Answers
Answer:
See Below
Step-by-step explanation:
(x-3)-2 ≤ 1 (x-3)-2 ≥ -1
+2 +2 +2 +2
x-3 ≤ 3 x-3 ≥ 1
+3 +3 +3 +3
x ≤ 6 and x ≥ 4
Related Questions
Task: Use the following situation to answer Parts A and B Instructions At noon, a tank contains 100 gallons of water. The table shows the input and output of water from pipes A, B, and C. The pipes begin operating simultaneously at noon. A B C Pipe Flow IN (gallons per minute) a (2) = 172 6(2) = 80 Flow OUT (gallons per minute) c (2)=30r Complete each of the 2 activities for this Task. Activity 1 of 2 Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened. Which of the following functions represents T (x)? O A T (2) = 100 + a(z) +b(2) - c(x) OCT (x) = 100 + a (x) +b(2) + c(2) OBT () = a (x) + b() +(2) ODT (2) = a (x) +b(x) - c(:) Activity 2 of 2 Using the equation, after how many minutes will the tank be empty?
Answers
Answer:
1. Option C2. NeverStep-by-step explanation:
Refer to attached for the table and clearer version of the question
As per table A and B pipes feed the tank and C is the outlet
Considering initial volume of 100 gallons, the amount of water in the tank after x minutes is:
T(x) = 100 + a(x) + b(x) - c(x), this is option C.We can calculate when tank is going to be empty:
0 = 100 + 25x + 10x - 30x0 = 5x + 1005x = -100x = -20Since we got negative number, the tank is not going to be empty when all 3 pipes are open.
The function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
The tank will not be empty when all the three pipes are in operation.
What is a function?If we have two sets A and B as:
[tex]A = \{a_1, a_2, ... \}\\B = \{b_1, b_2, ... \}[/tex]
Then, function
[tex]f:A \rightarrow B[/tex]
is a connection of elements of A to B such that one element of A is connected to only single element of B, and not many.
The connected pairs are then written as:
[tex]\{(a_i_1,b_j_1), (a_i_2, b_j_2), ... \}[/tex]
Under the function f.
The table shows the input and output of water from pipes A, B, and C.
Pipe A B C
Flow In (gallons/minute) a(x)=25x b(x)=10x
Flow Out (gallons/minute) c(x)=30x
The pipes begin operating simultaneously at noon. Let T (2) represent the amount of water in the tank x minutes after all of the pipes A, B, and C are opened.
At noon, a tank contains 100 gallons of water. In the above table A and B shows the inlet of water while C shows the out let of the water.
So, 100, A and B added in the function while C will be subtracted as,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
Thus, the function in option C represents T (x).
Now use this equation, to find the number of minutes for the tank be empty. For this equation, the equation equal to zero as,
[tex]T(x)=100+25x+10x-30x[/tex]
[tex]0=100+25x+10x-30x\\-100=5x\\x=-20[/tex]
This negative value of x tells that if all the three pipes are open, the tank is never become empty completely.
Thus, the function which represent T (x) for the tank which contains 100 gallons of water and input and output of water from pipes A, B, and C is,
[tex]T(x)=100+a(x)+b(x)-c(x)[/tex]
The tank will not be empty when all the three pipes are in operation.
Learn more about the function here;
https://brainly.com/question/13395697
What is (21/6) * (-3 3/4)? :
Answers
Answer:
...
Step-by-step explanation:
...
what is the slope of the line
Answers
Mary loves to read. She reads almost everyday! On Monday, she read for 145 minutes . On Tuesday and Wednesday, she read for 459 minutes. How many minutes total has she read so far this week?
Answers
Answer:
604 minutes
Step-by-step explanation:
145+459=604
Match each retirement plan to its description.
Offered by a company to employees. ______?
Opened and managed by an individual._______?
Offered by a nonprofit organization to employees.______?
401(k)
IRA
403(b)
Answers
Answer:
401(k)IRA403(b)Step-by-step explanation:
The matches are Offered by a company to employees= 401(K).
