The longest side of a triangle is a cm.
The second side is bcm shorter than the first side.
The third side is half as long as the second side.
Write an expression, in its simplest form, for the perimeter of
the triangle

Answer:

We conclude that the range of the function will be:

R = {5, 17, 29}

Step-by-step explanation:

Given

Given the function

f(x) = 6x-1

Given the domain

D = {0, 3, 5}

To Determine:

The range R = ?

We know that range of the function consists of all the y-values for the x-values in the domain of the function.

so substituting the values of x = 0, 3, and 5 in the function to determine the corresponding y-values.

Plug in x = 0

y = 6x-1

y = 6(0) - 1 = 6-1 = 5

Plug in x = 3

y = 6x-1

y = 6(3) - 1 = 18-1 = 17

Plug in x = 5

y = 6x-1

y = 6(5) - 1 = 30-1 = 29

Now, combine all the determined y-values which are 5, 17, and 29.

Therefore, we conclude that the range of the function will be:

R = {5, 17, 29}

Answer:

$750

Step-by-step explanation:

.8x = $600, so x = $750

The profit-maximizing level of outputs for the two-product firm is Q1* = 10 and Q2* = 5. This leads to prices P1* = 10 and P2* = 20, with a maximum profit of $250.

To find the profit-maximizing level of outputs, we need to determine the quantities that maximize the firm's profit. The profit function can be derived by subtracting the cost function from the revenue function. The revenue for product 1 is given by R1 = P1*Q1, and for product 2, R2 = P2*Q2.

By substituting the demand functions into the revenue functions, we get R1 = (40 - 2P1 - P2)Q1 and R2 = (35 - P1 - P2)Q2. The profit function is then given by Π = (40 - 2P1 - P2)Q1 + (35 - P1 - P2)Q2 - (Q1^2 + 2Q2^2 + 10).

To find the optimal quantities, we take the partial derivatives of the profit function with respect to Q1 and Q2 and set them equal to zero. Solving these equations simultaneously, we find Q1* = 10 and Q2* = 5.

Using these optimal quantities, we substitute them back into the demand functions to find P1* = 10 and P2* = 20. Substituting Q1* and Q2* into the profit function, we calculate the maximum profit to be Π* = $250.

To check the second-order conditions for profit maximization, we use the Hessian matrix. The Hessian matrix is the matrix of second partial derivatives of the profit function with respect to the quantities Q1 and Q2. Evaluating the Hessian matrix at the optimal quantities, we find that the determinant is positive, indicating a concave profit function and satisfying the second-order conditions for profit maximization.

Therefore, the profit-maximizing level of outputs is Q1* = 10 and Q2* = 5, with prices P1* = 10 and P2* = 20, and the maximum profit is $250. The second-order conditions for profit maximization are satisfied, confirming the optimality of this solution.

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SOLUTION

From the question, you currently make 15% flat commission on all sales.

Since you make an average of $3,980 in sales weekly, then Gross income becomes

Hence the answer is $597 weekly

Answer: -5

Step-by-step explanation:

Answer:

4-3i

Step-by-step explanation:

Here, we want to select the option that best correlate

The real and the complex part can be represented as;

a + bi

In this case, a is the real, b is the complex

So we have that;

Real part 4 and imaginary coefficient of 3

That will be

4 -3i

Answer:b

Step-by-step explanation:

Answer:

A good chance because getting heads is most likely what you will get

Step-by-step explanation:

Step-by-step explanation:

the correct answer is option a 6a-7

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's substitute the value of x as 8 in the given equation to find the value of y ~

A recursive sequence is a sequence in which terms are defined using one or more previous terms that are given.

If you know the term n of an arithmetic sequence and you know the common difference, d, you can find the term \((n + 1)\) by tossing the recursive formula to \(n + 1 = a \ n + d\)

We have then:

\(5, 15, 30, 50\)

\(an = (\dfrac{5}{2} ) \times (n) \times (n + 1)\)

Answer:

the recursive formula for 5, 15, 30, 50, is:

an = (5/2) x (n) x (n + 1)

2 hours will pass before they meet.

