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
what is 7.42 divded by 1.75
Answer:
4.24
Step-by-step explanation:
the calculator says otherwise (but yea its 4.24
Emma Drew 13 hearts and 20 circles what is the ratio of hearts to all shape
9514 1404 393
Answer:
13 : 33
Step-by-step explanation:
hearts : all shapes = hearts : (hearts + circles) = 13 : (13 +20) = 13 : 33
solve similar triangles (advanced) solve for x
Step-by-step explanation:
this is the answer of given question
please help i will give barinliest
Please help 15 points
Answer:
12 %
Step-by-step explanation:
3/25 = 0.12
0.12 x 100 = 12
Answer:
12%
Step-by-step explanation:
3/25=0.12
0.12 turnes into 12%
NEED AN ANSWER QUICKK Ayo and Ria are both travelling by train.
Ayo's train travels 90 km in 50 minutes.
Ria's train travels 476 km.
It leaves at 14:05 and arrives at 17:35.
Work out the difference, in km/h, between the average speed of their trains.
Answer:
28
Step-by-step explanation:
I guessed it right on hegarty maths and this was the answer
If 3/10 = 30/100, then 4/10 = ___/100
Answer:
40/100
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
If 3/10 = 30/100, then 4/10 = 40/100
John has 4.5 x 10^6 dollars in his bank account. Jacob has 1.3 x 10^7 dollars in his bank account. who has more money and by how much
Answer:
Jacob has more. $8,500,000 more.
Step-by-step explanation:
4.5 x 10^6 can be expressed as 4500000. and 1.3 x 10^7 can be expressed as 13000000. subtract, and you get %8,500,000
flocabulary multplying fractions
Answer:
don't know what you need
Step-by-step explanation:
3 over x plus 6 over y
Answer:
[tex]\frac{3}{x}+\frac{6}{y}[/tex]
The polygons
are similar. Find the value of x.
10
2x - 19
7
14
14
answer:
14 is two times greater than 7.
so,
10 is two times greater than 2x - 19
10 = 2(2x - 19)
10 = 4x - 38
48 = 4x
x = 12
-- please mark the brainliest and click the thanks button if correct :)
There was 1 L of water in the water bottle tom drake 200 mL of water how many liters of water are left?
Answer:
0.8 liters
Step-by-step explanation:
1l=1000 mlml=1000 ml-200ml=800ml=0.8L
Answer:
shouldn't it be 800 mL
Step-by-step explanation:
cause there are 1000mL in 1 liter
Solve the equation 2x +45 = 9. Explain the steps
and properties you used.
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2x+45=9 Equation/Question
Step 2
2x+45=9 Simplify
Step 3
2x+45=9 Subtract 45 from sides
2x=-36
Step 4
2x=-36 Divide sides by 2
-18
Answer
x=-18
Hope this helps
Answer:
Step-by-step explanation:
I can help
Step 1
2x +45 = 9 Simplify
Step 2
2x +45 = 9 you gotta subtract 45 from each sides
2x=-36
Step 3
2x=-36 Divide the sides by 2
Answer
x=-18
hope this helps
s'ams mother is twice as old as sam in 12 years sam will be as old as his mother was 12 years ago how old are sam and his mother now? sam is?years old his mother is ? years old
Answer:
Sam is 24 years old and his mother is 48 years old.
Step-by-step explanation:
Equations
Let's call
x = Sam's current age
Since Sam's mother is twice as old as Sam:
2x = Sam's mother current age
x + 12 = Sam's age in 12 years
2x - 12 = Sam's mother age 12 years ago
These two last expressions are equal:
x + 12 = 2x - 12
Subtracting x and adding 12:
x = 24
2x = 48
Sam is 24 years old and his mother is 48 years old.
Answer:
Sam is 24 and his mom is 48
Step-by-step explanation:
manda made $270 for 18 hours of work. At the same rate, how many hours would she have to work to make $165?
A car's odometer read 78,354 miles after 2 hours. It read 78,468 miles after 4 hours. What was the car's average speed in miles per hour?
Answer:
.
