Question: Tell whether each function is linear or non-linear.
Choices:
A. Function A is non-linear and Function B is non-linear.
B. Function A is linear and Function B is non-linear.
C. Function A is linear and Function B is linear.
D. Function A is non-linear and Function B is linear.
Answers
Just to avoid some confusion: the first picture is a graph of function A, and the second picture is a graph of function B.
Answer:
D. Function A is non-linear and Function B is linear.
Step-by-step explanation:
A good way to find out if a function is linear is by graphing it. If you graph it and it is a straight line, then it is linear.
So, let's graph the given points from the table of Function A and see if it forms a straight line. When you connect the dots, it's not straight, so Function A is non-linear.
Now let's look at function B. We can graph that too with the given information from the equation - the slope is -1 and the y-intercept is 5. (If you are a bit confused on how to graph it, don't hesitate to ask!) It does form a straight line, so Function B is linear.
The solution is Option D.
Function A is non-linear and Function B is linear.
What is Linear Equation in 2 variables?
An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e a and b respectively, are not equal to zero.
Given data ,
Let the first equation be A
Let the second equation be B
where
The function A is represented by y = x³
The function B is represented by y = -x + 5
Now ,
We can see that the linear equation A is of the form y = x³ , and this is a cubic relation and it is a non linear graph
The function B is a linear equation of the form y = mx + c , which is the linear equation for a line with slope -1
So , the function B y = -x + 5 is linear
Hence , the Function A is non-linear and Function B is linear.
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Related Questions
Find the slope and the y-intercept of the line whose equation is -5x+3y-8=0
Answers
slope = 5/3x
y intercept = 8/3
Step-by-step explanation:
3y = 5x + 8 + 0
divide all the numbers by 3
y = 5/3x + 8/3
Juan read 300 pages in 5 days which reading rate is equivalent. A.150 pages in 3 days. B.120 pages in 2 days. C.105 pages in 1 day D.100 pages in 3 days
Answers
Whoever can put this in the comments I mean the answer get the free blaringly Supreme Mike if your first one to answer you get apprised like a crown
Answers
Answer:
hi
Step-by-step explanation:
hello can anyone please help me??
Answers
Answer:
c. y + 268 = 12(x + 20)
Step-by-step explanation:
plug in -1 for x and you'll get -40
A company has to buy computers and printers. Each computer costs $550 and each printer costs $390. If
the company spends $8160 and buys a total of 16 machines, how many of each did it buy?
a. Let Statements:
b. Write the system:
Answers
Answer:
Answer:the company bought 12 computers and 4 printers.
Step-by-step explanation:
Step-by-step explanation:
Let x represent the number of computers that the company bought.
Let y represent the number of printers that the company bought.
The company buys a total of 16 machines. It means that
x + y = 16
Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that
550x + 390y = 8160 - - - - - - - - - - 1
Substituting x = 16 - y into equation 1, it becomes
550(16 - y) + 390y = 8160
8800 - 550y + 390y = 8160
- 550y + 390y = 8160 - 8800
- 160y = - 640
y = - 640/ - 160
y = 4
Substituting y = 4 into x = 16 - y, it becomes
x = 16 - 4
x = 12
Answer:
The company bought 12 computers and 4 printers.
Step-by-step explanation:
Let x represent the number of computers that the company bought.
Let y represent the number of printers that the company bought.
The company buys a total of 16 machines. It means that
x + y = 16
Each computer costs $550 and each printer costs $390. If the company spends $8160 for all the computers and printers that was bought, it means that
550x + 390y = 8160 - - - - - - - - - - 1
Substituting x = 16 - y into equation 1, it becomes
550(16 - y) + 390y = 8160
8800 - 550y + 390y = 8160
- 550y + 390y = 8160 - 8800
- 160y = - 640
y = - 640/ - 160
y = 4
Substituting y = 4 into x = 16 - y, it becomes
x = 16 - 4
x = 12
What is the equation in point-slope form of the line that passes through the point (4,-5) and has a slope of 2/3?
