Which is the graph of f(x) = 2(3)*?

Answer:

2,730

Step-by-step explanation:

4200 x 0.35 = 1470, 4200 - 1470 = 2730

Answer:

35% markdown of 4200 mean;

4200 - 35% of 4200

= 4300 - 1470 = 2730

The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Answer:

  (b)  (f+g)(x) = -8x +12; all real numbers

Step-by-step explanation:

The sum of the functions (f+g)(x) is the sum of the functions f(x)+g(x).

  f(x) +g(x) = (6 -6x) +(-2x +6)

  = (-6-2)x +(6 +6)

  (f +g)(x) = -8x +12

__

The domain of any polynomial, or sum of polynomials, is all real numbers.

Answer:

Step-by-step explanation:

There are approximately 13.38 ounces of chips in the bag.

What is division?

Division is one of the four basic mathematical operations of arithmetic, along with addition, subtraction, and multiplication. It is the inverse operation of multiplication, and it is used to find out how many times one number is contained within another number.

To find out how many ounces of chips are in the bag, you can use the formula:

cost of bag / cost per ounce = number of ounces

In this case, you know that the cost of the bag is $3.91 and the cost per ounce of chips is 29.5 cents per ounce.

First, you need to convert the cost per ounce from cents to dollars. 29.5 cents is equal to 0.295 dollars (29.5 cents / 100 cents = 0.295 dollars)

So, you can substitute these values into the formula:

3.91 / 0.295 = 13.38

Hence, there are approximately 13.38 ounces of chips in the bag.

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The cost of the 28 inches and 36 inches diagonal Smart TVs, based on the quadratic cost function are;

28 - inch diagonal; $134

36 - inch diagonal; $165

A quadratic function is a function of the form f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The cost of the Smart TV as a function of the diagonal length is C(d) = 0.322·d² - 16.776·d + 351.444

The above function indicates that the cost of a Smart TV that is 28 inches long is; C(28) = 0.322 × 28² - 16.776 × 28 + 351.444 ≈ 134

The cost of a Smart TV with a diagonal of 36 inches is therefore;

C(36) = 0.322 × 36² - 16.776 × 36 + 351.444 ≈ 165

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Answer:

D

Step-by-step explanation:

hope this helps :3

Answer:

hundreds

Step-by-step explanation:

Remember the place values:

thousands 8

hundreds 2

tens 1

ones 6

.

tenths 4

The 2 is in the hundreds place.

Answer:

31°

Step-by-step explanation:

α = ß = 31°

A percentage is a way to describe a part of a whole. The amount of your profit is $29.86. The percent of profit, based on your investment is 58.12%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The cost of buying 72 shares is $(411/8) = $51.375

The cost of selling 72 shares is $(491/4) = $122.75

The total brokerage fees = $(1/8 × 72) = $9

All other charges amounted = $32.52

The profit is,

Profit = $122.75 - $51.375 - $9 - $32.52

          = $29.855 ≈ $29.86

Hence, the amount of your profit is $29.86.

B.) The percent of profit, is based on your investment.

Since the investment is the cost of purchasing the share, therefore, the percent of profit, based on your investment can be written as,

Profit % = $29.86 /$51.375 × 100% = 58.12%

hence, The percent of profit, based on your investment is 58.12%.

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The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &20 \end{cases}\)

\(A = 2000\left(1+\frac{0.03}{12}\right)^{12\cdot 20}\implies A=2000(1.0025)^{240} \implies \boxed{A \approx 3641.51} \\\\\\ 3641.51~~ - ~~2000~~ \approx~~ \stackrel{earned~interest}{\boxed{1641.51}}\)

The employer will charge $55 for 5 hours

The first step is to calculate the amount charged for an hour

22= 2

x= 1

cross multiply

2x= 22

x= 22/2

x= 11

The amount charged for 5 hours can be calculated as follows

11= 1

y= 5

cross multiply

y= 55

Hence $55 will be charged for 5 hours

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The equivalent proportional relationships in this problem are given as follows:

In a proportional relationship, the output variable y is obtained from the multiplication of the input variable x and the constant of proportionality k, by the rule presented as follows:

y = kx.

