Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?​

Answer:

y =  -2*x² + 60*x

Step-by-step explanation:

The general form of a quadratic function is:

y = a*x² + b*x + c

We need to determine a  ;  b  ;  and c. For that we have three conditions therefore

Condition 1       at  x = 12 $ each T-shirts kimmie sells 36 units, then she gets

12* 36 = 432 $    or      y  =  432   and

432 = a(12)² + 12*b + c      or   432 = 144*a + 12*b + c

Second condition   selling at 13 $ each T-shirt  she sells 34 , then

13*34 = 442

442  = a(13)²  +  13*b  + c    or   442 = 169*a + 13*b + c

And the third condition

11*38  = 418

418 = a* ( 121)  + 11*b  + c         418  =  121*a  +  11*b  + c

We have a three equation system

432 =   144*a + 12*b + c         (1)

442  =   169*a + 13*b + c       (2)

418 =    121*a  +  11*b  + c       (3)

We need to solve it for a,  b  and  c

Subtracting (2) - (1)        10 = 25*a  +  b    and subtracting (2) - (3)

24 = 48*a  + 2*b

Then       b  =  10 -  25*a         and     24  =  48*a + 2*( 10 - 25*a )

24  =  48*a +  20  - 50*a

24 -  20  =   -2*a

4  =  - 2*a    

a  = - 2      and   b =  10 - 25*( -2)     b = 60

Finally  c   is:    432 =   144*a + 12*b + c  

432  =  144* ( -2) + 12*60  + c

432  = -  288  +  720  +  c

432  = 432  + c

c =  0

The quadratic function is:

y =  -2*x² + 60*x

Sketch and shade the region in the xy-plane defined by the equation or inequalities.

|x| < 7 and |y| < 3 g

Which of the following equations can be used to find three consecutive odd integers whose sum is 147?

n+n+1+n+3=147
n+n+1+n+2=147
n+n+n=147
n+n+2+n+4=147

Solve and Share
Tyrone partitioned a rectangle into thirds. Sally partitioned a rectangular of the same size
into fourths. How could you partition a rectangle of the same size so that you see both
thirds and fourths?

d) Did you have to make an exchange?
Rosie had 56 pencils to share between 4 pots

6x + 7 = -5
How to solve

the volume of a rectangular prism is 72 cubic centimeters. the prism is 2 centimeters wide and 4 centimeters high.

Will make you brainlistt if it is right

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Joanie has 15 hair ribbons. She has 7 less hair ribbons than her friend, Sara. Which equation
can be used to determine the number of hair ribbons Sara has, s?
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7 - S =15
7s = 15
S + 7 = 15

Solve the Equation

P + 75 = 100.

PLEASE I NEED IT ASAP

find the value of t if t - 7 = 12

14/15 divided by 7/5

1) How many terms does the expression r- 9 + 5.5 have? Explain.​

Given that
P
=
x
+
y
.
Find
P
when:
x
=
22
and
y
=
10

Pls help me ASAP I’ll brainlest for the right answer

Define altitude in a geometric way. (in geometry)

Which of the following sets of possible side lengths forms a right triangle?

11, 60, and 61
6, 12, and 13
9, 40, and 45
12, 35, and 38

where are the heck are you getting 18

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A 120 120 -volt battery is connected to a circuit with 30 30 ohms of resistance. The current in amperes c c flowing through the circuit can be found using the equation 30c=120 30c=120 . How many amperes of current are there in the wire?

Luigi has a piece of cloth that is 42 inches long. He wants to divide it into 3 equal pieces. What is the length of each piece?​

Kara sells bracelets for $5 each. She represents the price of x bracelets with the expression 5 x. Which expression represents another way Kara could determine the price of x bracelets?

a: x 10/2
b: x+5
c:(x divided by 5) times 5
d: (x divided by 2 ) times 10

Two students drive separate cars.
• Student 1 begins driving 90 minutes before student 2.
• Student 1 drives at a speed of 48 miles per hour.
• Student 2 drives at a speed of 64 miles per hour.
For how many hours has student 1 been driving when both students have driven exactly the same distance?
O 1 hour 30 minutes
3 hours 0 minutes
6 hours 0 minutes
7 hours 30 minutes

how do i do this :(

Please someone help?

(05.05) On a coordinate plane the coordinates of vertices R and T for a polygon are R(-7, 3) and T(3,3). What is the length of Side RT of the polygon?
4 units
6 unts
10 units
15 units
PLEASE HELP!!

It takes half of a yard of ribbon to make a bow. How many bows can be made with 7 yards of ribbon?

Last night you went to a restaurant, and the bill for 3 adult meals and 2 children’s meals was £73.

Last week you went to the same restaurant and paid £89 for 2 adult meals and 5 children’s meals.

Let a = cost of an adult meal,

and c = cost of a child meal.

A) Form an equation for last night’s meal

? = ?

B) Form an equation for last week's meal

? = ?

Given: Point C is the midpoint of AB¯¯¯¯¯.

AC=7x−10; CB=3x+10

Prove: AC=25



Drag and drop reasons into the boxes to correctly complete the proof.



Statement Reason
Point C is the midpoint of AB¯¯¯¯¯. Given
AC=7x−10; CB=3x+10 Given
AC=CB Definition of midpoint
7x−10=3x+10 Response area
4x−10=10 Response area
4x=20 Addition Property of Equality
x=5 Response area
AC=7(5)−10 Substitution Property of Equality
AC=35−10 Simplify.
AC=25 Simplify.

- 6х + Зу = 15 solve for y?​