Answer:
The index of a number says how many times to use the number in a multiplication. It is written as a small number to the right and above the base number. In this example: 82 = 8 × 8 = 64. The plural of index is indices. (Other names for index are exponent or power.)
Step-by-step explanation:
Answer:
$681.60
Step-by-step explanation:
<u><em>Given:</em></u>
<em>During a sale, a store offered a 20% discount on a TV that originally sold for $710. After the sale, the discounted price of the TV was marked up by 20%</em>
<u><em>To Find:</em></u>
<em>What was the price of the TV after the markup? Round to the nearest cent.</em>
<u><em>Solution:</em></u>
$710 × (1 + 20%) × (1 - 20%)
$710 × 1.2 × (1-0.2)
$710 × 1.2 × 0.8
($710 × 1.2) × 0.8
852 × 0.8
= $681.60
<u><em>Kavinsky</em></u>
From your equation, you can see that you have a difference of two cubes (aka two cubes being subtracted): 64, which is

, and

.
There is rule for the difference of two cubes:
The difference of two cubes is equal to the difference of the cube roots times a binomial, which is the sum of the squares of the roots plus the product of the roots.
That sounds pretty confusing, but it's much easier to understand when put mathematically. Let's say our two cubes are

and

. The difference of those two cubes is:

In our problem, a = 4 (since

= 64) and b = y (since

. Plug these values into the rule to find the factor of

:

-----
Answer:
Answer:
x = 7.5
Step-by-step explanation:
Since we see that sides AD and DC are equal, as well as sides BE and EC, we can use this information to conclude that the value of 2x-7 is equal to double the value of DE.
2x - 7 = 4(2)
2x - 7 = 8
2x - 7 + 7 = 8 + 7
2x = 15
x = 7.5
The whole school would have 170 students that have a dog