-2x+6y=12 in graph ???
Answers
Hope this helps!
rewrite to y = mx + b
m is slope and b is y-intercept
-2x + 6y = 12
add 2x to both sides
6y = 2x + 12
divide both sides by 6
y = 1/3x + 2
Slope, rise 1 over 3
y-intercept at (0, 2)
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Related Questions
consider the following system with a solution (1,3) equation 1 of the system 2x+y=5 equation 2 of the system x-2y=-5 prove that replacing the first equation with the sum of the equation and a multiple of the other produces a system with the same solution
Answers
To prove that replacing the first equation with the sum of the equation and a multiple of the other produces a system with the same solution, we will first calculate the solution to the original system. Then we will calculate the solution to the modified system of equations and check if the solution is the same.
Explanation:To prove that replacing the first equation with the sum of the equation and a multiple of the other produces a system with the same solution, we will first calculate the solution to the original system of equations (1,3). Then we will calculate the solution to the modified system of equations in which the first equation is replaced with the sum of the two equations. If the solution to the modified system is also (1,3), then we have shown that the modified system has the same solution.
Original system:
Equation 1: 2x + y = 5
Equation 2: x - 2y = -5
Substitute x = 1 and y = 3 into the original equations to check if it is a solution:
Equation 1: 2(1) + 3 = 5 => 2 + 3 = 5 => 5 = 5 (true)
Equation 2: 1 - 2(3) = -5 => 1 - 6 = -5 => -5 = -5 (true)
Hence, (1,3) is a solution to the original system of equations.
To create the modified system, we will sum equation 1 and a multiple of equation 2:
New equation 1: (2x + y) + k(x - 2y) = 5 + k(-5), where k is a constant
Expanding and simplifying the equation:
(2 + k)x + (1 - 2k)y = 5 - 5k
Let's substitute x = 1 and y = 3 into the modified equation to check if (1,3) is a solution:
(2 + k)(1) + (1 - 2k)(3) = 5 - 5k
2 + k + 3 - 6k = 5 - 5k
3 - 5k = 5 - 5k
3 = 5 (false)
Therefore, the modified system does not have the same solution as the original system, disproving the statement.
Learn more about System of Equations here:https://brainly.com/question/21620502
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What shows all like terms in this expression?
4x - 3 + 7x + 1
Answers
Answer:
a
Step-by-step explanation:
n complete two or more sentences, determine the appropriate model for the given data and explain how you made your decision. (1,0), (2,1.5), (5,2.5), (8,3)
Answers
For this case, the function has a logarithmic behavior, therefore, we choose a linear logarithmic trend.
The function that best suits the problem is:
y = 1.4004ln (x) + 0.2158
The value of R ^ 2 indicates the accuracy of the function
R² = 0.9691
For R ^ 2 = 1 the function is completely accurate.
We note that in that case R² = 0.9691, the function chosen has a good approximation.
The square of a positive number decreased by twice the number is 48. Find the number
Answers
8^2-16=48
stewart draws a triangle , and each side is 2 1/6 inches long. Judith draws a square , each side is 1 5/8 inches long . which figure has the greater perimeter, the triangle or the square?
Answers
Upon calculating, it is found that both Stewart's triangle and Judith's square have the same perimeter of 6 1/2 inches. This shows that despite different shapes, their perimeters can be equal if the lengths of their sides are chosen accordingly.
Explanation:The question is about comparing the perimeters of a triangle drawn by Stewart and a square drawn by Judith. Stewart's triangle has each side measuring 2 1/6 inches long, which when converted to improper fraction becomes 13/6 inches. For the triangle, the perimeter is calculated by multiplying the length of one side by three (since a triangle has three sides). The perimeter of Stewart's triangle is 13/6 * 3 = 39/6 = 6 1/2 inches.
Judith's square has each side measuring 1 5/8 inches long, which is equivalent to 13/8 inches. For the square, the perimeter is the length of one side times four (because a square has four equal sides). Thus, the perimeter of Judith's square is 13/8 * 4 = 52/8 = 6 1/2 inches.
