A store sells self-serve frozen yogurt sundaes the function C(w) represents the cost, in dollars, of a sundae weighing w ounces. An appropriate domain for the function would be
A. Integers
B. Rational numbers
C. nonnegative integers
D. nonnegative rational numbers

Answers

Answer 1
The domain would be ur w values....the weight in ounces. So the weight would have to be positive numbers because it is not gonna weigh negative. And it would not necessarily have to be a whole number...because the sundae could weight 2.5 oz......so ur answer is : non-negative rational number
Answer 2

Answer:

D.Non negtaive rational numbers.

Step-by-step explanation:

Given

A store sells self serve frozen yogurt and weight of yogurt taken in ounces.

The function C(w) represents the cost , in dollars .

The given yogurt can be  measured  in gram or kilogram or ounces etc.

The quantity of yogurt can not be negative  because  quantity  is always a positive number . So it can not be a negative number

The quantity is defined as the  amount of  any material or substance .

The quantity is always a positive number . It can not be negative value of a number.

Here, the quantity is taken in ounces  so it is a positive number .

The quantity of any material can be natural number or  positive rational  number .

Hence,the domain for the function C(w)  are non negative rational numbers.

An appropriate domain for the function would be non negtaive rational numbers .

Therefore, the correct answer is option D.


Related Questions

The table below shows the average yearly balance in a savings account where interest is compounded annually. no money is deposited or withdrawn after the initial amount is deposited. which type of function best models the given data?
a. linear function with a negative rate of change
b. linear function with a positive rate of change
c. exponential decay function
d. exponential growth function

Answers

Final answer:

The given data represents the average yearly balance in a savings account where interest is compounded annually. The function that best models the data is an exponential growth function.

Explanation:

The given data represents the average yearly balance in a savings account where interest is compounded annually. Since the balance is increasing over time, the function that best models the data is an exponential growth function. Option d, exponential growth function, is the correct answer.

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Which of the following is a solution to the inequality y > –2x + 6? a.(4, 4) b.(0, 0) c.(1, 1) d.(2, 2)

Answers

A. 4 is greater than -2(4) + 6 = -8 + 6 = -2 which is correct

B. 0 is greater than -2(0) + 6 = 6

That statement is untrue.

C. 1 is greater than -2(1) + 6 = 4

That statement is untrue.

D. 2 is greater than -2(2) + 6 = 2

That statement is untrue.

The answer is A since after you plug in 4 for x and y, the statement 4 > -2 is true. 4 IS greater than -2.

The correct answer is a.(4, 4) because when you substitute x = 4 and y = 4 into the inequality y > -2x + 6, the inequality holds true, indicating that (4, 4) is a solution.

To determine which of the given points is a solution to the inequality y >
-2x + 6, we substitute the x and y values of each point into the inequality and check if the inequality holds true.

For point (4, 4), substitute x = 4 and y = 4 into the inequality: 4 >
(-2)(4) + 6, which simplifies to 4 > -8 + 6 or 4 > -2, so point (4, 4) is a solution to the inequality.For point (0, 0), substitute x = 0 and y = 0 into the inequality: 0 > (-2)(0) + 6, which simplifies to 0 > 6, which is not true, so (0, 0) is not a solution.For point (1, 1), substitute x = 1 and y = 1 into the inequality: 1 > (-2)(1) + 6, which simplifies to 1 > -2 + 6 or 1 > 4, which is not true, so (1, 1) is not a solution.For point (2, 2), substitute x = 2 and y = 2 into the inequality: 2 > (-2)(2) + 6, which simplifies to 2 > -4 + 6 or 2 > 2, which is not true, so (2, 2) is not a solution.

Therefore, the correct answer is a.(4, 4), since it is the only point that satisfies the inequality y > -2x + 6.

which set of ordered pairs in the form of x y does NOT represent a function of x?
A. {(1, 1.5), (2, 1.5), (3, 1.5), (4, 1.5)}
B. {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}
C. {(1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5)}
D. {(1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)}

Answers

Answer: Choice B

-----------------------------------------
-----------------------------------------

A function is only possible if every x value leads to exactly one y value. Put another way, any input must have exactly one output. With choice B, we have (1,3.3) and (1,4.5). This tells us that the input x = 1 has two outputs y = 3.3 and y = 4.5 at the same time. This is why we do NOT have a function here. 