Opened and managed by an individual = IRA.
Offered by a nonprofit organization to employees is 403(b)
What are the 3 types of retirement?Three types of retirement and how to plan for each
Traditional Retirement.
Semi-Retirement.
Temporary Retirement
By the given data we have to match
Offered by a company to employees= 401(K)
A 401(k) plan is a company-sponsored retirement account to which employees can contribute income.
Opened and managed by an individual is IRA.
An individual retirement account (IRA) allows you to save money for retirement in a tax-advantaged way.
Offered by a nonprofit organization to employees is 403(b)
A 403(b) plan allows employees to contribute some of their salary to the plan.
Therefore the matches are 401(K), IRA and 403(b).
To learn more on Retirement plan click:
https://brainly.com/question/20751552
#SPJ5
Shelton mixed one 1/4 cups of purple cabbage into 3/8 cups of lettuce to make a big salad each day he eats 3/4 of a cup of salad which expression shows how many servings salad Shelton has?
Answers
Answer:[tex](1\frac{1}{4} + 2\frac{3}{8} ) / \frac{3}{4}[/tex]
Step-by-step explanation:
The graph and the table show 2 different bicycle riders. Each rider travels at a constant speed. Compare the speeds of the two riders.
Answers
Answer:
C
Step-by-step explanation:
Help plz asap I really need help with this
Answers
Answer:
the only solution is -7
Step-by-step explanation:
i am 95% sure that im right
Answer:
3rd
C
The only solution is -7
Step-by-step explanation:
Approximately 68% of films are rated R. If 800 films were recently rated, how many were rated R?
Answers
Answer:
544 movies were rated R... ooop
Answer:
544 movies
Step-by-step explanation:
800/100 = 8 -- to get 1% of the total movies
8*68 = 544 -- multiplied by 68 to get 68%
Which graph matches the exponential function f(x) = 2(1.5)x?
Answers
Answer: its nit the 3rd one i just took the test
Step-by-step explanation:
I need help math is a pain
Answers
Answer:
The answer is A because A has 9 zeroes behind 3.5
Paige mows 1/4 acre in 1/2 hour. How many acres does Paige mow per hour? Paige mows acre per hour.
Answers
Answer:
Paige mows 1/2 acre per hour
Step-by-step explanation:
1/4=.25
1/2=.5
.25*2=.50
.50*2= 1
Setup an equation and solve.
1.The square of a number equals nine times that number. Find the number
Answers
9
the square of nine is 81 which is nine times nine
What is-1 5/6 times 6 1/2
Answers
Answer:
-11.9166666667
Step-by-step explanation:
Answer:
-11.9166666667
Step-by-step explanation: I just seached it up
Point A is at (-2, 4) and point M is at (2.5, 3.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answers
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
let [tex] A(-2, 4) = (x_2, y_2) [/tex]
[tex] B(?, ?) = (x_1, y_1) [/tex]
[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]
Rewrite the equation to find the coordinates of B
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
Solve for each:
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]
[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]
[tex] 5 = x_1 - 2 [/tex]
[tex] 5 + 2 = x_1 - 2 + 2 [/tex]
[tex] 7 = x_1 [/tex]
[tex] x_1 = 7 [/tex]
[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]
[tex] 7 = y_1 + 4 [/tex]
[tex] 7 - 4 = y_1 + 4 - 4 [/tex]
[tex] 3 = y_1 [/tex]
[tex] y_1 = 3 [/tex]
Coordinates of point B: (7, 3)
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
Rewrite the equation to find the coordinates of B
Coordinates of point B: (7, 3)
During the 2017 Major League Baseball season, the Detroit Tigers played 162 games . They lost 34 more games than they won. What was the teams win-loss record? Help me please .
Answers
Answer:
win: 64
loss: 98
Step-by-step explanation:
win: x
loss: x + 34
win + loss = total games
x + x + 34 = 162
2x + 34 = 162
2x = 128
x = 64
win: 64
loss: (64) + 34 = 98
How do you find equivalent ratios? HELP HELP HELP!!! I NEED THE ANSWERS ASAP!!!
