right triangle:

tan(angle) = opposite/adjacent

tan(27°) = 4.5/x

To solve for x, we can rearrange the equation:

x = 4.5 / tan(27°)

Using a calculator, we can find the value of the tangent of 27°, which is approximately 0.5095.

x = 4.5 / 0.5095

x ≈ 8.825 feet

Therefore, Madison is approximately 8.825 feet from the base of the platform.

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Answer:

f(1) = - 5, f(5) = 6

Step-by-step explanation:

(a)

f(1) with x = 1 is in the interval x ≤ 1 , thus

f(1) = - 5

(b)

f(5) with x = 5 is in the interval x > 1 , thus f(x) = 2x - 4 , so

f(5) = 2(5) - 4 = 10 - 4 = 6

For the given triangle the value of x will be 100.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. The theorem can be used to determine how steep mountains or slopes are.

Given a right triangle shown in the picture attached below.

Where ∠DBC can be calculated using trigonometry

Since,

tan θ = height/ base

In triangle DBC, height = 64 and base = 48

tan θ  = 64/48

tan θ = 4/3

∠DBC = θ = 53.13°

Since,

∠DBC + ∠ABD = 90(right angle)

53.13 +  ∠ABD = 90

∠ABD = 36.869°

Using tangent to calculate the height of the triangle ABD

tan ∠ABD = (x-64)/48

3/4 =  (x-64)/48

36 = x -64

x = 100

Therefore, the value of x is 100.

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Answer:

x=8

Step-by-step explanation:

Answer:

Wendy will think cookie club chocolate cookies are not chocolatey enough

Step-by-step explanation:

Wendy thinks the perfect chocolate chip cookie has 35 chocolate chips for every 5 ounces of dough. Cookie Club makes batches of chocolate chips cookies with 100 chocolate chips and 15 ounces of dough. What will Wendy think about Cookie Club's cookies?

Perfect chocolate chip cookie=35 chocolate chips for every 5 ounces of dough

Wendy's perfect chocolate chip cookies = 35 chocolate chips for every 5 ounces of dough

= 35 : 5

=7:1

Cookie club chocolate chips cookies=100 chocolate chips for every 15 ounces of dough

=100 : 15

=20 : 3

Cookie club chocolate cookies have 3 times the amount of dough

Therefore,

Wendy will think cookie club chocolate cookies are not chocolatey enough

Answer:

Not choclatey enough

Step-by-step explanation:

Answer:

x= -1,-7                

Step by step:

Answer:

x = -7 and -1

Step-by-step explanation:

Move the right side of the equation over to the left;

x^2+8x+7 = 0; Factor

(x+7)(x+1)=0 ; Solve for x;

x = -7 and -1

Answer:

33/4 is the answer

Step-by-step explanation:

convert mixed fractions to proper fraction:

3 1/4 = (3)(4) + 1 = 13/ 4

perimeter - means add all sides (length+ length + width + width)

7/8 + 7/8 + 13/4 +13/4 = 33/4

7/8+3 1/4+7/8+2 1/4= 33/4. simplified is 8 r1.

Hope this helps,Brainliest would be great

~Learning with Natalia~

Answer: She jump ropes 7/3 or 2 1/3 of an hour every week

Step-by-step explanation: This is because she jump ropes 1/3 each day and there's 7 days in a week so 7/3 or 2 1/3(2 hours and 20 minutes)

I hope you are having a nice day!

Answer:

2 hours 33 minutes

Step-by-step explanation:

1/3 of an hour is 20 minutes

20 times 7 is 140

140 divided by 60 is 2.33 hours

so 2 hours and 33 minutes

Answer:

Step-by-step explanation:

Yes, since this 100 adults demonstrate just under 5% of the adult American population, the trials are considered independent.

We have n=100 and p=0.15 here.

np=100*0.15=15 ≥ 10,

nq=100*(1-0.15))=85 ≥ 10

The normality assumption can be used to approximate the binomial distribution.

Option A) is the correct answer.

The probability of seeing a specific value of such a continuous probability distribution is 0 percent.

Determine the prerequisites since a distinct distribution of probabilities.

The probability sum must equal one. So every probability should be between 0 and 1.

Describe how to determine the median of a separate random variable. To calculate the men of such a stochastic process, divide the total each value by it's own probability and afterwards add the results.

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The first class, which did not study for the final, is the control group.

The control group serves as a baseline for comparison with the other groups in an experiment. By comparing the outcome of the experimental group(s) with the outcome of the control group, the experimenter can determine if the treatment had an effect.

In this case, the professor can compare the grades of the first class (which did not study) with the grades of the second and third classes (which studied for 5 hours and 10 hours respectively) to see if the amount of time spent studying had an impact on the students' grades.

