Answer:
The relationship exists, so this is a perfect square trinomial.
x
2
−
10
x
+
25
=
(
x
−
5
)
(
x
−
5
)
=
(
x
−
5
)
2
Step-by-step explanation:
Axis of symmetry = x = -b/2a
where y = ax² + bx + c
f(x) = x² + 6x - 1 ⇒ a = 1 ; b = 6 ; c = -1
x = -(6)/2(1) = -6/2 = -3
g(x) = -x² + 2 ⇒ a = -1 ; b = 0 ; c = 2
x = -0/2(-1) = 0/-2 = 0
h(x) = 2x² - 4x + 3 ⇒ a = 2 ; b = -4 ; c = 3
x = -(-4)/2(2) = 4/4 = 1
least : f(x) = x² + 6x - 1 ; axis of symmetry is -3
middle : g(x) = -x² + 2 ; axis of symmetry is 0
greatest : h(x) = 2x² - 4x + 3 ; axis of symmetry is 1
Answer:
a. rational
b. irrational
c. rational
d. rational
Step-by-step explanation:
Let’s make up a random function, say:
f(x) = x^6
Now by power laws we can break this up into two parts:
f(x) = (x^2)*(x^4)
Since we are now multiplying two functions we can apply the product rule:
f’(x) = (2x)(x^4) + (x^2)(4x^3)
Now we can simplify since we are only dealing with x’s:
f’(x) = 2x^5 + 4x^5
f’(x) = 6x^5
If we do the power rule of our initial function, you will find that the two are equal.
Hope this helps!!
Answer:
Step-by-step explanation:
It is a 28×12 rectangle, minus a 5×6 cutout.
area of 28×12 rectangle = 336 ft²
area of 5×6 cutout = 30 ft²
area of carpet = 336-30 = 330 ft²
