Answer:
Point of x-intercept: (2,0).
Point of y-intercept: (0,6).
Step-by-step explanation:
1. Finding the x-intercept.
This point is where the graph of the function touches the x axis. It can be found by substituting the "y" for 0. This is how you do it:
![y=-3x+6\\ \\-3x+6=0\\ \\-3x=-6\\\\x=\frac{-6}{-3} \\ \\x=2](https://tex.z-dn.net/?f=y%3D-3x%2B6%5C%5C%20%5C%5C-3x%2B6%3D0%5C%5C%20%5C%5C-3x%3D-6%5C%5C%5C%5Cx%3D%5Cfrac%7B-6%7D%7B-3%7D%20%5C%5C%20%5C%5Cx%3D2)
Hence, the point of x-intercept: (2,0).
2. Finding the y-intercept.
This point is where the graph of the function touches the y axis. It can be found by substituting the "x" for 0. This is how you do it:
![y=-3(0)+6\\ \\y=6](https://tex.z-dn.net/?f=y%3D-3%280%29%2B6%5C%5C%20%5C%5Cy%3D6)
Hence, the point of y-intercept: (0,6).
What is the primary responsibility of the legislative branch
That literally means the numbers '5' and '12' written like this: 5 + 12
represent the sum of 5 and 12, which is the same as 5 + 12 (because the sum is when all the numbers are added up).
So it's saying 5 + 12 equals to 17.
Do you get it?
Answer:
C) -144^¹/₃
Step-by-step explanation:
Having a number to the power of a fraction is the equivalent of rooting by its reciprocal. So, the sixth root, fourth root, cube root, and square root. Only odd roots can have negative answers (∛x, x can be negative; √y, y can not be negative unless we talk about imaginary numbers).
Since we are looking for a real number, C, showing a cube root of a negative number, must be the answer.
When you go into this problem, you want to figure out your marble ammount to 50 so in this case we will say C for color and 50 for the total ammount of marbles.
We know 15 are pink, 8 are black, 2 are green, 18 are clear, and 7 are striped
15P/50
8B/50
2G/50
18C/50
7S/50 for a total of 50 marbles
Now we use the chart to decide our awnsers
A. We know our propability of drawing a green and clear is 20/50 which if we simplify is a 2/5 ratio. If We put this in perspective 2/5 is rare and is unlikley to even.
B. We know a striped marble is 18/50 or 1.8/5 ratio which is mainly unlikely
C. We have 23/50 marbles that are black and pink, our propability is about 2.3/5 and gives us an even chance to get one of these
D. We know we have 33/50 marbles that are pink and clear and gives us a 3.3/5 chance of getting one of these and gives us an even to likely chance of getting one of these.
E. If we have a total of 17 marbles in these 3 colors, we have a 1.7/5 chance of getting one of these and is probably impossible to unlikey.