If we graphed the set of points for choice B, the graph would fail the vertical line test. 

A function is a relationship that maps elements from one set (the inputs) into elements of another set (the outputs). Such that each input can be mapped into only one output.

The correct option is B: {(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}

Using the general definition, to find which set of ordered pairs does not represent a function, we need to see in which set we have the same input (the first element of the ordered pair) assigned to two different outputs (the second element of the ordered pair).

Here the one that does not represent a function is option B:

{(0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5)}

Because we have the input x = 1 assigned to two different outputs, y = 3.3 and y = 4.5

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Solution for 5y-4=9y+8 equation

Answers

5y-4=9y+8

5y=9y+8-4

5y-9y=8-4

-4y=4

y = -1

An isometry preserves distance.
True
False

Answers

True
I could be wrong.
I believe the answer is true

Find all real and imaginary zeros for a polynomial function

Answers

For the answer to this, we turn to the all-important Fundamental Theorem of Algebrawhich states that every degree-n polynomial has exactly imaginary roots. It's important to keep in mind that this theorem doesn't tell you how to find these roots - it just tells you that they exist.
Final answer:

A polynomial function is an algebraic expression with one or more terms. The real zeros can be found by setting the function equal to zero and solving for x. The imaginary zeros can be found using the complex conjugate theorem.

Explanation:

A polynomial function is an algebraic expression that consists of one or more terms. The real zeros of a polynomial function are the values of x that make the function equal to zero. To find the real zeros, set the polynomial function equal to zero and solve for x using methods such as factoring, synthetic division, or the quadratic formula.

The imaginary zeros of a polynomial function are the values of x that make the function equal to a complex number. These can be found by using the complex conjugate theorem. If a + bi is a zero, then a - bi is also a zero, where a and b are real numbers and i is the imaginary unit, sqrt(-1).

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write "all horses drink water" as a conditional statement

Answers

All horses drink water because they are living creatures.

Find the value of x and y
x+4y=21, 4x-16=y

Answers

x + 4y = 21.....................................(1)
4x - y = 16     Multiply this by 4:-
16x - 4y = 64 ...................................(2)

Add (1) and (2):-
17x =  85
x = 5

Plug this into equation (1):-
5 + 4y = 21
4y = 16 
y = 4

Answer is x = 5, y = 4.
[tex]Simplifying x + 4y = 21 Solving x + 4y = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. x + 4y + -4y = 21 + -4y Combine like terms: 4y + -4y = 0 x + 0 = 21 + -4y x = 21 + -4y Simplifying x = 21 + -4y[/tex]

[tex]Simplifying 4x + -16 = y Reorder the terms: -16 + 4x = y Solving -16 + 4x = y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 4x = 16 + y Combine like terms: -16 + 16 = 0 0 + 4x = 16 + y 4x = 16 + y Divide each side by '4'. x = 4 + 0.25y Simplifying x = 4 + 0.25y[/tex]


What is the value of f(−1) when f(x)=2x+2 ?


Enter your answer in the box.
f(−1)=

Answers

f(-1)=2(-1)+2
f(-1)=-2+2
f(-1)=0

Kate is constructing an equilateral triangle. She has already used her straightedge to construct the line segment shown.

A line segment with endpoints labeled as A and B.

What should Kate do for her next step?

Use the straightedge to draw a line that passes through point A.

Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.

Use the straightedge to draw another line segment that does not intersect AB¯¯¯¯¯.

Place the point of the compass on point A and draw an arc, using a width for the opening of the compass that is less than 12AB.

Answers

The next step that Kate should take in construction of an equilateral triangle after using a straight edge to construct the given line segment is;

Option B; Place the point of the compass on point A and draw an arc, using AB as the width for the opening of the compass.

This is about steps involved in constructing an equilateral triangle which means 3 equal sides.

First step; This first step entails drawing a line with the given measurement of the side of the equilateral triangle and label it AB

Second step; This step entails placing the point of the compass at point A and opening the leg to touch point B which means length AB will be the width to be used to draw an arc.

Step 3; The same process in step 2 is carried out but this time the point of the compass will be placed at point B and opening the second leg to touch point A which means length AB will be the width to be used to draw an arc to intersect the other one drawn.

Step 4; The point of intersection is now joined by a straight line to points A & B respectively.

