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.
No, 2750 is a sadly unreasonable estimate. 917 is almost 1,000 . 33 times as much is around 30,000 . 2,750 is less than 3,000 .
Step-by-step explanation:
so it will be 3,0261
Answer:
There is no way to determine who drew this, unless there is a picture of their drawings.
It will though be easy to determine.
Think of the letter T turned upside down, the angle the vertical line makes with the horizontal line is 90 degrees. Bending the vertical line to the right hand side, the angle on the left hand side is above 90 degrees, and the one on the right hand side is below 90.
And a triangle with a 90 degrees angle is called right angled.
Drew = -3w + 8
Jan = -4w + 10
Since we are talkimg about one week, plug in 1 for w
Drew = -3(1) + 8
= $5
Jan = -4(1) + 10
= $6