"Information available from the question"

In the question:

Aaron starts riding a bike at a rate of 3 mi/h on a road toward a store 20 mi away.

Zhang leaves the store when Aaron starts riding his bike, and he rides his bike toward Aaron along the same road at 2 mi/h.

Now, According to the question:

Total distance = 20mi

Aaron starts riding a bike at a rate of  = 3mi/h

Zhang rides his bike toward Aaron along the same road at  = 2mi/h

Let y be the number of hours for them to meet.

The expression is given as

3y + 2y = 20

solving for y, we have

5y = 20

y = 20/5

y = 4hrs

Therefore, 2 hours will pass before they meet.

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Answer:

Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)

Step-by-step explanation:

Sarah's calculation

Let

x = cost of 12 Bone-shaped treats

Quantity of Bone-shaped treats : price

5 : 3.5 = 12 : x

(5/3.5) = (12/x)

Cross product

3.5x=60 (Here is her error)

x=17.14

Correct calculation

Quantity of Bone-shaped treats : price

5 : 3.5 = 12 : x

5 / 3.5 = 12 / x

Cross product

5 * x = 3.5 * 12

5x = 42

x = 42 / 5

= 8.4

x = $8.4

Her error was multiplying numerator by numerator ( that is Quantity of Bone-shaped treats)

Instead of multiplying Quantity of Bone-shaped treats by cost

Answer:

Sarah multiplied the denominator by the denominator and the numerator by the numerator instead of finding the cross products. The equation should be 5x = 42, so the cost should be $8.40.

Step-by-step explanation:

got it wrong but this is the answer the people gave me branliest plz

The expanded form of the polynomial that represents the area of the shaded region is 2x^2 + 18x + 36.

To find the area of the shaded region, we need to multiply the lengths of the sides of the rectangle.

Let's assume the length of the rectangle is represented by 'x + 6' and the width is represented by '2x + 6'.

The area of a rectangle is given by the product of its length and width.

Area = (x + 6) * (2x + 6)

To find the expanded form of this polynomial, we need to multiply each term of the first expression by each term of the second expression:

Area = x * (2x + 6) + 6 * (2x + 6)

Expanding each term:

Area = 2x^2 + 6x + 12x + 36

Combining like terms:

Area = 2x^2 + 18x + 36

Therefore,the expanded form of the polynomial that represents the area of the shaded region is 2x^2 + 18x + 36.

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Answer:

1,688 items

Step-by-step explanation:

So they had at total of 2,150 items at the start of the year. They had 400 sweatshirts, now they have 96(a decrease of 304), 650 T-shirts now they have 139(a decrease of 511), and 1100 notebooks to 227(a decrease of 873). They now have 462 items left. This means that they sold 1,688 items.

Hope this helps.

Answer:

7

Step-by-step explanation:

Answer  70 = 7070

Step-by-step explanation: denotes how many times to multiply the base (70)

The value of x from the given figure is 7.

From the given figure, the measure of two angles are given 118° and (8x+6)°.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Here,

(8x+6)°=m∠4 (Interior alternate angles are congruent)

⇒ 118°+m∠4=180° (Adjacent angles adds up to 180°)

⇒ m∠4=180°-118°

⇒ m∠4=62°

Thus, (8x+6)°=62°

⇒ 8x=62-6

⇒ 8x=56

⇒ x=7

Therefore, the value of x from the given figure is 7.

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Answer:

Step-by-step explanation:

Let m and s represent the carbs in the milk and snack bar, respectively. The given relations are ...

  4m +3s = 82

  2m +4s = 76

Subtracting the first equation from twice the second gives ...

  2(2m +4s) -(4m +3s) = 2(76) -(82)

  5s = 70 . . . . . . . simplify

  s = 14 . . . . . . . divide by 5

We substitute this into the second equation to find m.

  2m +4(14) = 76

  m +28 = 38 . . . . divide by 2

  m = 10 . . . . . . subtract 28

There are 10 carbs in a glass of milk; 14 carbs in a snack bar.

From the given stem and leaf plot, the mode of the given data is 57.

A stem and leaf plot also called a stem and leaf diagram is a way of organizing data into a form that makes it easy to observe the frequency of different types of values.

