To start off with, I would draw a dotted line to form a rectangle and a square. Then you find the area of the square and the rectangle, and you and them together. Remember area is length times width.
Another way to solve this is draw a line from the 9 long side up and from the 6 long side out. This creates a full rectangle with out any where shapes. Find the area of the rectangle you created by drawing the lines, and subtract it from the area of the whole rectangle.
HOPE THIS HELPS!
The given data can be tabulated as:
Number of swimsuits, s (x) Price, p (y)
0 0
2 23
4 46
6 69
8 92
10 115
We can see that by looking alone, the value of price p is
increasing at a constant rate of 23 therefore the equation relating s and p
must be linear in the form of:
y = m x + b
or
p = m s + b
where m is the slope of the line and b is the y intercept
The slope m can be calculated using the formula below and
any two data points:
m = (y2 – y1) / (x2 – x1)
m = (23 – 0) / (2 – 0)
m = 11.5
The value of b (y-intercept) is the value of y when x =
0, therefore b = 0
The whole equation then becomes:
p = 11.5 s
<h2>
Answer:</h2>
The graph on the top left.
<h2>
Step-by-step explanation:</h2>
f(x) = ![-4^x - 3](https://tex.z-dn.net/?f=-4%5Ex%20-%203)
That means that when x = 0...
f(0) = ![-4^0 - 3](https://tex.z-dn.net/?f=-4%5E0%20-%203)
f(0) = -1 - 3
f(0) = -4
So, the function will have a point at (0, -4). We can eliminate the two graphs on the right.
When x = 1...
f(1) = ![-4^1 - 3](https://tex.z-dn.net/?f=-4%5E1%20-%203)
f(1) = -4 - 3
f(1) = -7
So, the function will have a point at (1, -7). That corresponds to the graph on the top left.
<h2>Hope this helps! </h2>
(-3) - 9 = -12 feet
I hope this helps, feel free to ask any questions you may have
Answer:
So the number of total combinations is 35.
Step-by-step explanation:
We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.
Therefore, she have total 7 courses.
So, we calculate the number of combinations to choose 4 out of 7 courses.
We get:
![C_4^7=\frac{7!}{4!(7-4)!}=35\\](https://tex.z-dn.net/?f=C_4%5E7%3D%5Cfrac%7B7%21%7D%7B4%21%287-4%29%21%7D%3D35%5C%5C)
So the number of total combinations is 35.