Use pencil and paper to create a table of values for the equation, x - 2y = 6. Rearrange the equation into the y = mx + b form. Increment x by 1 in each row. Values of x range from -2 to 2.
Answers
Answer:
y = 1/2x -3
x=-2 ⇒ y = -4
x=-1 ⇒ y = -3.5
x=0 ⇒ y = -3
x=1 ⇒ y = -2.5
x=2 ⇒ y = -2
Step-by-step explanation:
Hi, to answer this question we have to isolate y:
x - 2y = 6
-2y =6-x
y = (6-x)/-2
y = -3+1/2x
y = 1/2x -3
Now, we have to create a table with the next values (see attachment)
x=-2 ⇒ y = 1/2x -3 = 1/2(-2)-3= -4
x=-1 ⇒ y = 1/2x -3 = 1/2(-1)-3= -3.5
x=0 ⇒ y = 1/2x -3 = 1/2(0)-3= -3
x=1 ⇒ y = 1/2x -3 = 1/2(1)-3= -2.5
x=2 ⇒ y = 1/2x -3 = 1/2(2)-3= -2
Feel free to ask for more if needed or if you did not understand something.
Related Questions
PLEASE HELP !!!! On the grid provided, draw a nonsymmetric four sided figure in Quadrant II labeled ABCD. The vertices on the figure should be integer ordered pairs. Your figure must be translated, reflected, and rotated (the order of these is your choice), your transformations must take you to Quadrant I, Quadrant III, and Quadrant IV but the final figure must end up in Quadrant I. After the first transformation, label the figure A׳B׳C׳D׳. After the second transformation, label the figure״A״B״C״D״. After the third transformation, label the figure A׳׳׳B׳׳׳C׳׳׳D׳׳׳
Answers
Answer:
The transformations included are
1) Reflection about the y-axis
2) 90° clockwise rotation
3) Reflection about the y-axis
4) Translation T(0, 21)
5) Translation T(14, 0)
Step-by-step explanation:
Reflecting a pre-image about the y-axis gives;
Point (x, y) becomes (-x, y)
Rotation 90° clockwise gives (x, y) becomes (-y, x)
Translating (x, y) by T(0, 21) gives (x, y + 21)
Translating (x, y) by T(14, 0) gives (x + 14, y).
The screen capture of the coordinates from the original solution that was having issue posting after answering is attached along side the figure chart
Which of the following are the correct properties of a slope? Check all that apply. A. A negative slope means that the line moves down from left to right. B. The slope of a flat line should be exactly 0. C. The slope of a flat line is smaller than the slope of a steep line with a positive slope. D. The slope of a flat line is undefined. E. A negative slope means that the line moves up from left to right.
Answers
Answer:A and D
Step-by-step explanation: I am smart trust me :)
Answer:
a. b. c.
Step-by-step explanation:
ap3x
SOMEONE PLEASE HELP ME THIS IS CONFUSING PLEASEE
An ISOSCELES right triangle has a hypotenuse of x√6 units what is the area of the triangle?
Answers
Answer:
x^2/2
Step-by-step explanation:
Alright, lets go.
Isosceles right triangle means a 45-45-90 triangle.
In a 45-45-90 triangle, the hypotenuse is [tex]\sqrt{2}[/tex] times the leg.
Therefore, the length of the leg is x√3.
The area of a triangle is b(h)/2
In a 45-45-90 right triangle, the area is equal to the length of a leg squared/2
A leg = x√3. (x√3)^2 = 3x^2
The area of the triangle is 3x^2/2
Using (x + a) (x + b) = x² + (a + b) x + ab, evaluate 75 x 77
Answers
(x + a) (x + b) = x² + (a + b) x + ab
75 * 77=
=(70+5)(70+7)
=70²+(5+7)*70+5*7
=4900+12*70+35
=4900+840+35
=5775
Help!!!! please!!!!!
Answers
Answer:
40cm²
Step-by-step explanation:
The lateral area is the sum of the faces's area
let La be the lateral area
La= 4*5*2= 20*2= 40 cm²
What is the next number in the pattern below? 3, 5, 9, 15, 23, ___ A. 31 B. 33 C. 35 D. 37
Answers
Answer:
33. numbers are being increased by a certain number, that number being increased by 2 every time
Step-by-step explanation:
Help ASAP!!
Areas of Regular Polygons
Acellus
Find the area of the regular polygon.
Round to the nearest tenth.
Vyd
[? ] yd2
Answers
Answer: 98 yards
Step-by-step explanation:
In order to find the area of a square by the diagonal, all you need to do is square the length of the diagonal and then divide by 2. 7 is half of the length, so the full length is 14. 14 squared is 196. 196 divided by 2 is 98, which is your answer.
A penny is dropped onto a rectangular surface. If it is equally likely for the penny to land anywhere inside the large rectangle, what is the probability that all or part of the penny will come to rest inside the shaded area? Round your answer to the nearest whole percent. A. 23% B. 26% C. 30% D. 32%
Answers
Answer:
B. 26%
Step-by-step explanation:
You have to find the area of each rectangle then divide them to find the percentage.