Answers
Answer: I believe the correct answer is the last one but I’m not entirely sure, wait for someone else to answer.
Step-by-step explanation:
Answer:
third one
Step-by-step explanation:
point-slope form is y - y1 = m(x - x1)
plug in values y -(-5) = 2/3(x - 4)
the double negative cancels out and becomes a positive
therefore y + 5 = 2/3(x - 4)
the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rectangle
Answers
Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 The width is 7
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The Length is 10.
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Dimensions of the rectangle are length=10 meter and width= 7 meter
What is Rectangle?A rectangle is a quadrilateral with four right angles.
Given,
The length of a rectangle is 4 meter less than twice its width
Consider,
l is the length of the rectangle
w is the width of the rectangle
l=2w-4
Area of the rectangle = Length × Width
70=l × w
Substitute the value of l is the second equation
70=(2w-4)×w
[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]
Take 2 outside
[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]
w=7,-5
Hence w wont be negative value
Therefore w=7 meter
Then,
l×w=70
[tex]l=\frac{70}{7}\\[/tex]
l=10 meter
Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter
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30 points and BRAINLiEST PLS HELP!!
What decimal number does point A on the number line below represent?
A vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4. Only the whole numbers are labeled. Point A is plotted at the first tick mark below negative 1.00.
−0.75
0.75
−1.25
1.25
Answers
Answer:
Fr
Step-by-step explanation:
Answer:
-0.75
Step-by-step explanation:
2/5x+4 =1/5x+8
I give up I hate math
Answers
2/5x+4-1/5x=1/5x+8-1/5x
1/5x+4=8
1/5x+4-4=8-4
1/5x+4
5*(1/5x)=(5)*(4)
x=20
There are 4 squares and 10 circles. What is the simplest ratio of squares to circles ? Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answers
Answer:
2:5
Step-by-step explanation:
Simplify
pls help d ⋅ 24 = -12
d =?
Answers
Answer:
d = -0.5
Step-by-step explanation:
Original equation:
24d = -12
Divide both sides by 24
d = -0.5
Hope this helps :)
Please consider Brainliest :)
Answer:
-0.5
Step-by-step explanation:
-12/24=-0/5 and ur left with d
75% of 164 is _____________
Answers
Answer: 123 IS
Step-by-step explanation:
Answer: 123
Step-by-step explanation:
Don’t know how to do it with out a calculator, but you press 75 the the green 2nd button a then the number 2. Then multiply by 164.
If you roll a numbered cube labelled 1 - 6 once, how likely is it that you would randomly roll a number less than 5
Answers
Answer:
4/36 (11.111%)
Step-by-step explanation:
What is the coefficient of the term 53xy ?
5xy
5/3
5
1/3
Answers
Answer:
It's 53, unless you entered the problem wrong then its 5/3
Step-by-step explanation:
Coefficents are the numbers attached to unknown variables
Andrea earned 200 points on a school assignment. Because the
assignment was turned in late, the score was reduced to 20 points.
What was the percentage decrease in the score?
Symbol requiere
Answers
Answer:
It was approximately a 9% decrease. (If you need to round to the nearest tenth, 9.1. If you need to round to the nearest hundredth, 9.10).
Step-by-step explanation:
I am going to assume that the question means that Andrea could have earned 220 points on the assignment, but instead because the assignment was late, she was marked down 20 points. (Reduced to 20 points is kind of awkward wording).
Given that, 20 divided by 220 comes out to 0.0909 repeating.
0.09, as a percentage, is 9%. (Again, 0.0909, 9.09%, could be rounded up to 9.1%).
Hope this helps!
what's a Number line ?
Answers
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
A rectangular soccer field is 80 meters wide and 110 meters long. The coach asks players to run from one corner of the field to the opposite corner diagonally. How far do the players have to run?
Answers
Answer:
Step-by-step explanation:
Goven the length of the field = 110m
Width = 80m
The length of the diagonal is expressed using the pythagoras theorem;
d² = l² + w²
d² = 110² + 80²
d² = 12100 + 6400
d² = 18500
d = √18500
d = 136.01
Hence the players have to run 136.01m diagonally
7(2 - 3x) - 10
Simplify expressions
Answers
Answer:
4-21x
Step-by-step explanation:
How do you rearrange an equation so that the X is alone ?
Example: (g=6x),
(Z=m-x)
Or (u=2x-2)
Please help !
Answers
Find the unit rate: 180 miles in 3 hours
Answers
Answer:
60/1 or 60
Step-by-step explanation:
Divide 180 by 3
60
So the unit rate is 60/1
Answer:
60 miles per hour
Step-by-step explanation:
The unit rate is the number of miles traveled per hour. To solve this divide the total miles traveled by number of hours, 180/3. The quotient is 60.
Evaluate 4b – a when a = 12 and b=7.
4b - a= 0
Answers
Answer: 4b - a = 15
Step-by-step explanation: if you replace the variables with their equivalent counterparts you get the equation 4(7) - 12 = __ when you do the math make sure to do the parentheses first then subtract, just like in elementary school remember pemdas parentheses, exponents, multiplication, division, addition, subtraction. I hope this helps.
4(7) - (12)
28 - 12
16
HELP MEEEEEEEEE
how many grams are in 562 dg?
Answers
Answer: the answer is 56.2 g
Step-by-step explanation:
562 dg * 1 g/10 dg = 56.2 g
hope i helped
-lvr
2 4/5 ÷ 2 1/5 =
(Please answer as a fraction)
Answers
Answer:
1 3/11
Step-by-step explanation:
5. If your friend's doctor wants her target heart rate range to be between 143 and 170, and her
average resting heart rate is 62, what is her age? How did you backtrack through these equations
to find her age?
Fast please
Answers
Answer:
a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm. so around 21.
Step-by-step explanation:
A survey of Mr. Young's class shows that 1 out of 3 students are going to buy a pool pass for the summer. Based on this result, how many of the 630 students in the school are expected to buy a pool pass?
Answers
Answer:
210 students
Step-by-step explanation:
1/3 of 620 is 210
Please help will give brainliest to answer
Answers
Answer:
your intire hw is not worth 5 pts but I will say that to find the slope is how many times the line goes up or down and to the right and left until it reaches the next dot
Pls answer I’ll give u 10 points
Answers
Answer: Yes because 2/7=3/6
Step-by-step explanation:
Answer:
de con es fueron des marchas
Em quantos meses um capital de R$4.000,00 aplicado a uma taxa de juros simples de 29,3% ao ano, renderá de juros o valor de R$586,00? Insira sua resposta 3.Se uma pessoa necessitar de R$100.000,00 no futuro e depositar hoje R$90.909,09 em uma aplicação com taxa de juros simples de 12% ao ano, levará quantos meses para resgatar o dinheiro desejado?
Answers
Responda:
6 meses
10 meses
Explicação passo a passo:
Dado que:
Principal = 4000
Juros = 586
Taxa (r) = 29,3% ao ano = 0,293
Juros simples = principal * taxa * tempo
586 = 4000 * 0,293 * t
586 = 1172t
t = 586/1172
t = 0,5 anos
Tempo = (0,5 * 12) = 6 meses
B.)
principal = $ 90909,09
Montante final = 100.000
Taxa (r) = 12% = 0,12
Usando a fórmula:
Quantidade final = p (1 + rt)
Taxa = r; t = tempo
100000 = 90909,09 (1 + 0,12t)
100000 = 90909,09 + 10909,0908t
100000 - 90909,09 = 10909,0908t
9090,91 = 10909,0908t
t = 9090,91 / 10909,0908
t = 0,8333334
Número de meses:
0,8333334 * 12
= 10 meses
a plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane
Answers
Answer:
357 passengers
Step-by-step explanation:
[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)
When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]
Finally, multiply 17 by 21 to get x.
Therefore, x=357
One serving of tortilla soup is 1 2/3 cups. A restaurant cook makes 50 cups
of soup. Is there enough to serve 35 people? Explain