To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number <em>subtracted </em>from the square root. In other words, the conjugate of
would be
.
Applying that information to our fraction shown here, the conjugate of the denominator would be
. We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.



Our answer is
.
Answer:
.2
Step-by-step explanation:
first you add all the pencils up which is 12 next take the probably of taking out one of each pencil .4 for green .2 for black and .6 for yellow next you divide the probably for pulling 1 green bye 2 since your pulling out 2
Answer:
1. -3 2. 3
Step-by-step explanation:
Evaluate each expression is very simple concept in math. When you substitute a particular value for each variable and then act the operations called evaluating expression.
Hey there!
First, we see that it's already written in slope intercept, y = mx + b where m is the slope and b is the y intercept, we just need to simplify the like terms on the right. We have:
y = 12x-5x-2
y = 7x - 2
Now that we have it in slope intercept form, whenever we have an x intercept, since it is crossing the x axis, there's no y value. We plug in 0 for y:
0 = 7x - 2
2 = 7x
2/7 = x
The x intercept is (2/7, 0)
Hope this helps!