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 ![[0,\infty]](https://tex.z-dn.net/?f=%20%5B0%2C%5Cinfty%5D%20)
, which means y is on the closed interval: ![[0,120]](https://tex.z-dn.net/?f=%20%5B0%2C120%5D%20)
.
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:
Expanded, the answer would be 10b + 40
Step-by-step explanation:
Just multiply 8 to 2b and 8
It should be zero solutions since the lines never intersect.
I mean it could also be viewed as if they intersect at every point so I'm sorry if its wrong (the M is slightly above the N so it should be parallel)
Its perpendicular if it only intersected at one point- 1 solution
If it intersects at every point- infinitely many solutions
<em>Hey mate!!!!! yes we can see the picture but what do you want us to do for you??</em>
Answer:
88 cups of batter
Step-by-step explanation:
We are told from the the question: Selena used:
132 pancakes was made from = 44 cups of pancake batter
how many cups of batter will Selena use to make an additional 264 pancakes?
132 pancakes = 44 cups of pancake batter
264 pancakes = ??
Cross Multiply
= 264 × 44/132
= 11616 / 132
= 88 cups of pancake batter.
Therefore, selena would be needing 8( cups of pancake butter to make an additional 264 pancakes.
