The domain and the range of the function describes the possible profit or
loss from the sale of popcorn and the number of popcorn units.
The correct responses are;
C. The function is discreteD. The function is; y = 1.5·x - 32E. The domain is; 0 ≤ x ≤ 150F. The loss when non of the popcorn is sold is $-32G. The profit is $193H. The range is; -32 ≤ y ≤ 193Reasons:
The question parameters are;
The price of a popcorn = $1.5
Number of popcorn he purchases = 150
Total profit made = $5.50
The number of containers sold = 25
Therefore;
C. Given that the number of containers sole is countable, the function will be discrete.
D. Cost of the containers = Revenue - Profit
Which gives;
Cost of the containers = 1.5 × 25 - 5.5 = 32
The given function is therefore;
y = 1.5·x - 32
E. The domain is the 150 containers which gives;
The domain = 0 ≤ x ≤ 150
F. When no popcorn is sold, we have;
x = 0, which gives;
y = 1.5 × 0 - 32 = -32
If he does not sell any popcorn, the loss is $32
G. If all the popcorn are sold, we have;
x = 150
Therefore;
y = 1.5 × 150 - 32 = 193
The profit if all the popcorn are sold = $193
H. The range of the function are the possible y values, which is the possible profit or loss, which gives;
The range = -32 ≤ y ≤ 193
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Find (fog)(x) and the domain
Answer:
(fog)(x) = 2sqrt(x) + 3
Domain: {x | x ∈ R, x>=0}
Step-by-step explanation:
(fog)(x) = f(g(x))
let f(a) = f(g(x))
f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3
To find domain, pick most restricting domain of the functions that make up the compound function.
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation . ( Will Mark Brainliest if answered correctly).
Step-by-step explanation:
I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:
1) R1 = d(O,S)
2) R2 = d(O,J)
3) R3 = d(O,M)
With O being the origin of the reference system.
*Note: d(A,B) means distance between point A and point B
After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.
After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.
Answer:
Step-by-step explanation:
Congruent
Shift right 1 unit and up 5 units
Rotate 90 degrees clockwise about (-1, 2)
Or
just rotate 90 degrees clockwise about (1, -1)
5(x - 2) + x = 6(x -4)
Answer:
No solutionStep-by-step explanation:
[tex]5(x - 2) + x = 6(x -4)[/tex]
[tex]6x-10=6x-24[/tex]
[tex]6x-10+10=6x-24+10[/tex]
[tex]6x=6x-14[/tex]
[tex]6x-6x=6x-14-6x[/tex]
[tex]0=-14[/tex]
Let simplify :- 2 ⅓ ÷ 1 ⅛ ÷ 2 ¼
Step-by-step explanation:
7/2 ÷ 9/8 ÷ 9/4
7/2 × 8/9 × 4/9
= 112/81
= 1 ³¹/81
[tex]\large\huge\green{\sf{Question:-}}[/tex]
2 ⅓ ÷ 1 ⅛ ÷ 2 ¼[tex]\large\huge\green{\sf{Answer:-}}[/tex]
=2 ⅓ ÷ 1 ⅛ ÷ 2 ¼ =???
=7/2 ÷ 9/8 ÷ 9/4
=7/2 × 8/9 × 4/9
= 224/162
=112 /81
=1 ³¹/81
12 POINT HURRY PLEASE
Answer:
• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.
Step-by-step explanation:
[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]
If x approaches -∞;
[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]
If x approaches +∞;
[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]
Note: I'm taking my infinite value to be 1,000
You want to be able to withdraw $30,000 from your account each year for 15 years after you retire. If you expect to retire in 25 years and your account earns 6.4% interest while saving for retirement and 5.6% interest while retired:
Round your answers to the nearest cent as needed.
a) How much will you need to have when you retire?
$ 448,704.35 (correct answer)
b) How much will you need to deposit each month until retirement to achieve your retirement goals?
c) How much did you deposit into you retirement account?
d) How much did you receive in payments during retirement?
e) How much of the money you received was interest?
Answer:
use calculator
Step-by-step explanation:
12a^2*b^4-36a^2*b+44abc
Let's simplify step-by-step.
[tex]12a^2*b^4-36a^2*b+44abc=[/tex]
There are no like terms.
Answer:
[tex]12a^2*b^4-36a^2*b+44abc=[/tex]
Is y=x/10 represent proportional relationship
Yes, because x turns to into 1/10.
Help me pleaseeeeeeeeeee
Carry learning!
Stay safe!
A 3-inch candle burns down in 4 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context
use this equation:
b+t+3+4
can someone plzzz help me with this (multiple choice ) i have more if anyone is good at this
What must be true if x/y / 3a/b = 3a/b
HELP! TIMED TEST
Answer:
[tex]\frac{x}{y} =\frac{9a^2}{b^2}[/tex]
Step-by-step explanation:
[tex]\frac{x}{y} :\frac{3a}{b} =\frac{3a}{b}; \ => \ \frac{x}{y} :\frac{3a}{b} *\frac{3a}{b} =\frac{3a}{b} *\frac{3a}{b}; \ => \ \frac{x}{y}=\frac{9a^2}{b^2}.[/tex]
Answer:
D. x/y = 9a^2/b^2
Step-by-step explanation:
I will give brainliest
Answer:
Its D. 36
Step-by-step explanation:
Trey wants to earn more than $89 trimming trees. He charges $8 per hour and pays S7 in equipment fees. What are the possible numbers of hours Trey could
trim trees?
