There are two ways to do this.
The first is you plug in the x-value from the point in the table and see if that gives you the y-value from the same point.
For example, your first point is (5,49), so plug in x=5:
y = -5(5)+2 = -25+2 = -23
Since that's not the y-value in (5,49), then (5,49) is not a solution for the equation.
The other option is you plug in both the x-value and the y-value to see if you get a true statement. (A solution will make the equaiton a true statement.)
For example, the first point is (5,49), so you'd plug in x=5 and y=49:
49 = -5(5)+2
49 = -25 + 2
49 = -23
Since that's not true, (5,49) is not a solution.
You'll notice you're basically doing the same thing, it's just whether you plug in one value or both and that's your choice.
46.085 to the nearest hundredth is 46.09 hope it helped ;)
The answer you chose in the photo is correct !!
The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following
perimeter and area of the trapezium.
<h3>How can the area and perimeter of the trapezium be found?</h3>
The perimeter of a trapezoid is given as follows;
Perimeter = The sum of the lengths of the sides
Which gives;
Perimeter = 6 + 7 + 6.5 + 9.5 = 29
The perimeter of the trapezoid =<u> 29 cm</u>
The area of the trapezoid is given as follows;

Which gives;

The area of the trapezoid = 49.5 cm²
Learn more about the area and perimeter of geometric shapes here:
brainly.com/question/359059
brainly.com/question/11461461
Answer:
The probability that at least two homeowners will set their switches to the same code is 100%.
Step-by-step explanation:
Consider the provided information.
The total number of code can be set with 0 or 1 is:
2×2×2×2×2×2×2=128
There are 128 different codes.
The probability that code is unique is 1/128
Now, the probability that all codes are unique is:
![[\frac{1}{128}]^{150}](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B128%7D%5D%5E%7B150%7D)
Hence, the probability that all the codes are not unique is:
![1-[\frac{1}{128}]^{150} \approx 1](https://tex.z-dn.net/?f=1-%5B%5Cfrac%7B1%7D%7B128%7D%5D%5E%7B150%7D%20%5Capprox%201)
Because the value of
is very small
As they can set 128 different codes and there are 150 homes. So, at least two homeowners will set their switches to the same code is 100%.
Hence, the probability that at least two homeowners will set their switches to the same code is 100%.