Step-by-step explanation:
I try to find it but I could PLEASE help I’ll say the answer when I’m done
Answer: false
Step-by-step explanation:
Convert the following recipe for 12 portions so that it yields 60 portions.
Stir Fried Chicken
3 lb chicken 6 oz. soy sauce 1 lb. green peppers
1/2 lb. scallions 2 oz ginger
2 cups Water
Answer:
15lb chicken 30 oz. soy sauce 5lb. green peppers
2 1/2 lb. scallions 10 oz. ginger
10 cups Water
To make 60 proportions of Stir Fried Chicken requires 15lbs of chicken,
30 oz of soy sauce, 3 lb. green peppers, 5/2 lb scallions, 10 oz ginger, and 10 cups Water.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given 12 portions of Stir-Fried Chicken requires 3 lb chicken 6 oz.
soy sauce 1 lb. green peppers
1/2 lb scallions
2 oz ginger
2 cups Water.
∴ To make 60 proportion or (12×5) proportion we have to multiply each ingredient by a factor of 5.
So, 60 proportions of Stir-Fried Chicken requires (3×5) = 15lbs of chicken,
(6×5) = 30 oz of soy sauce, (1×3) = 3 lb. green peppers, (1/2×5) = 5/2 lb scallions, (2×5) = 10 oz ginger and (2×5) = 10 cups Water.
learn more about ratios and proportions here :
https://brainly.com/question/26974513
#SPJ5
Tara and Edward each painted their bedrooms. They finished in the same amount of time, Even thought Edwards bedroom is bigger. They have 4 hours to start painting the basement before dinner is ready. Who will likely paint a larger part if the basement?
Answer:Edward
Step-by-step explanation:
82 - 2x - 10 factor each polynomia
l
HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE
Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid
the sides of a triangle can be represented by 2x, 4x-7, 16+x. If the perimeter is 65, whats the length of the shortest side of the triangle?
Michael has 12 yards of yellow fabric and 6 yards of purple fabric. how many inches of yellow and purple fabric does Kelly have.
Answer:
648 inches
Step-by-step explanation:
12 + 6 = 18 yards
there are 36 inches in 1 yard
so there is 648 inches in 18 yards
Answer:
she has 18 yards of fabric all together
Please answer the geometry question
Answer:
300 feet
Step-by-step explanation:
state if each pair of ratios forms a proportion 4/3 and 16/12 help me
Answer:
if you multiply 4/3 by 4/4 you get 4/16.
Step-by-step explanation:
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what is the remainder when 849,400 is divided by 216
Answer:
The remainder is 88
Step-by-step explanation:
The Remainder of a Division
We have to find the remainder when we divide 849,400 by 216.
It could be found by doing the long division, but we'll do it with a calculator.
Entering the division in the calculator we get:
849,400/216=3,932.4074...
We take the whole part of the quotient (3,932) and multiply it by the divisor:
3,932*216=849,312
The remainder is obtained by subtracting 849,400-849,312=88
The remainder is 88
Laura is saving money to buy a game. The game cost $36, and so far she has saved three- fourths of this cost. How much money has Laura saved
Answer:
27
Step-by-step explanation:
3/4*36=27
therefore the answer is
27
brainlist if you help me fill out table
Answer:
2.0 and 4.8
Step-by-step explanation:
each 5 is adding 0.4 and each 10 is adding 0.8. if you take the 20 and the number 1.6, multiply those by 3, and you will get 4.8 for the slot 60. for the slot 25, just add 0.4 to 1.6. hope this helped :)
The two figures are similar. Identify the similar sides, and then write the similarity statement. Fill in each blank, then complete the sentence by explaining your reasoning.
• AB is similar to ____ because:
• AC is similar to ____ because:
• CB is similar to ____ because:
Step 2: Write the similarity statement.
Answer:
- AB is similar to YZ because all the sides from triangle ABC got multiplied by 3/4, and 40 times 3/4 = 30.
- AC is similar to YX because 50 times 3/4 = 37.5.
- CB is similar to XZ because 60 times 3/4 = 45.
hope this helps!