Let f(x) = x3 + 3x2 -9x + 14

a. On what interval is f increasing (include the endpoints in the interval)?
b. On what interval is f concave downward (include the endpoints in the interval)?

The decimal division of 18.92 by 11 gives us; 1.72

When dividing decimals  we first of all have to convert the divisor to a whole number by moving the decimal point to the right. Thereafter, we now carry the dividend's decimal point up to the exact same number of places to the right and then divide the resultant numbers in the normal way like in regular long division.

We want to divide 18.92 by 11. Thus, let us apply that rule described above to get;

18.92/11 = 1892/1100

= 1 + (1892 - 1100)/1100

= 1 + (792/1100)

= 1 + 0.72

= 1.72

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Answer:

the first one

Have a safe and happy new years

The function f(x) = -3 |x+2| represent the graph A. The correct option is A.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The function f(x) = -3 |x+2| is an absolute function. On plotting the graph of the function we will get the graph at (-2,0) coordinate and cut the y axis at ( 0,-6 ) coordinate. The graph is attached with the answer below.

Therefore, the function f(x) = -3 |x+2| represent the graph A. The correct option is A.

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Answer:

1/9

Step-by-step explanation:

\( {3}^{ - 2} \)

\( \frac{1}{3 \times 3} \)

\( \frac{1}{9} \)

Answer:

 (b+3)+b=51

"b" is a smaller number, that is 24.

So a larger numer is 27

Step-by-step explanation:

L = b +3

L+b = 51

(b+3) + = 51

2b + 3 = 51 >> subtract 3 to both sides

2b = 48 >> divide by 2 to both sides

b = 24

Larger = b + 3= 24 + 3= 27

Question:

A package of 8 pens costs $1.09. Milo’s work to find the unit price of the pack is shown below.

8p/$1.09 =

8÷$1.09  =

$7.34

Where did Milo make his first error?

Answer:

He wrote the unit rate incorrectly.

Step-by-step explanation:

Given

pens = 8

cost + $1.9

Required

Determine Milo's error

Comparing the calculation with Milo's:

We can see that he made wrong calculations i.e. in other words, he solved the required incorrectly

Answer:  brainiest?

Step-by-step explanation:

Answer:

\(r\le \:12.5\)

Step-by-step explanation:

Answer:

r<=12.5

Step-by-step explanation:

87.5-150 = -62.5

-62.5/-5 = 12.5

you multiplied by a negative so the symbol switches

<=

The solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

To fathom the given differential equation, xy'' + y' = 0, we will begin by expecting a control arrangement of the frame y = ∑(n=0 to ∞) a_nx^n, where a_n speaks to the coefficients to be decided.

Separating y with regard to x, we get:

\(y' = ∑(n=0 to ∞) a_n(nx^[(n-1))] = ∑(n=0 to ∞) na_nx^[(n-1)]\)

Separating y' with regard to x, we get:

\(y'' = ∑(n=0 to ∞) n(n-1)a_nx^[(n-2)]\)

Presently, we substitute these expressions for y and its subsidiaries into the differential condition:

\(x(∑(n=0 to ∞) n(n-1)a_nx^[(n-2))] + (∑(n=0 to ∞) na_nx^[(n-1))] =\)

After improving terms, we have:

\(∑(n=0 to ∞) n(n-1)a_nx^[(n-1)] + ∑(n=0 to ∞) na_nx^[n] =\)

Another, we compare the coefficients of like powers of x to zero, coming about in a boundless arrangement of conditions:

For n = 0: + a_0 = (condition 1)

For n = 1: + a_1 = (condition 2)

For n ≥ 2: n(n-1)a_n + na_n = (condition 3)

Disentangling condition 3, we have:

\(n^[2a]_n - n(a_n) =\)

n(n-1)a_n - na_n =

n(n-1 - 1)a_n =

(n(n-2)a_n) =

From equation 1, a_0 = 0, and from equation 2, a_1 = 0.

For n ≥ 2, we have two conceivable outcomes:

n(n-2) = 0, which gives n = or n = 2.

a_n = (minor arrangement)

So, the solution to the given differential equation is \(y = a_0x^{[0]} + a_1x^{[1]} + a_2x^{[2]}\), where a_0, a_1, and a_2 are constants.

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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The weight of th baby elephant in the month of March would be 247.5 Kg.

Weight of a body is the force exerted by the earth on the body on the surface of the earth towards its center.

Given is that in January a baby elephant weighs 180kg. By March the weight of the baby elephant had increased by ⅜.

Assume the weight of the baby elephant in March would be {x} Kg. We can write -

{x} = 180 + 3/8 of 180

{x} = 180 + 3/8 x 180

{x} = 180 + 67.5

{x} = 247.5 Kg

Therefore, the weight of th baby elephant in the month of March would be 247.5 Kg.

