Evaluate xy-yt
if x=12, y=1/3, and t=6.
xy - yt
= y(x - t)
= (1/3)(12 - 6)
= (1/3)(6) = 2
Sure, let's evaluate xy-yt with x=12, y=1/3, and t=6.
We have xy-yt = (12)*(1/3) - (1/3)*(6)
Now, we can simplify this expression:
= 4 - 2
= 2
So, xy-yt evaluates to 2. Now, go earn those math points!
To evaluate xy - yt with x=12, y=1/3, and t=6, we substitute the given values into the equation and calculate:
xy - yt
Replacing x with 12, y with 1/3, and t with 6, we get:
(12)(1/3) - (1/3)(6)
To simplify the expression, we can first multiply the numerators and denominators separately:
(12/1)(1/3) - (1/3)(6/1)
Next, multiply across the numerators:
(12)(1)/(1)(3) - (1)(6)/(3)(1)
Simplifying further:
12/3 - 6/3
Both fractions have the same denominator, so we can subtract them directly:
(12 - 6)/3
The numerator simplifies to:
6/3
And finally, dividing gives us the result:
2
To evaluate the expression xy - yt, we substitute the given values of x, y, and t into the expression and perform the necessary calculations.
Given:
x = 12
y = 1/3
t = 6
Substituting the values:
xy - yt = (12)(1/3) - (1/3)(6)
Calculating the products:
xy = 12 * (1/3) = 12/3 = 4
yt = (1/3) * 6 = 6/3 = 2
Substituting the calculated values:
xy - yt = 4 - 2 = 2
Therefore, when x = 12, y = 1/3, and t = 6, the value of xy - yt is 2.