We know that, mode is value appearing the most times.

From the given graph, we can 57 is repeated thrice.

Therefore, option B is the correct answer.

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Answer:

A

Step-by-step explanation:

7%=0.07

27,000 MULTIPLIED by 0.07=1890

Alice paid: 25,110

Answer:

x would be equal to 11.66 you get this when you divide 67 by 6.

Step-by-step explanation:

Answer:

x = 3/2

Step-by-step explanation:

Step 1: Write equation

-3(6x - 1) = -24

Step 2: Solve for x

Distribute: -18x + 3 = -24

Subtract 3 on both sides: -18x = -27

Divide both sides by -18: x = 3/2

Step 3: Check

Plug in x to verify if it's a solution.

-3[6(1.5) - 1) = -24

-3[9 - 1] = -24

-3[8] = -24

-24 = -24

Answer:

solve for x and that should help match the equation to the correct grapgh, hope this help!

Step-by-step explanation:

2. Using proportion, the value of x = 38, the length of FC = 36 in.

3. Applying the angle bisection theorem, the value of x = 13. The length of CD = 39 cm.

The Angle Bisector Theorem states that in a triangle, an angle bisector divides the opposite side into segments that are proportional to the lengths of the other two sides of the triangle.

2. The proportion we would set up to find x is:

(x - 2) / 4 = 27 / 3

Solve for x:

3 * (x - 2) = 4 * 27

3x - 6 = 108

3x = 108 + 6

Simplifying:

3x = 114

x = 114 / 3

x = 38

Length of FC = x - 2 = 38 - 2

FC = 36 in.

3. The proportion we would set up to find x based on the angle bisector theorem is:

13 / 3x = 7 / (2x - 5)

Cross multiply:

13 * (2x - 5) = 7 * 3x

26x - 65 = 21x

26x - 21x - 65 = 0

5x - 65 = 0

5x = 65

x = 65 / 5

x = 13

Length of CD = 3x = 3(13)

CD = 39 cm

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From the given data 11 is the mean of the data set.

What is Mean ?

In statistics, the mean (also called the average) is a measure of central tendency that represents the typical value in a data set. It is calculated by adding up all the values in the data set and dividing by the number of values.

To find the value of x in the data set, we can use the formula for the mean (also called the average). The mean is calculated by adding up all the values in the data set and dividing by the number of values. In other words:

mean = (sum of all values) : (number of values)

We are given that the mean of the data set is 11, so we can write:

11 = (12 + 9 + 12.5 + 13 + x + 10 + 11 + 11 + 7 + 9) : 10

Here, we have 10 values in the data set (including the unknown value x), so we divide the sum of all the values by 10 to find the mean.

To solve for x, we can start by simplifying the right-hand side of the equation:

110 = 75.5 + x

Next, we can isolate x by subtracting 75.5 from both sides:

x = 34.5

Therefore, the value of x that makes the mean of the data set equal to 11 is x = 34.5.

In other words, if we replace the unknown value x with 34.5, the resulting data set will have a mean of 11. This means that the sum of all the values in the data set will be 110, since:

12 + 9 + 12.5 + 13 + 34.5 + 10 + 11 + 11 + 7 + 9 = 110

And when we divide this sum by 10, we get:

110 : 10 = 11

Therefore, From the given data 11 is the mean of the data set.

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As per the given information, Review 1 highlights the genre of the book, Review 2 expresses enjoyment with a minor concern about its length, and Review 3 focuses solely on the length of the book.

The text opinions offer a few insights into the ebook "The Dispossessed." Review 1 introduces the e book as a fantasy style, suggesting that it contains elements of imagination and fictional elements.

Review 2 shows a wonderful basic impression of the ebook, however raises a difficulty about its length, questioning whether or not the tremendous content is vital.

This evaluate reflects a subjective opinion approximately the e book's pacing and doubtlessly immoderate info.

Lastly, Review three gives a quick remark, emphasizing that the e-book is long without providing any precise assessment.

Thus, those opinions gift exclusive views, with Review 2 offering a extra nuanced opinion by using highlighting each tremendous components and a minor critique.

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