Answers
Answer:
multiply or divide both quantities by the same number
Step-by-step explanation:
To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions
Answer:
1. True
5/7= 0.714285
20/28= 0.714285
2. False
11/13= 0.846
22/25= 0.88
If Micah save $150 how much money will his parents give him
Answers
Answer:
$300
Step-by-step explanation:
150/5 = 30, 30 x 10 = 300
A rectangular swimming pool has a width of 45 feet and an area of 2250 square feet. What is the pool's length?
Answers
Answer:
the pools length is 50ft^2
Step-by-step explanation:
A=l*w
2250=l*45 (u do the opposite operation)
2250/45=50
l=50
we know that,
area of the rectangle = L×B
length =area /breadth
length = 2250/45
length= 50 feet
hope it helps u and pls mark it as brainliest
90 times 10 the power of 4
Answers
Answer:
90000
Step-by-step explanation:
can you explain the standard form of a line in algebra 1 ?
Answers
Good luck.
How do you divide 34.2 / 7.6 and show your work
Answers
Answer:
9/2
Step-by-step explanation:
first you convert the decimal number into a fraction
34.2/7.6= 171/5 over 7.6
then it becomes 171/5 over 38/5
then you reduce the fraction with five(so you cross out the 5's)
now youre left with 171/38
then you reduce the fraction with 19
now you have 9/2
9/2 is your answer
48 on shelves how many on 12 shelves
Answers
Answer: 96 books
If 6 shelves have 48 books on them, this is one half of 12 shelves, because 6 is one half of 12 shelves.
There are 12 shelves. So, multiply 48 by 2.
48 x 2 = 96.
Answer to the question = 96
An exotic-animal rancher needs to purchase feed for his unicorns. Unfortunately, commercial unicorn feed is not available. The unicornsrequireat least12 milligrams of zinc, 36 grams of protein, and 24 ounces of carbohydrates per day. A small bagof pegasus feed contains 2 milligrams of zinc, 2 grams of protein, and 2 ounces of carbohydrates, and it costs $25. A small bagof hippogriff feed contains 1milligram of zinc, 9 grams of protein, and 3 ounces of carbohydrates, and it costs $20. How many bags of each should the farmer purchase in order to supply the unicorns with the required nutrients for the lowest cost, and what is the minimum cost?
Constraints:
Objective Formula:
Answers
Answer:
Do you go to Carnegie?
Step-by-step explanation:
Rectangle A is enlarged to create Rectangle B.
Rectangle A measures 4.1 cm by 5.2 cm.
Rectangel B measures 12.3 cm by 15.6 cm.
What is the scale factor?
Answers
Answer:
itz 5
Step-by-step explanation:
i took quiz
In a recent car study, 55% of the cars tested failed the safety test. If 231 cars failed the test. How many cars were tested.?
Answers
Answer:
420 Cars were tested
Step-by-step explanation:
231×100÷55=420
what is the ratio of 6 to 26 expressed as a fraction in simplest from?
Answers
Answer:
8 : 5
simple math
Help fast fast!!! I'm begging
Answers
Answer:
28
Step-by-step explanation:
Hope this helps
Last year a sports team made $2,000,000 in profit, and this year it increased its profits
to $2,500,000. How much money was made on food sales in both years based on how
the sports team makes its profits:
• Programs: 15%
• Food: 40%
• Souvenirs: 25%
• Tickets: 20%
Answers
1,000,000
2,500,000x0.4 (40 as a decimal) = 1,000,000
If a room has 28 people in it, how many people Are in a room 14 times it’s size?
Answers
Answer:
392
Step-by-step explanation:
times 28 by 14 and youll get 392 - may i get brainliest :)
Answer:
392 people would be in the room
Step-by-step explanation:
you do 8 times 4 which is 32 then you multiply 8 times 10= 80 add them together 112, then multiply 20 times 4= 80, finally 10 time 20=200 add all together it equals 392