The graph of linear equation 2x - 3y = -12 is as shown below.
I this question, we have been given a linear equation 2x - 3y = -12
We need to graph the points.
For x = 1,
2(1) - 3y = -12
2 - 3y = -12
-3y = -14
y = 14/3
For x = 0,
2(0) - 3y = -12
y = (-12)/(-3)
y = 4
For x = -1,
2(-1) - 3y = -12
-3y = -12 + 2
y = (-10) / (-3)
y = 10/3
So, we get coordinates (1, 14/3), (0, 4) and (-1, 10/3)
Now we plot these points.
The graph of linear equation 2x - 3y = -12 is as shown below.
Learn more about the linear equation here:
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Answer: Each have to sell 91 candy bars to have the same amount of money.
Step-by-step explanation: Suppose x represents the amount of candy bars.
Team A already have $165 and they are selling each candy bar for $2. The mathematical equation that represents the amount of money they have is
A: 165 + 2x
Team B initially has $74 and will sell each candy bar for $3. Then, the mathematical equation representing their amount of money is
B: 74 + 3x
So, to have the same amount of money:
165 + 2x = 74 + 3x
x = 165 - 74
x = 91
<u>Teams A and B will have the same amount of money when each of them </u><u>sell 91 candy bars</u>.
So the so the product of two consecutive numbers is 4160 or
x(x+1)=4160
distribute
x^2+x=4160
subtract 4160 from both sides
x^2+x-4160=0
find the factor (if you want to know how, just ask in the comments)
(x-64)(x+65)=0
so the answer is x could be 64 or -65
so the number that work are 64,65 and -65,-64
You need to measure the angles wich means that u use a protractor if the angle is 90 degrees is a straight angle if it is below 90 degrees is acute and if it is above 90 degrees it's obtuse