Answers
Answer:
Yes
Step-by-step explanation:
Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
m=1*(24+-1*15)/(8+-1*5) | add 24 to -15
m=1*9/(8+-1*5) | add 8 to -5
*m=1*9/(8+-5) | Divide 9 by 3
m=1*3
Calculate the y-axis intercept b by inserting:
General form of the linear function: f(x)=mx+b
Insert 3 for m, 5 for x and 15 for f(x).
| Multiply 3 by 5
15=3*5+1*b | Swap both sides of the equation.
1*b+15=15 | -15
1*b=0
So, the y-axis intercept is at 0
Therefore, the equation of the function is f(x)=3*x+0
Related Questions
Please Help!! Brainliest Answer! Thank you
Answers
Answer:
A. 4.59Step-by-step explanation:
tanФ = opp / adj.
where Ф = 74, opp = 16, adj. = x
find: x
just plugin the values into the formula
tanФ = opp / adj.
tan(74) = 16/ x
x = 16
tan(74)
x = 4.59
A teacher buys pizza for her class. There are 5 pizzas, each with 8 slices. If she has 25 students, how many slices of pizza does each student get?
Group of answer choices
Answers
Solve the equation 4a – (6 – 5a) + 12 = 3a + 2(2a – 4) for a.
Could you help me?
There are no options for this answer. It must be solved
Answers
Answer:
a = -7
Step-by-step explanation:
4a – (6 – 5a) + 12 = 3a + 2(2a – 4)
x and y together represent what?
Answers
Answer:
xy
Step-by-step explanation:
or like a graph, I think you need more. or they represent the x axis and the y axis
Which table represents m as a function of t?
Answers
Answer:
B.
Step-by-step explanation:
B has no repeating values for t
I need help ASAP !!!plz
Answers
Answer:
80 degree angle
Step-by-step explanation:
Answer:
80 degrees
because its lower than a 90 :))
4.6 + 1.2x = 68.2 -1.8x I need help please and Thank you so much!
Answers
Answer:
x = 21.2
Step-by-step explanation:
Mark me Brainliest?
7. A lifeguard received 16 hours of first aid training and 8 hours of
cardiopulmonary resuscitation (CPR) training. Write the ratio of hours of
CPR training to hours of first aid training.
a. 8:16
b. 16: 8
Answers
Answer:
A
Step-by-step explanation:
8 hours were spent in CPR training and 16 hours were spent in first aid training so the ratio of hours of CPR to hours of first aid training is 8: 16.
Which number is both a perfect square and cube? A.9 B.64
C.256 D.512
Answers
Answer:
B. 64
A perfect cube of square is 64
Step-by-step explanation:
Answer:
B: 64
Step-by-step explanation:
The Square root for 64 will be: 8
The Cube root for 64 is: 4
Hope I could help! Have a great day!!
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b + 2 c + 3 j b+2c+3jb, plus, 2, c, plus, 3, j where b bb is the number of hours Ben spends chopping, c cc is the number of hours Cam spends chopping, and j jj is the number of hours Justin spends chopping.
Answers
Consider the complete question is "Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j, where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?"
Given:
Total number of trees chopped by them = [tex]b+2c+3j[/tex]
b = number of hours Ben spends chopping = 8
c = number of hours Cam spends chopping = 3
j = number of hours Justin spends chopping = 4
To find:
The numerical value of total number of trees chopped by them.
Solution:
Total number of trees chopped by them = [tex]b+2c+3j[/tex]
Put [tex]b=8, c=3[/tex] and [tex]j=4[/tex] in the given expression.
[tex]Total=8+2(3)+3(4)[/tex]
[tex]Total=8+6+12[/tex]
[tex]Total=26[/tex]
Therefore, total number of trees chopped by them is 26.
In a bag there are 14 blue marbles, 20 red marbles, 4 green marbles, and 12 yellow marbles, what is the probability of drawing a yellow marble?
Answers
Answer:a good chance of getting a yellow marble
Step-by-step explanation:
James can run 4/5 of a mile in 2 minutes how far can he run in 1 minutes?
