Answer:
144
Step-by-step explanation:
First, do the top and bottom. The top is 2*4*3 or 24, and the bottom is 6*4 or 24.
Now, do the sides. It is a staircase that you can split into 6 2x2 blocks, or 6*4=24. Do the same with the other side to get 24 again.
Now for the front and back. This is 2*4*3 and 6*4 again, or 24 and 24.
Now you have 6 24's so just multiply these and get 144.
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
4:44 pm but I might be wrong.
X + y = 62
x - y = 12
Move x over so y is alone in one of the above equations,
y = 62-x
Now substitte in y
x-(62-x) = 12
x - 62 + x = 12
2x = 12 + 62
2x/2 = 74/2
x = 37
Now for y sub in the x!
x + y = 62
(37) + y = 62
y = 62 - 37
y = 25.
So 25 + 37 =62
and 37 - 25 = 12
Method 2 :
Start by stacking the 2 original equations from above,
x+y=62
x-y=12
You want to "cancel" out one of the variable so,
x+y=62
+ + = +
x - y =12
So then you add,
2x = 74
2x / 2 = 74 / 2
x = 37.
Now you can once again sub it back into the original equation to solve for y,
x+y=62
(37)+y=62
y=62-37
y=25
Hope this helps!
