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:
0.9 or .9
Step-by-step explanation:
9 out 10 are shaded
In percentage, 90%
In fraction 9/10
Answer:
If the units in the equation are in feet, it lef5t at a height of 7.4 feet (or meters, etc.).
Step-by-step explanation:
p(x) = - 0.013x2 + 0.02x + 7.4
When x, the time, = 0 [just before it leaves the pitcher's hand]
p(0) = 7.4
Answer:
0
Step-by-step explanation:
The initial value or y-intercept is the output value when the input of a linear function is zero.
