These are the cost and revenue functions for a line of trumpets sold at a music store: RX) = 76x -0.25x2 C(x) = -7.75x + 5,312.5 Based on these functions, what is the maximum profit that can be made, to the nearest dollar? A. $1,469 B. $1,702 C. $3,375 D. $5,776​

Answer:

Last option, a translation of 1.5 units left, 0.5 unit up, then a reflection across the x-axis

Step-by-step explanation:

Let's pick any random point. So let's just chose point L. Comparing point L to point L', we can already see that the options given are incorrect. For example,  the first option with just translations is incorrect because when we do translate point L 1.5 units left and then 1.5 units down, it does not line up with point L'. For the second and third options, we know that L(-2.5, 1.5) and L'(-4,-2). Therefore, there must be some sort of shift left, right, up, or down, to go from coordinates with decimals to coordinates with whole numbers, leaving the last option, D, as the correct one.

Answer:

$82.22

Step-by-step explanation:

Price of meal before discount: $78.31

They leave a 20% tip that applies to the cost of the meal before the discount, so the tip is 20% of $78.31.

Now we calculate the amount of the tip.

20% of $78.31 =

= 0.2 * $78.31

= $15.66

The tip is $15.66. We will apply it later after we use the discount.

The meal's original price was $78.31 before the discount.

The discount is 15%. Now we find the amount of the discount.

15% of $78.31 =

= 0.15 * $78.31

= $11.75

The discount due to the coupon is $11.75

The final price of the meal is the original price, minus the discount, plus the tax.

final price = $78.31 - $11.75 + $15.66 = $82.22

Answer:

x + y ≤ 30

2.5x + 2.75y ≥ 44

Answer:

Step-by-step explanation:

x+61/100

The width of the the rectangular picture frame is equals 8.5 inches

A rectangle has four sides, but because the sides are paired, there are only two unique dimensions. Conventionally, the width is the shortest of these two dimensions, but when the rectangle is presented as lying on its side, the horizontal side is usually called the width.

Given here, the formula as A = l × w  and the length l = 11 inches and area of a rectangular picture frame is 93.5 square inches

thus, using the formula we get   ⇒ 93.5 = 11 × w

                                                     ⇒ w =  93.5/11

                                                     ⇒ w = 8.5 inches

Hence, The width of the the rectangular picture frame is  8.5 inches

Learn more about the rectangle here:

https://brainly.com/question/29123947

#SPJ2

Answer:

x = 18°

Step-by-step explanation:

The sum of interior angles of any polygon is given by:

180(n -2) , where n is the number of sides of that polygon.

So for this pentagon;

The sum of its interior angles = 540°

∴

90 + (9x -6) + (3x + 23) + 95 + (7x - 4) = 540

19x + 198 = 540

19x = 540 - 198 = 342

x = 342 ÷ 19 = 18°

Answer:

Constant of proportionality k = 3.5

In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.

Step-by-step explanation:

We need to find what is the constant of proportionality, and what does it mean in this situation?​

Constant of proportionality can be defined as:

[tex]if\:y\:\alpha \:x\:then\:y=kx[/tex]

Where k is constant of proportionality

It tells that there is constant increase in the value of y.

Looking at the graph,

we get Number of Quarts (x) = 1, Amount Paid (y)= 3.5

so, finding constant of proportionality

[tex]y=kx\\3.5=k(1)\\k=3.5[/tex]

Now, Number of Quarts (x) = 2, Amount Paid (y)=7

so, finding constant of proportionality

[tex]y=kx\\7=k(2)\\k=\frac{7}{2}\\k=3.5[/tex]

So, for any value of x and y, the value of k remains constant i.e 3.5

So, constant of proportionality k = 3.5

In our case, We can say that Amount of 1 quart is $3.5, and as the number of quarts bought are increased the amount paid is also increased at rate of $3.5.

