8. A bakery is collecting data to investigate how changing the price charged for a loaf of bread
affects the bakery's daily profit. The graph shows the data the bakery has collected.
Bread Price vs. Daily Profit
1000
800
600
.
Daily Profit (Dollars)
.
.
400
.
.
200
0
1.00 2.00 3.00 4.00 5.00 6.00 7.00 8.00
Price for One Loaf of Bread (Dollars)
Which quadratic function is the BEST model for the data?
A
8(1-4) - 800
В.
86
4) - 800
С
20001 - 1) --- 800
D
3000
4)- 800
Answers
The function that best models for the data is y = -200 (x-4)^2 + 800.
What is a function?A function is a mathematical expression that describes how factors are related. In this case, how the price is related to the profit.
How to determine if a function models the data?The best way to determine this is to solve the expression and verify if the answer is correct.
For example, we know that at 4 (x) dollars, the daily profit is $800 (y). Let's now the different options:
A.
y= -8 (x+4)^2 + 800y= -8 (4+4)^2 + 800y= -8 (8)^2 + 800y= -8 (36) + 800y=-8 (288) + 800y= -2304 + 800y= -1504B.
y= -8 (x-4)^2 + 800y= -8 (4-4)^2 + 800y= -8 (0)^2 + 800y= -8 (0) + 800y= 0 + 800y= 800C.
y= -200 (4+4)^2+ 800y= -200 (8)^2 + 800y= -200 (36) + 800y= -200 (36) + 800y= -7200 + 800y= -6400D.
y= -200 (x-4)^2 + 800y= -200 (4-4)^2 + 800y= -200 (0)^2 + 800y= -200 (0) + 800y= 0 + 800y= 800This means B and D are possible options, however, when verified with other results such as $6 the correct one is option D.
Learn more about bakery in: https://brainly.com/question/16421624
The quadratic equation is given by y = -200x² + 1600x - 2400.
Quadratic equation formulaThe standard form of the quadratic equation is:
y = ax² + bx + c
Where a,b,c are constants.
Let y represent the daily profit for x bread price.
At point (2, 0):
0 = a(2)² + b(2) + c
4a + 2b + c = 0 (1)
At point (4, 800):
800 = a(4)² + b(4) + c
16a + 4b + c = 800 (2)
At point (6, 0):
0 = a(6)² + b(6) + c
36a + 6b + c = 0 (3)
From all the equations:
a = -200, b = 1600, c = -2400
The quadratic equation is given by y = -200x² + 1600x - 2400.
Find out more on quadratic equation at: https://brainly.com/question/1214333
Related Questions
The graph of triangle ABC is shown below:
What is the area, in square units, of triangle ABC?
Answers
Answer:
36 square units
Step-by-step explanation:
Height = 9
Base = 8
Area of a triangle = A = 1/2bh
Plug in
1/2 (8) (9) = 4 x 9 = 36
In 2013 number of students in a small school is 284.it is estimated that student population will increase by 4 percent
Write form for student population
Estimate population in 2020
Answers
The situation can be modeled by a geometric sequence with an initial term of 284. The student population will be 104% of the prior year, so the common ratio is 1.04.
Let \displaystyle PP be the student population and \displaystyle nn be the number of years after 2013. Using the explicit formula for a geometric sequence we get
{P}_{n} =284\cdot {1.04}^{n}P
n
=284⋅1.04
n
We can find the number of years since 2013 by subtracting.
\displaystyle 2020 - 2013=72020−2013=7
We are looking for the population after 7 years. We can substitute 7 for \displaystyle nn to estimate the population in 2020.
\displaystyle {P}_{7}=284\cdot {1.04}^{7}\approx 374P
7
=284⋅1.04
7
≈374
The student population will be about 374 in 2020.
What figure has one endpoint and continues without end on one direction?
Group of answer choices
A. line
B. line segment
C. ray
D. point
Answers
Answer:
Step-by-step explanation:
b line segment
The height of a rocket, in feet, t seconds after it is launched is modeled by the function h(t) = -16t2 + 125t + 24. Which interval has the largest change in height?
