1. Regroup terms
x^3 - 6 * 10x^2x-8/ x-3
2. Use product rule
x^3 - 6 * 10x^ 2+1 - 8/ x-3
3. Simplify
x^3 - 6 * 10 x^3 - 8/ x-3
4. Simplify further
x^3 - 60x^3 - 8/ x-3
5. Simplify the last time
-59x^3-8/x-3
A prime number is a number that has only two factors: 1 and itself
For example, the number 7 has two factors: 1,7 This makes 7 a prime number
Since the number has to be greater than 50, we can go to the next whole number; 51
51 has four factors, 1,3,17,51 This is not our prime number
52 is even so obviously it's not prime because you can divide by two
53 has only two factors; 1,53 This means that its prime and the answer is 53 :)
If you have any questions feel free to ask
Answer:
53
Step-by-step explanation:
To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Hope this helps!
Answer:
He must work for 115 hours to save at least $1900.
Step-by-step explanation:
The equation that you'll use is 65+16x=1900, with x being hours. I found the answer by using 65+16(115)=1905, which is the closest number you'll get before starting to use half hours and such.