6x3= 18
7x10= 70
18/70= 0.2571
Move the decimal 2 spaces: 25.71%
Then you round to the nearest whole number which is 26%.
Which of the following steps would you preform to the system of equations below so that the equations have opposite y-coefficients? 4x+2y=4 12x-y=26
Answers
Answer:
FIRST. Multiply both sides of the bottom equation by 2
Step-by-step explanation:
12x - y = 26
×2 ×2
24x - 2y = 52
-2 is opposite to 2
Graph the solution to this inequality on the number line.
0.3(x − 4) > -0.3
Answers
Answer:
Please refer to the attached image in the answer area.
Step-by-step explanation:
The given inequality is:
[tex]0.3(x -4) > -0.3[/tex]
To find:
The graph of inequality on the number line.
Solution:
First of all, let us simplify the inequality.
[tex]0.3(x -4) > -0.3[/tex]
Dividing it with 0.3 on the both sides:
[tex]x -4 > -1\\\text{Adding 4 on both sides}\\\Rightarrow x > 3[/tex]
i.e. all the values x > 3 will be our solution. There is no equal sign in the inequality so 3 will not be included in the solution.
Please refer to the attached image for the solution graph of the given inequality.
3 has an empty circle drawn over it which signifies that 3 is not included in the solution set.
Red line shows that all the values greater than 3 are included in the solution.
at the end of the football season
Answers
Answer:
WHAT?
Step-by-step explanation:
VGTFTUNJMKL
Answer:
Fat monkey
Step-by-step explanation:
What ?
The altitude of a triangle is 1cm shorter than the base. If the area of the triangle is 15cm2, calculate the altitude.
Answers
Answer:
5 cm
Step-by-step explanation:
We khow that the altitude of this triangle is 1cm shorter than the base
Let H be our altitude and B our base and A the area of the triangleA= (B*H)/2 ⇒ 15=(B*H)/2 H is 1cm shorter than B ⇒ B=H+1H*(H+1)/2=15 ⇒ H*(H+1)=30⇒ H²+H=30⇒H²+H-30+0that's a quadratic equation . Let's calculate the dicriminant .
Let Δ be the dicriminant
a=1b=1c= -30 Δ=b²-4*a*c = 1²-4*1*(-30)=1+4*30=121≥0 Δ≥0⇔ that we have two solutions x and y x= (-1-[tex]\sqrt{121}[/tex])/2= (-1-11)/2= -6 y= (-1+[tex]\sqrt{121}[/tex])/2= 10/2 = 5We have a negative value and a positive one
The altitude is a distance so it can't be negative
H= 5cm
Can someone help me with this question please?
Answers
Answer:
In the Business class section not flying for first time is 13
Business class and flying first time is 7
Not in Business class and flying first time is 49
98 that are not first time or business class
Probability is 20/167. I hope this is right and helps!
Which of these tables represents a function
Answers
Answer:
Z.
Step-by-step explanation:
A function must pass the Vertical Line Test. No 2 y-values can have the same x-values. Since the first 3 graphs fail to pass the vertical line test, our answer is Z.
Question 4 Multiple Choice Worth 2 points
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
XY
3
4
5
67
89
O Initial value: 1, rate of change: 2
O Initial value: 1, rate of change: 1
O Initial value: 2, rate of change: 2
O Initial value: 3, rate of change: 2
action
Answers
PLEASE HELP!! will give brainliest!!
Answers
Answer:
Reason 2 : Vertical opposite angles.
Reason 3 : Vertical opposite angles.
Reason 4 : Using statement 1 and 3.
Reason 5 : Using statement 1 and 2.
Reason 6 : AA property of similarity.
Step-by-step explanation:
Statement 1 : and .
Reason 1 : Given
Statement 2 :
Reason 2 : Vertical opposite angles.
Statement 3 : [tex]\angle GEF\cong \angle DEC[/tex]
Reason 3 : Vertical opposite angles.
Statement 4 : [tex]\angle ABC\cong \angle GEF[/tex]
Reason 4 : Using statement 1 and 3.
Statement 5 : [tex]\angle ACB\cong \angle GFE[/tex]
Reason 5 : Using statement 1 and 2.
Statement 6 : [tex]\triangle ABC\cong \triangle GEF[/tex]
Reason 6 : AA property of similarity.
Hence proved.
Four times the difference of 17 and a number is 84.
Which equation below can be used to find the unknown number?
A) 4(17)- n = 84
B) 4 - 17n = 84
C) 17 - 4n = 84
D) 4 (17- n) = 84
Answers
Answer:
D)
Step-by-step explanation:
a number: n
difference of 17 and a number: 17 - n
4 times the difference of 17 and a number: 4(17 - n)
4 times the difference of 17 and a number is 84: 4(17 - n) = 84
A two-tailed test is one where: A. negative sample means lead to rejection of the null hypothesis B. results in either of two directions can lead to rejection of the null hypothesis C. results in only one direction can lead to rejection of the null hypothesis D. no results lead to the rejection of the null hypothesis
Answers
Answer:
Step-by-step explanation:
In a two tailed test, the alternative hypothesis contains the "unequal to" symbol. It is used when we are testing for a difference. This means that the test is regardless of direction. Therefore, the left tail and the right tail of the curve is considered when making decisions. This simply means that there are two critical regions for the test. Therefore, a two-tailed test is one where:
B. results in either of two directions can lead to rejection of the null hypothesis
3/5 times by 210 equals
Answers
Answer:
it equals 315
Step-by-step explanation:
Write an equation for each translation of y
|x1.
