Alright, so we can start by writing it out by their signs.
Using PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction) and noting that the inequality comes last, we can write it as the sum of (addition), then three times (multiplication) a number and 4 (ties in with the sum of, making it also addition).Note that we know that "a number and 4" means addition because it doesn't state to do anything with it, and we don't know what "the sum of" referred to with numbers, so they match up. Therefore, we have multiplication (3 times a number=3 * number), then addition (3 times a number, or 3 * number, added to 4, or 3*number+4), and we can do the inequality. Between -8 and 10 means that it is greater than -8 and less than 10, as 10 is the larger number, writing it out as -8< (less than) 3*number+4 < (3*number+4 is less than 10, so we have another less than sign) 10. Subtracting 4 from everything using the subtraction property of equality, we get -12<3*number<6. Next, we can divide everything by 3 to separate the number and get -4<number<2.
Feel free to ask further questions!
Step-by-step explanation:
Flipping a tails and rolling at least a tail are 2 independent events: they don't affect each other. So, to get the probability of both happening, we just need to multiply the probability of one by the probability of the other. he probability of rolling at least a 2 is 5/6.
➜︎Question
Describe what you notice when you create the inverse ratio.
- How do you describe it?
- What do you notice?
- How do you create it?
➜︎Answer
A function composed with its inverse function yields the original starting value. Think of them as "undoing" one another and leaving you right where you started. Basically speaking, the process of finding an inverse is simply the swapping of the x and y coordinates.
- You can describe a inverse ratio by saying how it works
- You can notice the difference
- You could possibly know
We have to calculate the length of a side ( x ) of the rectangle. We know the perimeter of the rectangle: P = 24 ft. Formula for the perimeter of the rectangle is: P = 2 L + 2 W. The width W = 4 ft. So: 24 = 2 * x + 2 * 4; 24 = 2 * x + 8; 2 * x = 24 - 8; 2 * x = 16; x = 16 : 2; x = 8. Answer: The length of side of a rectangle is 8 feet<span>.</span>