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Answer:

-1/2 < x < 2/3

Justin obtained a loan of $32,500 at 6% compounded monthly. He wants to know how long it will take to settle the loan with payments of $2,810 at the end of every month. So, it would take approximately 1 year and 2 months (rounded up) to settle the loan with payments of $2,810 at the end of every month.

To find the time it takes to settle the loan, we can use the formula for the number of payments required to pay off a loan. The formula is:

n = -(log(1 - (r * P) / A) / log(1 + r))

Where:
n = number of payments
r = monthly interest rate (annual interest rate divided by 12)
P = monthly payment amount
A = loan amount

Let's plug in the values for Justin's loan:

Loan amount (A) = $32,500
Monthly interest rate (r) = 6% / 12 = 0.06 / 12 = 0.005
Monthly payment amount (P) = $2,810

n = -(log(1 - (0.005 * 2810) / 32500) / log(1 + 0.005))

Using a calculator, we find that n ≈ 13.61.

Since the question asks us to round up to the next payment period, we will round 13.61 up to the next whole number, which is 14.

Therefore, it would take approximately 14 payments to settle the loan. Now, we need to express this in years and months.

Since Justin is making monthly payments, we can divide the number of payments by 12 to get the number of years:

14 payments ÷ 12 = 1 year and 2 months.

Therefore, if $2,810 was paid at the end of each month, it would take approximately 1 year and 2 months (rounded up) to pay off the loan.

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The best way to ensure that conclusions can be generalized to the whole is random sampling; population in survey research. The correct answer is c. Random sampling; population

Random sampling means that a representative sample of the population is chosen and the results of the study can be applied to the population as a whole.
Random sampling is a sampling technique that is used to create a sample from a larger population. Each member of the population has an equal chance of being selected in random sampling.

Survey research is a quantitative research technique that collects information from a representative sample of a population. This research technique can be used to collect data from respondents by asking questions on a pre-determined topic or topics.

In survey research, random sampling is one of the best ways to ensure that conclusions can be generalized to the whole population. In this process, each member of the population is given an equal opportunity to be included in the sample. This approach lowers the possibility of sampling error and ensures that the results are more accurate and reliable.

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Answer:

Beatle spin bbc ankle biter bush light

Answer:

9.4

Step-by-step explanation:

a2+b2=c2

8^2 + 5^2 = c2

64 + 25 = 89

square root of 89 = 9.4

Answer:

Answer:y=\frac{1}{2}x-2Step-by-step explanation:we are given Line is perpendicular to y=−2x−6we can compare it with y=mx+bwhere m is slope so, m=-2so, slope is -2Our line is p…

Step-by-step explanation:

Answer:

-12 + 6

Step-by-step explanation:

Answer:

-12+6

Step-by-step explanation:

The two terms are

-12

and

+6

Put them together in the reverse order and you have -12+6

(a) To find the probability of selecting a blue ball, we need to consider the probabilities from both urns.

The probability of selecting the first urn is 1/2 since there are two urns and one is chosen at random. The probability of selecting a blue ball from the first urn is 6/20 (6 blue balls out of a total of 20 balls).

The probability of selecting the second urn is also 1/2. The probability of selecting a blue ball from the second urn is 12/19 (12 blue balls out of a total of 19 balls).

To find the overall probability of selecting a blue ball, we can use the law of total probability:

P(blue) = P(First Urn) * P(blue | First Urn) + P(Second Urn) * P(blue | Second Urn)

P(blue) = (1/2) * (6/20) + (1/2) * (12/19)

Simplifying the expression, we get:

P(blue) = 0.25 + 0.3158

P(blue) = 0.5658

To convert to a percentage, we multiply by 100:

P(blue) = 56.58%

(b) Given that the chosen ball is blue, we want to find the probability that it came from the first urn.

Using Bayes' theorem, we can calculate:

P(First Urn | blue) = (P(blue | First Urn) * P(First Urn)) / P(blue)

P(First Urn | blue) = (6/20 * 1/2) / 0.5658

P(First Urn | blue) = 0.15 / 0.5658

P(First Urn | blue) ≈ 0.2654

To convert to a percentage, we multiply by 100:

P(First Urn | blue) ≈ 26.54%

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You will be able to withdraw approximately $3,076.32 at the end of 5 years.

To calculate the amount you will be able to withdraw at the end of 5 years, we can use the future value formula for compound interest.

The formula for calculating the future value (FV) of a present value (PV) invested at an annual interest rate (r) for a certain number of years (t) is:

\(FV = PV * (1 + r)^t\)

Given:

PV = $2,300

r = 6% = 0.06 (decimal representation)

t = 5 years

Substituting these values into the formula, we get:

FV = $2,300 * \((1 + 0.06)^5\)

Calculating the expression inside the parentheses:

\((1 + 0.06)^5 = 1.338225\)

Multiplying the present value by this factor:

FV = $2,300 * 1.338225

FV ≈ $3,076.32

Therefore, you will be able to withdraw approximately $3,076.32 at the end of 5 years.

