Activity 1: rewrite me!
1. write the equation 2x+3y=12into y=mx+b
Solution
2x+3y=12
2x + (____) + 3y = 12+(-2x)
(____)3y=(-2x+12)(____)
y= - ⅔x +4
Given:
Simplified as y= mx+ b
2.write the linear equation y= -2x -1 into Ax + By = C.
solution
y = -2x-1
y +(____) = - 2x + (___) - 1
2x + y = -1
Given:
Questions:
1. how did you write the linear equation y = mx + b to the form Ax + By = C?
2. how did you write Ax + By = C?
3. what mathematical concepts or principles did you apply to write each linear equation to standard form?
to y=mx+b form?
brainlest pag Tama ang sagot plus eh fo-follow ko na din.
nonesen report
Answers
1) The equation 2y + 3x = 12 in the y = mx + b form is [tex]y = -\frac{2}{3} x + 4[/tex]
2) The linear equation y = -2x - 1 in the Ax + By = C form is 2x + y = -1
The point-slope form of the equation of a line is y = mx + b
where m represents the slope
b represents the y-intercept
The given equation is:
2x + 3y = 12 (Given)
Subtract 2x from both sides
2x + (-2x) + 3y = 12 + (-2x)
3y = 12 - 2x (Equality property of addition)
3y = -2x + 12 (Commutative property of addition)
Divide both sides by 3
[tex]\frac{3y}{3} = -\frac{2}{3} x + \frac{12}{3} \\\\y = -\frac{2}{3} x + 4[/tex](Equality property of division)
2) Write the linear y = -2x - 1 into Ax + By = C
y = -2x - 1 (Given)
Add 2x to both sides
y + 2x = -2x + 2x - 1 (Equality property of addition)
y + 2x = -1
2x + y = -1 (Commutative property of addition)
Learn more here: https://brainly.com/question/19573990
Related Questions
The density of a certain material is such that it weighs 2 kilograms per quart of volume. Express this density in grams per pint.
Answers
Answer:
1000 grams per pint
Step-by-step explanation:
2 kg / qt * (1 qt / 2 pints) * (1000 grams/ kg ) = 1000 grams /pint
Find the unit rate. Round to the nearest hundredth, if necessary,
$2.99 for 15 lb
The unit rate is $
Иb.
Answers
Answer:
$0.20/lb
Step-by-step explanation:
2.99/15 = 199333
.20/lb
Which ordered pairs is a solution to -5x + 3y > 12?
(3,9)
(-5,5)
O (3.-6)
D(-2.-5)
(2.8)
(-6.0
Answers
9514 1404 393
Answer:
(-5, 5), (2, 8), (-6, 0)
Step-by-step explanation:
It is convenient to graph the solution, then plot the points to see which fall in the solution area.
The point (3, 9) falls on the boundary line, which is not part of the solution set.
The points that are solutions are ...
B(-5, 5)
E(2, 8)
F(-6, 0)
The real picture of my previous question is this
Answers
Answer:
x = 120
Step-by-step explanation:
Assuming you require to find the value of x
The sum of the interior angles of a polygon is
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Here n = 6 , then
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140 + 150 + 90 + x + 130 + 90 = 720 , that is
x + 600 = 720 ( subtract 600 from both sides )
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How much will it cost to fill a 50 L gas tank
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Answers
Yes it is correct
Answer:
$66.50.
Step-by-step explanation:
50 L · $1.33/L = $66.50
Which of the following is a rational number?
square root of 2, square root of 3, square root of 4, and square root of 5
square root of 2
square root of 3
square root of 4
square root of 5
Answers
Answer:
The answer is C (square root of 4)
Step-by-step explanation:
Answer:
The answer is C (square root of 4)
Step-by-step explanation:
Because you
13. A manager is comparing the drive-through service times for two fast-food restaurants, and the following results (in seconds) were obtained. Find the range, variance, and standard deviation for each of the two samples, then
compare the two sets of results
Restaurant A 120 123 153 128 124 118 154 110
Restaurant B 115 126 147 156 118 110 145 137
Restaurant A: 44 sec; 298.34 sec?; 17.27 sec
Restaurant B: 46 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant A.
Restaurant A: 44 sec; 260.79 sec?; 16.15 sec
Restaurant B: 46 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant B.
Restaurant A: 44 sec; 260.79 sec2; 16.15 sec
Restaurant B: 46 sec; 245.64 sec?; 15.67 sec
There is more variation in the times for restaurant A.
Restaurant A: 46 sec; 260.79 sec2; 16.15 sec
Restaurant B: 44 sec; 285.64 sec2; 16.90 sec
There is more variation in the times for restaurant B.
Answers
Answer:
The answer is A.
