Answer:
Vertex : (1, -9)
Axis of symmetry : x = 1
x-intercepts : (-2, 0), (4, 0)
y-intercept : (0, -8)
hope this is what you're looking for :)
Answer:
It is impossible to have two consecutive integers add up to an even number.
Step-by-step explanation:
x + (x + 1) = 132
2x + 1 = 132
2x = 132
x = 65.5
We can't get two consecutive integers to add up to an even number, as two consecutive integers will always be an odd number and an even number will always add up to an odd number, which 132 is not.
You can of course get two numbers that are 1 apart, and those would be 65.5 and 66.5, but those are not integers.
1+1 is 2
I hope that helped
Answer:
4y = 3x + 4
3x-4y = -4 is correct
Step-by-step explanation:
This is what we do.
We first express the first equation in the form;
y = mx + c
where m represents the slope of the line
Thus we have;
4y = 3x -7
divide through by 4
y = 3/4x -7/4
Thus the slope here is the coefficient of x which is 3/4
Now, since the lines are parallel, it means that their slopes are equal
So the slope of the other line too is 3/4
We now use the point slope form to find the equation of this other line
Mathematically, that would be;
y-y1 = m(x-x1)
where (x1,y1) = (-4,-2)
Substituting this into the point slope equation, we have;
y-(-2) = 3/4(x-(-4))
y + 2 = 3/4(x + 4)
Cross multiply
4y + 8 = 3x + 12
4y = 3x + 12-8
4y = 3x + 4
I took the liberty of finding for the complete question.
And here I believe that the problem asks for the half life of Curium. Assuming
that the radioactive decay of Curium is of 1st order, therefore the
rate equation is in the form of:
A = Ao e^(-kt)
where,
A = amount after t years = 2755
Ao = initial amount = 3312
k = rate constant
t = number of years passed = 6
Therefore the rate constant is:
2755/3312 = e^(-6k)
-6k = ln (2755/3312)
k = 0.0307/yr
The half life, t’, can be calculated using the formula:
t’ = ln 2 / k
Substituting the value of k:
t’ = ln 2 / 0.0307
t’ = 22.586 years
or
t’ = 22.6 years
