Step-by-step explanation:
Answer:
the surface area increases by 37.38
Step-by-step explanation:
This is the equation for future reference.
A=2(wl+hl+hw)
Answer:
f(1/4) = 1/12
Step-by-step explanation:
f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.
It is the same as having
y = 4x^2 - 2/3 x
For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.
If you were given
y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?
You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.
Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?
Let's calculate it:
f(x) = 4x^2 - 2/3 x
To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.
f(1/4) = 4(1/4)^2 - (2/3)(1/4)
f(1/4) = 4(1/16) - 2/12
f(1/4) = 4/16 - 2/12
f(1/4) = 1/4 - 2/12
f(1/4) = 3/12 - 2/12
f(1/4) = 1/12
<span>Que quieres decir que sucesiones van de 2,7,8?</span>
10.
x+2 , 10x^2-25x-15
____ x ___________
5x-15 , 1
simplify
x+2 , (10x+5)(x-3)
____ x ___________
5(x-3) , 1
x+2 , 5 (2x+1)
____ x ___________
5 , 1
x+2 , (2x+1)
____ x ___________
1 , 1
(x+2)(2x+1)
11.
x^2+6x+9 , x^2-9
________ ÷ ______
x-1 , x^2-2x+1
change ÷ to × and flip second fraction
x^2+6x+9 , x^2-2x+1
________ × ______
x-1 , x^2-9
simplify
(x+3)(x+3) , (x-1)(x-1)
________ × ______
x-1 , (x-3)(x+3)
(x+3) , (x-1)
________ × ______
1 , (x-3)
(x+3)(x-1)
_______
(x-3)
12.
12t^6-8t^8
________
2t^3
simplify
12t^6 , 8t^8
____ - ____
2t^3 , 2t^3
6t^3-4t^5
13.
6 , 1
___ - ___
x+2 , x+9
multiply
6 (x+9) ,1 (x+2)
______ - _______
x+2(x+9) , x+9 (x+2)
6x+54 , x+2
_________ - _______
x^2+11x+18 , x^2+11x+18
(6x+54)-(x+2)
__________
x^2+11x+18
6x+54-x-2=
5x+52
______
x^2+11x+18
