Answer:
(f - g)(x) = 3x² - 2x - 6
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = 3x² - 2
g(x) = 2x + 4
(f - g)(x) is f(x) - g(x)
Step 2: Evaluate
Substitute: (f - g)(x) = 3x² - 2 - (2x + 4)Distribute -1: (f - g)(x) = 3x² - 2 - 2x - 4Combine like terms: (f - g)(x) = 3x² - 2x - 6what is 12 to the power of 0 simplified?
Step-by-step explanation:
the answer is 1
x^0 = 1
12^0 = 1
im not that sure
patricia wants to have her living room carpet cleaned she found three different companies that would clean the carpet for $198 the companies are each offering discounts on their carpet cleaning services
Answer:
company 1 final price: $148.5
company 2 final price: $168
company 3 final price: $132
thus, the best choice is company 3 because it costs the least and all services are the same
Step-by-step explanation:
company 1 is offering 25% off the price of their service
company 2 is offering $30 off the price of their service
company 3 is offering a 1/3 discount off the price of their service
the price of the cleaning is $198
company 1: 25% discount = 75% of the original price $198, which would be $198 * 3/4, or $148.5
company 2: $30 dollars off, which means $198 - $30 or $168
company 3: 1/3rd discount, meaning the product after the discount is only 2/3rd of the original price. 2/3rd of $198 is $132, so the final price after the discount is $132
boris's super metal detector not only helped him win the science fair but also helped him find $6.20 in nickels and dimes yesterday morning. If boris found 14 more dimes than nickels, how many nickels did he find
Answer:
32 Nickels
Step-by-step explanation:
Given
Coins: Nickels (N) and Dimes (D)
$0.05 = 1 nickel and $0.10 = 1 dime
So, the amount implies:
[tex]0.05N + 0.10D = 6.20[/tex]
The number of coin implies:
[tex]D = 14 + N[/tex]
Required
Determine the number of nickels found
Substitute 14 + N for D in [tex]0.05N + 0.10D = 6.20[/tex]
[tex]0.05N + 0.10(14 + N) = 6.20[/tex]
[tex]0.05N + 1.4 + 0.10N = 6.20[/tex]
Collect Like Terms
[tex]0.05N + 0.10N = 6.20 - 1.4[/tex]
[tex]0.15N = 4.8[/tex]
Solve for N
[tex]N = 4.8/0.15[/tex]
[tex]N = 32[/tex]
Hence, he found 32 nickels
The average attendance of a yearly Winter Wonderland exhibit at an amusement park is 2.8 × 10 5 people. How many people can be expected to attend over 4 years?
Answer:
1120000 attendees
Step-by-step explanation:
Given that:
Yearly Average attendance = 2.8 * 10^5 people
How many attendees can be expected to attend over 4 years
Average Yearly attendees * 4
(2.8 * 10^5) * 4
= 2.8 * 4 * 10^5
= 11.2 * 10^5
= 1120000 attendees
hope this pic helps.enjoy
5) Contains (3,-1) and (6,- 13)
Help please
Answer:
The slope of the line is -12/3
Step-by-step explanation:
remember, rise over run
My I have brainliest please? :)
What is the measure of M
Answer:
It's also 52 If I got it wrong I'm so sorry but I'm good at angles
Step-by-step explanation:
hello quick question because i am dumb and dont know how to explain things just need some clarification
how do you tell if a domain is continuous or discrete on a table not a graph •~•
Step-by-step explanation:
gegsbdqneyqillzfjmtucznYEmdnfhhthtej62wrr334tyyytyyttffgfrwgeyeyiqlstl7o4a1
9514 1404 393
Answer:
The domain is always discrete when it is found from a table.
Step-by-step explanation:
A table necessarily lists a finite number of discrete points. The domain, as found from a table, is always discrete.
__
If the table is said to be a representation of a continuous function, then the domain of that continuous function will be continuous.
Your question seems to have to do with a table alone, not a table and an equation, or a table and a graph. A table (of points) alone cannot express a continuous domain.
__
Additional comments
One can conceive of tables that would have continuous domains, as, for example, a table with entries ...
