7. Find the intervals on which function f(x)= x - 6x2 +9x is increasing, decreasing, concave up, concave down. Identify any relative extrema (state their kind: minimum/maximum) and inflection points and give their coordinates. Using this information, sketch the graph of this function.

The original price of the shirt was $6.25

In this question, we have been given Archie bought a shirt on sale that was 20% less than the original price. The original price was $5 more than the sale price.

We need to find the original price.

Let the original price of the shirt be x and the sale price of the shirt is y

20x/100 = y

x/5 = y

x = 5y

Now the second equation that we get is

x = y + 5

5y - y = 5

4y = 5

y = 5/4

Now putting the value of y in the first equation we get

x = 5y

 = 5 (5/4)

 = 25/4

 = 6 1/4

 = $6.25

Then we can say that the original price of the shirt was $6.25

Therefore, the original price of the shirt was $6.25

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Answer: 17 is a prime number.

Explanation:

17 is a prime number because it is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, 17 can only be divided evenly by 1 and 17. It is not possible to find any other whole number that can divide into 17 without a remainder. This property is what makes 17 a prime number.

Answer:

17

Step-by-step explanation:

17 is the only # in the set that is only divisible by 1 and itself, make it prime.

On the other hand,

10 is divisible by:

1, 10

2, 5.

12 is divisible by:

1, 12

2, 6

3, 4

So only 17 is prime.

Answer: It's A

Step-by-step explanation:

Answer:

117.46 sq in

Step-by-step explanation:

The area of the square is 196 sq in, and the area of the circle is 78.54 sq in. Subtracting this gives us the empty space, which is 117.46 sq in. Hope this helps

177.46 inch²

hello

would you like to be my friend? ≧ω≦

can i please get your intro?

Myself Ojasvi

Class 8, 13

India

Answer:

Step-by-step explanation:

D the situation shows correlation with causation

Answer:

the situation shows correlation with caution

Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248.

The correct answer is B. $263.50, which is calculated by taking the standard pay of 40 hours at $6.20 per hour ($248) and adding the time-and-a-half pay of 2.5 hours at $9.30 per hour ($23.25).

Pepe Rodriquez works 42.5 hours at $6.20 per hour. The first 40 hours would be paid at the standard rate of $6.20 per hour, equaling $248. The remaining 2.5 hours would be paid at time-and-a-half, which is 1.5 times the hourly rate of $6.20, equaling $9.30 per hour. The total pay for the 2.5 hours is therefore $9.30 x 2.5 hours = $23.25. Adding the standard pay of $248 to the time-and-a-half pay of $23.25 yields a total of $263.50. Therefore, the correct answer is B. $263.50.

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Answer: it  B i did it in class

Step-by-step explanation:

The fraction 1/4th of the animals at the Jackson Zoo are monkeys.

What is a fraction?

If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.

Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.

At the Jackson Zoo, 1/2 of the animals are primates

So if x is the total animals in that zoo, total primates are x/2.

Now out of them, 1/2 are monkeys i.e  1/2 of x/2

= x/4.

Hence 1/4 th fraction of the animals at the Jackson Zoo are monkeys.

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Answer: 185.7 miles

Step-by-step explanation:

To find the total distance, add the smaller distances together.

47.8 + 72 + 65.9 = 185.7

Answer:

3x+2y

Step-by-step explanation:

Find the rectangles attached

Area of a rectangle = Length * Width

A = A1+A2

given

A = 30cm²

A1 = 3 * x

A1 = 3x

A2 = 2*y

A2 = 2y

Substitute

30 = 3x+2y

Hence the required equation is 3x+2y = 30

Answer: 3x + 2y = 30

Step-by-step explanation:

A = L x W

The sum of the rectangle is 30.

One angle is 3 and x, the other one is 2 and y.

Multiply 3 with x = 3x.

