Answer:
50-25 2/3 - 9 3/4 - 8 1/2 = 6 1/12
Step-by-step explanation:
To do this without a calculator you need to get common denominator
a good choice would be 12 for the common denominator
50 x 12 = 600
25 x 12 = 300
convert to 2/3 to x/12, multiply top and bottom by 4
2/3 x 4 = 8/12
add this to the 300 to get 308/12
same with the other terms
9 x 12 = 108
convert 3/4 to x/12, multiply top and bottom by 3
3/4 x 3 = 9/12
add this to the 108 to get 117/12
and do the same for the 8 1/2
8x 12 = 96
convert 1/2 to x/12, multiply top and bottom by 6
1/2 = 6/12, add this to the 96
do the subtraction and simplify
Answer:
Both of these triangles are congruent.
Step-by-step explanation:
All 3 angle measures of both of the triangles are equivalent and correlate to each other. This makes the triangles congruent.
There is only 1 real number solution
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
