Bus fair is $1.75. Purchase a monthly coupon book for $22, fair is reduced to $0.75. Determine the number of times in a month th
1 answer:
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Answer:
Step-by-step explanation:
Here are some rules you need to simplify this expression:
Distribute exponents: When you raise an exponent to another exponent, you multiply the exponents together. This includes exponents that are fractions.
Negative exponent rule: When an exponent is negative, you can make it positive by making the base a fraction. When the number is apart of a bigger fraction, you can move it to the other side (top/bottom). , and to help with this question:
.
Multiplying exponents with same base: When exponential numbers have the same base, you can combine them by adding their exponents together.
Dividing exponents with same base: When exponential numbers have the same base, you can combine them by subtracting the exponents.
Fractional exponents as a radical: When a number has an exponent that is a fraction, the numerator can remain the exponent, and the denominator becomes the index (example, index here ∛ is 3).
Distribute exponent
Simplify each exponent by multiplying
Negative exponent rule
Combine the like terms in the numerator with the base "q"
Rearranged for you to see the like terms
Multiplying exponents with same base
2 + 1/3 = 7/3
Fractional exponents as radical form
Simplified cubes. Wrote brackets to lessen confusion. Notice the radical of a variable can't be simplified.
Multiply 4 and 3
Dividing exponents with same base
Subtract the exponent of 'p'
Negative exponent rule
Final answer
Here is a version in pen if the steps are hard to see.
Answers:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
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Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is.
Algebraically, the reflection rule used can be written as
Applying this rule to the three given points will mean....
- Point A = (-2, 3) becomes A ' = (-2, -3)
- Point B = (0, 3) becomes B ' = (0, -3)
- Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below.
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections.
