Answer:
S1) False. 2³ is 2 × 2 × 2 which is <u>8, not 6.</u>
S2) False. ( 2x / 3y ^ (2) ) ^ (3) =
( (2x) ^ (3) / ( (3y) ^ (2) ) ^ (3) ) = (2)³ × (x)³ / (3)³ × (y²)³ = 8 × x³ / 27 × y<u>⁶</u> = 8x³ / 27y<u>⁶</u><u>.</u>
<u>i.e </u><u>(</u><u>a^</u><u>b</u><u>)</u><u>^</u><u>c</u><u> </u><u>=</u><u> </u><u>a^</u><u>(</u><u>b </u><u>×</u><u> </u><u>c)</u><u>.</u>
S3) True.
S4) True.
S5) False. x^(-3) = 1 / x^(3) ≠ 1 / 3x
Answer:
$162
Step-by-step explanation:
12% of $75 is $9 Therefore,
$9 x 18 = 162 ( 18 being the years )
Hope this helps!!!
-Conrad
256 is the perfect square of 16 it would be 66 square root a2b
First you need to figure out the cost of the skateboard after the discount but before the sales tax. By doing 100%-12% you figure out how much of the original cost you are paying 88%. Then you multiply 79.99(original cost) and 88%(how much you pay) which gets you 70.39. Then you figure out the sales tax by multiplying 70.39 by 6.75% which gives you 4.75(the sales tax). And the last thing you need to do is add the cost before tax(70.39) and the tax(4.75).
The skateboard costs $75.14
Answer:
A. (1, -5), (2, -1), (-1, 7)
Step-by-step explanation:
Reflecting a function over the x-axis:
When a function is reflected over the x-axis, the x-value stays the same, while y changes the signal, so the transformation rule is:

To find the range:
We apply the transformation to the points in the domain. Thus:



Thus the correct answer is given by option a.