Use t for the number of hours.
Write your answer as an inequality solved for t.
Answer:
11 hours
Step-by-step explanation:
8t + 7 > 89
8t > 81 : subtract 7 from both sides
t > 10.125 : divide by 8 for both sides
t = 11 : estimate
Trey has to work 11 hours because 10 hours would only give him $87.
6. Jan went to the mall with $20. She spent $5 at the mall. What decimal represents how much of her $20 she spent at the mall?
Answer:
0..........5
Step-by-step explanation:
round to the nearest thousandth
7500.98052
12 points **
Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,
plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cups
of lemonade.
v
Cost of Selling Lemonade
Use
y
A
y
60
50
40
Cost ($)
30
20
10
→ X
0
10
50
20
30
40
Number of Cups
Answer:y=12 x=00
Step-by-step explanation:
you can not
The required equation that represents the graph is y = x + 30
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
The standard linear equation is given as y = mx + b
Where,
m is the slope
b is the y-intercept
Using the coordinates (20, 50) and (40, 70)
Get the slope of the line:
m = 70-50/40-20
m = 20/20
m = 1
Since the line cuts the y-axis at y = 30, hence the y-intercept is 30.
Therefore, the Required equation that Shows the graph is y = x + 30
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Express the dollowing fraction in decimal form as a terminating decimal or as a infinite repeating decimal 3/16
Answer:
3/16 as a decimal is equal to 0.1875.
Let's convert the given fraction to a decimal number.
Explanation:
To convert any fraction to decimal form, we just need to divide its numerator by denominator.
Here the fraction is 3/16 which means we need to perform 3 ÷ 16.
So, 3/16 is equal to 0.1875.
Hope that helps you in some way.
if the telephone was invented in 1876 how old was it in 1991 how long had it been around
Answer:
115 Years Old
Step-by-step explanation:
1991-1876 = 115
{(23,4),(-3,8),(-25,-21),(20,13),(21,-14)} what is the domain and range
Answer:
Step-by-step explanation:
The domain: { - 25, - 3, 20, 21, 23 }
The range: { - 21, - 14, 4, 8, 13 }
1/3 of 3 please help I'll give 20 points
Answer:
1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
What is needed to get accurate measurement of distance/length? Explain
Loto begins at his back door and walk 8 yards east, 6 yards north, 12 yards east, and 5 yards north to the barn door. About how many yards less would he walk if he could walk directly from the back door to the barn door?
If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.
First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.
So let's assume that Loto begins at the point (0, 0).
Then:
He moves 8 yards east, to: (8yd, 0)He moves 6 yards north, to: (8yd, 6yd)He moves 12 yards east, to: (20yd, 6yd)He moves 5 yards north, to: (20yd, 11yd)So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd
So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:
[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]
So, if he could walk directly he would only walk 22.8 ft
The difference is:
33yd - 22.8yd = 10.2 yd.
He would walk 10.2 yards less if he could walk directly from the back door to the barn door.
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Divide 63.5 ÷ 0.25 round the quotient to the nearest ten-thousandth
Answer:
254
Step-by-step explanation:
63.5 ÷ 0.25 =
= 63.5 ÷ 1/4
= 63.5 × 4
= 254
Answer: 254.
Sami has a bag full of 4900 marbles of three different colors which include blue, green and black in the ratio 16:13:20. Find the number of each colored marbles in her bag.
Answer:
See the calculation below
Step-by-step explanation:
[tex]16 + 13 + 20 = 49[/tex]
[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]
[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]
[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]
х Y
2 4
4 5
7. 6.5
Write the equation of the line represented by the table
Answer:
y = 0.5x + 3
Step-by-step explanation:
The amount of money in a savings account is an example of which of the following?
a. investment asset
b. liquid asset
C. long term asset
d. use asset
Answer: b. liquid asset.
The money in your checking account, savings account, or money market account is considered liquid because it can be withdrawn easily to settle liabilities.
A savings account is a liquid asset that can be easily converted into cash. Hence, option b is correct.
A savings account is considered a liquid asset because it can be easily converted into cash without any significant loss in value.
Unlike long-term assets that may require a lengthy process to convert into cash, such as real estate or investments, savings accounts offer quick access to funds.
This makes them highly liquid and suitable for short-term financial needs. Liquid assets provide individuals with a sense of financial security and flexibility, as they can be readily used to cover emergencies, expenses, or investments.
Overall, a savings account serves as a convenient and safe option for individuals to save and access their money when needed.
Hence, It is an example of a liquid asset which is option b.
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Given ALMN * AQRS, MZM = 26°, and m2Q = 58°, what is the measure of 2S?
96°
26°
58°
Answer:
96°
Step-by-step explanation:
We assume you intend ...
ΔLMN ~ ΔQRS
Then corresponding angles have the same measure:
∠M = ∠R = 26°
∠L = ∠Q = 58°
∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°
The measure of angle S is 96°.
An agent was able to sell a house and loth worth P2,300,000,00 if he was given a 5% commission.How much did he receive.
pls have solution :D
Answer:
I am not sure what the P is.
2,300,000,00. X 5% = $115,000,000. Commission
Step-by-step explanation:
X=[-1,+∞),Y=R,f(x)=y sao cho y^2-2y=x∀x∈X
Answer:
30
Step-by-step explanation:
sh well cm to cm et FL to