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You deposit $2,300 into an account that pays 6% per year. Your plan is to withdraw this amount at the end of 5 years to use for a down payment on a new car. How much will you be able to withdraw at the end of 5 years? Do not round intermediate calculations. Round your answer to the nearest cent

Using the mean concept, the ratio of the number of female attendants to the number of male attendants was of 3.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

In this problem:

Hence:

\(\frac{1200f + 800m}{f + m} = 900\)

1200f + 800m = 900f + 900m

100m = 300f

\(\frac{f}{m} = 3\)

Hence the ratio was of 3.

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The percentage of participants with scores between 115 and 130 is approximately 95%.

According to the 68-95-99.7% rule, in a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean.

Approximately 95% of the data falls within two standard deviations of the mean.

Approximately 99.7% of the data falls within three standard deviations of the mean.

In this case, we have a mean of 100 and a standard deviation of 15.

To find the percentage of participants with scores between 115 and 130, we need to calculate the proportion of data within this range.

First, let's determine the number of standard deviations away from the mean each value is:

For a score of 115:

Number of standard deviations = (115 - 100) / 15 = 1

For a score of 130:

Number of standard deviations = (130 - 100) / 15 = 2

Since we are within two standard deviations of the mean, we can use the 95% rule. This means that approximately 95% of the participants' scores will fall within the range of 115 and 130.

Therefore, the percentage of participants with scores between 115 and 130 is approximately 95%.

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Answer:

12

Step-by-step explanation:

50% of 8 is 4 therefor it would be 8+4 to get the total witch is 12

The value of the function h(x) = -2x + 4 when x = 4 is h(4) = -4

The equation of the function is given as:

h(x) = -2x + 4

The value of x is given as:

x = 4

Substitute x = 4 in h(x) = -2x + 4

h(4) = -2 * 4 + 4

Evaluate the product

h(4) = -8 + 4

Evaluate the sum

h(4) = -4

Hence, the value of the function h(x) = -2x + 4 when x = 4 is h(4) = -4

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The correct answer is The complete price (minus returns) is due within 30 days, or a 2 percent discount for payments made within 10 days.

2. Net Sales are Going Up.

Explanation:

1. The breakdown of a company's sales discounts with terms 2/10, n/30 is as follows:

The % discount is represented by 2,

You must pay the business within 10 days to be eligible for the discount.

If you were unable to pay the corporation within the first 10 days, you would have had n/30 days to do so. You are not eligible for the discount if you pay during this time frame after the first 10 days.

Consequently, the parameters of the sales discount mentioned above are a 2 percent discount for payment within 10 days, or the full amount (less returns) due within 30 days.

2. As goods are returned and risk must be managed, sales returns and sales allowances have the impact of lowering the net sales total. Therefore, if they decrease, net sales increase.

A decrease in the credit card company's discount also causes a rise in sales because it increases the amount made per sale or transaction and decreases the amount the company must provide in discounts.

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Answer:Julios​'s ​number is 31

suppose: Julios​'s ​number is x

because Julio ​says, "If you subtract 13 from my number and multiply the difference by -3​, the result is -54 ​"

=> we have: (x - 13).(-3) = -54

                 <=>  x  - 13 = (-54):(-3) = 18

                   <=> x = 18 + 13 = 31

                   <=> x = 31

Step-by-step explanation:

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

15 +8=23

It would take them 9/10 of an hour to mow the lawn together.

To solve the problem, we can use the formula:
time = work / rate
Let's first find the rates of Fred and Melissa. Fred can mow the lawn in 90 minutes, so his rate is:
1 lawn / 90 minutes = 1/90 lawns per minute
Similarly, Melissa's rate is:
1 lawn / 30 minutes = 1/30 lawns per minute
When they work together, their rates add up:
rate together = rate of Fred + rate of Melissa
rate together = 1/90 + 1/30
rate together = 1/54 lawns per minute
Now we can use the formula to find the time it takes for them to mow the lawn together:
time = work / rate
time = 1 lawn / (1/54 lawns per minute)
time = 54 minutes
Therefore, it would take Fred and Melissa 54 minutes to mow the lawn if they worked together. This can be expressed as the reduced fraction 9/10.

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The pair of angles ∠1 and ∠5 are same-side interior angles.

Two angles that are on the same-side of the transversal and inside (between) the two lines are referred to as same-side interior angles.

Given,

t is the traversal line.

a and b are two lines.

Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other.

So, a and b are not at equal distance.

a and b are not parallel lines.

And two angles ∠1 and ∠5 that are on the same-side of the transversal and inside (between) the two lines a and b are referred to as same-side interior angles.

Therefore, ∠1 and ∠5 are same-side interior angles.

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