Answer:
-1/32
Step-by-step explanation:
To evaluate the expression, substitute x = 2 and y = -4. Then use exponent rules to simplify. Review the rules here:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
a. Rounding to the nearest hundredth means that we only have access to numbers with 2 decimal digits. Our number is enclosed between 45.28 and 45.29. Which one is a better approximation? Well, the one who's closer! To tell how "close" two numbers are, just compute the absolute value of their difference:
So, the distance from 45.29 is less than the distance from 45.28, which makes 45-29 the best approximation.
b. Rounding to the nearest integer means that we can't use decimal digits at all. By the same logic of case (a), we have to choose between 27 and 28: we have
Which makes 27 the best approximation
c. Rounding to the nearest tenth means that we can only use one decimal digit. Again, the logic is always the same: the number lies between 0.2 and 0.3, and we use the same test to check which is a better approximation:
Which makes 0.2 the best approximation.
For this case, the first thing you should do is define a variable.
We have then:
x: number of passengers remaining who can board the plane.
We have as data:
1) They can board up to 149 passengers
2) There are 96 passengers currently aboard.
Writing inequality we have:
Answer:
An inequality that can be used to determine how many more people can board is:
Answer: 840 square inches
1. Split the figure into two rectangles.
2. Find x (there are other missing sides, but you do not need to know them).
x = 40 - 10
x = 30
3. Find the area of the two rectangles. Remember: A = lw.
Top rectangle: (10)(30) = 300
Bottom rectangle: (18)(30) = 540
4. Add the rectangles' areas together.
300 + 540 = 840