Multiply 2 with y = 2y

Then create your equation plugging in 30 as the answer to 3x + 2y

Answer:

-12

Step-by-step explanation:

the opposite of 12 is -12

Answer:

24

Step-by-step explanation:

Put aside all of the other numbers and just focus on the amount of green pens in one pack and how many packs there are. Multiply those two numbers (6×4) to get 24. Hope this helped <3

Answer:

x = 12    x= -12

Step-by-step explanation:

x^2-144=0

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(x-12) (x+12) =0

Using the zero product property

x-12= 0  x+12 =0

x = 12    x= -12

Answer:

x = 12 or x = -12

Answer:

A: Commutative Property of Multiplication

Step-by-step explanation:

Answer:

i will happen to say the answer is A

Step-by-step explanation:

A) Commutative Property of Multiplication

Answer:

9x^2 - 36x + 35.

Step-by-step explanation:

One would be (x - 5/3)(x - 7/3)   <------ in factor form.

Getting rid of the fractions by multiplying each term by 3:

= (3x - 5)(3x - 7)

Converting to standard form

= 3x*3x -7*3x - 5*3x + 35

= 9x^2 - 36x + 35.

The difference between the total number of white tiles and the total number of black tiles in the new figure is 11.

Thirteen black and six white hexagonal tiles. If a new figure is created by attaching a border of white tiles with the same size and shape as the others

To find  the difference between the total number of white tiles and the total number of black tiles in the new figure.

Now, According to the question:

The solution will be:

The first ring around the middle tile has 6 tiles, and the second has 12. From this pattern, the third ring has 18 tiles. Of these, 6+18=24 are white and 1+12=13 are black, with a difference of 24-13 = 11.

Hence, the difference between the total number of white tiles and the total number of black tiles in the new figure is 11.

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IDKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKKk

Answer:

actually gasoline, many believe its concrete but if you drink spoon, you'll go to the other shipment of 4. sorry to break it to you but its true.

Step-by-step explanation:

The probability that the respondent has a pet given that the respondent has had a pet is approximately 0.519, or 51.9%.

To calculate the probability that a respondent has a pet given that they have had a pet, we can use Bayes' theorem:

P(Have a pet | Have had a pet) = P(Have had a pet | Have a pet) * P(Have a pet) / P(Have had a pet)

We are given that:

P(Have a pet) = 0.41

P(Have had a pet) = 0.79

We don't know P(Have had a pet | Have a pet), but we can use the fact that anyone who has a pet has also had a pet, so:

P(Have had a pet | Have a pet) = 1

Plugging in these values, we get:

P(Have a pet | Have had a pet) = 1 * 0.41 / 0.79

= 0.519 or 51.9%.

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Yes, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.

A vector is a mathematical object that represents a quantity with both magnitude and direction. In the case of ℝ5, this set includes all possible lists of five real numbers, which can be thought of as five-dimensional vectors. Each number in the list represents a component or coordinate of the vector, indicating how far it extends in each of the five dimensions.

Therefore, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.


In mathematics, a vector is an element of a vector space, which is a set of objects that can be added together and multiplied by scalars (real numbers). The set ℝ⁵ is a vector space consisting of all 5-tuples (lists) of real numbers, written as (a₁, a₂, a₃, a₄, a₅), where each element aᵢ is a real number. Any list of five real numbers forms a vector in ℝ⁵ because it satisfies the required conditions to be an element of the vector space.

A list of five real numbers is indeed a vector in the set of real numbers ℝ⁵, as it meets the necessary criteria to be a part of the vector space.