Proportional relationships are said to be the same when they have the same constant of proportionality k.

For each relationship in this problem, the constants are given as follows:

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The 19th term of a geometric sequence is 1048576.

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

We have,

a = 4 and r = 2

The nth term of a geometric sequence.

= a\(r^{n-1}\)

Now,

The 19th term of a geometric sequence.

= a\(r^{n-1}\)

Substituting a and r values.

= 4 x \(2^{19 - 1}\)

= 4  x \(2^{18}\)

= 4 x 262144

= 1048576

Thus,

The 19th term of a geometric sequence is 1048576.

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Answer:

Check below for the answers and explanations to the questions.

Step-by-step explanation:

a) The explanatory variable is "the neighborhood" because it is the one that can be controlled/varied by the experimenter and also determines the outcome of the experiment.

The response variable is the "academic performance of the children" since it is the outcome of the experiment.

b) The subjects of the study are the children of the 1000 families that were given federal housing vouchers to relocate.

The factors of the study are:

1. the low income neighborhood

2. the federal housing estate

Treatment is the combination of various levels of the factor. In this case, it is the neighborhood of the families.

c) No significant difference means that the mean of the academic performance of the children while living the low-income neighborhood equals the mean of their academic performance while living in the federal housing estate. Which means that the null hypothesis is accepted.

d) The period of evaluation after relocation is very small compared to the time that has been spent in the low-income neighborhood. The observation has to take a longer time to discover the effect of the new neighbourhood on the academic performance of the children. Therefore the lack of improvement in academic performance after one year does not necessarily mean that neighborhood does not have effect on academic performance.

e) some other variables that are not considered in this study are:

The average Intelligence Quotient of the children

The parental training

The schools attended by the children

Average number of hours spent on study

Answer:

\(q = 5.9\)

Step-by-step explanation:

Add 3.6 to both sides.

\(2.3 + 3.6 = q\)

Simplify 2.3 + 3.6 to 5.9

\(5.9 = q\)

Hence, the answer is 5.9.

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

Step 2: Subtract 3x from both sides.

Step 3: Subtract 1 from both sides.

Let's solve your equation step-by-step.

1/3 (9x+3)=3x+1

Step 1: Simplify both sides of the equation.

1/3(9x+3)=3x+1

(1/3)(9x)+(1/3)(3)=3x+1(Distribute)

3x+1=3x+1

Step 2: Subtract 3x from both sides.

3x+1−3x=3x+1−3x

1=1

Step 3: Subtract 1 from both sides.

1−1=1−1

0=0

Answer:

All real numbers are solutions.

Answer:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x9+13 f - 1 ( x ) = x 9 + 1 3 is the inverse of f(x)=9x−3 f ( x ) = 9 x - 3

Answer:

y = x + 3/9

Step-by-step explanation:

Solve for y +3 +3

x+3 = 9y = y=x+3/9

16 boxed lunch cost $187.2.

Given that a company orders 20 boxed lunches from a deli for $234.00.

Each boxed lunch costs the same amount.

20 boxed lunches from a deli for $234

1 boxed lunches from a deli for $234/20 = $11.7

Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2

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Kennedy took a taxi from.her house tonthe airport. The taxi company charged a pick up fee of $3.20 plus $3.75 per mile. The total fare was $14.45 not including the tip. Write and solve an equation to determine the number of miles in the taxi ride.

Answer:

3

Step-by-step explanation:

Answer:

Amount of members = 9

then we multiply the different probabilities of the trustess which is 4, so we do 9 x 4= 36

Step-by-step explanation:

So there are 36 different ways

answer: 36 different ways

Answer:

-8

Step-by-step explanation:

5(6+2)+(6m+8)

30+10+6m+8

48+6m

48=-6m

-8=m

Answer:

48+6m

Step-by-step explanation:

5(6+2)+(6m+8)

=5(8)+(6m+8)

=40+(6m+8)

when there is a+in front of an expression in parentheses the expression remains the same. Therefore don't touch; just remove the parentheses.

=40+6m+8

add 40+8; then finally add 6m to it.