(x, y) = (0 ≤ x < 3, 3x+2), (3 ≤ x < 6, 4x-1), ...
Such a table is not a list of points, but is a piecewise function definition. We presume this is not what you're concerned with.
¿Qué distancia recorre un móvil en 2 s cuando se le suelta de un edificio de 100 m de altura?
the answer is 50:::::::_::::::::
MY REAPORT CARD IS COMING SOON AND I HAVE ALL F'S my mom snitches and would tell everyone like she did last time so before my mom get's it should I
A. run away from home
B. Break her phone
C. blackmail her, when she DOES get it
♡ The Question ♡
-MY REAPORT CARD IS COMING SOON AND I HAVE ALL F'S my mom snitches and would tell everyone like she did last time so before my mom get's it should I
A. run away from home
B. Break her phone
C. blackmail her, when she DOES get it
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
- None of the Above!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
- A would not be a very good idea, running away from home can get you in trouble either from your parents/family/guardians, or police/fire department, that would most likely upset your mother more and could cause some issues. B wouldn't be good because soon enough she will most likely find out, breaking somebody's phone can be a bad idea too, if they're in danger they won't be able to call anybody or ask for any help. Including something important could be saved there, not to mention phones are very expensive and it could be devastating.
C isn't much of a better idea either, blackmailing somebody isn't something to be proud of and if anything, is very risky. Blackmailing is demanding money from somebody in return for not revealing compromising info about the person you're threatening. This may only be reputation ruining, but not to mention if the police/fire department find out you're threatening somebody for money you could most likely get arrested.
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-I would recommend going for more of a simple plan, waking up early, getting ready, and to begin your schoolwork and start studying more! This can be helpful for your education/knowledge, including creating a safe place for everybody around you and to avoid being in any tight situation or any danger/discipline. If you ever need more help, feel free to always submit any questions onto Brainly so people can answer your questions and help improve your grades!
An adult ticket to a school play cost $5 and a student ticket cost $3. $460 dollars was collected and 120 tickets were sold. How many student tickets were sold?
(-6) – (2 x 4) – (-1)
Answer:
[tex] (- 13)[/tex]
Step-by-step explanation:
[tex]( - 6) - (2 \times 4) - ( - 1) \\ - 6 - 8 + 1 \\ - 14 + 1 \\ = - 13[/tex]
hope this helps
brainliest appreciated
have a nice day!!
~Hi 1315~
PLEASE HELP!!! WILL MARK BRAINLIEST!!
Answer:
A
Step-by-step explanation:
I’m pretty sure since you’ve taken a cube from the original cube and relocated it, that means is not part of the surface area anymore.
I could be wrong tho lol
Answer:
i think it is b
Step-by-step explanation:
pls help:( this is due by the end of the day!!
Answer:
65°
Step-by-step explanation:
the degrees of the center angle is equal to the degrees of the arc so
?=65°
Your salary is $65,788. If you work fifty 40-hour weeks in a year, what is your hourly wage?
Answer:
$31.63/hr
Step-by-step explanation:
Given parameters:
Yearly salary = $65788
Number hours worked per week = 40hrs
Unknown:
Hourly wage = ?
Solution:
The hourly wage is found by dividing the yearly salary by the total number of hours worked per year.
There are 52 weeks in a year;
Number of hours worked per year = 52 x 40 = 2080hrs
Hourly wage per year = [tex]\frac{65788}{2080}[/tex] = $31.63/hr
Use two sets of coordinates to write an equation
to describe the relationship.
Answer/Step-by-step explanation:
An equation that describes the relationship can be written as [tex] y = mx [/tex].
Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:
[tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70 [/tex]
Substitute m = 70 into [tex] y = mx [/tex]
The equation would be:
[tex] y = 70x [/tex]
This equation can be interpreted as follows:
The heart's resting rate is 70 beats each minute.
helppp pleaseeee ill do anything
can i please get some help
Answer: number 5 is A number 6 is B
Step-by-step explanation:
The trail starts at P(−7, 6) and goes to Q(4, 6). It goes from Q to R(4, −6) and then to S(6, −6). What is the total length (in units) of the biking trail?
