Answer:
d.) 81
Step-by-step explanation:
f(2) would be 27 and 27x3 is 81.
81/3=27
27/3=9
Answer:
Step-by-step explanation:
Write the equations in the form y = mx + b
If the equation contains exponents then it is non-linear, if not then it is linear.
2xy = 3
This graph forms a curve so it is non-linear
y = 1x³ + 5
This equation is non-linear because it contains an exponent
y = x/3
y = 1/3x + 0
This equation is linear ( no exponent(s) )
2y = 1/2x
y = 1/4x + 0
This equation is linear ( no exponent(s) )
Answer: second option y = 2(x + 7/2)^2 + 1/2
Explanation:
1) given:
y = (x + 3)^2 + (x + 4)^2
2) expand the binomials:
y = x^2 + 6x + 9 + x^2 + 8x + 16
3) add like terms:
y = 2x^2 + 14x + 25
4) take common factor 2 of the first two terms:
y = 2 (x^2 + 7x) + 25
5) complete squares for x^2 + 7x
x^2 + 7x = [x +(7/2)x ]^2 - 49/4
6) substitue x^2 + 7x = (x + 7/2)^2 - 49/4 in the equation for y:
y = 2 [ (x + 7/2)^2 - 49/4] + 25
7) take -49/4 out of the square brackets.
y = 2 (x + 7/2)^2 - 49/2 + 25
8) add like terms:
y = 2(x + 7/2)^2 + 1/2
And that is the vertex for of the given expression.
F(x)=x/(3x+2)
f(a+h)=(a+h)/(3a+3h+2)
