Answer: There are 720 ways to do so.
Step-by-step explanation:
Since we have given that
Number of spaces in a flagpole = 10
Number of types of flag = 3
Number of spaces for red flag = 1
Number of spaces for green flag = 1
Number of spaces for blue flag = 1
We will use "Fundamental theorem of counting":
So, Number of ways that the 10 spaces of the flagpole can be covered with flags such that no spaces is empty is given by
Hence, there are 720 ways to do so.
Wouldnt u add all those amounts of money then divide it by 40 so it would give u the amount of money needed to cover her costs?
Answer:
Well, of course, i can not graph it in the coordinate plane in the image, but i can try to teach you how to do it.
We have the function y = (1/2)*x + 5
The first step is to generate pairs (x, y)
You can do it by evaluating the function in different values of x.
For example;
if x = 0
y = (1/2)*0 + 5 = 5
then we have the point (0,5)
if x = 2
y = (1/2)*2 + 5 = 6
Then we have the point (1, 6)
Now, with only two points you can graph the line.
First find the points in the coordinate plane, and mark them.
Now, with a ruler, draw a line that connects the two points.
That line is the graph of the function.
An example of the graph is:
Answer:
A square root parent function
Step-by-step explanation:
2x^2 + 16x - 10 = 0
2(x^2 + 8x) - 10 = 0
2 [(x + 4)^2 - 16 ]- 10 = 0
[(x + 4)^2 - 16 - 5 = 0
(x + 4)^2 - 21 = 0
(x + 4)^2 = 21