We know, distance between two points A( p,q) and B(r,s) is given by :
[tex]AB=\sqrt{(p-r)^2+(q-s)^2}[/tex]
So, distance between P an Q is :
[tex]PQ=\sqrt{(-7-4)^2+(6-6)^2}\\\\PQ=11\ units[/tex]
Distance between Q and R is :
[tex]QR=\sqrt{(4-4)^2+(6-(-6))^2}\\\\QR=12\ units[/tex]
Distance between R and S is :
[tex]RS=\sqrt{(4-6)^2+(-6-(-6))^2}\\\\RS=\sqrt{4}\\\\RS = 2\ units[/tex]
Therefore, total distance is 11 + 12 + 2 = 25 units.
Hence, this is the required solution.
What is the surface area of the cylinder with height 5 ft and radius 2 ft? Round your answer to the nearest thousandth.
Answer: 87.96 ft
Step-by-step explanation:
What is the largest number of three consecutive integers whose sum is 42? O A. 13 B. 17 O C. 15 D. 12
Answer: 13
Step-by-step explanation:
3X + 3 - 3 = 42 - 3
3X = 39
3X/3 = 39/3
X = 13
Which means that the first number is 13, the second number is 13 + 1 and the third number is 13 + 2. Therefore, three consecutive integers that add up to 42 are 13, 14, and 15.
13 + 14 + 15 = 42
We know our answer is correct because 13 + 14 + 15 equals 42 as displayed above.
There was 4/5 of a cake sitting on the counter. Daryl ate 1/3 of the left over cake. How much cake was left over after he ate?
Answer:
0.46 is the left over 23/50 is the fraction
As a maintenance electrician, it takes you 40 minutes to rewire a motor. You have 6 motors to rewire.
At that rate, how many hours will it take you to rewire the motors?
2/3
4
6 2/3
180
240
Answer:
The maintenance electrician takes 287.555555566667 hours to to rewire all the motors
Step-by-step explanation:
1. Calculate all of the minutes for all the numbers.
It takes you 26.6666667 minutes to rewire 2/3 of a motor.
It takes you 160 minutes to rewire 4 motors.
It takes you 266.666667 to rewire 6 2/3 motors
It takes you 7,200 minutes to rewire 180 motors
It takes you 9,600 minutes to rewire 240 motors
2. Add all of the minutes together.
26.666667 + 160 + 266.666667 + 7,200 + 9,600 = 17253.333334
It takes you 17253.333334 minutes to rewire 431.333333 motors
3. Convert minutes to hours
17253.333334/60 = 287.555555566667
It takes you 287.555555566667 hours to rewire all the motors
Before running in a 100-m race, Gaalen's heart rate was
70 beats/min. Which do you think is more likely after the race:
60 beats/min or 120 beats/min? Explain.
Answer:
120 bpm
Step-by-step explanation:
after strenuous exercise your heart rate wouldn't decrease as your body needs more oxygenated blood causing your heart to pump harder and faster
Answer:
120 bpm just like the guy above
Step-by-step explanation:
I had the same question
will mark brain list if answered correct) On this number line, zero represents sea level. Plot the following points based on the description provided.
• 1.5 above sea level
• absolute value of –4.5
• –2
• opposite of 4
• absolute value of 1
• 2.5 below sea level
• greatest common factor of 8 and 12
• –(–3)
• -3 1/2
• opposite of –5
Answer:
The points would be:
1.5
4.5
-2
-4
1
-2.5
4
3
-3.5
5
Step-by-step explanation:
Tantasic charges a reservation fee of 20$ and $1 per minute in a tanning bed. Bettersun charges no reservation fee but charges 2$ per minute. How many minutes will the price be the same
Answer:
The indifference point is 20 minutes
Step-by-step explanation:
Giving the following information:
Tantasic:
Reservation fee of 20$ and $1 per minute
Bettersun:
2$ per minute.