=48+6m

please mark as brainliest.

Answer:

x = 125 ft and y = 250/3 ft

Step-by-step explanation:

Let assume that,

x be the length of the northern part of the fence (parallel to the north wall)

y be the length of the western and eastern pieces of the fence

As well as farmer has $4000 to spend hence we can write,

8x + 8y + 4y = 4000

8x + 12y = 4000

Hence we can say that,

from the above equation we can write

\(y=\frac{4000}{12} -\frac{2x}{3}\)

We know that area

A=xy.

\(A(x) =\frac{500x}{3}-\frac{2x^2}{3}\)

we can write

\(A'(x) = \frac{500}{3} -\frac{4x}{3}\)

equating it 0 we get

\(A'(x) = \frac{500}{3} -\frac{4x}{3}=0\)

\(x=125\)

Also,

\(A"(x) = -\frac{4}{3}\)

which is less than zero.

we can see that A''(x) is always less than 0 hence using second derivative test we can say that x = 125 is a maximum point.

now, solving for y we get  \(y= \frac{250}{3}\)

Hence we can say that dimensions for the plot that would enclose the most area is,

x = 125 ft and y = 250/3 ft

The dimensions for the plot that would enclose the most area are: \(125 ft, \frac{500}{3} ft.\)

Let the length of the rectangular plot be x be the length of the northern part of the fence (parallel to the north wall)  and y be the length of the western and eastern pieces of the fence.

As well as farmer has $4000 to spend, Thus

8x + 8y + 4y = 4000

8x + 12y = 4000

\(x=\frac{4000-12y}{8}\)

And the area of the rectangular fence is:

\(A=xy\\A=\frac{4000-12y}{8}y\\ A(y)=500y-\frac{3}{2} y^{2}\\A'(y)=500-{3} y\\A'(y)=0\\500-{3} y=0\\y=\frac{500}{3}\)  

\(A"(y)=-3<0\)

we can see that A''(y) is always less than 0 .

Therefore area is maximum.

Now,

\(x=\frac{4000-12(\frac{500}{3} )}{8} \\x=250 ft\)  

So, the dimensions for the plot that would enclose the maximum area is: \(125 ft, \frac{500}{3} ft.\)

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if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

Calculating the loan amount for each brand by subtracting the down payment from the cash price:

Loan amount for Daewoo = RM1,899 - RM300 = RM1,599

Loan amount for Daikin = RM1,699 - RM300 = RM1,399

Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699

Calculating the interest charge for each brand:

Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96

Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96

Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96

To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:

Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22

Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89

Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72

Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).

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Answer:

200

Step-by-step explanation:

41 x 5 = 205

20% x 5 = 100%

The probability of selecting a student who prefers green is:

5/28

What is frequency?

Frequency refers to the number of times a particular event or value occurs in a given dataset or sample. It is commonly used in statistics and probability to analyze and describe data. In the context of a survey or study, frequency can be used to represent how many times a particular response or answer was given by participants.

According to the question:
The total number of students is:

6 + 9 + 3 + 5 + 5 = 28

The probability of selecting a student who prefers green is:

5/28

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Answer: y=½x+0

Step-by-step explanation: ∆y/∆x =1-½/2-1=½ the first part of the rule is ½x Plug in x=3 ½×3=3/2 when x=5 ½×5=4/2 Therefore the rule is y=½x+0

The mathematical sentence can be written as:

x^3 = y^5

A number a to the power of n is written as:

a^n

Then:

"x to the power of 3 is equal to y to the power of 5"

Would be written as:

x^3 = y^5

Particularly, this does not appear in the given options, but this is the correct and simplest way of writing the given mathematical sentence.

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Answer:100

Step-by-step explanation:

40+40 =80 +20=100

Answer:

 189 tickets

Step-by-step explanation:

The ratio 8 : 1 has a difference of 7 ratio units. The difference in tickets is 147, so each ratio unit must represent ...

 (147 tickets)/(7 ratio units) = 21 tickets/ratio unit

The total sales was 8+1 = 9 ratio units, so was ...

 (9 ratio units)(21 tickets/ratio unit) = 189 tickets

brainy please