Answer:
see explanation
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the measure of a side of the square )
Here s = x + 2 and A = 7, thus
(x + 2)² = 7 ← expand left side using FOIL
x² + 4x + 4 = 7 ( subtract 4 from both sides )
x² + 4x = 3 ← as required
Answer:
Using the point (-2,-4) it would be:
y + 4 = 1/3(x + 2)
Using the point (4,-2) it would be:
y + 2 = 1/2 (x - 4)
Step-by-step explanation:
hope this helps :)
Answer:
The probability of that at least one marble is drawn is 2/7
Step-by-step explanation:
1/7+ 1/7=2/7
First of all, let's consider the line, since it's simpler to graph: we draw the endpoints and connect them:

So, you just need to draw the points

As for the trigonometric function, we have to start from the parent function
and derive the graph of its child function via transformations:
- When we multiply the whole function by 2, we stretch the graph vertically. So, the function has still period
, but now it ranges from -2 to 2 instead of from -1 to 1 (amplitude 2) - When we multiply the argument by 2, we compress the function horizontally. So, the new period becomes
, and the function makes two complete oscillations from 0 to 
You can see the two functions in the image below. You can also see that the two graphs cross 4 times, meaning that the equation
has four solutions.
Answer:
The mode would decrease by 3
Step-by-step explanation:
The mode right now is 6, as there are 4 6's. However, closely behind it is 3, with 3 3's. If we replaced a 6 with a 3, we would have 4 3's and 3 6's. Find the difference between 6 and 3 and you answer should be 3.