First, we need to structure both total cost formulas:
Tantasic= 20 + 1x
Bettersun= 2x
x= number of minutes
Now, we equal both formulas and isolate x:
20 + 1x = 2x
20 = 1x
20= x
The indifference point is 20 minutes
The units digit of a two-digit number is four more than the tens digit. If the number is doubled, it will be one more than the reversed number. Find the number. (Number: 32 Reversed number: 23)
Answer:
37
Step-by-step explanation:
2-digit number: 10x + y
y = x + 4
20x + 2y = 10y + x + 1
8y = 19x - 1
8x + 32 = 19x - 1
11x = 33
x = 3
Number: 37
Answer:
Answer:
37
Step-by-step explanation:
2-digit number: 10x + y
y = x + 4
20x + 2y = 10y + x + 1
8y = 19x - 1
8x + 32 = 19x - 1
11x = 33
x = 3
Number: 37
Which of the following expressions are equivalent to -3(2 + 7)?
Choose all answers that apply:
A) 6 + 21
B) -21 +6
C) None of the above
Answer:
-3(2+7) = -27
Step-by-step explanation:
Step 1: Solve Original Equation = -27
Step 2: Solve the Rest. A) 6 + 21= 21
B) -21 + 6= -15
Step 3: None of these answers equal the original answer (-27). Therefore making it C) None of the above.
A submarine is traveling level at ¯75 feet below the surface of the sea. The Captain gives orders to dive the submarine to a depth three times their current level. What is the new cruising level?
Answer:
264 {feet}
below sea level
Step-by-step explanation:
Ascending means moving towards the surface.
So the submarine is 340 feet below sea level.
The submarine ascends 76 feet.
∴
340 − 76 =
264 below sea level.
Step-by-step explanation:
Courtney walked from her house to the beach at a constant speed of 444 kilometers per hour, and then walked from the beach to the park at a constant speed of 555 kilometers per hour. The entire walk took 222 hours and the total distance Courtney walked was 888 kilometers.
Answer:
I suppose that each number is repeated 3 times, the actual question is:
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour, and then walked from the beach to the park at a constant speed of 5 kilometers per hour. The entire walk took 2 hours and the total distance Courtney walked was 8 kilometers.
Now, remember the relation:
Distance = Speed*Time
Let's define:
D1 = distance between Courtney's house and the beach.
D2 = distance between the beach and the park.
T1 = time that it took the first walk.
T2 = time that it took the second walk.
We know that the total distance Courtney walked is 8km, then:
D1 + D2 = 8km.
And we also know that the entire walk took 2 hours, then:
T1 + T2 = 2h.
We also have the equations:
D1 = 4km/h*T1
D2 = 5km/h*T2.
Then we have a system of equations:
D1 + D2 = 8km
T1 + T2 = 2h
D1 = 4km/h*T1
D2 = 5km/h*T2.
To solve this, first let's replace equations 3 and 4 in the first equation:
4km/h*T1 + 5km/h*T2 = 8km
Now we have only two equations left:
4km/h*T1 + 5km/h*T2 = 8km
T1 + T2 = 2h
Now we can isolate one of the variables in the second equation and then replace it in the first equation, i will isolate T1:
T1 = 2h - T2.
Replacing this in the first equation gives:
4km/h*(2h - T2) + 5km/h*T2 = 8km
Now let's solve this for T2.
8km - 4km/h*T2 + 5km/h*T2 = 8km
8km + 1km/h*T2 = 8km
1km/h*T2 = 0
from this, we have T2 = 0
This would mean that T1 = 2h.
Then:
D1 = 4km/h*2h = 8km.
T2 = 0
D2 = 5km/h*0 = 0.
This happens because the numbers in the problem were not well thought.
You can see that when she spends the 2 hours walking at the smaller speed, she already reaches the total distance, then if she walked any amount of time at the larger speed, the total distance would be more than 8km.
A twelve-hour clock is set at the correct time on the afternoon of May 17th. Somebody knocked the clock off the wall and now it loses 6 minutes per day. How much time will the clock be behind 3 weeks later?
Answer:
126 minutes (or 2 hours and 6 minutes)
Step-by-step explanation:
7 days in a week times 3 weeks = 21 days
6 minutes a day times 21 days = 126 minutes behind