A. 0-1 second
B. 3-4 seconds
C. 5-6 seconds
D. 7-8 seconds
Answers
Answer:
a
Step-by-step explanation:
trust
find the slope of the line through the points (10,6) and (-1,8)
Answers
Answer:
-2/11
Step-by-step explanation:
Need help please help me
Answers
A dog trainer compared mean numbers of lessons for two
groups of dogs to learn a new trick.
Mean number of lessons Mean Absolute Deviation (MAD)
Group A 5
Group B 3
2
2
Which statement about the data is true?
The mean number of lessons for group A is greater than the mean
for group B by 1 MAD
B. The mean number of lessons for group A is greater than the mean
for group B by 2 MAD
C. The MAD for group A is more than the MAD for group B
D. On average, the dogs in group B required more lessons than the
dogs in group A
Answers
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD
Step-by-step explanation:
Given the table :
_______Mean number of lessons ____ MAD
GRP A _____ 5 ___________________ 2
GRP B _____ 3 ___________________ 2
With group A having a mean number of lessons of 5 and Group B having a mean number of lessons of 3
Mean of A > mean of B ; hence, Group A dlgs tool more lessons to learn the trick than group B dogs.
The mean absolute deviation (MAD), measures how far a value is from the mean
Difference in mean number of lessons :
5 - 3 = 2
2 lessons ;
Number of mean absolute deviations:
Difference / MAD value = 2 / 2 = 1
Answer:
The mean number of lessons for group A is greater than the mean for group B by 1 MAD.
Step-by-step explanation:
Test approved
At a certain conference the information technology session and the social media session occur at the same time so it is impossible for an attendee to sit in on both sessions. If the probability that an attendee sits in on the information technology session is 0.11, and the probability that an attendee sits in on the social media session is 0.62, what is the probability that an attendee sits in on the information technology session or the social media session?
Answers
Answer:
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Step-by-step explanation:
What is the probability that an attendee sits in on the information technology session or the social media session?
They cant be in both sections simultaneously, so this probability is the sum of each probability.
0.11 = 11% probability that an attendee sits in on the information technology session
0.62 = 62% probability that an attendee sits in on the social media session
0.11 + 0.62 = 0.73
0.73 = 73% probability that an attendee sits in on the information technology session or the social media session.
Solve the equation. The symbol "^" mean "raised to the second power"
C^2=28.2+42.1
Answers
Answer:
Step-by-step explanation:
c^2=28.2 + 42.1
SOLVE FOR A
A=logc (703/20), c ≠ 1 and C > 0
SOLVE FOR C
{ c = - (700/20) 1/a, A ≠ 0 and Numberator (A) bmod 2 = 0 and denominatior (A)bmod 2=1 SOOOOOOO a ≠ 0
I’m Sorry But here’s An Other One :’)
Answers
Answer:
32.34
Step-by-step explanation:
9.35 + 9.35 + 6.82 + 6.82=32.34
Your welcome.
A basketball player has a 60% chance of making each free throw. What is the probability that the player makes exactly
three out of six free throws?
Answers
9. What is the volume of this cube? (2 pts.) Show your work here.
Answers
Answer:
Volume = 27 cubic units
Step-by-step explanation:
First, the formula of volume is l x h x w.
Second, the l, h, and w, are all 3, so to get your answer you do 3 x 3 x 3 which equals 27.
Hope this helps!
Highest common factor of 15 30 and 45
Answers
Step-by-step explanation:
I believe it is 15...all the numbers can be divided by 15, since 15 is the smallest number it is also the highest common factor only because 30 and 45 can be divided by 15
.......hope it helps!
Answer:
15
Step-by-step explanation:
Find the prime factors for each number as:
45 =3 × 3 × 5
30 = 2 × 3 × 5
15 = 3 × 5
Now identify the common factors and determine the GCF:
Therefore:
HCF = 3 × 5 = 15
Help please!