Answers
help !!!! I will mark as brainliest 20 points !!!! solve both of question !!!
pls show work !!! thanks
Answers
Answer:
a). k ≥ -1
b). k < 5
c). k ≤ 2
d). k > -3
Step-by-step explanation:
a). k ≥ - 3 + 2
k ≥ -1
b). 3k < 16 - 1
3k < 15
k < 5
c). -4k ≥ -5 - 3
4k ≤ 8
k ≤ 2
d). 3k > -10 + 1
3k > -9
k > -3
Answer:
solution is on the picture attached
Hope this helps
(PowerToys) PowerToys Inc. produces a small remote-controlled toy truck on a conveyor belt with nine stations. Each station has, under the current process layout, one worker assigned to it. Stations and processing times are summarized in the following table: a. What is the bottleneck in this process? b. What is the capacity, in toy trucks per hour, of the assembly line? c. What is the direct labor cost for the toy truck with the current process if each worker receives $15 /hour, expressed in dollars per toy truck? d. What would be the direct labor cost for the toy truck if work would be organized in a work cell, that is, one worker performs all tasks? Assume that the processing times would remain unchanged (i.e., there are no specialization gains). e. What is the utilization of the worker in station 2 ? Because of a drastically reduced forecast, the plant management has decided to cut staffing from nine to six workers per shift. Assume that (i) the nine tasks in the preceding table cannot be divided; (ii) the nine tasks are assigned to the six workers in the most efficient way possible; and (iii) if one worker is in charge of two tasks, the tasks have to be adjacent (i.e., one worker cannot work on tasks 1 and 3 ). f. How would you assign the nine tasks to the six workers? g. What is the new capacity of the line (in toy trucks per hour)?
Answers
The bottleneck in the process is Station 5, with a processing time of 8 minutes. The capacity of the assembly line is approximately 1.76 toy trucks per hour.
a. The bottleneck in this process is the station with the longest processing time. In this case, Station 5 has the longest processing time of 8 minutes. The bottleneck is the station that limits the overall capacity of the assembly line because it takes the longest time to complete its task.
b. To calculate the capacity of the assembly line, we need to determine the cycle time, which is the time it takes for one complete cycle of the assembly line. The cycle time is equal to the sum of the processing times at each station. In this case:
Cycle time = 1 + 2 + 3 + 4 + 8 + 6 + 5 + 3 + 2 = 34 minutes
To calculate the capacity in toy trucks per hour, we need to convert the cycle time from minutes to hours:
Capacity = 60 minutes / 34 minutes = 1.76 toy trucks per hour
c. The direct labor cost for the toy truck with the current process can be calculated by multiplying the number of workers assigned to each station by their hourly wage, and then dividing it by the number of toy trucks produced per hour. Since there is one worker per station and each worker receives $15 per hour, the direct labor cost per toy truck can be calculated as follows:
Direct labor cost = (Number of workers × Hourly wage) / Capacity
= (9 workers × $15/hour) / 1.76 toy trucks per hour
≈ $80.68 per toy truck
d. If the work were organized in a work cell, with one worker performing all tasks, the direct labor cost would remain the same. Each worker would still receive $15 per hour, regardless of the number of tasks they perform. There would be no specialization gains in this scenario, so the direct labor cost per toy truck would still be approximately $80.68.
e. To determine the utilization of the worker in station 2, we need to compare the processing time at that station to the cycle time of the assembly line. The processing time at station 2 is 2 minutes, and the cycle time is calculated as 34 minutes (as mentioned in point b).
Utilization = Processing time at station 2 / Cycle time
= 2 minutes / 34 minutes
≈ 0.059 or 5.9%
This means that the worker in station 2 is only utilized for about 5.9% of the cycle time, indicating that they spend most of their time waiting for the other stations to complete their tasks.
f. With the reduced staffing from nine to six workers per shift, the tasks should be assigned to the six workers in the most efficient way possible. One possible assignment could be as follows:
Worker 1: Stations 1 and 2
Worker 2: Stations 3 and 4
Worker 3: Stations 5 and 6
Worker 4: Stations 7 and 8
Worker 5: Station 9
Worker 6: No assigned task (idle)
g. To calculate the new capacity of the line with six workers, we need to determine the total processing time for the new assignment. The total processing time would be the sum of the processing times at each station assigned to a worker:
Total processing time = 1 + 2 + 6 + 5 + 3 + 2 = 19 minutes
The new capacity of the line would be the reciprocal of the total processing time:
Capacity = 60 minutes / 19 minutes = 3.16 toy trucks per hour
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Allison can sew three scarves in 75 minutes. How many scarves can she sew in four hours?
Answers
Answer:
2.4
Step-by-step explanation:
75/3=25.
So she can do 1 scarf in 25mins
60/25=2.4
she can do 2.4 scarfs in one hour
Answer:
9.6 or 9 whole scarves
Step-by-step explanation:
You have to change the 4 hours into 240 minutes.
You can set it up as a proportion.