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From the question, Flag 4 is a right triangle because the square of one side is equal to the sum of the square of the other two sides

A Right triangle is one in which one of the interior angles is 90°. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the square of the hypotenuse side is equal to the square of the addition of the other two sides

From Flag 4

\(8^{2}\) = 64

\(15^{2}\) = 225

\(17^{2}\) = 289

Hence,

\(17^{2}\) = \(15^{2}\) + \(8^{2}\)

289 = 225 + 64

289 = 289

Therefore, from the question, its only Flag 4 that is a right triangle

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Answer:

1) Slope= 2, y-intercept=4, equation: y=2x+4

2.Slope= -10 , y-intercept= 60 , equation: y=-10x+60

Step-by-step explanation:

Slope formula: \(\frac{y_{2}-y_1 }{x_2-x_1}\)

1. Plug in two sets of cordinates into the equation

(0,2) (2,8)

2. Solve, slope =2

3. Plug in one pair into the point slope formula

Point slope formula: \(y-y_1=slope(x-x_1)\)

4. y-8=2(x-2)

5.y-8=2x-4

6. y=2x+4

Do the same for the other equation

Answer:

1: slope

2: y-intercept

1a: slope= 3

1b: 2

y=3x+2

2a: slope= -10

2b: 60

y= -10x+60

Step-by-step explanation:

도ㅣㅣㅐ ㅡㅛ 무다냐맛ㄷ-ㅣㅛㅜㅜ 좨 ㅁㄱㄷ ㅛㅐ

Answer:

h=1.27

Step-by-step explanation:

\(v=\pi r^{2} h\)

\(=\pi *3^{2} *1.27\)

= approximately 36.00001

Answer:

In Group A, Maxine made a mistake, the solution should be (-3,4)

In Group B Sergio made a mistake, the solution should be (3,2)

Step-by-step explanation:

Substitute the given solutions to the system of equations, then see which ones are incorrect, after doing this solve the incorrect ones and you will have your answer.

To solve the cash flow diagram and determine the factors and NPV, we have the following information:

V1 = $2,000.0 (Initial cash inflow)

V2 = $3,679.1 (Cash inflow at year 5)

D = $305.4 (Cash outflow at year 5)

A = $287.5 (Annual cash inflow)

g = 2.7% per year (Growth rate)

i = 6% (Discount rate)

Let's calculate the factors for each cash flow using the X, i, and N format:

Factor for V1: X = V1

               i = 6%

               N = 0 (Year 0)

               FV = V1

Factor for V2: X = V2

               i = 6%

               N = 5 (Year 5)

               FV = V2

Factor for D:  X = -D

              i = 6%

              N = 5 (Year 5)

              FV = -D

Factor for A:  X = A

              i = 6%

              N = 1, 2, 3, 4 (Years 1 to 4)

              FV = A * (1 + g)^N

Now, let's calculate the future value (FV) for the annual cash inflow using the growth rate:

FV = A * (1 + g)^N

FV = $287.5 * (1 + 2.7%)^1 + $287.5 * (1 + 2.7%)^2 + $287.5 * (1 + 2.7%)^3 + $287.5 * (1 + 2.7%)^4

Once we have the factors and the FV for each cash flow, we can calculate the Net Present Value (NPV) using the formula:

NPV = (Factor for V1 * FV for V1) + (Factor for V2 * FV for V2) + (Factor for D * FV for D) + (Factor for A * FV for A)

By substituting the respective factors and FV values into the NPV formula, we can calculate the NPV of the cash flow diagram.

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Answer:

17 players

Step-by-step explanation:

Members of a baseball team raised $1611.75 to go to a tournament. They rented a bus for $791.50 and budgeted $48.25 per player for meals. Write and solve an equation which can be used to determine xx, the number of players the team can bring to the tournament.

Where x = Number of players

The Equation is given as:

$1611.75 = $791.50 + $48.25 × x

1611.75 - 791.50 = 48.25x

820.25 = 48.25x

x = 820.25/48.25

x = 17 players

The number of players the team can bring to the tournament is 17 players

Answer:

Equation: 48.25x+791.5=1611.75  

Answer: x = 17

i gotchu:)

Answer:

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some one already answered the question you have  

Step-by-step explanation:

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

\(GDP = 11(1.0220)^{t}\)

We can also see that the exponential model formula given by: governs this formula.

\(GDP = 11(1.0220)^{t\)

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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