Answer: y=x+60
So y=mx+b is slope intercept form
y=x+60
m=1/1 because we go equally up as we go right so just put x
b=60 because we start at 60
Hope this helps
Answer:
a =1 and a=4.
Step-by-step explanation:
The function is
![f(x)=\frac{(x-1)(x^2-4)}{x^2-a}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%28x-1%29%28x%5E2-4%29%7D%7Bx%5E2-a%7D)
If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.
Now, for a a positive real we have that
will annulate the denominator, i.e
. But, if a = 1 we have:
![f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%28x-1%29%28x%5E2-4%29%7D%7Bx%5E2-1%7D%20%3D%20%5Cfrac%7B%28x-1%29%28x%5E2-4%29%7D%7B%28x-1%29%28x%2B1%29%7D%3D%5Cfrac%7B%28x%5E2-4%29%7D%7Bx%2B1%7D)
so, the value
won't annulate the denominator.
Now, for a = 4 we have:
![f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B%28x-1%29%28x%5E2-4%29%7D%7Bx%5E2-4%7D%20%3D%20x-1)
so, the value
won't annulate the denominator.
In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.
Answer:
c. Korey will see an overall profit in his third year of business
Step-by-step explanation:
His cost for first year
= 12500+8000
=$ 20500
Profit first year= $12000
Net Profit first year= -$8500
Second year cost= $8000
Profit second year
= 12000+12000(0.06)
= 12000+720
=$ 12720
Net profit second year = -8500+12720-8000
= -3780
Third year
Cost = $8000
Profit= 12720+12720(0.06)
Profit=$13483.2
Net profit= 13483.2-8000-3780
Net profit= $1703.2
Answer:
D
Step-by-step explanation:
Option 4.
The vertex form of a parabola is
where, a is a constant (h,k) is the vertex.
The given function is
The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in the equation.
g(x) is passed through (3, 6).
Divide both sides by 4.
Substitute a=1 in equation (2).
The function g(x) is g(x) =(x-2)2+5) .
Therefore, the correct option is 4.
hope this helps
I think that O would be greater because the last numbers listed are 100 and 101 and O has the ending value of 101, which is greater than 100, so it only makes sense that O would be a greater number than E.
Hope this helps! ;)