A good place to start is to set to y. That would mean we are looking for to be an integer. Clearly, , because if y were greater the part under the radical would be a negative, making the radical an imaginary number, not an integer. Also note that since is a radical, it only outputs values from , which means y is on the closed interval: .
With that, we don't really have to consider y anymore, since we know the interval that is on.
Now, we don't even have to find the x values. Note that only 11 perfect squares lie on the interval , which means there are at most 11 numbers that x can be which make the radical an integer. All of the perfect squares are easily constructed. We can say that if k is an arbitrary integer between 0 and 11 then:
Which is strictly positive so we know for sure that all 11 numbers on the closed interval will yield a valid x that makes the radical an integer.
Answer:
20/7 dollars per hour
Step-by-step explanation:
He pays 10 dollars per 3 1/2 hours. To find the unit rate, we divide the two.
10 / (3 1/2) =
10 / (7/2) =
(10/1) x (2/7) =
20/7
Answer:
We applied distributive, associative and commutative properties to solve the calculus.
Step-by-step explanation:
3c+5(2+c)=<u>3c+5(2)</u>+5c (distributive property)
=3c+<u>5c+5(2) </u> (commutative property)
=<u>(3c+5c)</u>+5(2) (associative property)
=<u>(3+5)c</u>+5(2) (distributive property) by the shape of common factor extraction).
=8c+10 <u>3+5</u> is a simple add and <u>5.2</u> is a simple multiplication)
Answer:V=πr2(To the power of two)h/3(divided by 3)
Step-by-step explanation:
r=radius
h=height
kinda confusing ask any questions i will help!!!
- you find the radius which is half the circle, then you will use 3.14 for pi and do the equation 3.14r then multiply that by itself. Then find the height of the height of the cone and divide that by 3 and multiply that by your answer from 3.14r2.