PLEASE HELP 30 POINTS + BRAINLIESTThe opposite of −3 5/8 is on the side of zero on a number line as −3 5/8. The opposite of 4 2/9 is on the __ side of zero on a number line as 4 2/9.

Answers

Answer 1

Answer: The opposite of a number is the same distance from zero on the number line but in the opposite direction. For example, the opposite of 3 is -3 because 3 and -3 are the same distance from zero but in opposite directions.

Using this definition, we can find the opposite of -3 5/8 by moving the same distance from zero but in the opposite direction. To do this, we can start at -3 5/8 and move 3 5/8 units to the right (since 3 5/8 is the distance from -3 5/8 to zero) to get the opposite of -3 5/8, which is 3 5/8.

Similarly, we can find the opposite of 4 2/9 by moving the same distance from zero but in the opposite direction. To do this, we can start at 4 2/9 and move 4 2/9 units to the left (since 4 2/9 is the distance from 4 2/9 to zero) to get the opposite of 4 2/9, which is -4 2/9.

Therefore, the opposite of −3 5/8 is on the **right** side of zero on a number line as −3 5/8. The opposite of **4 2/9** is on the **left** side of zero on a number line as **4 2/9**.

Answer 2

Answer:

Answer:

Step-by-step explanation:

The opposite of a number is its additive inverse, which means it's the number that, when added to the original number, results in zero. On a number line, the opposite of a number is located symmetrically on the other side of zero.

For the first part of your question:

The opposite of -3 5/8 is 3 5/8, and it is on the same side of zero on a number line as -3 5/8.

For the second part of your question:

The opposite of 4 2/9 is -4 2/9, and it is on the same side of zero on a number line as 4 2/9.

So, in both cases, the opposites are on the same side of zero as the original numbers.

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An initial investment of $60.00 increases in value by 15% each year. Which of the following statements are true? Select all that apply. This function can be represented by the quadratic equation f(x)=0.15(x+60)^2 This situation can be represented by the exponential function f(x)=60 x 1.15^x This function has no x-intercept After 4 years the value of the investment will be $120.00 After 6 years the value of the investment will be $653.00 After 7.86 years the value of the investment will be 3 times the initial value After 8 years the value of the investment will be $184.00

Answers

Given:
initial investment = $60.
increase in value by 15% each year

The function that best represents the above problem is: f(x) = 60 * (1.15)^x

f(4) = 60 * (1.15)⁴ = 60 * 1.75 = 105.00
f(6) = 60 * (1.15)⁶ = 60 * 2.31 = 138.60
f(7.86) = 60 * (1.15)⁷.⁸⁶ = 60 * 3 = 180
After 7.86 years the value of the investment will be 3 times the initial value
f(8) = 60 * (1.15)⁸ = 60 * 3.06 = 183.60
After 8 years the value of the investment will be $184.00

a customer wants to tip 15% on a restaurant bill that is $35.what will be th amount of tip?what is the total bill?

Answers

the tip is $5.25 hope i helped

Given the arithmetic sequence an = −4 + 4(n − 1), what is the domain for n? (1 point)

Answers

Answer:

The correct answer is C. All integers where n ≥ 1

Final answer:

The domain for n in the given arithmetic sequence is the set of positive integers.

Explanation:

The domain of the arithmetic sequence an = −4 + 4(n − 1) is the set of all possible values for n. In this case, since n represents the position in the sequence, it can only take on positive integer values starting from 1. Therefore, the domain for n is the set of all positive integers: {1, 2, 3, 4, ...}.