a) The piecewise function is:
[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]
[tex]C(n) = 15 + 1.1n, n > 20[/tex]
b) Applying the piecewise function, it is found that it will cost $40.
A piecewise function is a function that has different definitions based on the input.
Item a:
20 or fewer cups, fixed cost of $12 for shipping plus $1.40 per cup. Thus, the first definition of the function for the cost of n cups is:[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]
For more than 20 cups, price of $1.1 per cup plus a shipping and handling fee of $15. Then:[tex]C(n) = 15 + 1.1n, n > 20[/tex]
Then, the piece-wise function is:
[tex]C(n) = 12 + 1.40n, n \leq 20[/tex]
[tex]C(n) = 15 + 1.1n, n > 20[/tex]
Item b:
The cost of 20 cups is C(20).It is the first definition, which is valid for [tex]n \leq 20[/tex].Then:
[tex]C(20) = 12 + 1.4(20) = 12 + 28 = 40[/tex]
It will cost $40.
A similar problem is given at https://brainly.com/question/24815096
Solve: 2x+1= 2X - 1
A) No Solution
B) x = 0
C) Infinitely Many Solutions
Answer:
A) No Solution
Step-by-step explanation:
2x+1=2x-12x-2x=-1-10 = -2Thus, it has no solution
50 points
Select all values that make the equation true.
2(x−8)=x+5x
Answer:
x= -4
Step-by-step explanation:
The answer to this question that I’ve been stuck on for a long time
Answer:
x = -3/2
Step-by-step explanation:
Work out the volume of the frustrum please
Answer:
3744:\p=11756.16 m^2
Step-by-step explanation:
[tex] {12}^{2} \pi(18 + 9) - {4}^{2} \pi \times 9 = 3744\pi \: \: {m}^{2} [/tex]
Help please! I need help with my math question!
Answer:
cc
Step-by-step explanation:
Làm tính Nhân:
(x² - 2x + 1)(x- 1)=
Step-by-step explanation:
(x² - 2x + 1)(x- 1)=
(x+1)^2(x-1)
Step-by-step explanation:
(x² - 2x + 1)(x- 1) = x³ - 2x² + x - x² + 2x - 1
= x³ - 3² + 3x - 1
Consider 2 3/4 divided by 1/8
(A) write a real world problem for the division
(B) create and explain a model for the division
(C) find the quotient show your work or explain your reasoning
Answer:
Part A. Mary has 2 3/4 cups of sugar to make cookies. The recipe requires 1/8 cup of sugar for one portion of cookies. How many portions of cookies can Mary make?
Part B.
portions.
Part C. The quotient is 22 and this number represents the amount of portions of cookies that Mary can make.
Step-by-step explanation:
Please answer the math problem... I will mark you brainliest
Answer:
t = 128°
Step-by-step explanation:
A triangle equals 180°. 2/3 of the angles in the triangle are given, so we would then do the following:
180 - (61 + 67) = x
180 - 128 = x
52 = x
Since a straight line also is 180°, this would mean x + t = 180.
x = 52
We would then convert the equation to the following:
180 - 52 = t
128 = t
The angle "t" is a 128° angle.
Evaluate the expression,
if x = 12, y = 8, and z = 3.
5y +
XIN
Answer:
5*8+12/3
=40+4
=44..........
How do I solve this. Plz do step by step explanation so I can solve these kind of problems in the future. Thanks
Find the values of x and y that maximize or minimize the objective function for each graph.
And Plz don't make me download any thing.
Answer:
very hard
this is a really hard problem but ignore the graph and pay attention to the numbers
Step-by-step explanation:
Prove the following relations:
1) (1 - cos²A) (1 + tan²A) = tan²A
Step-by-step explanation:
(1 - cos²A) (1 + tan²A) = tan²A
(sin²A)(sec²A) = tan²A
(sin²A)(1/cos²A) = tan²A
(sin²A)/(cos²A) = tan²A
tan²A = tan²A → Proved
Step-by-step explanation:
So, this way we can do. Thank you!
help please help help
Answer:
the 3rd one i think
Step-by-step explanation:
Answer:
The second one
1/m8
At 100 Fahrenheit a certian insect Chirps at a rate of 94 times per minute and at 103 Fahrenheit they trip at 112 times per minute write an equation in slope intercept form that represents the situation
Answer:
y=6x-506
Step-by-step explanation:
Start by finding the slope.
Let your x-axis be temperature and you y-axis be chirps per minute.
This leaves you with your two points to find slope.
The first point would be (100,94) and your second point would be (103,112).
From here we can do the standard slope equation [tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex].
[tex]\frac{112-94}{103-100}[/tex]=[tex]\frac{18}{3}[/tex]
[tex]\frac{18}{3}[/tex] Is your slope for the line which can be simplified to 6.
Next find your y-intercept. This can be found by moving around your
y=mx+b equation.
y-mx=b
Pick a point to substitute into the equation. Ill use (103, 112).
[tex]112-6(103)=b[/tex]
[tex]112-618=b[/tex]
[tex]-506=b[/tex]
[tex]b=-506[/tex]
Knowing slope and the y-intercept we can write the slope intercept equation
y=6x-506
Three times a number increased by 44 is the same as the opposite of the number. Find the number
Answer:
- 11
Step-by-step explanation:
let the number be n then 3 times the number is 3n and the opposite is - n
3n + 44 = - n ( add n to both sides )
4n + 44 = 0 ( subtract 44 from both sides )
4n = - 44 ( divide both sides by 4 )
n = - 11
The required number is - 11
Multiply the binomials: (y+2)•(y-6)
Answer:
(y+2)•(y-6)
Step-by-step explanation:
y(y-6)+2(y-6)
y^2-6y+2y-12
y^2-4y-12
What is
[tex] {3}^{ - 2} [/tex]
as a fraction?
