(0, 5) is the minimum value.
Find the axis of symmetry by plugging the respective variables into -b/2a
-5/2(0) = 0
There is no b-value in our equation, or rather, the value of b is 0. To see this, y = 2x^2 + 5 can be written as
y = 2x^2 + 0x + 5
We plug 0 into f(x), establishing every x-value as 0.
f(0) = 2(0)^2 + 5
f(0) = 0 + 5
f(0) = 5
5 is now your vertex’s y-value. Plot the two values together.
(0, 5)
We know that this is a minimum because the leading coefficient is positive, meaning the the graph’s parabola will open down.
Answer:
To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:
x2 – 6x + 8 = (x – 4)(x – 2)
The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)
Step-by-step explanation:
Answer:
Step-by-step explanation:
This question is asking you to insert two equations, f(x) and g(x), into the equation g(x) - f(x). This will lead to the equation below.
Now we can solve for the equation.
Answer:
111.76 cm
Step-by-step explanation:
The formula for the perimeter of a triangle is given as:
Side A + Side B + Side C
Since our final answer is going to be in centimeters we have to convert the sides from inches to centimeters
Hence:
1 inch ~ 2.54 centimeters
For 12 inches
1 inch = 2.54 cm
12 inches = x
Cross Multiply
x = 12× 2.54 cm
x = 30.48 cm
For 14 inches
1 inch = 2.54 cm
14 inches = x
Cross Multiply
x = 14× 2.54 cm
x = 35.56 cm
For 18 inches
1 inch = 2.54 cm
18 inches = x
Cross Multiply
x = 18× 2.54 cm
x = 45.72 cm
Hence, the perimeter of the triangle
= 30.48 cm + 35.56 cm + 45.72 cm
= 111.76 cm
