Answer:
The minimum value of f(x) is -21 and it occurs at x = 1
Step-by-step explanation:
f(x) =3x^2-6x-18
Factor out the greatest common factor out of the first two terms
f(x) =3(x^2-2x)-18
Complete the square
-2x/2 =-1 (-1)^2 = 1
Add 1 (But remember the 3 out front so we are really adding 3 so we need to subtract 3 to remain balanced)
f(x) = 3(x^2 -2x+1) -3 -18
f(x) = 3(x-1)^2 -21
This is vertex form
f(x) = a(x-h)^2 +k where (h,k) is the vertex and a is a constant
The vertex is (1,-21)
Since a > 0 this opens upward and the vertex is a minimum
The minimum value of f(x) is -21 and it occurs at x = 1
(3x-4y)^2=9x^2-24x+16y^2
(3x-2)(9x^2+6x+4)=27x^3-8
You should do sport because it gives you a lot of exercise and makes your body healthy. Sports are important because it makes people happy and it shows from studies that oscillatory increases a lot from sports. Sports are fun and exciting and it boots blood flow to the brain. It controls your body weight and it even makes u gain more skills! Kids have a way of breaking bones but sports help bones strengthen. And sports help with anxiety and even depression! I think kids playing sports are a great ideas because every kid needs some fun once and a while
A) x + .07x = 45.50
X is the price of the toy boat, •07x adds the tax for a total paid of $45.50
Answer:
All of them are polynomials except c.
Step-by-step explanation:
Polynomials are in the form:
You can see here there are no extra symbols like square root, cube root, absolute value, and so on on the variable x...
We also don't have division by a variable. All the exponents are whole numbers.
a) While it has a square root, it is not on a variable so a is a polynomial. The exponents on the variables are whole numbers.
b) b is a polynomial also because all the exponents are whole numbers.
c) This is not a polynomial because there is a square root on a variable.
d) This is a polynomial. All the exponents are whole numbers.
