I'd like for someone to help me on this Thank you <3​

Answer:

See below ↓

Step-by-step explanation:

Part A

Part B

Part C

Answer:

Part A

The x-intercepts are when f(x) = 0.

Since x represents the price of pens, and f(x) represents the company's profit, the x-intercepts give the price of the pens when the profit is zero.

⇒ the profit is zero when the price of pens are $0 and $6

The maximum value of the graph (vertex) represents the cost of pens when the profit is at its highest.  Therefore, the optimal amount to price the pens to get the maximum profit.

⇒ maximum profit of $120 occurs when the pens are priced at $3

Part B

[tex]\sf average \ rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

From inspection of the graph, f(3) = 120 and f(5) ≈ 60

[tex]\sf \implies average \ rate \ of \ change=\dfrac{60-120}{5-3}=-30[/tex]

This means that as the price of the pens increases by $1 (between $3 and $5), the average profit decreases by approximately $30.

Part C

The domain is the set of input values (x-values).  As the price of a pen cannot be less than zero, the domain will be x ≥ 0

Unless the company is happy to make a loss, the restricted domain should be 0 ≤ x ≤ 6

The LCD of the given terms of expression will be x² - 4 since others can divide it.

The least common denominator is the smallest number or expression of all the common multiples of the denominators when 2 or more fractions or expressions are given.

Given the terms of the expressions

(x+2)(x-2) and (x^2 - 4)

Expand (x^2 - 4) using the difference of two square:

x² - 4 = x² - 2²

x² - 4 = (x+2)(x-2)

Based on the expansion, we can conclude that the LCD of the given terms of expression will be x² - 4

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Answer:

88.889% are right handed, 11.111% are left handed, ~320 people are right handed in a class of 360, ~40 people are right handed.

Step-by-step explanation:

The fraction 8/9 is equal to .88889, or 88.889%

Likewise, the fraction 1/9  (remainder) is equal to .11111, or 11.111%

By multiplying 360 by these fractions to get the number of people who fit these criteria in the sample, you get:

360*8/9 = 320 people right handed.

360*1/9 = 40 people left handed.

Cheers!

Answer:

1000cm

Step-by-step explanation:

there are 100cm in a meter. so we multiply 10 by 100 to get the amount of centimeters in 10 meters which is 1000cm

Answer: There Are 1000 Centimeters(Cm) In 10 Meters(M)

The unit price of canned corn is $0.14

14 ounces = $1.96

1 ounce = 1.96 / 14

= 0.14

Answer:

12

Step-by-step explanation:

x-4=2(x+8)/5

let's do my favorite strategy: distributive property!

x-4=(2x+16)/5

Now we can simplify.

x-4=(2/5)x+16/5

Let's solve for x!

Subtract 2/5 from both sides

3/5)x=36/5

Now multiply both sides by 5/3, the reciprocal.

You would get 12 as x!

Answer:

100

Step-by-step explanation:

its saying 60% of his favorite number is 60

because the numbers are the same that means the number must be 100

Answer:

The answer is c on edge or f(x) = 1 sqt x + 6 -2

Step-by-step explanation:

From the given two options, none of them has a function that has the same maximum value as f(x) = -|x+3|-2.

A function is a correspondence between input numbers (x-values) and output numbers (y-values). It is used to describe an equation.

Given that:

Suppose that x = c is a critical point of (x) then,

If f'(x) > 0 to the left of x = c and f'(x) < 0 to the right of x = c;

If f'(x) < 0 to the left of x = c and f'(x) > 0 to the right of x = c;

If f'(x) is the same sign on both sides of x = c;

From the given equation, the critical points: x = -3

If we put the point x = -3 into - |x+3|-2

We can therefore conclude that none of them has a function that has the same maximum value as f(x) = -|x+3|-2.

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Answer:

7

Step-by-step explanation:

The value of k will translate the graph up k units if k is positive and down k units if k is negative.  To transform f into g line f would translate up 7 units.

Answer:

Final answer -

[tex]number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}[/tex]

hope helpful :D

The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins

Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;

Let number of 2 rupees coins in the bag = 1x

Let number of 1 rupees coins in the bag = 2x

Let number of 50 paise coins in the bag = 4x

Total amount of money = 72 rupees. Thus;

(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72

2x + 2x + 2x = 72

6x = 72

x = 72/6

x = 12

Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins

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Answer:

28, 28, 34, 34

Step-by-step explanation:

8x - (6 + y)

8(5) - (6 + 6)

40-12

28

w ¾ + x²

4(¾) + 5²

3 + 25

28

y² - 0.5w

6² - 0.5(4)

36 - 2

34

w / 4 + 3(x + y)