Therefore, both the triangle and the square have the same perimeter of 6 1/2 inches.
Last year, at the Great American Pie Festival, over 16,000 slices of pie was eaten. If each piece of pie is 1/8 of and entire pie, how many pies were eaten at the festival?
Answers
Answer:
2,000 pies!
Step-by-step explanation:
10p = 66 what is the value of p
Answers
divide 10 from both sides
10p/10 = 66/10
p = 66/10
p = 6.6
6.6 is your answer
hope this helps
50 POINTS!!! SHOW YOUR WORK AND ANSWER CORRECTLY OR ELSE A MODERATOR WILL HANDLE YOU! Let f (x) = −x^2 − 5x + 36. What is the value of f(-3)? Show your work. Best answer gets brainliest.
Answers
Your question states:
Let f (x) = −x^2 − 5x + 36. What is the value of f(-3)?
Your answer would be:
42
Your explanation:
3^2-5(-3)+36
9-15+36
6+36
[tex]f(x) = -x^2-5x+36\qquad \qquad f(-3)=? \\ \\ \\f(-3) = -(-3)^2-5(-3)+36\\ \\f(-3) = -(9)-5(-3)+36\\ \\f(-3) = -9+15+36 \\ \\ \boxed{f(-3) = 42} [/tex]
when writing an equation of a proportional relationship in the form y equals KX what does K represent
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Answer:
k = the constant of proportionality .>. sorry this already kinda answered ;w;'
The length of a rectangle is 6 inches more than it’s with the perimeter of the rectangle is 24 inches what is the width and length of the rectangle
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L= W+6= length
P= 24 inches
Perimeter= 2(W + L)
substitute L= W+6 for L
24= 2(W +(W+6)
combine like terms in parentheses
24= 2(2W + 6)
multiply 2 by all in parentheses
24= (2*2W) + (2*6)
24= 4W + 12
subtract 12 from both sides
12= 4W
divide both sides by 4
3= W
W= 3 inches
L= W+6= 3+6= 9 inches
CHECK:
24= 2(3 + 9)
24= 2(12)
24= 24
ANSWER:
W= 3 inches
L= 9 inches
Hope this helps! :)
Jamal wants to build a square pen for his dog that has an area of 144 ft². What is the length of each side of the pen?
A: 12ft
B: 15ft
C: 36ft
D: 72ft
Answers
Jones of Boston borrowed $40,000, 90 day, 10% note. After 60 days Jones made an initial payment of $6,000. Assuming the U.S. Rule what is adjusted balance after the first payment. Use 360 days.
Answers
Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed belowThe water level increases by 1 inch each hour.
A The water level increases by 1 inch each hour.
B The water level increases by 2 inches each hour.
C The water level increases by a factor of 1/2each hour.
D The water level increases by a factor of 2 each hour.
Answers
Why is subtracting an expression similar to distributing -1? Explain.
Answers
2x - 1(x - 3). This helps us see the distributive property applies here:
2x - 1x - 1(-3)
2x - 1x - -3
2x - 1x + 3
1x + 3 = x + 3
Subtracting an expression is akin to distributing -1 to each term within the expression. This is because subtraction can be viewed as adding the negation of the expression, which involves multiplying each term by -1. So, each term within the expression gets negated when subtracting.
When you subtract an expression, you can think of it as distributing a negative sign (-1) to each term within the expression. Here's a step-by-step explanation:
Start with the expression you want to subtract from, let's call it A.
When you subtract another expression, let's call it B, from A, you're essentially adding the negation of B to A.
The negation of B is obtained by multiplying each term of B by -1.
Distributing -1 to each term of B results in subtracting each term of B individually from A.
This process aligns with the distributive property, making subtracting an expression akin to distributing -1 to each term within the expression.
Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each of them weigh? Greg weighs 200 pounds, and Justin weighs 185 pounds. Greg weighs 190 pounds, and Justin weighs 175 pounds. Greg weighs 180 pounds, and Justin weighs 165 pounds. Greg weighs 170 pounds, and Justin weighs 155 pounds.
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Answer:
greg weighs 180 justin weighs 165
Step-by-step explanation:
Helpppp please anyone. I don't understand
Answers
Your friend invites you to go to an indoor skateboard park. You'd like to go, but since you don't have a helmet or knee pads, you'll have to rent them. You'll also need to but a day pass to enter the park.
Write a formula that will help you determine your total cost.
Let's let:
h = helmet rental
k = knee pad rental
p = cost of day pass
c = total cost
Answers
What is the area of the triangle in this coordinate plane
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Represent the proportional relationship described with an equation where p equals pepperoni and z equals pizza: eighteen pepperoni for each pizza A) p = 18z B) 18p = z C) p = 18 z D) z = 18 p
Answers
Answer:
The answer is A. p=18z I just took the test
Answer:
It is A I got it right on usa test prep
Step-by-step explanation:
What number could be added to 0.40 mL for the level of precision to be 0.01mL
Answers
Answer:
- 0.39
Step-by-step explanation:
Level of precision = 0.01 mL
We need to find a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .
Let x be a number which could be added to 0.40 mL for the level of precision to be 0.01 mL .
[tex]x+0.40=0.01[/tex]
On subtracting 0.40 from both sides , we get
[tex]x+0.40-0.40=0.01-0.40[/tex]
On solving , we get
[tex]x+0=0.01-0.40[/tex]
We know that [tex]x+0=x=0+x[/tex] where 0 is the additive inverse .
So,
[tex]x=0.01-0.40[/tex]
Here , [tex]0.01-0.40=-0.39[/tex]
Therefore ,
[tex]x=0.01-0.40=-0.39[/tex]
Therefore , -0.39 could be added to 0.40 mL for the level of precision to be 0.01mL
Multiply: (−8x − 15)(−12x2 + 12x + 3)
A) 96x3 + 84x2 − 156x − 45
B) 96x3 + 84x2 − 204x − 45
C) 96x3 + 276x2 − 204x − 45
D) 96x3 − 84x2 − 156x − 45
Answers
if you want the steps you can leave a comment...
Somebody Really Help On These Questions 5 and 6!!!!!!!!!!!!!!!
Answers
6 + 6 = 12
n is the same thing on both sides of the equation
6 + 6 - n = 12 - n
You are taking an equal amount off both sides so the left and right sides are both equal still. Try it. Let n = 0.5
6 + 6 - 0.5 = 12 - 0.5
6 + 5.5 = 11.5
11.5 =? 11.5
They are both equal. In algebra a letter in an equation like this one can't change values if that letter is on opposite sides of the equation.
Six
9.5 y + 600 < 900
9.5 y = 300
y < 300 / 9.5
y < 31.57
If there's no sales tax where he lives, he can take 31 students. If it is possible to take 0.57 of a student then he can take 32 (but of course it isn't possible).
Christopher Christopher just found beautiful yarn for 20% off at his favorite yarn store. He can make one scarf from 2/3 of a ball of yarn. If Christopher buys 12 balls of yarn, how many scarves can he make
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12/.6 repeating = 18
13 balls of yarn would be used to make 18 scarves.
Let's convert 2/3 to a decimal and then divide 12 balls of yarn by that.
To convert a fraction to a decimal, we must divide its numerator by its denominator.
2 ÷ 3 = 0.67 (6 Repeating)
Now, divide 12 yarn balls by this:
12 ÷ 0.67 (Repeating) = 17.91 (Repeating decimal)
A N S W E R:
Christopher can make 18 scarves with 12 balls of yarn.
HELP What is the area of this figure?
Answers
_____________________________________________________
First, find the area of the triangle:
The formula of the area of a triangle, "A":
A = (1/2) * b * h ;
in which: " A = area (in units 'squared') ; in our case, " yd² " ;
" b = base length" = 6 yd.
" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;
= " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:
The formula for the area, "A" of a square:
A = s² ;
in which: "A = area (in "units squared") ; in our case, " yd² " ;
"s = side length (since a 'square' has all FOUR (4) equal side lengths);
A = s² = (4 yd)² = 4² * yd² = "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
→ " 24 yd² + 16 yd² " ;
to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
_________________________________________________
Need help with number 12 please, thanks.
Answers
Oki I have a few but I’m giving a lot of points I just didn’t feel like doing them separate.
Anne wants to draw two adjacent angles on a straight line. She wants one angle to be 24 degrees more than the other angle. Select two correct choices.
A. The measure of the smaller angle is 33 degrees.
B. The measure of the smaller angle is 78 degrees
C. The measure of the larger angle is 57 degrees.
D. The measure of the larger angle is 102 degrees.
A triangle has a side 4.23 meters in length, a 63.2 degree angle, and a 75.9 degree angle. Which of the following statements about the triangle is true. Select all that apply.
A. The triangle is an obtuse triangle.
B. The triangle cannot be equilateral.
C. The triangle must have a third angle measuring 40.9 degrees.
D. The triangle should be isosceles
3. Mika used the proportion y-3 over x equals one third. (Y-3/x= 1/3). When deriving the equation on a line with similar triangles. Which of the statements are correct. Select two that apply.
A. It has a slope of negative one third. (-1/3)
B. It has a slope of one third. (1/3)
C. It has a slope of 3.
D. It has a y intercept of 3.
E. It has a y intercept of one third. (1/3)
F. It has a y intercept of 3.
This is a parallelogram shaped sliding door. It has four sides. (P,Q) (P,S) (S,R) (Q,R) and (Q,P)
More simply... Q is on the top right corner of the parallelogram, R is on the bottom right corner of the parallelogram, S is at the bottom left corner, and P is at the top left corner.
Which two of the statements are true if the door moves two feet to the right.
A. Side PQ would be parallel to SR, and angle R would measure 56 degrees.
B. Side PS would be parallel to side QR and angle S would measure 124 degrees.
C. Side PQ would be parallel to side PS and angle P would measure 56 degrees.
D. Side QR would be parallel to side SR and angle Q would equal to 62 degrees.
Last one!!
A parallelogram has the verifies (-4,2) (-3,5) (2,-2) (3,5)
The parallelogram was rotated 270 degrees counterclockwise about the origin. Which 3 would be the vertex of the origin.
A. (-3,5)
B. (-2,-2)
C. (-2,4)
D. (2,4)
E. (3,-5)
F. ( I’m rlly sry but I forgot this one)
Answers
180-63.2-75.9=40.9°. This means C is correct.
This also means that B is correct; if a triangle is equilateral, all angles must be congruent as well, which these are not.
Cross multiplying the proportion we have:
x*1 = 3(y-3)
1x = 3y - 9
Solving for y, we first cancel the 9 by adding:
1x+9 = 3y
Now we cancel the 3 by dividing:
1x/3 + 9/3 = 3y/3
1/3x + 3 = y
In this format, we can see that the slope (m) is 1/3 and the y-intercept (b) is 3.
Going by the directions for the points P, Q, R, and S, PQ would be parallel to SR and PS would be parallel to QR. These sides are not parallel to any other sides of this figure.
For the last problem, the vertices given do not form a parallelogram. There is only 1 pair of parallel sides using these points.
The correct option is (A) (-3,5). The answer covers the relationship between angles in quadrilaterals, properties of triangles, and concepts related to similar triangles and equations.
Angles in quadrilaterals:
In the first scenario, if one angle is 24 degrees more than the other on a straight line, the correct choices are A. The measure of the smaller angle is 33 degrees and D. The measure of the larger angle is 102 degrees.
Triangles:
For the triangle with sides 4.23 meters, the correct statements are A. The triangle is an obtuse triangle and D. The triangle should be isosceles.