Thus, option B is the correct next step.

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What does the triangle exterior angle theorem make sense based on the triangle sum theorem??

Answers

The sum of angles of all triangles is 180

help me solve this???

3p - 1 = 5(p - 1) - 2(7 - 2p)

Answers

Hey there!

[tex]3p - 1 = 5(p-1)-2(7-2p) Use the distributive property 3p - 1= (5)(p)+(5)(-1)+(-2)(7)+(-2)(-2p) 3p - 1 = 5p - 5 - 14 + 4p 3p - 1= 9p - 19 3p - 9p =-19 + 1 -6p = 18 Divide both sides by -6 -6p/-6 = -18/-6 p = 3 Best of luck with your studies! [/tex]

In six years, Clem Kadiddlehopper will be five times as old as he was 26 years ago. How old is he now?

Answers

124???? 5 times 26 = 130 - 6 = 124 but thats old soo

What is the measure of each interior angle of a regular 10 sided polygon?

Answers

use the formula to get the sum of all interior angles               
180*(10-2)=180*8=1440 degree

now get the degree of one angle             1440/10=144 degree

the answer is 144 degrees.

If only one number in a fraction is negative,does that mean the whole fraction is negative

Answers

Yes it does mean the whole fraction is negative

Imagine a 10 kg block moving with a velocity of 20 m/s to the left. Calculate the kinetic energy of this block

Answers

k.e = ½mv²
= ½×10×20×20
= 5×20×20
= 2000j or 2Kj

Find the value of x and the value of y.

Answers

ans is  
x= 7 and  y= 4√2

Which ordered pairs in the form (x, y)(x, y) are solutions to the equation

7x−5y=287x−5y=28 ?

Select each correct answer.

(4, 10)(4, 10)
(−1, −7)(−1, −7)
(7, 9)(7, 9)
(−6, −14)

Answers


(−6, −14)(−1, −7)
are the answers

hey! are you in 8th grade K12? if so you should join my study group on skype! if you are interested just say the word and ill send you a invite! and if you cant get skype then we can use "discord", which you can use on a web browser!
and if you know anyone who can join please direct me to them if you can :3

PleAse help and show how you got it if you don’t mind

Answers

1)

[tex]\bf \textit{surface area of a cube}\\\\ s=6x^2\quad \begin{cases} x=\textit{length of a side}\\ ---------\\ s=150 \end{cases}\implies 150=6x^2\implies \cfrac{150}{6}=x^2 \\\\\\ 25=x^2\implies \sqrt{25}=x\implies \boxed{5=x}[/tex]

3)

[tex]\bf \textit{volume of a square pyramid}\\\\ V=\cfrac{b^2h}{3}\quad \begin{cases} b=\textit{base's side}\\ h=height\\ -------\\ h=3\\ V=25 \end{cases}\implies 25=\cfrac{b^2\cdot 3}{3}\implies 25=b^2\cdot \cfrac{3}{3} \\\\\\ 25=b^2\cdot 1\implies 25=b^2\implies \sqrt{25}=b\implies \boxed{5=b}[/tex]

Write the equation of the line perpendicular to the given line and passing through the given point: y=3x−2 through (3,4)

Answers

Answer:

all work is shown and pictured

Answer:

y= -1/3x+5

Step-by-step explanation:

A theorem is a statement that can be easily prove using a corollary

Answers

False. Although, I'm not 100% sure.

⇒A theorem is a statement that can be easily prove using a corollary

False Statement

Corollary Means , a Theorem written in another way , when it has been proved.

For Example:The Sum of Angles of Triangle is 180°.-----Theorem

Corollary→If  three distinct rays intersect at three points , and sum of interior Angles formed at their point of Intersection is 180°, then it is a Triangle.

Correct Statement will be:

     A theorem is a statement that can be easily proved using an Axiom or Postulate.

A die is rolled twice. what is the probability of showing a 3 on both rolls?

Answers

The probability of showing a 3 on the first roll is 1/6.
The probability of showing a 3 on the second roll is 1/6.

Because the two rolls are independent events, the probability of showing a 3 on both rolls is
(1/6)*(1/6) = 1/36

Answer: 1/36

What is the slope of the line whose equation is 12=4x−6y ? Enter your answer in the box.

