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
Inside of the triangle must = 180. Let angle '4' = x. x + 45 + 47 = 180. Combine like terms, x + 92 = 180. Subtract 92 on both sides, x = 88.
Now angle '4' and angle '3' must equal 180 because they are on the same plane. Let angle '3' = y. y + 88 = 180. Subtract 88 on both sides, y = 92.
So Angle 4 is 88 degrees and Angle 3 is 92 degrees.
We know that the true value for pi is given as 3.14156.
Now, we have been given that the approximate value for pi is 3.141
We know the formula
Absolute error, 
Relative error is given by
![\text{Relative error }= \frac{\Delta x}{\text{true value} }\\ \\ \text{Relative error }=\frac{0.00056}{3.14156} \\ \\ [tex]\text{Relative error }=0.000178](https://tex.z-dn.net/?f=%5Ctext%7BRelative%20error%20%7D%3D%20%5Cfrac%7B%5CDelta%20x%7D%7B%5Ctext%7Btrue%20value%7D%20%7D%5C%5C%0A%5C%5C%0A%5Ctext%7BRelative%20error%20%7D%3D%5Cfrac%7B0.00056%7D%7B3.14156%7D%20%5C%5C%0A%5C%5C%0A%5Btex%5D%5Ctext%7BRelative%20error%20%7D%3D0.000178)
The percentage error is given by

Answer: 0.5
Step-by-step explanation:
You can substitute:
12(-0.25) + 0.35(10)=
-3 + 3.5=
0.5
Answer:
x = 25
Step-by-step explanation:
Assuming Angle A, B and C are angles in a triangle.
∠A + ∠B + ∠C = 180º
(2x - 20) + (120) + (x + 5) = 180
2x - 20 + 120 + x + 5 = 180
3x + 105 = 180
3x = 75
x = 25