Similar Triangles and Equations:
When using the proportion y-3/x=1/3, the correct statements are A. It has a slope of -1/3 and E. It has a y-intercept of 1/3.
A human society has 73 dogs and cats to be adopted. the number of cats is 10 more than twice the number of dogs. Write a system of linear equations that represent this situation. How many of each animal is up for adoption?
Answers
dogs: x
cats: 2x+10
2x+10+x=73
3x+10=73
3x=63
x=21
dogs: x
dogs: 21
cats: 2x+10
cats: 52
Check answer:
cats+dogs=73
52+21=73
There's no need for a system of linear equations if you were to solve a real life problem like this. In calculus, they don't give a rat about HOW you get your answer to an easy algebra 1 equation, as long as you used one of the correct methods and got the right answer.
Best of luck my friend. :)
A linear equation of one variable is expressed in the form of ax + b = 0, where a and b are the two integers, and x is a variable.
In the given question, the linear equation can be represented as:
2x + 10 + x = 73.
The number of dogs is 21, and the number of cats available is 52.
Given that:
Total number of dogs and cats = 73
Let the number of dogs be x.
The number of cats, as given is = 10 + 2x
Now, solving for the equation:
x + 10 + 2x = 73
Solving for the variables:
3x + 10 = 73
3x = 73 -10
3x = 63
x = [tex]\dfrac {63}{3}[/tex]
x = 21
The number of dogs available is 21.
The number of cats available is:
2x + 10
Putting the value of x:
2 (21) + 10
52
Thus, the number of dogs is 21, and the number of cats available is 52.
To know more about linear equations, refer to the following link:
https://brainly.com/question/11897796
Jerry started doing sit-ups every day. The first day he did 15 sit-ups. Every day after that he did 4 more sit-ups than he had done the previous day. Today Jerry did 65 sit-ups. Write an equation that could be solved to find the number of days Jerry has been doing sit-ups, not counting the first day. Let n represent the number of days.
Thanks
Answers
The first day Jerry did 15 sit-ups:
a0 = 15
The 2nd day he did 4 more sit-ups then the previous:
a1 = a0 + 4
The 3rd day he did 4 more sit-ups then the previous:
a2 = a1 + 4
a2 = a0 + 4 + 4
a2 = a0 + 4*4
the (n+1)-th day he did:
an = a0 + 4n
Today Jerry did 65 sit-ups means we have: an = 65 and we need to find n
a0 + 4n = 65
15 + 4n = 65
Now to solve
subtract 15 from both sides
4n = 50
divide both sides by 4
n = 12.5
But I think this is counting the first day
Not counting the first day would be
4n = 65
n = 16.25
I guess that's the answer :)
dennis wants to buy a card for his wife. dennis calculates the amount of the card as $4.50. the actual price of the card is $4. what is Dennis's percent error?
Answers
To find the percent error, divide the error by the actual price and multiply by 100 %. Hence, $.50/$4 =.125 x 100 = 12.5 %.
Dennis' percent error is 12.5 %.
Final answer:
Dennis's percent error in estimating the price of the card is 12.5%, calculated by taking the difference between his estimate and the actual price, dividing by the actual price, and then multiplying by 100.
Explanation:
Dennis calculated the amount of the card as $4.50, but the actual price is $4.00. To find Dennis's percent error, we'll need to calculate the difference between his estimated price and the actual price, and then divide that by the actual price. Finally, we'll multiply that number by 100 to get the percent error.
Here's how we'll calculate it:
Divide the error by the actual value: $0.50 ÷ $4.00 = 0.125.
Multiply by 100 to convert to a percentage: 0.125 × 100 = 12.5%.
The percent error in Dennis's estimate is 12.5%.
Write the first terms of the sequence. Rule:start at 1/2,add1/3
Answers
1/2+1/3=5/6
5/6+1/3=1 1/6
1 1/6+1/3=1 1/2