[tex]\frac{3}{75}[/tex] and [tex]\frac{x}{240}[/tex]
Then you need to set it up as:
75 x = 240 · 3
Then you get:
75 x = 720
Now you set it up as:
x = 720 ÷ 75
When you divide you get 9.6.
So, X = 9.6.
Allison can sew 9 whole scarves in four hours. The answer could also be 9.6 scarves. Not sure which one you need.
Which number below is NOT a rational number?
O 25%
10
O2
Answers
Answer:
2.
Step-by-step explanation:
prove that the sum of the squares of any two consecutive odd integers is even.
Answers
any multiple of 2 is even, we can conclude that the sum of the squares of any two consecutive odd integers is even.
Let's say that the two consecutive odd integers are x and x + 2.
So, we can represent the sum of their squares as:x^2 + (x + 2)^2Expanding this out, we get:x^2 + (x^2 + 4x + 4)
Combining like terms, we can simplify this to:2x^2 + 4x + 4Factoring out a 2, we get:2(x^2 + 2x + 2)
So, the sum of the squares of any two consecutive odd integers is 2 times an integer (x^2 + 2x + 2).
Since any multiple of 2 is even, we can conclude that the sum of the squares of any two consecutive odd integers is even.
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Which of the following actions will always increase voltage?
A: Decreasing resistance and increasing current
B: Decreasing resistance and keeping current constant
C: Increasing resistance and keeping current constant
D: Increasing resistance and decreasing current
Answers
Answer:
The decreasing resistance and keeping current constant leads decreasing in voltage option (C) is correct.
What is voltage?
Voltage is the force applied by the power source to charged electrons in a conducting loop, allowing them to perform tasks such as igniting light.
As we know according to the ohm's law:
V = IR
Where 'V' is the volatge,
'I' is the current.
'R' is the resistance.
If we assume 'I' is constant
Then V∝R
As the resistance increases the voltage increases and vice versa.
Thus, the decreasing resistance and keeping current constant leads decreasing in voltage option (C) is correct. HOPE THIS HELPS!
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Step-by-step explanation:
helppp !! what is the domain of the function shown in the table?
х
2
4
6
8
y
3
4
5
6
A. {2, 3, 4, 5, 6, 8}
B. {3, 4, 5, 6}
C. (2,3), (4,4),(6,5), (8, 6)
D. {2, 4, 6, 8}
Answers
Answer:
D is the correct answer i think
Step-by-step explanation:
Domain of the function is option (D) {2, 4, 6, 8}
What is Domain?The domain of a function is the set of inputs accepted by the function.
What is Function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
From the given table,
Domain of the function is {2, 4, 6, 8}
Because the domain of a function is the set of inputs accepted by the function.
Hence, Domain of the function is option (D) {2, 4, 6, 8}
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Please help me out with this! :> ~Narancia
Answers
Answer:
7 the answer is 7
Step-by-step explanation:
Answer:
70
Step-by-step explanation:
you want to see how many times 800 can go into your number so the answer would be 70
Your answer
b. To find 36 x 19, I find 36 times 20 and remove 1 group of 36. *
Your answer
Answers
Answer:
684
Step-by-step explanation:
36
x19
let calculator do the rest and then ur done
Given: F(x) = 2x and G(x) = x^2+ 2
Find F/G(-1).
2/3
-2/3
-2
Answers
Answer:
second option
Step-by-step explanation:
F (-1) = 2 (-1)
= -2
G (-1) = (-1)^2 + 2
= 1 + 2
= 3
Start by graphing either y= x
1
or y= x 2
1
and modify that function to create the graphs of other algebraic functions with the following properties:
one vertical asymptote (no horizontal asymptote)
one horizontal and two vertical asymptotes
one horizontal asymptote (no vertical asymptote). Ensure that the entire function 2c is in the positive halfplane.
For each of the three graphed functions, list its equation, domain, range, and asym
Answers
1. There are no asymptotes for this function.
2. Vertical asymptote at x = 0, no horizontal asymptote
3. Vertical asymptotes at x = 2 and no horizontal asymptote
4. Horizontal asymptote at y = 0, no vertical asymptote
Let's start by graphing the function y = x^2.
Graph of the function y = x^2:
Equation: y = x^2
Domain: All real numbers (-∞, ∞)
Range: All non-negative real numbers [0, ∞)
Asymptotes: There are no asymptotes for this function.
