what is the graph of the equation 2x -y =2?
Answers
Answer:
Refer the attached graph.
Step-by-step explanation:
Given : Equation [tex]2x-y=2[/tex]
To find : What is the graph of the equation ?
Solution :
To plot the graph of the equation we have to determine the x and y-intercept of the equation as [tex]2x-y=2[/tex] is a linear equation.
For x-intercept, put y=0
[tex]2x-0=2[/tex]
[tex]x=\frac{2}{2}[/tex]
[tex]x=1[/tex]
Point is (1,0).
For y-intercept, put x=0
[tex]2(0)-y=2[/tex]
[tex]-y=2[/tex]
[tex]y=-2[/tex]
Point is (0,-2).
So, The graph passing through (1,0) and (0,-2) with linear line.
Refer the attached figure below.
The graph of the equation 2x - y = 2 will be a straight line passing through the points (0, -2), (1, 0), and (-1, -4).
We have,
To graph the equation 2x - y = 2, we can start by rearranging it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Rearranging the equation:
2x - y = 2
y = -2x + 2
y = 2x - 2
Now we have the equation in slope-intercept form, where the slope (m) is 2 and the y-intercept (b) is -2.
To graph this equation, you can plot the y-intercept at (0, -2), and then use the slope to find additional points.
The slope of 2 means that for every 1 unit increase in x, y will increase by 2.
So, from the y-intercept (0, -2), you can move 1 unit to the right and 2 units up to get another point (1, 0).
Similarly, you can move 1 unit to the left and 2 units down to get another point (-1, -4).
Now you can plot these points and draw a straight line through them to represent the graph of the equation.
Thus,
The graph of the equation 2x - y = 2 will be a straight line passing through the points (0, -2), (1, 0), and (-1, -4).
Learn more about equation of a line here:
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Related Questions
chloe is sorting items at a thrift store. She finds a box of tiny blocks that has 1,344 written on the outside. She can see that each layer in the box has 64 blocks. How many layers of blocks are there?
Answers
Answer: There are 21 layers of blocks.
Step-by-step explanation:
Since we have given that
Number of blocks in a box = 1344
Number of blocks in each layer = 64
We need to find the number of layer of blocks.
So, the number of layer of blocks is given by
[tex]\dfrac{1344}{64}\\\\=21[/tex]
Hence, there are 21 layers of blocks.
Prove that 1=2 with well arranged steps and justify each step
Answers
What decimal equivalent of 5/6
Answers
Pre cal/cal master needed
F(x)= 2x^2 + 3x-2 and g(x)= x-2
find equation for f(g(x))
My answer : 2x^2 -8 +3x-8
True answer: 2x^2 -5x
How do we get true answer? I plugged in g(x) into the x's of F(x) but got a waaaaaay different answer.
Answers
2x^2 + 3x-2
2(x-2)^2 + 3(x-2)-2
Now work out 2(x-2)^2 + 3(x-2)-2 also follow PEMDAS
2(x-2)^2 + 3(x-2)-2
Since (x-2)^2 is an Exponent, lets work with that first and expand (x-2)^2.
(x-2)^2
(x -2)(x-2)
x^2 -4x + 4
Now Multiply that by 2 because we have that in 2(x-2)^2
(x-2)^2 = x^2 -4x + 4
2(x-2)^2 = 2(x^2 -4x + 4)
2(x^2 -4x + 4) = 2x^2 - 8x + 8
2x^2 - 8x + 8
Now that 2(x-2)^2 is done lets move on to 3(x-2).
Use the distributive property and distribute the 3
3(x-2) = 3x - 6
All that is left is the -2
Now lets put it all together
2(x-2)^2 + 3(x-2)-2
2x^2 - 8x + 8 + 3x - 6 - 2
Now combine all our like terms
2x^2 - 8x + 8 + 3x - 6 - 2
Combine: 2x^2 = 2x^2
Combine: -8x + 3x = -5x
Combine: 8 - 6 - 2 = 0
So all we have left is
2x^2 - 5x
Brainiest to Response. AP Statistics Help on Hypothesis Testing! I have various AP Stats questions I'd like to check with those who completed this course or knows about p-values, Hypothesis Testing, and alphas. If you've taken the course and can help me with some AP Statistics questions, I'd appreciate it.