2.5 units left
Answers
Answer:
Step-by-step explanation:
the translation of y = |x| 2.5 units to the left is:
y = |x+2.5|
Which of these are a trinomial?
Answers
Answer:
D
Step-by-step explanation:
what is the sum of all possible multiples of 5 less than 500
Answers
Answer:
We need to find 5 + 10 + 15 + ... + 485 + 490 + 495. There are 99 numbers that are being added. To add this we can do 5 + 495, 10 + 490, 15 + 485 and so on. These pairs have a sum of 500 and since there are 98 / 2 = 49 pairs their sum is 500 * 49 = 24500. Since there is an odd number of numbers that are being added, there is one number that does not belong to a pair. That number is the 50th number in the list which is 50 * 5 = 250. Therefore the answer is 24500 + 250 = 24750.
An interval estimate for the weight of a species of primates is (12, 15) kg. Find the point estimate for the species
of primates.
Answers
Answer:
12 + 15= 27/2 = 13.5 kg
Step-by-step explanation:
please help i will give out brainliest
Answers
answer on image attached. pls give brainliest :)
In order to obtain the y values you simply sub in the x- coordinates to the equation y=x^3 -4x.
In the spaces,from left to right, the y coordinates are
5, -3, -4, 0
Part B)
B as you know the roots ( x-intercepts ) of the equation pass through 0 and 4
You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur. How many different routes are possible?
Answers
Answer:
i think maybe 5 routs or 7
Step-by-step explanation:
there are diffrent ways to get to rides
There are total 120 possible routes available.
What is combination?A combination is a mathematical technique that determines the number of possible arrangements in a collection of items, where the order of the selection does not matter.
Given that, You are planning a trip to Disney World and you want to get through these five rides the first day: Space Mountain, Tower of Terror, Rock 'n' Roller Coaster, Mission Space, and Dinosaur.
Since, there are 5 five ride, so possible rides = 5!
= 5x4x3x2x1
= 120
Hence, There are total 120 possible routes available.
For more references on combinations, click;
https://brainly.com/question/19692242
#SPJ3
Identify the slope and y-intercept of each of the following. Please help ^^^^ a. y = x + 100 b. y = 2x - 5 c. y = 0.5x
Answers
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
All 3 equations are in this form
(a)
y = x + 100
with slope m = 1 and y- intercept c = 100
(b)
y = 2x - 5
with slope m = 2 and y- intercept = - 5
(c)
y = 0.5x ( or y = 0.5x + 0 )
with slope m = 0.5 and y- intercept c = 0
y-inercept=100
b. y=2x-5
slope=2 y-intercept=5
c. y=0.5x
slope=0.5
The graph of F(x), shown below, has the same shape as the graph of G(x)=x^4, but it’s shifted 3 units to the left. What’s its equation?
Answers
A passenger ship and an oil tanker left port sometime in the morning; the former headed north, and the latter headed east. At noon the passenger ship was 40 mi from port and moving at 30 mph, while the oil tanker was 30 mi from port and moving at 20 mph. How fast was the distance between the two ships changing at that time
Answers
Answer:
distance between the two ships changing at that time is 36 mph
Step-by-step explanation:
given data
ship = 40 mi from port
ship moving = 30 mph
oil tanker = 30 mi from port
oil tanker moving = 20 mph
solution
we will apply here pythagoras theorem so we get here
x² + y² = L² .....................1
here x is distance of ship from port
and y is distance of oil tanker from port
and L is distance between oil tanker and ship
so put here value and we get
40² + 30² = L²
L = 50 mile
now we differentiate equation1 with respect to time t
[tex]2x\ \frac{dx}{dt} + 2y\ \frac{dy}{dt} = 2L\ \frac{dL}{dt}[/tex] ...............2
put here value and we get
40 × 30 + 30 × 20 = 50 × [tex]\frac{dL}{dt}[/tex]
[tex]\frac{dL}{dt}[/tex] = 36 mph
so distance between the two ships changing at that time is 36 mph
Which of the following is equivalent to (x+4)(3x^2+2x)?
Answers
Answer:
C
Step-by-step explanation:
When expanding brackets, we distribute the left terms inside the right side brackets.
(x+4)(3x^2+2x)
(x + 4)(3x²) + (x + 4)(2x)
The reason why it is + (x + 4) is because the x has a positive sign.
The number name of 70080067
In Indian System
Answers
Answer:
Seven crore eighty thousands sixty-seven.
Step-by-step explanation:
70080067
Seven crore eighty thousands sixty-seven.