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
please help me with this question
Answers
Answer:
First question is 109
Second question is 45, but I guess it's a typo with 145.
What is the slope of this line?
Points on this line include (1,3) (2,6) and (3,9). Number only. Just write the slope in simplest form.
Answers
4. 8(0 - 9) = 6(2 - 12) - 40
Answers
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?
Answers
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x
Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1
Perimeter of a rectangle = 2(length + breadth)
50 = 2(2x + 1 + x)
50 = 2(3x + 1)
50 = 6x + 2
6x = 50 - 2
6x = 48
x = 48/6
x= 8
Width = 8ft
Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft
Area = Length × Width = 17 × 8 = 136ft^2
Find the length of the rectangle if the perimeter is 244 yards the length is 18 less than three times the width?
Answers
Answer:
The Length of rectangle is 87 yards.
Step-by-step explanation:
Let width = w
Length = 3w-18
Perimeter of rectangle = 244 yards
We need to find length of rectangle.
First we need to find value of w
The formula used will be: [tex]Perimeter=2(length+width)[/tex]
Putting values and finding w
[tex]Perimeter=2(length+width)\\244=2(3w-18+w)\\244=2(4w-18)\\244=8w-36\\244+36=8w\\8w=280\\w=\frac{280}{8}\\w=35[/tex]
So, w= 35
The width of rectangle w = 35 yards
The length of rectangle l = 3w-18 = 3(35)-18 = 105-18 = 87 yards.
So, the Length of rectangle is 87 yards.
Patti got a new part-time job. Her hourly wage increased from $10.50 to $12.39. What was the percent increase in Patti's hourly wage?
Answers
Answer:
18%
Step-by-step explanation:
Subtract $10.50 from $12.30 and you will get 1.8.
Then divide 1.8 to 100 (because 100% = total) and you will get 0.018 which means 18%. Her hourly wage increased by 18%.
Please help me!!!!!! I really neeeeeeed
Answers
Answer:
A-(x+4,y-5)
B- move 1 unit left and 7 units down
Step-by-step explanation:
A- 4 units right is x so
(x+4,y__)
5 units down is y so
(x+4,y-5)
B- move 1 unit left and 7 units down
because (x-1,y__) is going left because of the subtraction sign and its the x-coordinate, and (x-1,y-7) is down because its a Y-coordinate and sub so its going down.
TIP- Going left/down is always subtract/negative going right/up is positive/addition.Find the measure of one exterior angle of each regular polygon. Round to the nearest tenth if necessary
Answers
Answer:
40 degrees
Step-by-step explanation:
360/9=40
The solution is 40°
The measure of one exterior angle of a nonagon is is given by the equation A = 360°/9 and the measure of A is 40°
What is the sum of an exterior angle of a polygon?
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line
Sum of exterior angles of a polygon = 360°
Measure of each exterior angle = 360° / N
where N is the number of sides
Given data ,
Let the measure of each exterior angle be = A
Let the number of sides of the polygon be = N
Now , the polygon is a nonagon
So , the number of sides N = 9
Now , The sum of exterior angles of a polygon is 360°
So ,
The measure of each exterior angle is given by the equation 360° / N where N is the number of sides
Substitute the value for N in the equation , we get
The measure of each exterior angle = 360°/9
The measure of each exterior angle = 40°
Therefore , the value of A is 40°
Hence , the measure of each exterior angle is 40°
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What is the length of line segment BC
Answers
Answer:
BC = 1
Step-by-step explanation:
AB = x + 16
BC = x +6
AB + BC = AC
x + 16 +x + 6 = 12
x + x + 16 + 6 = 12
2x + 22 = 12
2x = 12 - 22
2x = -10
x = -10/5
x = - 5
BC = x + 6 = - 5 + 6 = 1
Answer:
BC = 1
Step-by-step explanation:
Frm the diagram
AB + BC = AC , substitute values
x + 16 + x + 6 = 12
2x + 22 = 12 ( subtract 22 from both sides )
2x = - 10 ( divide both sides by 2 )
x = - 5
Thus
BC = x + 6 = - 5 + 6 = 1
PLEASEEE HELP WILLL GIVE BRAINLEAST!!!!!!
Which equation models the trend line?
A. y = –1.3x + 2
B. y = 1.3x + 2
C. y = –1.3x – 2
D.y = 1.3x – 2
Answers
Answer:
B. y = 1.3 + 2
Step-by-step explanation:
The slope is positive, and the y intercept is at positive 2.
what is the cost per ounce for 10 ounce package of cashews
Answers
Answer:
you have to give more explanation as right now the equation is unsolvable
Step-by-step explanation:
Find all solutions of
- 2r +4-8=0
Answers
Answer: -2
Step-by-step explanation: 4-8= -4 then it ends up being -2r-4=0
Then you add 4 to 0 so -2r=4 then divide
Can someone please help me with solving this maths question?
Answers
Answer:
CD = 7
Step-by-step explanation:
Given that the triangles are congruent, then corresponding sides are congruent, that is
CD = AB , substitute values
3y + 1 = 15 - 4y ( add 4y to both sides )
7y + 1 = 15 ( subtract 1 from both sides )
7y = 14 ( divide both sides by 7 )
y = 2
Thus
CD = 3y + 1 = 3(2) + 1 = 6 + 1 = 7
why does math have to be so hard
Answers
Answer:
Math seems difficult because it takes time and energy. Many people don't experience sufficient time to "get" math lessons, and they fall behind as the teacher moves on. Many move on to study more complex concepts with a shaky foundation. We often end up with a weak structure that is doomed to collapse at some point.
Math is hard because it is a non-intuitive, non-natural activity. Math don't happen by chance only, it only happens with deliberate, focused work. For this you expend a lot of energy and cause a lot of mental strain, you put yourself on an uncomfortable condition for hours, days, sometimes weeks to solve a problem.
But some people love math, like me, because they study math more than others. If you study more and learn more about math, then you’ll start to feel more comfortable because you’ll be ahead of the class when your teacher teaches you something.
The most important thing is to keep trying and never give up.
Hope this helps! :)
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additional per mile driven. The second plan has an initial fee of and costs an additional per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answers
Complete question :
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answer:
200 miles
Step-by-step explanation:
Let miles driven = x
First option :
57.98 + 0.14x
Second option :
53.98 + 0.16x
First option = second option
57.98 + 0.14 = 53.98 + 0.16x
57.98 - 53.98 = 0.16x - 0.14x
4 = 0.02x
x = 200
200 miles
MARKING PEOPLE AS BRAINLIST ARE THE TRRIANGLES CONGRUENT HOW DO YOU KNOW? Please help thank you :)
Answers
(-1,5) (2,-5) what is the slope can anyone please help
Answers
———- = 1/0 or 1
X2 -X1
-1-2 = 1
-5-5= 0
ANSWER ASAP look at pic and answer #18
Answers
Answer:
Four
Step-by-step explanation:
The circumefreence of a circle is 37.8. What is the area of the circle? Use 3.14 for pie
Answers
Answer:
b
Step-by-step explanation:
circumference= 2πr
37.8cm = 2πr
r= 6 cm
Area= πr^2
area = 113cm^2
find the decimal number exactly halfway between 1.01 and 1.02
Answers
Answer:
1.015
Step-by-step explanation:
Just add the number after the hundredth digit, since 5 is halfway we would put the number 5 after the 1.01.
Answer:
0.01
Step-by-step explanation:
because if u subtract 1.01 from 1.02 it will give you the answer
help asap!!! it’s due in 20 minutes .
Answers
Answer:
ab
Step-by-step explanation:
Jocelyn estimates that a piece of wood measures 5.5 cm. If it actually measures 5.62 cm, what is the percent error of jocelyns estimate?
Answers
Answer:
12%
Step-by-step explanation:
So 5.5 to 5.62 is .12
Then calculate the difference of 5.5 *.12=0.66
Then do “0.66 is what percent of 5.5?”
The answer is 12%
Thank you for reading, and mark this brainliest
Solve- x/2 + 1=5
A)8
B)9
C) 11
D) 2
Answers
Answer:
A. 8
Step-by-step explanation:
Answer:
A/8
Step-by-step explanation:
Since you need to get x by itself you have to subtract the one on both sides. Then the equation is x/2=4 Since x is being divided by the 2 you have to multiply by two on both sides. That leaves you with x=8
2 1/3 + 3 2/4 =
Fractions
Answers
Step-by-step explanation:
2 1/3+3 2/4=7/3+14/4
=28/12+42/12 (common denominater)
=70/12
=5 10/12
Solve (v +3) - 44 = 0, where v is a real number.
Answers
Answer: V = 41
Explanation in the photo below
Determine the simple interest paid to the nearest cent for each loan, interest rate, and time. $2,650, 3.65%, 2 1/2 years
Answers
9514 1404 393
Answer:
$241.81
Step-by-step explanation:
The interest is given by the formula ...
I = Prt
Filling in the values and doing the arithmetic, we have ...
I = $2650×0.0365×2.5
I = $241.81
The simple interest paid is $241.81.
Hello I don't know what I'm doing can someone please help.
I don't know how to solve a standard form slope equation can you please explain what I have to do.
The slope of the line 5x + y = 15 is___
Answers
Answer:
x = -1/5y +3
Step-by-step explanation:
add -y to both sides
5x + y + -y = 15 + -y
5x = -y + 15
step 2 divide both sides by 5
5x/5 = -y +15/5
x= -1/5 y +3
Answer
x= -1/5 y + 3
what is the sales tax of 9.25% on a tv costing 234.25
Answers
Answer:
[tex]21.668125[/tex] [tex]or[/tex] [tex]21[/tex] [tex]Dollars[/tex] [tex]and[/tex] [tex]66[/tex] [tex]Cents[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]9.25\%[/tex] [tex]of[/tex] [tex]234.25[/tex] = [tex]21.668125[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
Determine if the point (5, 7) is on the line of
Equation 5x + 6y = 67
Answers
Answer: The point (5,7) is on the line 5x+6y = 67
=====================================================
Explanation:
(5,7) means x = 5 and y = 7 pair up
Plug in those values to get...
5x + 6y = 67
5*5 + 6*7 = 67
25 + 42 = 67
67 = 67
We get the same number on both sides after fully simplifying. This means the equation is true. A true equation in the last step means the first equation is true when (x,y) = (5,7).
Therefore, the point (5,7) is a solution and it is on the line 5x+6y = 67.
To add or subtract numbers with the power of ten you need to make sure the exponents match before you do anything to the coefficients
Answers
Answer:
is this a true or false question? If so, it's false. To add or subtract, the bases have to match, not the exponents.
Step-by-step explanation:
Answer:
nope it doesn't matter the exponents they don't have to match but you later have to add them and add that many zeros back as the exponents