Put ur equation in y = mx + b form because the slope will be in the m position.
5x + 3y + 12 = 0
3y = -5x - 12
y = -5/3x - 4
y = mx + b
y = -5/3x + (-4)......as u can see, the number in the m position (the slope) is -5/3 <===
In order to round a number to the nearest thousandths, we have to check the number in the ten thousandths place:
1- If the number in the ten thousandths is less than 5, then the thousandths number will remain the same and all numbers after it will be converted to zeroes.
2- If the number in the ten thousandths is equal to or greater than 5, then the thousandths number will be incremented by 1 and all numbers after it will be converted to zeroes.
Applying this to the given number:
<span>1.80431
</span>The number in the ten thousandths position is 3 which is less than 5.
Therefore, rounding <span>1.80431 to the nearest thousandths will be:
</span>1.80400 which is equivalent to 1.804
What kind of table?
Because for every the x would be 2
We need a list of order pairs to choose from.
Answer: Choice A
y = -3(x+2)^2 + 10
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Work Shown:
y = -3x^2-12x-2 is in the form y = ax^2+bx+c with
a = -3
b = -12
c = -2
The x coordinate of the vertex is
h = -b/(2a)
h = -(-12)/(2*(-3))
h = 12/(-6)
h = -2
We'll plug this into the original equation to find the corresponding y coordinate of the vertex.
y = -3x^2-12x-2
y = -3(-2)^2-12(-2)-2
y = 10
So k = 10 is the y coordinate of the vertex.
Overall, the vertex is (h,k) = (-2,10)
Meaning that we go from this general vertex form
y = a(x-h)^2 + k
to this
y = -3(x - (-2))^2 + 10
y = -3(x+2)^2 + 10