Which number represents the ratio comparing the average age in groupB to group A if the average age of A=50 years old and B=65 years old?
Please help me find the answer to the question mark
Answer:
48 (my sis did this)
correct option: 137
mark me brainleast:)
Step-by-step explanation:
HELP RIGHT NOW
(covered ones aren’t important)
Base: $38,000; Fee: $2 per application; Applications: 800
Answer:
ikaw Mag answer nyan
Step-by-step explanation:
bubu
Answer:
39,600
Step-by-step explanation:
38,000 +(2x)
X=800
38000+(2•800)
38000+1600
39600
*IM CONFUSED??? HELP ME PLEASEE !! , MAKE SURE ITS THE CORRECT ANSWER ITS FOR AN ASSESSMENT ! *
Answer:
First option: y = 5/6x + 12
Step-by-step explanation:
In the slope-intercept form, y = mx + b:
m = represents the slope
b = represents the y-coordinate of the y-intercept, (0, b).
In your given question, it states that the slope (m) = 5/6, and the y-intercept is (0, 12). This means that the value of (b) for your linear equation is the y-coordinate of (0, 12). Therefore, the correct answer is:
y = 5/6x + 12
How can I solve 8.5 x (-4)?
Answer:
-34
Step-by-step explanation:
you would first solve it like a normal equation and ignore the negative;
0.5 * 4 is 2
8 * 4 is 32
32 + 2 = 34
and then you would add the negative sign- because there is only one side with a negative sign, it is negative
if the equation had both sides had a negative, it would be positive
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D
Answer:
Median. Explanation to each part below.
Step-by-step explanation:
a) Starting with calculating the mean, which is all the values added divided by the number of values (in this case he has 6 scores total).
[tex]mean/average=\frac{81+87+93+89+61+81}{6} =\frac{492}{6} = 82[/tex]
b) To find the median, arrange all the test scores in increasing order and find the middle/median value. We have 6 scores, so we will have 2 middle scores. If we had 7 scores, we would find only 1 score in the middle which would be the median. We will have to find the average of the two scores.
[tex]61,81,81,87,89,93[/tex]
The middle values will be 81 and 87 so find the average of those 2 scores.
[tex]Median: \frac{81+87}{2} =\frac{168}{2} =84[/tex]
c) The mode is the score which occurs the most. In this case, Jack has 2 scores that are 81, which is his mode.
d) The measure that would make his performance sound good would be the median. The mode and mean are below the score of 84 that he gets for the median. He would want to flaunt this measure to show he performs well.
true or false? the graph is decreasing when x<-2 and increasing x>-2
Simplify the expression by combining like terms. Then,
evaluate the expression by substituting the given values
for the variables.
x=5 and y=2
y^2 + xy – 7y^2
Answer:
-14
Step-by-step explanation:
The like terms in this equation is y^2 and -7y^2 so combining the two the equation becomes:
xy-6y^2
Then we substitute the values in:
5×2-6×2^2 = -14
in September how much money did he cam
er earns $102 esch day for mowing several laws. If he moves the firm for 25 days
Answer: $2,550
Step-by-step explanation:
I’m not 100% sure what this question is asking.
But if it’s asking “how much money does he earn in total if he mows for 25 days and if he earns $102 each day”, then that would be your answer.
Since there is 25 days, and he earns $102 each day, you would multiply 25 by 102.
Then your answer (his total amount of money earned once he has mowed for 25 days) would be: $2,550.
The larger of two consecutive integers is 13 greater than four times the smaller. Find the integers. -3, -4 7, 8 3, 4
Answer:
The integers are -3 and -4.
Step-by-step explanation:
Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.
If the smaller integer is x, then the next greater integer is x + 1.
x + 1 = 4x + 13
-3x = 12
x = -4
x + 1 = -3
Answer: The integers are -3 and -4.
Check:
Smaller integer: -4
Larger integer: -3
4 times smaller integer = 4 * (-4) = -16
13 greater than 4 times smaller = -16 + 13 = -3 = greater integer
-3 and -4 is the correct answer.
Answer:
-3 and -4
They are indeed correct.
Sample Question...........4x + 5x=
Answer:
4x+5x=0
sample question
or it can be a quadratic equation
4x^2+5x=0
solved
The owner of an organic food store would like to analyze the sales data to determine if the business is growing, declining or remaining flat. The owner has the following data: Sales Revenue Last Year = $350,000 // Sales Revenue Current Year = $402,000. What is the sales growth? Question 3 options: 10% 17% 13% 15%
The percentage sales growth recorded by the food store is 15%
Given the Parameters :
Last year revenue = $350,000Current year revenue = $402,000The growth sales can be obtained using the relation :
Change in revenue / Last year revenue) × 100%Change in revenue = Current year - Last yearChange in revenue = $402,200 - $350,000 = $52,200Hence, percentage sales growth :
(52,200 / 350,000) × 100% = 14.914 %Therefore, the percentage sales growth is 15%.
Learn more :https://brainly.com/question/13218948
Answer: 15%
Step-by-step explanation:
What is
[tex] {4}^{ - 3}[/tex]
as a fraction?
Step-by-step explanation:
[tex] {4}^{ - 3} [/tex]
[tex] = ( \frac{1}{4} )^{3} [/tex]
Which of the following is the Cube for 5?
A)5
B)15
C)25
D)125
Help pls