Answers

12=4x-6y
2-(4/6)x=y

Slope is -4/6 or -2/3

Answer:

Slope of the line  12=4x−6y is [tex]\frac{2}{3}[/tex] .

Step-by-step explanation:

The slope line form is denoted by

y = mx + c

Where m is the slope and c is the y- intercept .

As given

The equation of the line is given by .

12=4x−6y

It is also written as

6y = 4x - 12

[tex]y = \frac{4x}{6} -\frac{12}{6}[/tex]

Simplify the above

[tex]y = \frac{2x}{3} -2[/tex]

(Compare with y = mx + c )

Thus

[tex]m = \frac{2}{3}[/tex]

Therefore the slope of the line  12=4x−6y is [tex]\frac{2}{3}[/tex] .

HELP!
Solve −2(2x + 5) − 3 = −3(x − 1). (1 point)


−10

−16

16

−13

Solve 4(x + 1) = 4x + 4. (1 point)


1

All real numbers

0

No solution

Answers

the first questions answer is -

-16

the second one is

all real numbers!!

i hope i helped :))

Answer:

all numbers are real

Step-by-step explanation:

A local theater has floor seating, balcony seating, and box seating. if the theater contains 2,500 seats with 425 seats in the balcony and 215 box seats, how many seats are on the floor?

Answers

1,860 seats on the floor

A line passes through (−1,−6) and (7,2) .Find the slope-intercept form of the equation of the line. Then fill in the value of the slope, m, and the value of the y-intercept, b, below.

Answers

slope = 1
y intercept = -5

The equation of the line passing through the points (- 1, -6) and (7, 2)  will be → y = x - 5. The slope will be [m] = 1 and the y - intercept will be -5.

What is the slope intercept form of a straight line?

The slope intercept of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is a straight line passing through the points (- 1, -6) and (7, 2)

We have a straight line that passes through the coordinates as follows -

(- 1, -6)

(7, 2)    

The slope of the line can be calculated using the formula -

m = (y₂ - y₁)/(x₂ - x₁)

m = (2 + 6)/(8)

m = 8/8

m = 1

The line is passing through the point (7, 2). We can write -

y = mx + c

y = x + c       [m = 1]

2 = 7 + c

c = 2 - 7

c = -5

The equation of the straight line will be -

y = x - 5

Now, the slope of the line will be [m] = 1 and the y - intercept will be -5.

Therefore, the equation of the line passing through the points (- 1, -6) and (7, 2)  will be → y = x - 5. The slope will be [m] = 1 and the y - intercept will be -5.

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Can someone check this for me? Thanks.

(b) Suppose it is also known that AD ≅ CD. Which postulate or theorem can be used to prove that ΔABD ≅ ΔCBD?


I'm guessing it's the SAS congruence postulate but I'm not very good at this so I'm not sure.

Answers

yes it's SAS
AD = CD (given)
BD = BD (common side )
but since it didn't say AC丄BD
it's no way to prove the angels r 90° :/

but as it already given AD= CD
so it's proven that it's an isosceles triangle
therefore
∠BAD = ∠BCD (base ∠s isos. ∆)

therefore it's SAS (side angel side)

Which answer is the solution set to the given inequality |x+7| < 17

Answers

X Can't get greater than 10 but it can be -10 so x has to be lesser then 10.
x must be lesser than 10 or else this wont make sense(please leave me a thank you)

Which shows the reflection of the figure over the line

Answers

Answer:

The answer appears to be A

Step-by-step explanation:If you redrew the answer backwards, the reflection would match the first one


Answer:

Step-by-step explanation:

It takes to sell A three hours to produce two cells.If you start with cell A,how many cells will you have in 24 hours

Answers

In 24 hours, you will have 48 cells if you start with cell A and keep making cells at the same rate.

If it takes three hours to produce two cells, we can calculate the production rate as follows:

Production rate of A = 2 cells / 3 hours

Now, we want to find out how many cells will be produced in 24 hours:

Number of cells produced in 24 hours = Production rate of A × Number of hours

Number of cells produced in 24 hours = (2 cells / 3 hours) × 24 hours

Number of cells produced in 24 hours = 2 cells/hour × 24 hours

Number of cells produced in 24 hours = 48 cells

Therefore, if you start with cell A and continue producing at the same rate, you will have 48 cells in 24 hours.

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