Please help. Due in 30 mins!!

The revenue function is a quadratic equation and the graph of the function

has the shape of a parabola that is concave downwards.

The correct responses are;

Reasons:

The given function that gives the weekly revenue is; R = x·(82 - x)

Where;

R = The revenue in dollars

x = The number of lunches

(a) The revenue can be written in the form R = a·x² + b·x + c by expansion of the given function as follows;

R = x·(82 - x) = 82·x - x²

Which gives;

Where, the constant term, c = 0

(b) When 35 launches are sold, we have;

x = 35

Which by plugging in the value of x = 35, gives;

R = 35 × (82 - 35) = 1,645

(c) The given function for R is R = x·(82 - x) = -x² + 82·x

Given that the leading coefficient is negative, the shape of graph of the

function R is concave downward, and therefore, the graph has only a

maximum point.

(d) The form a·(x - h)² + k is the vertex form of quadratic equation, where;

(h, k) = The vertex of the equation

a = The leading coefficient

The function, R = x·(82 - x), can be expressed in the form a·(x - h)² + k, as follows;

R = x·(82 - x) = -x² + 82·x

At the vertex, of the equation; f(x) = a·x² + b·x + c,  we have;

[tex]\displaystyle x = \mathbf{-\frac{b}{2 \cdot a}}[/tex]

Therefore, for the revenue function, the x-value of the vertex, is; [tex]\displaystyle x = -\frac{82}{2 \times (-1)} = \mathbf{41}[/tex]

The revenue at the vertex is; [tex]R_{max}[/tex] = 41×(82 - 41) = 1,681

Which gives;

(h, k) = (41, 1,681)

a = -1 (The coefficient of x² in -x² + 82·x)

(e) The number of lunches that must be sold to achieve the maximum revenue is given by the x-value at the vertex, which is; x = 41

Therefore;

(f) The maximum revenue is given by the revenue at the vertex point where x = 41, which is; R = $1,681

Learn more about the quadratic function here:

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Answer: Well my friend, there is not enough info to sole the equation..

Step-by-step explanation:

From the given question we are asked to find the least common multiple of two given numbers. Here for this question, we will use the prime factorisation method and find the factors for the two given numbers and then we find the least common multiple for the numbers given. So, we proceed with our solution as follows.

2 | 5, 8

_______

2 | 5, 4

_______

2 | 5, 2

_______

5 | 5, 1

_________

1, 1

2×2×2×5 = 40

We should remember the concept of least common multiple, which means the smallest number that two numbers both can get to or which is the common multiple between two numbers. We should know that we have different method to find the least common multiple like listing the multiples, prime factorization and division

1. We can simply multiply 6.50 by 2!

6.50 x 2 = 13

The book cost $13

2. The easiest way to do this is to convert the fractions into decimals.

1/4 = 0.25

1/5 = 0.2

1/8 = 0.125

Add them together: 0.575!

Subtract this from 1: .425

Multiply by 100: 42.5

42.5% is your answer!

Hope this helps!

Answer: B

Step-by-step explanation:

Given A.P = 3,8,13,...,253

Common difference = 8-3 = 5

The AP from the end = 253, 248,245,...,13,8,3

First term from the end = 253

Common difference = 248-253 = -5

We know that

an = a+(n-1)d

t20 = 253+(20-1)(-5)

→ t 20 = 253 +(19)(-5)

→ t 20 = 253-95

→ t 20 = 158

20th term from the end of the AP = 158

ok done. Thank to me :>

Using the Fundamental Counting Theorem, it is found that the buyer has 180 choices.

Fundamental counting theorem:

States that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this question:

Then:

[tex]N = 5 \times 3 \times 2 \times 3 \times 2 = 180[/tex]

The buyer has 180 choices.

To learn more about the Fundamental Counting Theorem, you can take a look at https://brainly.com/question/25799621

Answer:

6ft

Step-by-step explanation:

The Dolphin is 8 feet apart from starting point along the water surface.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Equation: x²- 8x + 4y = 0

Now, solving for variable 'y' we get

y= (8x - x²) /4

y= 2x - x²/4

So, the Dolphin is 8 feet apart from starting point along the water surface.

Learn more about Equation here:

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#SPJ2

Step-by-step explanation:

you drew already the right things, you have everything.

so, what is the problem ?

the most common form of line equation is

y = ax + b

a is the slope of the line. it is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

b is the y-intercept (the y value when x = 0).

once we have the slope, we get b by using the coordinates of one of the given points as x and y in the equation and solve for b.

so, for the 2 marked points you showed correctly the differences :

x changes by +8 (from -4 to 4).

y changes by -2 (from 3 to 1).

so the slope is -2/+8 = -1/4

the y-intercept we also see directly in the chart : +2.