Answers
Marty wants to paint a box. He can choose to use either blue, green, yellow, or black paint. Also, he can style the paint by painting with a brush, a roller, or a sponge. How many different combinations of color and painting method can Marty choose?
Answers
Answer:
12
Step-by-step explanation:
Marty can choose his paint in 4 ways and his style in 3 ways. Thus there are a total of 4x3=12 different combinations he can choose.
Raul and Ruth Are saving for a trip.Raul starts with $350 and saves $15 per week.Ruth starts with $200 and saves $25 per week. When will they have the same amount?
Answers
Raul: rl=$350 + $15x
Ruth: rh=$200 + $25x
In both cases, x represents the number of weeks elapsed.
When will these two people have saved up the same amount? Set rl = rh and solve for x, the number of weeks elapsed:
$350 + $15x = $200 + $25x
$150 = $10x gives us x= 15. Their savings will be equal after 15 weeks.
Answer:
15
Step-by-step explanation:
Janae bought wallpaper that cost $25.90 for each roll of 14 square feet. Find the unit price.
Answers
Answer:
The unit price is $1.85
Step-by-step explanation:
Janae bought a roll of wallpaper that cost = $25.90
Each roll is of = 14 square feet
Cost per square feet = [tex]\frac{25.90}{14}[/tex] = $1.85
The unit price is $1.85
Kendra and her horse completed the barrel racing course in 15.839 seconds. What is this number rounded to the nearest tenth? :explain how you decided
Answers
To find the nearest tenth, you go to the 3rd place after the decimal and decide: if the value is 5 or greater, go to the second place after the decimal and round up one. If it does not, the value of the second decimal stays the same.
55% of what number is 22?
Answers
22 : 0.55 = 40
55% of 40 is 22
Now convert the percent into a decimal by moving the % sign two places to the left and make the % sign into a decimal point.
55% = 0.55
In mathematics, 'of' can sometimes mean multiply.
Likewise, 'is' can sometimes mean equal.
0.55x = 22
Solve for x.
0.55x = 22
x = 40 <-- Divide both sides by 0.55.
So, the answer is 40.
how many significant digits are in 23,000
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Point Q is the midpoint of segment PR. If PQ= (15x-2) and QR= (5x+3) find the value of Q.
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so, the distance to Q, or one can say Q's length is the same as PQ's. or QR's for that matter.
The difference between 4 and the product of 6x and 40
Answers
Which equation has no solution?
4(x + 3) + 2x = 6(x + 2)
5 + 2(3 + 2x) = x + 3(x + 1)
5(x + 3) + x = 4(x + 3) + 3
4 + 6(2 + x) = 2(3x + 8)
Answers
Answer:
B: 5 + 2(3 + 2x) = x + 3(x + 1)
Step-by-step explanation:
Just took it it's correct so leave a like
What is the equilibrium price per DVD?
Answers
One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in that region, what is the total number of employees working for the company?
Answers
[tex]\bf \begin{array}{ccll} amount&fraction\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 252&\frac{1}{5}\\\\ x&\frac{5}{5} \end{array}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{\frac{5}{5}}\implies \cfrac{252}{x}=\cfrac{\frac{1}{5}}{1}\implies \cfrac{252}{x}=\cfrac{1}{5} \\\\\\ \cfrac{252\cdot 5}{1}=x[/tex]
One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. The total number of employees working for the company is 1260.
Explanation:If one fifth of the employees of Delta Industries, Inc. work in the Southeastern region, and there are 252 workers in that region, we can find the total number of employees by multiplying 252 by 5.
5 times 252 equals 1260. Therefore, the total number of employees working for the company is 1260.
Find the present value of Php 50,000.00 due in 4 years if money is invested at 12% compounded semi-annually.
Answers
Php 50,000.00 * (100+6)%^(4 years/ 6 months)=
Php 50,000.00 * 106%^(8)= Php 79,692.40
0.04 is 1\10 of what
Answers
hope this helps
Frances left a 19% tip on a meal, including the tip, it's cost was $27.37. What was the cost of the meal before the tip?
Answers
So 19% in decimal is 0.19
so 27.37 x 0.19 = 5.2 (If not rounded it is 5.2003)
5.2 - 27.37 = 22.17 (If not rounded 22.167)
Answer:
$22.17
Step-by-step explanation:
Please see attachment. Calculations executed in black ink. Justification explained in green ink. Solution highlighted in blue.
~~
Thank you!
