Hi.
The first question is a direct variation — specifically y = 1.8x
In the second one (if my calculations are correct), it's not a direction variation.
Hope this helps :)
Calculations:
y = 1.8(3) = 5.4
y does not equal x, 2x, or -2x.
Line I was translate up 5 units
Answer:
x equals plus or minus square root of 5 minus 1
Step-by-step explanation:
we have
![x^{2} +2x=4](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x%3D4)
Divide by 2 the coefficient of the x-term
![2/2=1](https://tex.z-dn.net/?f=2%2F2%3D1)
squared the number
![1^2=1](https://tex.z-dn.net/?f=1%5E2%3D1)
Adds both sides
![x^{2} +2x+1=4+1](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x%2B1%3D4%2B1)
![x^{2} +2x+1=5](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B2x%2B1%3D5)
Rewrite as perfect squares
![(x+1)^{2}=5](https://tex.z-dn.net/?f=%28x%2B1%29%5E%7B2%7D%3D5)
take the square root both sides
![x+1=(+/-)\sqrt{5}](https://tex.z-dn.net/?f=x%2B1%3D%28%2B%2F-%29%5Csqrt%7B5%7D)
![x=(+/-)\sqrt{5}-1](https://tex.z-dn.net/?f=x%3D%28%2B%2F-%29%5Csqrt%7B5%7D-1)
therefore
x equals plus or minus square root of 5 minus 1
Answer:
x^2-4x+3
Step-by-step explanation:
Since the zeroes of the quadratic are 1 and 3, we can set up an equation in factored form:
(x-1)(x-3)
=x^2-4x+3
We can further check that this is the right answer by evaluating it at the vertex:
(2)^2-4*2+3=-1
Since that corresponds to the graph, the answer is x^2-4x+3
Answer:
190% of 66= 125.4
rounded to the nearest tenth:130