Step-by-step explanation:
Fill in the blanks in order to justify whether or not the mapping shown represents a function
Answers
The mapping diagram above does not represent a function since there are 2 input values, 7 and 0 that maps to the same output value at 2.
Rylee finds a recipe for a bubble solution that uses 1 cup water, 1/4 dish soap, and 1 tablespoon corn syrup. She is 2 cups of dish soap. How much water should she use? Show your work.
Answers
Answer:
65
Step-by-step explanation:
Help please! I need this done soon
Answers
Answer:
y = 3
Step-by-step explanation:
If the line needs to be parallel to the x axis, it must be Horizontal. The formula for lines like this is y= mx+c with m being the gradient. With a horizontal line, the gradient is 0 and therefore we get y=c.
To find c, we need to find the y intersect which is where the line passes through the y axis. Since it is horizontal and passes through the dot, we can find that c = 3 as the dot is at 3 on the vertical axis.
From this, we can see that the equation is y = 3.
Answer:
3
Step-by-step explanation:
the x-axis is horizontal and the numbers above and below it are 4 and 2 and the dot was right on the line so it was 3
A snack food company decreases the size of their single-serving size tortilla chips bag to 3.0 ounces, which is 10% less than the original size.
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Step-by-step explanation:
cause i said so
Answer:
3.3
Step-by-step explanation:
im never wrong your welcome
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Answer:
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Step-by-step explanation:
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Answers
Answer: -9/7
Step-by-step explanation:
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Answer:
she profited $35
Step-by-step explanation:
help me find what 8/9
Answers
Answer: B= 8÷9
I found this answer because if you divide 8 and 9 the 8 stays the same and the 9 turns into 1/9 and if you multiply 8 × 1/9 you will get 8/9.
I hope this helps! :)
Hey there!
To find the answer to a fraction to convert it to a decimal you have to DIVIDE to NUMERATOR (the TOP number) from the DENOMINATOR (the BOTTOM number) and it should give you your result to this given question
Option A doesn’t have anything to do with 8/9 because the question isn’t asking what is equivalent to eight divided one-ninths.
Option B. could possibly be your answer because it is asking what is equivalent to 8/9
Option C. also doesn’t have anything to do with 8/9 because the question isn’t asking what it is equivalent to nine divided one-eighths. 9 1/8 =
Option D. as well doesn’t have to do with 8/9 because the equation isn’t 9/8 so you can’t divided 9 from 8
Based on the information we have now. We can answer the question.
Possible answer: Option B. 8 ÷ 9
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
r(x)=2 square root x s(x)=square root x
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(r/s)(3)=
Answers
Answer:
rs)(4)=(2rootX)(rootX)
(rs)(4)=2x
(rs)(4)=8
(r/s)(3)=(2rootX)/(rootX)
(r/s)(3)=2
Step-by-step explanation:
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12. x-int: 2 y-int:4
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If Tristan wants to stretch the spring by 9 inches, how many kilograms of weight must he apply to it?
Answers
Answer:
Step-by-step explanation:
Substitute y = 9 into the equation y = 3x, or locate the answer on the graph:
y = 3x
9 = 3x.
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[tex]\frac{9}{3}[/tex] = [tex]\frac{3x}{3}[/tex]
3 = x
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5x-4=11
Can anyone answer this for me
Answers
Answer:
3
Step-by-step explanation:
5x=11+4
5x=15
x=15/5
x=3
Answer:
x=3 is the answer.
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Answers
Answer:
234567
Step-by-step explanation:
Answer:
AP equation:
[tex]t_n=t_1+(n-1)d[/tex]Based on the first two terms, we have:
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[tex]t_n=3+(n-1)*6=3+6n-6=6n-3[/tex]Next two terms are:
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someone help please!!
Answers
Answer:
Step-by-step explanation:
Monica’s dog weighed nineteen and four hundred fifteen
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Answer:
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Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
Answer:
[tex]x \geqslant ( - 32) \: \: \: \: or \: \: \: \: ( - 32) \leqslant x[/tex]
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Answers
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Step-by-step explanation:
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Answers
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(x − 2)(x − 3)
Step-by-step explanation:
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
Well when u think about it u can just make a bunch of things by mixing them around I made about 13
red,yellow,orange
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orange,red yellow
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A'b
b,a
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1,2
a,a
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Step-by-step explanation:
you already have 13 inside your question have u tried to use those?
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Answers
Answer:
it remains the same because you can only add like terms, and in this case, b and 4 are not like terms.
Step-by-step explanation:
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Answers
Answer:
Absolute value equations are equations where the variable is within an absolute value operator, like |x-5|=9. The challenge is that the absolute value of a number depends on the number's sign: if it's positive, it's equal to the number: |9|=9. ... So when we're dealing with a variable, we need to consider both cases.