Answer: 
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
X=5.2
Hope this was helpful
The probability of picking red button is 
<u>Solution:</u>
Given, A jar contains 30 red, 30 blue, and 60 white buttons.
You pick one button at a random choice,
We have to find the probability that it is red button.
Now, total number of buttons = 30 + 30 + 60 = 120 buttons.
Number of favourable cases for red button = 30 red buttons.
The probability of an event is given as:
Thus the probability that it is red is
Answer:
3.4*10^1159
Step-by-step explanation:
2,000,000 x 10,000 x 170 x 10E1146
2,000,000 x 10,000 = 2*10^10
2*10^10*170 =340*10^10
Putting this in proper scientific notation by moving the decimal 2 places to the left, means adding 2 to the exponent
3.4*10 ^ (10+2)
3.4*10^12
10E 1146 means 10*10^1146
This is really 1 * 10^(1146+1)
3.4*10^12 * 10^1147
We add the exponents
3.4*10^(12+1147)
3.4*10^1159
We are given that Peter buys 12 bunches of bananas for 9.00.
We need to determine how much peter will pay for 8 bunches.
Let us set up proportion now.
12 bunches of bananas for 9.00 = 12 : 9
Let us assume Peter will pay for 8 bunches = $x.
Therefore, 8 bunches of bananas for x = 8 : x.
<h3>Setting up proportion:</h3><h3>
</h3>
On cross-multiplying, we get
12x = 9×8
12x = 72.
Dividing both sides by 12, we get
x=6.
<h3>Therefore, Peter will pay $6 for 8 bunches.</h3>