Factoring Quadratics
Factor the following quadratic expressions into two binomials. Show your work.
1. x + 34x + 64
2. x - 14x + 40
3. X2 + 8x - 48
4. x2 - 17% - 60
5. 2x + 13x + 20
6. 5x? - 13x + 6
7. 8x + 14x - 15
8.-8x? - 20x + 12
Answers
Answer:
Step-by-step explanation:
Sry but I only did 1,2,5,6,7&8
But am not sure if am correct just try
Help please!! I’ll give best answer brainliest!!
Answers
Answer:
D, The last one
Step-by-step explanation:
Ryan has 8 kittens. Two are white. What fraction of the kittens are not white? Write in simplest form
Answers
Answer:
3/4
Step-by-step explanation:
If 2 out of 8 of the kittens are white, than 6 aren't white. That fraction would be 6/8 but when you simplify you get 3/4.
The answer is 3/4 of the kittens are not white.
This a simplifed version of 6/8 which is the complement of 2/8, the amount of white kittens.
Hope this helps, if not, comment below please!!!
:L
The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day. When the length is 10 meters and the width is 23 meters, then how fast is the AREA changing
Answers
Answer:
[tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Rectangle: A = lw
l is lengthw is widthCalculus
Derivatives
Derivative Notation
Implicit Differentiation
Differentiation with respect to time
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle l = 10 \ meters[/tex]
[tex]\displaystyle \frac{dl}{dt} = 4 \ m/day[/tex]
[tex]\displaystyle w = 23 \ meters[/tex]
[tex]\displaystyle \frac{dw}{dt} = 1 \ m/day[/tex]
Step 2: Differentiate
[Area of Rectangle] Product Rule: [tex]\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}[/tex]Step 3: Solve
[Rate] Substitute in variables [Derivative]: [tex]\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)[/tex][Rate] Multiply: [tex]\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day[/tex][Rate] Add: [tex]\displaystyle \frac{dA}{dt} = 102 \ m^2/day[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Implicit Differentiation
Book: College Calculus 10e
Ms. Smith mixes orange juice with seltzer in a ratio of 3:1. If she uses 48 ounces of orange juice, how many ounces of seltzer does she need?
Answers
Answer:
16 oz
Step-by-step explanation:
the ratio is 3 oz of oj to 1 oz of seltzer.
I pretty much just divided 48 by 3.
I hope this is correct and I hope it helps you!
Name the two congruent triangles
Answers
Answer:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Step-by-step explanation:
The diagram given indicates the following:
<E ≅ <E (vertical angles)
AE ≅ DE
BE ≅ CE
Thus, an included angle, <E, and two side lengths, AE and BE, in ∆ABE are congruent to an included angle, <E, and two corresponding side lengths, DE and CE, in ∆DCE. By the SAS Congruence Theorem, both angles are congruent to each other.
Therefore:
∆ABE ≅ ∆DCE by SAS Congruence Theorem.
Please help me ASAP
Answers
at what rate per annum a sum of Rs 25000 amount to Rs 26250 in 6 months.
Answers
Answer:
Rate = 10%
Step-by-step explanation:
Given:
Amount deposit = 25,000
Amount get = 26,250
Time = 6 month = 6 / 12 = 0.5 year
Find:
Rate
Computation:
Interest = Amount get - Amount deposit
Interest = 26,250 - 25,000
Interest = 1,250
Interest = P x R% x T
1,250 = 25,000 x R% x 0.5
Rate = 10%
Please help my daughter has been stuck on this for the pass hour now
Answers
Answer:
algebraic expression: 3x + 2b
coefficients: 3 and 2
variables: w and b
# of terms: 2
constant: 0
algebraic expression: 6xy - 2c + 4
coefficients: 6 and -2
variables: x, y, and c
# of terms: 3
constant: 4
algebraic expression: 2/3 y - 3p
coefficients: 2/3 and -3
variables: y and p
# of terms: 2
constant: 0
Answer:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
Step-by-step explanation:
Okay, lets break this down.