Modifying the function to create a graph with one vertical asymptote (no horizontal asymptote):
Equation: y = 1/x
Domain: All real numbers except x = 0 (-∞, 0) U (0, ∞)
Range: All real numbers except y = 0 (-∞, 0) U (0, ∞)
Asymptotes: Vertical asymptote at x = 0, no horizontal asymptote
Modifying the function to create a graph with one horizontal and two vertical asymptotes:
Equation: y = 1/(x - 2)
Domain: All real numbers except x = 2 (-∞, 2) U (2, ∞)
Range: All real numbers (-∞, ∞)
Asymptotes: Vertical asymptotes at x = 2 and no horizontal asymptote
Modifying the function to create a graph with one horizontal asymptote (no vertical asymptote):
Equation: y = 2/(x + 1)
Domain: All real numbers except x = -1 (-∞, -1) U (-1, ∞)
Range: All real numbers (-∞, ∞)
Asymptotes: Horizontal asymptote at y = 0, no vertical asymptote
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need to know now!!! giving 10 points what -6+8
Answers
Answer:
the answer is 2...................
Step-by-step explanation:
-6+8=2
Answer:
-6+8= 2 draw a line then write at the center 0 to the left write negative integers to your write positive integers-6 +8 move 8 steps forward from-6 and you will be at 2 that's the answer
Write an expression that represents the perimeter of the triangle?
Answers
Answer:
(3m - 2) + (5m - 2) + (2m + 7)
Step-by-step explanation:
When you add all the sides together, you get the perimeter.
The expression of the perimeter of the triangle is 10m + 3.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
The three sides of the triangle are:
2m + 7
3m - 2
5m - 2
Now,
The perimeter of the triangle.
= Sum of all the sides
= 2m + 7 + 3m - 2 + 5m - 2
= 10m + 7 - 4
= 10m + 3
Thus,
The perimeter of the triangle is 10m + 3.
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why mathematics is neccessary for students?explain
Answers
Three packages of egg noodles cost $6. 72. How much does each package cost? $2. 24 $2. 37 $2. 22 $2. 38
Answers
The cost of each package of egg noodles is $2.24. The answer is option A.
To find the cost of each package of egg noodles, you need to divide the total cost by the number of packages. In this case, there are three packages and the total cost is $6.72. Therefore, we need to divide $6.72 by 3 to find the cost of each package of egg noodles. Now, let us solve the problem step by step.Step 1: Identify the given valuesTotal cost of three packages of egg noodles = $6.72Step 2: Identify what you are looking for Cost of each package of egg noodlesStep 3: Set up the equationLet x be the cost of each package of egg noodles. Since there are three packages of egg noodles and their total cost is $6.72, we can write:3x = $6.72Step 4: Solve the equation Divide both sides of the equation by 3:x = $6.72 ÷ 3x = $2.24Step 5: Check your answernTo check your answer, substitute $2.24 for x in the original equation:3($2.24) = $6.72The left side simplifies to $6.72, which is equal to the right side. Therefore, $2.24 our answer is correct.
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Amanda reads 300 pages in 10 hours. If each page has 200 words on it, how many words did Amanda read per minute?
Answers
Answer:
so that means you would divide 300 by 10 and that means she reads 30 pages in 1 hour so if you do 30 divided by 60 or 1 hour you get 0.5 pages so she reads 100 words in 1 minutes
Step-by-step explanation:
Answer:
100
Step-by-step explanation:
So if there is 200 word per page it will be 200×300, which is 60,000. We are trying to find words per minute, so we do; 10×60 (1 hour=60minutes) which is 600. so to find the words per minute we do:
60,000÷600=100
1. If AC=27 and BC = 9, then AB = ?
Answers
what is a equation of the line that passes through the point (-4,-6) and is parallel to the line 3x-y=6
Answers
Answer:
[tex]y=3x+6[/tex]
Step-by-step explanation:
When solving these types of problems you need to know how to write a line that is parallel to another line. Parallel lines have the same SLOPE but different y-intercepts. But in order to do this, we need to convert this equation to slope-intercept form: y=mx+b.
First, we want to get -y by itself therefore we want to subtract 3x on both sides to get [tex]-y=-3x+6[/tex]. We then want to isolate y by dividing by -1 on each side to get the new equation [tex]y=3x-6[/tex]. We can then use this equation to make a line that is parallel.
Utilizing the slope from the original equation (3) and using the same format for slope-intercept, we get [tex]y=3x+b[/tex]. Our line goes through a certain point therefore our x and y values are given so that our equation looks like [tex]-6=3(-4)+b[/tex]. We now simplify to get [tex]-6=-12+b[/tex] and add 12 on both sides to get b by itself [tex]b=6[/tex].
Lastly, we have all our values and now just need the equation for the line which leaves us with [tex]y=3x+6[/tex].
If you don't understand something or need more help, feel free to ask.
