Answer:
(2, -10)
Step-by-step explanation:
so first i find the axis of symmetry using the equation x= -b/2a
in this problem
a=3
b= -12
c= 2
- (-12)/ 2(3) = 2
2 will be the x point for your vertex
you then plug in your x point into the original equation and solve for y
y = 3(2)^2 - 12(2) +2
y = -10
Vertex is then (2, -10)
You may notice that all of the terms have a common factor: . So, let's take the out of all the terms. This gives us:
Using the Zero Product Property, we can say that both and .
Let's solve both. is obvious, but we still need to solve our other term:
- Apply the Zero Product Property
Our answer is x = -6, 0, 4.
Answer:
The temperature in Kelvin corresponding to F degrees Fahrenheit is
Step-by-step explanation:
Given : One can convert temperature from Kelvin into Fahrenheit using the formula .
To find : What is the temperature in Kelvin corresponding to F degrees Fahrenheit?
Solution :
Temperature from Kelvin into Fahrenheit is given by,
Writing Kelvin in terms of Fahrenheit,
Subtract 32 both side,
Divide by 95 both side,
Add 273 both side,
Therefore, The temperature in Kelvin corresponding to F degrees Fahrenheit is
The complete question in the attached figure
we have that
f(x) = x²<span> + 1
g(x) = x – 4
step 1
find </span>(f o g)(x)
(f o g)(x)= (x - 4)² + 1(f o g)(x) = x² - 8x + 16 + 1
(f o g)(x) = x² - 8x + 17
step 2
find (f o g)(10)
(f o g)(10) = 10² - 8*(10) + 17
(f o g)(10 = 100 - 80 + 17
(f o g)(10)= 37
the answer is 37