Answer:

circle is pir^2. Triangle is 1/2b*h and rec is B*H

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given functions are,

f(x) = 2x - 3

g(x) = x³ - 2

h(x) = x² - 3x + 5

(10). f(4) = 2(4) - 3

           = 5

    g(-2) = (-2)³ - 2

             = -8 - 2

             = -10

    f(4) + g(-2) = 5 -10 = -5

(11). g(3) = 3³ - 2 = 25

     h(1) = 1² - 3(1) + 5

            = 1 - 3 + 5

            = 3

      g(3) - h(1) = 25 - 3 = 22

(12). f(2) = 2(2) - 2 = 2

      h(-3) = (-3)² - 3(-3) + 5

              = -27 + 9 + 5

              = -13

       f(2).h(-3) = 2(-13) = -26

Answer:

60

Step-by-step explanation:

He needs to write 300*9 pages which is 2700

We know that he writes 45 pages a minute

his speed can be shown through the following equations

45x=pages typed

where x=minutes

so we set up our problem

45x=2700

we divide by 45 and get x=60

Answer:

If i'm not mistaken the answer should be a 35% discount.

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

$95 × 0.35 = $33.25

$95 - 33.25 = $61.75

Answer:

Step-by-step explanation:

12/8=1.5

1.5*97=145.5mg

Answer:

The  point ( 12,5) reflected about y-axis then the Point C¹( -12,5)

Step-by-step explanation:

Explanation:-

Given the point (12,5)

The point ( x,y) reflected about y-axis then the transformed to

(x,y)→(-x,y)

Now the given point ( 12,5) reflected about y-axis then the transformed to

(-12,5)

Answer:

sin(theta) = 90 - cos(theta)

cos(theta) = 90 - sin(theta)

Answer:

1476

Step-by-step explanation:

this is a troll question right....[:

LETS DO THIS

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\oooooo/

pepeJAM im baby kata (: XD

Step-by-step explanation:

Just take the total number of students (123) and multiply by how many flowers 1 student makes (12 each), and you get 1476 as your answer.

Answer:

-30

Step-by-step explanation:

Multiply 5 by -6

Answer:

- 30 because

Step-by-step explanation:

5(-6) = -30/1 = -30

Spelled result in words is minus thirty.

How do you solve fractions step by step?

Multiple: 5 * (-6) = -30

Answer:

y = -3x +7

Step-by-step explanation:

Slope intercept form is y = mx + b, and needs two things, the slope (m) and the y-intercept (b) of a line. The slope is the rise/run and the y-intercept is where the line crosses the y-axis.

From the graph, it is easy to see the y-intercept (b). The line crosses the y-axis at 7.

Next, you need to fine the slope. All you have to do is pick a point on the line and plug it into the equation y = mx + b, since you already have the y-intercept.

Let's pick an easy point like (2, 1). x = 2 and y = 1

y = mx + b

1 = m(2) + 7

To isolate m, you can first subtract 7 on both sides.

Simplifying, you would get:

-6 = m(2)

To solve for m, you just need to divide both sides by 2.

So, m = -3.

Now, you have everything you need! m = -3 and b = 7.

The equation is y = -3x +7.

9514 1404 393

Answer:

Step-by-step explanation:

a) The diagonals of a parallelogram bisect each other. So, the length of one half is equal to the length of the other half.

  IE = IG

  2x -2 = 2

  x -1 = 1 . . . . . . divide by 2

  x = 2 . . . . . . .  add 1

__

b) Sides of a parallelogram are parallel, so each diagonal can be considered to be a transversal. Alternate interior angles where the transversal meets parallel lines are congruent. (Essentially, the figure is symmetric about its center, where the diagonals cross.)

  ∠IGF ≅ ∠IEH = 58°

  ∠IFG ≅ ∠IHE = 49°

Answer:

54 is a multiple of 6

Step-by-step explanation:

Step-by-step explanation:

54..

_______________________

Answer:

40% apples

train going 80 miles per hour

Answer:

It is C because I am sure it is a function

Answer:

loan amount  = $307,000

Step-by-step explanation:

given data

monthly payment = $1,980

monthly loan constant = 6.45

to find out

loan amount

solution

we get here loan amount that is express as

loan amount = ( monthly payment ÷ monthly loan constant ) × 1000 .........1

put here value

loan amount = ( 1980 ÷ 6.45 ) × 1000

loan amount  = $307,000

Answer:

100 and 2

Step-by-step explanation:

If we are trying to reduce the radical, we know that 100 times 2 is 200.Therfore,Those are two possible numbers to reduce the radical.

                                             Hope this is right !

Answer:

100 and 2

Step-by-step explanation: