Answer:
liner Y=9(2x) Y=5x-3
Step-by-step explanation:
The equations which are linear are
a) y = 9( 2x )
b) y = ( 5x + 3 )2
d) y = 5x - 3
The equations which are non linear are
c) y = 8x²
e) y = 3x² + 2x - 1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
a)
Let the equation be y = 9( 2x )
Now , on simplifying the equation , we get
y = 18x
Now , this is a linear equation in 2 variables of the from y = mx + c
So , the equation is linear
b)
Let the equation be y = ( 5x + 3 )2
Now , on simplifying the equation , we get
y = 10x + 6
Now , this is a linear equation in 2 variables of the from y = mx + c
So , the equation is linear
c)
Let the equation be y = 8x²
Now , on simplifying the equation , we get
y = 8x²
This is a quadratic equation , and is not linear
So , the equation is non linear
d)
Let the equation be y = 5x - 3
Now , on simplifying the equation , we get
y = 5x - 3
Now , this is a linear equation in 2 variables of the from y = mx + c
So , the equation is linear
e)
Let the equation be y = 3x² + 2x - 1
Now , on simplifying the equation , we get
y = 3x² + 2x - 1
This is a quadratic equation , and is not linear
So , the equation is non linear
Hence ,
The equations which are linear are y = 9( 2x ) , y = ( 5x + 3 )2 and y = 5x - 3
The equations which are non linear are y = 8x² and y = 3x² + 2x - 1
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ6
8th grade math help me out pls
Answer:
1/4
Step-by-step explanation:
(-7 , 2) ; (9 , 6)
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{6-2}{9-[-7]}\\\\=\frac{6-2}{9+7}\\\\= \frac{4}{16}\\\\= \frac{1}{4}[/tex]
At a college bookstore, Tanisha bought a Math Textbook and a Novel for $54. If the price of the Math Textbook is $8 more than 3 times the price of the Novel, then how much is the price of each book?
Answer: Price of Math Textbook= $42.5, Price of the Novel= $11.5
Step-by-step explanation:
Let x = price of the Novel.
Price of Math Textbook = 8+3x
As per given , we have
Price of Math Textbook + Price of the Novel = $54
⇒ 8+3x+x = 54
⇒ 8+4x=54
⇒ 4x = 46 [subtract 8 from both sides]
⇒ x = 11.5
Price of Math Textbook = 8+3(11.5) = 8+34.5= $42.5
Hence, Price of Math Textbook= $42.5, Price of the Novel= $11.5
Find the result when 5 + 2 is subtracted from 9m
Answer:
-2m
Step-by-step explanation:
I really need help with this badly
Aron charges an initial service fee of 10$ plus 15$ per hour , what is X?
Answer:
The linear function becomes:
y = 15x + 10
Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.
Step-by-step explanation:
We know that the slope-intercept of a linear function is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Note: Slope is also termed as the 'rate of change'.
Given that Aron charges an initial service fee of 10$.
Thus, the y-intercept = b = 10
As the rate of change = 15$ per hour
so the slope = m = 15
Therefore, the linear function becomes:
[tex]y = mx+b[/tex]
y = 15x + 10
Here, 'x' is the number of hours, b=10 is the initial service fee i.e. $10, 15 is slope or rate of change, and 'y' is the cost.
For example, in one hour i.e. x = 1, the cost 'y' will be:
y = 15x + 10
y = 15(1) + 10
y = 25 + 10
y = $25
Therefore, in one hour (x=1), the cost will be: y = $25
Help please its not 4/9ths
Answer:
-16Step-by-step explanation:
[tex]\dfrac{4}{9}=\left(\dfrac{2}{3}\right)^2\\\\25=5^2\\\\121=11^2\\\\-16<0!!![/tex]
The square of each real number is non-negative
Point A is at (3,2.7) and point B is at (3,1.4) on a coordinate grid. The distance between the two points is __. Numbers and decimals only
PLEASE HELP ASAP
Answer:
The distance between the two points is 1.3
Step-by-step explanation:
Answer:
The distance between the two points is 1.3
Sean is buying 9/16
pound of tea at a tea shop. The cost of tea is $24 per pound.
The cost of 9/16 pounds of tea is $13.50.
How to determine the cost of 9/16 pounds of teaIn order to determine the cost of 9/16 pounds of tea, the cost of a pound of tea would be multiplied by 9/16 pounds.
Cost of 9/16 pounds of tea = 9/16 x 24
= $216/16
= $13.50
To learn more about multiplication, please check: https://brainly.com/question/3385014
Pls help me and explain why it’s that answers.
^ which equation represents the relationship shown in the table ??
Answer:
y=2x+5
Step-by-step explanation:
7) let f(x)=2x squared - 5x +9
find a, b, and c
a) 1, 5, and 9
b) 2,- 5, and 9
c) 0,5, and 9
d) none of these answers is correct.
Answer:
a
Step-by-step explanation:
ITS RIGHT
solve 12.8 = m - 8.3 plssssssssssss i need it
Answer:
x=21.1
Step-by-step explanation:
12.8=m -8.3
12.8+8.3=m
21.1=x
x=21.1
Answer:
your answer would be 21.1
Step-by-step explanation:
so first you would have to 8.3 to 12.8 which would give you 21.1 then divide it by m but m is one so it would be just 21.1
The seventh grade enrollment at Main Middle School reduced from 615 students to 492 students. By What percentage was the number of students reduced?
Answer:
492 *100/625 =80 %
Step-by-step explanation:
Where [*]= Multiply
PICTURE PROVIDED HERE!
What is the length of BD?
A. 2
B. 6
C. 4
Answer:
i think its a
Step-by-step explanation:
Determine if the pair of lines are parallel perpendicular or intersecting
Answer:
1. y= 2/3x + 4, and y = 2/3x - 1 are parallel
2. y = 1/3x - 3 and y = 2x + 5 are perpendicular
3. y =2/5x +4 and y = 0.2x - 1 are intersecting
4. y = -x + 13 and y = x-14 are perpendicular
Step-by-step explanation:
The equation of lines are solved and parallel lines are
a) y = 2/3x + 4 , y = ( 2/3 )x - 1
Perpendicular lines , y = -( 1/2 )x - 3 , y = 2x + 5
Intersecting lines
a) y = ( 2/5 )x + 4 , y = 0.2x - 1
b) y = -x + 13 , y = x - 14
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
y = 2/3x + 4 , y = ( 2/3 )x - 1
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = 2/3
So , the slopes of the two lines are same and they are parallel lines
And , y = -( 1/2 )x - 3 , y = 2x + 5
The slopes are negative reciprocals of each other , so they are perpendicular lines
Now , the intersecting lines are a) y = ( 2/5 )x + 4 , y = 0.2x - 1
b) y = -x + 13 , y = x - 14
Hence , the equation of line is solved
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
(4+x) divided by 12.
im stuck heree :(
Steps:
See attachment.
Description:
The first step is to simplify the equation step by step and to simplify an equation you can first multiplying the factors and use the exponent rules to remove the parentheses. After that you need to combine it a terms. Then you will get your answer.
For more steps and graph see the attachment.
Answer: 1/12 x + 1/3
Hope this helps.
what is the mean of 2 4 5 6 8
Answer:
The mean of 2 4 6 8 is 6
bc Means is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Step-by-step explanation:
Hope this helps :)
A mean is an arithmetic average of a set of observations. The mean of 2, 4, 5, 6, and 8 is 5.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean of 2, 4, 5, 6, and 8 can be written as,
Mean = (2+4+5+6+8)/5 = 25/5 = 5
Hence, the mean of 2, 4, 5, 6, and 8 is 5.
Learn more about Mean:
https://brainly.com/question/16967035
#SPJ2
Abdul buys dress pants from a clothing Company for P dollars he sells each pair of pants in his men's clothing shop at 40% markup select all the expressions below represent the new retail price of a pair of dress pants
Answer:
$P + 0.4P or 1.4P
Step-by-step explanation:
Given that:
Cost of dress pants = $P
Markup on cost price = 40%
The new retail price of a pair of dress pant :
(Cost price of the dress pant + markup on cost price)
$P + 40% of P
$P + 0.4P
New retail price = $P + 0.4P = 1.4P
Select the correct answer from each drop-down menu.
Consider these functions:
f(x)=1672
g(x)=īvo
>
For x = 0, the value of Agtx)) is
For x2 0. the value of g(x)) is
For x 0, functions fand g
v inverse functions.
1st drop down options:
X
4x
8x
2nd drop down:
X
4x
8x
3rd drop down:
Are
Are not
Please help I’m stuck on this test I don’t understand them!
Answer:
1.4x 2. 8x
3. Are
hope im right
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!!!
Last EAST question worth 50 POINTS!
What is the simplified expression show above?
Answer:
4x+8
Step-by-step explanation:
[tex]\sf \longmapsto \: 2(2x + 5) - 3[/tex]
Distribute[tex]\sf \longmapsto \: (2)(2x)+(2)(5)+−3[/tex]
[tex]\sf \longmapsto4x+10+−3[/tex]
Combine like terms[tex]\sf \longmapsto4x+10+−3[/tex]
[tex]\sf \longmapsto(4x)+(10+−3)[/tex]
[tex]\sf \longmapsto4x+7[/tex]
Shanice won 88 pieces of gum playing the bean bag toss at the county fair. That was 4 more than twice as many as Greg. How many pieces of gum did Greg win?
Answer:
20 students
Step-by-step explanation:20 students cos 88 divided by 4 =22 and it said she had 8 left so 20 student in her class
ASAP
Determine the intercepts of the line.
y-intercept:
r-intercept:
Answer:
y=-5/7x+2.5
Step-by-step explanation:
Someone please help me !!! 100 points must show work !
Answer: x is c center w and y are b center
Step-by-step explanation:
Connect the dots
find the values of x and y
Answer:
61=x cortical opposite angle
61=y corresponding angle
Answer:
61=x and 61=y
Step-by-step explanation:
I think that bout right
Which letters shown below on the number line also have their opposites labeled
One ninth of the students in Mr. Beck’s class list red as their favorite color. Twice as many students call blue their favorite, and three times as many students prefer pink. The rest name green as their favorite color. If 6 students call blue their favorite color, how many students are in Mr. Beck’s class?
Answer:
27
Step-by-step explanation:
this is because 6 students is 2/9th of the class and if we divide that by two we get 3. 3 is 1/9th od the class so we multiply it by 9 to get 27 which is how many students should be in his class if i am right
What is the value of 3 + x when x = 19?
Answer:
Its 22
Step-by-step explanation:
x is 19
so 3+19 is 22
Twice the square of a number is less than another number. Negating the square of that number and adding 5 causes
it to be larger than the other number. Which represents the solution set?
Answer:
d
Step-by-step explanation:
took it on edg
The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y
How to represent the solution set?First, we represent the mathematical statements as an equation or inequalities
Mathematically, the statements in the questions are:
2x^2 < y-x^2 + 5 > yWhere x and y represents the two numbers
So, we plot the graphs of 2x^2 < y and -x^2 + 5 > y
The graph d represents the solution set of the inequalities 2x^2 < y and -x^2 + 5 > y
Read more about inequalities at:
https://brainly.com/question/25275758
#SPJ2
I need help with this please.
Answer:
1) B
2)A
Step-by-step explanation:
1) The only on that made sense really!
2) Also the only one that made sense!
Answer:
5.) b
6.)a
Step-by-step explanation:
5.) b
3x - 24 = 81 (add 24 on both sides)
3x = 105 (divide by 3 on both sides)
x = 35 or 105/3
6.) a
-5x - 25 = 78 (1st add 25 on both sides)
-5x = 103 (2nd divide both sides by -5)
x = -20.6
Hope this helps ya!!