4 / 4 + 3(5 + 6)

1 + 3(11)

34

Answer:

$149 - price of the skateboard

$52 - Carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $ 149 = $3

money left is $3

Answer:

that is a Trapezoid

Step-by-step explanation:

it has two lines that are parallel and two lines that are not. crd. MathGeek99

Answer:

I believe it is a Quadrilateral

Step-by-step explanation:

It's a quadrilateral because of how many sides it has and other stuff

Answer:

12

Step-by-step explanation:

Since given that:

x = 6 and y = 4

we can substitute:

xy - 3y

(6)(4)-3(4)       {6*4 = 24}

24 - 3(4)         {3*4=12}

24 - 12 = 12

Hence, the answer = 12

~lenvy~

Answer: 12

Step-by-step explanation:

 Given:

 xy - 3y

 Plug-in the values we know:

(6)(4) - 3(4)

 Multiply 6 by 4 and 3 by 4:

24 - 12

 Subtract:

12

                    xy - 3y = 12

From the given coordinates of point A(4, 0), and D (-4, 0), the area of the hexagon is 33.94 units square.

The given parameters are;

Shape of the quilt pattern = A regular hexagon

Coordinates of point A = A(4, 0)

Coordinates of point D = D(-4, 0)

Required;

The area of the hexagon

Solution;

The coordinates of the center of the hexagon, P = (0, 0)

A regular hexagon consist of six equilateral triangles.

The length of a side of the triangle = PA

Length of PA = 4 - 0 = 4

Therefore;

Length of a side of the triangle = 4

Height of the triangle = PA × sin(60)

Which gives;

Height of the triangle = 4 × (√3)/2 = 2•√3

Area of one triangle = (4 ÷ 2) × 2•√3 = 4•√2

Area of the 6 triangles is therefore;

A = 6 × 4•√2 = 24•√2

Area of the 6 triangles = Area of the hexagon

Therefore;

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Answer:

16months

=$1532

Step-by-step explanation:

Daito

780+47x=220+82x

780-220=82x-47x

560=35x

x=16

=16 months

Answer:

3

Step-by-step explanation:

Answer:

3 miles

Step-by-step explanation:

Range is the biggest number minus the smallest number.

First put the distance in order from least to greatest.

4 miles, 4 miles, 5 miles, 6 miles, 6 miles, 7 miles.

Now subtract the greatest and least amounts.

7 - 4 = 3

Answer:

True????????????????????

The statement that "An absolute value inequality can be solved using a union or an intersection depending on which sign it is" is true.

Absolute value inequalities are kind of inequality expressions which includes the absolute value symbol in the expression.

For example : |x - 5| < 4 is an absolute value inequality.

Given statement is that,

An absolute value inequality can be solved using a union or an intersection depending on which sign it is.

If an absolute value inequality has a sign as "> 0", then the solution contains every real numbers but not values which makes the inequality 0.

in this case, union is used.

Now, if the inequality is "<" or "≤" with a positive number, the we use the intersection.

Hence the given statement is true.

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Answer: 39

Step-by-step explanation:

The factors of 18 are: 1, 2, 3, 6, 9, 18

Add them together, and you get your answer.

Answer:

I believe its D

Step-by-step explanation: X and Y are both -3

Answer:

Step-by-step explanation:

Draw the third point at (0, 0). This would make the distance from (3,0) to (0,0) equal to 3, and the distance from (0,4) to (0,0) be 4.

Answer:

There is 43 20¢ in the coin bank.

Answer:

Circumference of the circle=383.32cm

Step-by-step explanation:

r= 61cm π = 3.142

Formula for the circumference of a circle=2πr

Therefore;

Circumference=2×3.142×61 = 383.32cm.

Answer:

5 × 30 L = 150 L

______________

Answer:

1, 7, 5, 9
7, 1, 9, 5

9, 5, 1, 7

But there are about 10 possible combinations.

Step-by-step explanation:

Answer: the answer is 40.5 cm

Step-by-step explanation:

first your gonna want to look at the numbers given and then solve.

Step-by-step explanation:

Question 2(Multiple Choice Worth 1 points)

(08.02 MC)

The function f(t) = 4t2 − 8t + 7 shows the height from the ground f(t), in meters, of a roller coaster car at different times t. Write f(t) in the vertex form a(x − h)2 + k, where a, h, and k are integers, and interpret the vertex of f(t).

f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 3 meters from the ground

f(t) = 4(t − 1)2 + 3; the minimum height of the roller coaster is 1 meter from the ground

f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 2 meters from the ground

f(t) = 4(t − 1)2 + 2; the minimum height of the roller coaster is 1 meter from the ground