Find the lcm of 6, 5, 3
Answers
6 = 6 12 18 24 30 36
5 = 5 10 15 20 25 30
3 = 3 6 9 12 15 18 21 24 27 30
It would be 30.
Hope This Helps You!
Good Luck :)
6: 6, 12, 18, 24, 30
5: 5, 10, 15, 20, 25, 30
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
As you can see, all of the three numbers have a multiple of 30. The LCM of 6, 5, and 3 is 30.
√32 greater or less than 5.1
Answers
Your answer will be greater because 5.6 is greater than 5.1.
If Logx (1 / 8) = - 3 / 2, then x is equal to
A. - 4
B. 4
C. 1 / 4
D. 10
Answers
answer is C 1/4
see attached picture, it is not exact but with rounding it comes out correct.
93 times the sixth power of ten
Answers
93 x 60466176 = 5623354368
hope this helps
Simplify the complex number i^39 as much as possible.
Answers
Answer:
-i
Step-by-step explanation:
i = [tex]\sqrt{-1}[/tex]
[tex]i^{2}[/tex] = - 1
Every [tex]i^{x}[/tex] will be equal to -1, when n is even.
Break apart [tex]i^{39}[/tex] into ([tex]i^{38}[/tex])([tex]i^{1}[/tex])
Since 38 is even, [tex]i^{38}[/tex] will be equal to -1
-1*([tex]i^{1}[/tex]) = -i
To simplify i^39, we must use the cyclical pattern of i's powers, which repeats every four. i^39 simplifies to i^3, which is equal to -i.
To simplify the complex number i^39, we should recognize the cycle of powers of i. Since i represents the square root of -1, the powers of i cycle every four powers:
i = ii^2 = -1i^3 = -ii^4 = 1To find the equivalent of i^39, we can divide 39 by 4 to get a quotient and a remainder: 39 divided by 4 is 9 with a remainder of 3. This means that i^39 is equivalent to i^3, which is -i.
Write 93 11/16 as a decimal
Answers
I hope this helps:)
Central Middle School has 2,470 students and the ratio of students to teacher is 26:1. How many new teachers are needed to reduce this ratio to 19:1?
Answers
[tex]\bf \cfrac{student}{teacher}\qquad 26:1\implies \cfrac{26}{1}=\cfrac{\stackrel{2470}{students}}{\stackrel{teachers}{t}}\implies \cfrac{26}{1}=\cfrac{2470}{t} \\\\\\ t=\cfrac{1\cdot 2470}{26}\implies \boxed{t=95}[/tex]
hmm alrite... what if the amount of students is kept the same, but more teachers come in, that the ratio changes and is no longer 26:1 but 19:1?
how many teachers will there be then?
[tex]\bf \cfrac{student}{teacher}\qquad 19:1\implies \cfrac{19}{1}=\cfrac{\stackrel{2470}{students}}{\stackrel{teachers}{t}}\implies \cfrac{19}{1}=\cfrac{2470}{t} \\\\\\ t=\cfrac{1\cdot 2470}{19}\implies \boxed{t=130}[/tex]
so, if there are 130 teachers and 2470 students, the ratio is 19:1.
at 26:1 is with 95 teachers.
how many more new teachers are needed? well, surely you'd know that.
How are the decimals .009 and .09 related?
Answers
Answer:
0.09 is ten times of 0.009
Step-by-step explanation:
The two decimals are 0.009 and 0.09
We can rewrite the decimals in the scientific notation.
0.009 = [tex]9\times 10^{-3}[/tex]
And 0.09 = [tex]9\times 10^{-2}[/tex]
Now we divide first decimal 0.09 by 0.009
[tex]\frac{0.09}{0.009}=\frac{9\times 10^{-2} }{9\times 10^{-3} }[/tex]
=[tex]\frac{10^{-2}}{10^{-3}}[/tex]
= [tex]\frac{10^{3} }{10^{2} }=10[/tex]
Therefore, 0.09 is ten times of 0.009
what is the value of the underlined digit? 587
Answers
Prove that if d|m and d|n, then d|(m+n)
Answers
Now, [tex]m+n=dk_1+dk_2=d(k_1+k_2)=dk_3[/tex], i.e. there is some [tex]k_3[/tex] such that [tex]m+n[/tex] is a multiple of [tex]d[/tex], i.e. [tex]d\mid(m+n)[/tex].
please help
An arithmetic sequence has this recursive formula