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Answer:

Hope this helps

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

Conditional probability formula: A|B (A given B)= (A∩B)/B

So cold drink | large (cold drink given large)=  (Cold∩Large)/Large

cold∩large= 5

large= 22+5= 27

5/27=.185185185

which i guess rounds to 19%

The solution for u in the expression given as 7/u = 3/11 is u = 25.7

From the question, the algebraic expression is given as

7/u = 3/11

There is no constant to add to or subtract from the expression

So, the equation remains the same

7/u = 3/11

Multiply both sides of the equation by u

This gives

u * 7/u = 3/11  * u

Evaluate the products

So, we have the following equation

7 = 3/11u

Multiply both sides of the equation by 11/3

This gives

11/3 * 7 = 3/11u * 11/3

Evaluate the products in the above expression

77/3 = u

So, we have

25.6667 = u

Approximate

25.7 = u

Rewrite as

u = 25.7

Hence, the solution is u = 25.7

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Answer:

x = 20

Step-by-step explanation:

For the lines to be parallel, then (3x + 20) and (3x) are alternate angles and congruent, thus

3x = 2x + 20 ( subtract 2x from both sides )

x = 20

Answer:

x+6

Hope this helps! :)

Answer:

The sum of a # and 6 is...

Step-by-step explanation:

It’s at 15??

Answer:

The speed of cars on the freeway is normally distributed with a mean of 73mph and a standard deviation of 6mph. We need to find the probability that a randomly selected car is traveling more than 75mph and between 74 and 80mph.

We know that X, the speed of a randomly selected car, is normally distributed with a mean of μ = 73mph and a standard deviation of σ = 6mph. Therefore, X ~ N(73, 6).

a) The probability that a randomly selected car is traveling more than 75mph is P(X > 75) = P(Z > (75-73)/6) = P(Z > 0.33) ≈ 0.3707, where Z is the standard normal distribution.

b) The probability that a randomly selected car is traveling between 74 and 80mph is P(74 < X < 80) = P((74-73)/6 < Z < (80-73)/6) = P(0.1667 < Z < 1.1667) = P(Z < 1.1667) - P(Z < 0.1667) ≈ 0.3236.

Therefore, the probability that a randomly selected car is traveling more than 75mph is approximately 0.3707, and the probability that it is traveling between 74 and 80mph is approximately 0.3236.

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The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity is equal to the number of total observations (N) minus the number of groups (k). So, it can be represented as (N - k).

The denominator degrees of freedom of the F statistic for testing the null hypothesis of homoskedasticity depend on the sample size and the number of groups being compared.

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Answer:

Below,...!

Step-by-step explanation:

\(8^2 = 64\\64*(2+6) = 64*8\\64*8 = 512\\512/4 = 128\\\\Answer=128\)

Chow,...!

Answer:

First option is the correct choice.

Step-by-step explanation:

A. The graph of h is the graph of g horizontally shifted right 3 units.

Best Regards!

Graph of a function is plotting of its input and corresponding output. The graph of the considered cubic function is attached below.

Suppose the considered function whose graph is to be made is \(f(x)\)

The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values \(f(x)\)

are plotted on the vertical axis.

They are together plotted on the point

\((x,y) = (x, f(x))\)

This is why we usually write the functions as:

\(y = f(x)\)

For the considered function \(f(x) = x^3 +x^2 +x + 1\) is attached below.

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Answer:

Number of ice cream cones = 65

Number of sundaes = 49

Step-by-step explanation:

Let

x = number of ice cream cones

y = number of sundaes

x + y = 114 (1)

2x + 3.5y = 301.50 (2)

From (1)

x = 114 - y

Substitute into (2)

2x + 3.5y = 301.50 (2)

2(114 - y) + 3.5y = 301.50

228 - 2y + 3.5y = 301.50

- 2y + 3.5y = 301.50 - 228

1.5y = 73.50

y = 73.50/1.5

y = 49

Substitute y = 49 into (1)

x + y = 114 (1)

x + 49 = 114

x = 114 - 49

x = 65

Number of ice cream cones = 65

Number of sundaes = 49

Step-by-step explanation:

-13x < 65

-13x * -1 < 65 * -1

13x > -65

13x/13 > -65/13

x > -5

Hope this helps! :)

Answer:

b = 11.31

a = 12

Step-by-step explanation:

a.

64 + 64 = c^2

c^2 = 128

c = 11.31

answer b = 11.31

b.

soh cah toa

cos = adj/hyp

cos 60 = 6/hyp

hyp = 6/cos 60

hyp = 6/.50

hyp = 12

The horizontal distance from the tower to the fire is 7 feet

The term "angle of depression" describes the angle created by a horizontal line and the line of sight from the observer's eye to a location below their horizontal line of sight. It is often calculated by descending from the horizontal line.

The angle of depression is a term that is frequently used in discussions of observations or measurements involving objects that are below the observer's location in geometry and trigonometry.

We know that;

Tan 3 = x/140

x = 140 Tan 3

x = 7 feet

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