An Algebraic expression is not meant to be solved, but rather used to determine the various components inside of it to better understand how to solve equations later on. Although for now lets look at these problems. :
A Coefficient in terms of algebra, is the number before a variable. In other terms, a coeffiecient is the number before the letter such as 3w. Looking at 3w we see that there are two parts: 3, and w.
The number 3 is the coefficient while the variable is the letter w. Variables are always the letters.
Variable: A letter used to determine an unknown value such as x
Now a term is a single mathematical expression. It may be a single number (positive or negative), or a single variable ( a letter). (Can also be a coeffient with a variable multiplied or divided by one another as such :
[tex]3w = 3*w\\\frac{3}{w} = 3 / w[/tex]
Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.
Now with that said, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.
With all of that said, lets look at the problems given:
Problem 1:
Coefficients are : 3 & 2
Variables are: w & b
Number of terms: 2
Constant: none
Problem 2:
Coefficients are : 6 & -2
Variables are: xy & c
Number of terms: 3
Constant: 4
Problem 3:
Coefficients are : [tex]\frac{2}{3}[/tex] & -3
Variables are: y & p
Number of terms: 2
Constant: none
I would be happy to help you again in the future, and hope that this provide you with some clarification. Have a nice day!
Graph the line with the given slope that passes through the given point.
(a) slope: 2 point: (1, 3)
Answers
Answer:
y= 2x + 3/2
Step-by-step explanation:
First, place a point on (1,3).
Since slope is rise/run, move your pencil up 2 units and to the right one. Place a point there. Repeat until you reach your desired length.
A rectangular prism has a length of 1 1/4 centimeters, a width of 4 centimeters, and a heigh of 3 1/4 centimeters What is the volume of the prism? Enter your answer in the box as a simplified mixed number or a decimal
Answers
Answer:
Step-by-step explanation:
V=lbh=1 1/4×4×3 1/4
=5/4×4×13/4
=65/4
=16 1/4 cm³
=16.25 cm³
Volume of a rectangular prism can be found by multiplying all three dimensions of the prism together: V = lwh
Ava bought 2 sandwiches for a total of $5.25, a bowl of soup for $3.00, and a bag of chips for $1.25. How much change did she get back if she paid with a $20.00 bill?
Answers
Answer:
Step-by-step explanation:
5.25
3.00
1.25
_____
$ 9.50
- 20.00
_______
$10.5
Help fast pleaseeeee
Answers
we will find the area of triangle with sides 5y,6y and 9y using herons formula
Which equation can be used to describe the pattern in the table
Answers
Answer:
I feel like its C.
Step-by-step explanation:
Answer:
the answer is C
Step-by-step explanation:
because all the a values are 5 more than b
What fraction is equivalent to 8%
Answers
2/25
4/50
8/100
this are the smallest fractions equivalent to 8%
Answer:
8/100
Step-by-step explanation:
8% = 0.08 = 8/100
let me know if you need more of an explaination <33
Kate’s father is a baker at the Morning Muffin Bakery. This morning the oven wasn’t working correctly and 2 dozen muffins burned. Kate’s father gave ¼ of what was left to Kate to take to school. He wrapped up ½ of the remaining muffins and sold them to the grocery store down the street. He then wrapped ⅓ of what was remaining and gave them to the coffee shop to sell. That left Kate’s father with a dozen muffins to sell at the bakery. How many muffins did Kate’s dad bake?
Answers
Answer:
64
Step-by-step explanation:
Step 1: 12 divided by 3 = 4. 12+4 = 16.
I need to know what ⅓ of 12 is so I can continue the problem without messing up.
Step 2: 16*2 = 32.
Half of however many are left is 16.
Step 3: 32 divided by 4 is 8. 32+8 is 40. Two dozen is 24. 40 + 24 = 64.
Now we know the answer.
Boom.
Enter the value of f(4) for the following function:
Answers
Answer:
648
Step-by-step explanation:
8x3x3x3x3=8x81=648