Answer:

  18 square units

Step-by-step explanation:

When one side is vertical or horizontal, it is convenient to find the height from the opposite vertex to that side. It is generally an integer number of grid squares.

Here, the height is 4 -(-2) = 6. The base length is 1 -(-5) = 6. That means the area is ...

  A = 1/2bh

  A = 1/2(6)(6) = 18 . . . . square units

_____

Alternate solution

If you want to go at this the hard way, you can find the length of LK and the distance of J to that line.

The length of LK is ...

  d = √((x2 -x1)^2 +(y2 -y1)^2) = √((4 -(-2))^2 +(3 -(-5))^2) = √(36 +64) = 10

The distance to line LK can be found by writing the equation of the line LK in general form:

  4x -3y -7 = 0

Then the distance formula for point (x, y) is ...

  d = |4x -3y -7|/√(4^2 +3^2)

  d = |4(-2) -3(1) -7|/5 = |-8 -3 -7|/5 = 3.6

Using the area formula with these dimensions gives ...

  A = 1/2bh = 1/2(10)(3.6) = 18 . . . . square units

Answer:

18 square units

Step-by-step explanation:

pls pls pls mark me as brainliest

Answer:

m=3/2

Step-by-step explanation:

Two points are shown

point 1: (0;-3). 4;3. -2-6

point 2: (2;0)

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{0 - ( - 3)}{2 - 0} [/tex]

[tex]m = \frac{3}{2} [/tex]

Answer:

hmmm

Step-by-step explanation:

hmmm

Answer:

y intercept is 6 and the rate of change is Y=3x+6

Step-by-step explanation:

Answer:

y intercept = 6

rate of change = -4

Step-by-step explanation:

the line hits the y axis at 6 so that is the y intercept

The line falls 4 and goes over 1

I hope this helps!!

Answer:

$1,747.75

Step-by-step explanation:

(12.7% = 0.127)

$2,002 x 0.127 = 254.25

$2,002 - 254.25 = $1,747.75

Answer:

√(4 - ( - 3))^2 + (2 - 1)^2

√(4 + 3)^2 + (2 - 1)^2

√49 + 1

√50

7.07 = 7.1 units

Answer:

y=arcsec(x) (C)

Step-by-step explanation:

The graph of y=arcsec(x) is equal to the graph shown in the question

Answer:

416

Step-by-step explanation:

you take 520 times .80

Answer:

how do I give the coordinates of the image

Step-by-step explanation:

Answer:

10x−2y

Step-by-step explanation:

Just ask!

Hope this helps. :)

[tex] \: \: \: \: \: \: [/tex]

[tex]10x - 2y[/tex]

Step-by-step explanation:

[tex]8x - 2y + x + x[/tex]

[tex] = \: \: \: \: 10x - 2y[/tex]

Step-by-step explanation:

hope it will help you......

Answer:

14

Step-by-step explanation:

4^2=16

16/2=8

8+6=14

Answer:

[tex]14[/tex]

Step-by-step explanation:

This equation would be easier to do if it was: [tex]6+\frac{4^2}{2}[/tex]

So first you have to cancel out: [tex]\frac{4^2}{2}[/tex] so that would become [tex]6+8[/tex]

Finally [tex]6+8=14[/tex]

There you go brainliest pls

Answer:

y=-2 is y intercept, graph opens upward like a smiley face

a=3 ,b=1, c=-2

Step-by-step explanation:

1.the graph opens upward since 3x^2 is positive

2.the graph corsses the Y axis when x is zero, so setting x equal to zero we find...

3(0)^2 + (0) -2 =y so y=-2 is y intercept

y=ax+bx+c

y=3x^2+x-2

a is represented by 3

b is 1 since x is positive

c is -2

Answer:

7

Step-by-step explanation:

1/3*(-18) + 1 = 7

Just plug in the x which is -18, and solve with a calculator.

Hope this helps!

Answer:

I dont quite understand the question could you clarify? What are you trying to ask? how many shirts to break even? Im not quite understanding I'd be more than happy to help if you re worded the question!

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Part A: 8 ribbons

Part B: see below

Step-by-step explanation:

first 5 1/3 = 16/3

[tex] \frac{16}{3} \div \frac{2}{3} \\ = \frac{16}{3} \times \frac{3}{2} \\ = \frac{48}{6} = 8[/tex]

the answer is 8 dude!

Answer:

-6

Step-by-step explanation:

f(x)=2x^2+8x

f(-1)=2(-1)^2+8(-1)

f(-1)=2(-1)(-1)-8

f(-1)=2(1)-8

f(-1)=2-8

f(-1)=-6

Answer:

The distance from the flagpole to the tree is 27 ft

Step-by-step explanation: