Andrea is selling candles as a fundraiser. she spent $50 on supplies for making the candles. she plans to sell the candles for $10 each. her profit can be modeled by c(x)=10x-50. what is the domain and range of the function
The domain will consist of all non-negative real numbers (x ≥ 0).
And, the range will consist of all real numbers (-∞, +∞).
Given that;
The function is,
c (x) = 10x - 50
Now for the domain and range of the function c(x) = 10x - 50,
Since the domain refers to all the possible input values (x) for the function.
In this case, since c(x) represents the profit from selling candles, x would represent the number of candles sold.
The number of candles sold cannot be negative, as it wouldn't make sense to sell a negative number of candles.
So, the domain will consist of all non-negative real numbers (x ≥ 0).
And, The range refers to all the possible output values (c(x)) of the function.
In this case, c(x) represents the profit. The profit can be any real number because it can be positive, negative, or zero.
Therefore, the range will consist of all real numbers (-∞, +∞).
Thus, Domain: All non-negative real numbers (x ≥ 0).
Range: All real numbers (-∞, +∞).
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Match the following:
Question 1 options:
√−1
-1
-i
1
Answer options
i2
i
i3
i4
How do I construct angle XYZ with a measure of 2 times the measure of angle ABC
MATH HELP 10 POINTS !
1) P = 9.4m, A = 4.8m^2
2) 27*14 /2 = 189 ft^2
3) 0.3^3 = 0.027
Un elev are un numar de fotografii cu diverse specii de animale si pasari. Vrand sa le lipeasca pe filele unui album, consta ca daca le aseaza cite 3 sau cite 4, sau cite 5, sau cite 6 pe ultima fila ii ramine de fiecare data o fotografie. Daca le asezam cite 7 pe fiecare fila, atunci nu-i va ramine niciuna. Cite foografii are elevul?
The selling price s, of an item is s=c+me, where c is the cost of the item and m is the percent markup based on the cost. What is the formula solved for m?
Which of the following best describes the equation below? 3(x + 10) + 8x = 11x - 30
A. exactly one real solution, x = -1
B. exactly one real solution, x =7 1/2
C. infinite real solutions
D. no real solutions
Answer: d
Step-by-step explanation:
The amounts of industrial waste generated in a region during two years were 31,900,000 tons and 53,400,000 tons. What was the total industrial waste generated over these two years in the region, expressed in scientific notation?
what is the result of converting 8 gallons to quarts ? remember , there are 4 quarts in a gallon
Answer: 32 quarts
Step-by-step explanation:
We know that there area 4 quarts in one gallon.
i.e.[tex]1\text{ gallon}=4\text{ quarts}[/tex]
Now, to convert 8 gallons into quart we need to apply unitary method.
Using unitary method , to convert 8 gallons into quart , multiply 8 to 4 , we get
[tex]8\text{ gallon}=8\times4\text{ quarts}\\\\\Rightarrow\ 8\text{ gallon}=32\text{ quarts}[/tex]
Hence there are 32 quarts in 8 gallons.
There are 32 quarts in 8 gallons of quantity.
The given quantity is 8 gallons.
We know that, 1 gallon = 4 quarts
Here, 8 gallons = 8×4
= 32 quarts
Therefore, there are 32 quarts in 8 gallons of quantity.
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Ron is five years older than twice his cousin Pats age. The sum of their ages is less than 35.
What is the greatest age that Pat can be.
A) 7
B)8
C)9
D)10
Answer:
C. 9
Step-by-step explanation:
Ron is five years older than twice his cousin's age. Lets assume that Pat's age is 'x' years.
So Ron's age is [tex]2\times x+5=2x+5[/tex]
The question says:
[tex]x+2x+5<35[/tex]
[tex]3x+5<35[/tex]
[tex]3x<35-5[/tex]
[tex]3x<30[/tex]
[tex]x<10[/tex]
Pat's age [tex](x)[/tex] should be less than 10. Therefore, the greatest age (in integer) that Pat can be is 9 years.
-3(-7p-6) -7< p -29 how to do
What is the solution to the equation using the replacement set {2, 3, 4} 6+x/2=8
If one foot equals 12 inches and one mile is 5280 feet, how many miles are in 50000 inches
To calculate the total miles, first convert 50000 inches to feet, then convert the result to miles. Approximately 0.790 miles are in 50000 inches.
Explanation:To answer your question, "How many miles are in 50000 inches?" We need to convert inches to miles. We have to use the given conversion rates: 1 foot = 12 inches and 1 mile = 5280 feet.
First, let's convert inches into feet by dividing the total inches by the conversion factor of inches to feet. So, 50,000 inches divided by 12 equals approximately 4166.67 feet. Then, to find the total miles, we must convert feet to miles using the conversion factor of feet to miles. So, 4166.67 feet divided by 5280 (the number of feet in a mile) equals approximately 0.790 miles. Learn more about Unit Conversion here:
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Four less than half a number is 17 .How would I solve this?
First, let's define the number we are looking for as n.
So "half a number" is (1/2)×n
Therefore, "four less than" this would be: ((12)×n)−4
And if this is or, in other words, = to #17 we can write the equation:
((12)×n)−4=17
Solving for n while keeping the equation balanced gives:
((12)×n)−4+4=17+4
(12)×n=21
(21)×(12)×n=21×(21)
((21)×(12))×n=421
1×n=42
n=42
The fourth grade students at Riverside school are going on a field trip. There are 68 students on each of the 4 buses. How many students are going on the field trip?
The inner dimensions of an in-ground swimming pool are: width = 13.0ft, length = 18.0 ft, and depth = 9.0ft. the pool walls and the bottom are uniformly 1.0 ft thick and made of concrete. what is the total concrete surface area of the pool in units of ft2?
The sum of 3 times a number and 4 is between -8 and 10
Find a general form of an equation of the line through the point a that satisfies the given condition. a(6, −5); parallel to the line 9x − 2y = 7
To find the parallel line's equation through the point (6, -5), we identify the slope of 9x - 2y = 7 as (9/2), and then use the point-slope form with the given point to derive the new line's equation. The final general form of this equation is 9x - 2y - 64 = 0.
Explanation:To find the general form of an equation of the line that is parallel to the line 9x - 2y = 7 and passes through point a(6, -5), we first need to identify the slope of the given line. The slope-intercept form of the line can be found by rearranging the equation into y = mx + b, where m is the slope. For the given equation 9x - 2y = 7, we solve for y to get the slope:
2y = 9x - 7
y = (9/2)x - 7/2
The slope of the given line is (9/2). Since parallel lines have the same slope, our new line will also have a slope of (9/2). Using the point-slope form of a line's equation, we can insert the slope and the coordinates of point a to determine the equation of our new line:
y - y₁ = m(x - x₁)
y - (-5) = (9/2)(x - 6)
y + 5 = (9/2)x - 27
Finally, we rearrange this equation to its general form, Ax + By + C = 0:
(9/2)x - y - 32 = 0
or
9x - 2y - 64 = 0
This is the general form of the equation of the line that is parallel to 9x - 2y = 7 and passes through point (6, -5).
Which of the following expressions is not correctly written in scientific notation?
1 × 104
9 × 102
10 × 107
5 × 103
Answer:
1.0 x 10 ^ 8
Step-by-step explanation:
what are Negatives and Positives (math) and can u help me learn them
(-1/3,-13/18) a solution of 6y=4x-3
Please help don’t know how to do it iv tried and can’t figure it out. Please help thank you!
What is 60% off of 33.00
To find 60% off of $33.00, you multiply 33 by 60, then divide the product by 100. The result is $19.80, which is the discount amount. So after the discount, the cost is $13.20.
Explanation:To find out what 60% off of $33.00 is, you need to multiply 33.00 by 60 and then divide that product by 100, as percentages are always out of 100. Here's the process:
Multiply 33.00 by 60 to get 1980.00. Then divide 1980.00 by 100 to convert the result into a dollar amount. You get 19.80.
So, 60% off of $33.00 equals $19.80. Hence, after a 60% discount, you would pay $13.20 (33 - 19.80), as this is the remaining cost after the discount has been applied.
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what is 362% of 19.5
How to find amplitude of a trig function?
y = A sin(Bx + C) + D
· amplitude is A
Final answer:
To find the amplitude of a trigonometric function, identify the coefficient in front of the sine or cosine term in the wave equation. In the example equation y(x, t) = A sin(kx — wt), the amplitude is 0.2 meters, represented by A.
Explanation:
To find the amplitude of a trigonometric function, one must identify the coefficient of the sine or cosine function in the wave equation. Given the wave equation y (x, t) = A sin (kx — wt), the amplitude can be extracted directly as it is the absolute value of the coefficient A in front of the sine or cosine term. In the example provided, the amplitude of the wave is 0.2 meters because it is represented by A in y (x, t) = [tex]0.2 m sin (6.28 mx-1.57 s-t).[/tex]
Moreover, the characteristics of a sinusoidal wave such as wavelength (λ), period (T), and frequency (f) are related to the amplitude but represent different aspects of the wave's behavior. These can be determined using the wave number (k), angular frequency (ω), and initial phase shift, when present.
Please, please, PLEASE help!!!
Candice paid $2,000 for her whole life insurance policy this year. A term insurance policy with the same coverage would cost her about $700 a year. Assuming she decides to buy the term policy and invest the difference, earning a rate of 6 percent, how much money could she "make" in a year?
how do you subract polynominals plz explain
Caden owns a popular retail website. The initial number of transactions that took place in the first hour of day is 10 and the number of transactions doubles every hour after that. Which statement best describes the initial number of transactions in this situation? The initial number of transactions is neither an independent nor a dependent variable. The initial number of transactions is an independent variable. The initial number of transactions is a dependent variable. The initial number of transactions is both an independent and a dependent variable.
Answer: The initial number of transactions is neither an independent nor a dependent variable.
Step-by-step explanation:
Here, The initial number of transactions that took place in the first hour of day is 10 and the number of transactions doubles every hour after that.
If x represents the number of hours and y represents Number of transaction after x hours.
Therefore, The function which represents the situation is,
[tex]y = 10\times 2^x[/tex]
Where x is independent variable, while y is dependent variable.
Since initially x=0, y=10 which is the initial transaction.
And, there is not any impact on the value of 10 by changing the values of x or y, Also 10 is not a variable( because it is a constant value)
Therefore neither it is dependent variable nor it is independent.
Answer:
The initial number of transactions is neither an independent nor a dependent variable.
Step-by-step explanation:
We know that the initial number of transactions that took place in the first hour of day is 10, i. e., a constant that is independent of the total number of transactions and the hour of the day. The independent variable is the time elapsed and the dependent variable is the total number of transactions made.
What is the slope of line represented by 1/8x + 3y =3
A truck travels on the highway at a speed of 72 miles per hour. What is the speed of the truck in feet per second
1 mile = 5280 feet
1 hour = 3600 seconds
72 * 5280 = 380160 feet per hour
380160/ 3600 = 105.6 feet per second ( round answer if needed)