Answer:
1. Fill in the box with 1
2. Fill in the box with -2
Step-by-step explanation:
Expression:
Solving (1): Fill in the box to make it a polynomial.
To make it a polynomial, we simply fill in the box with a positive integer (say 1)
Fill in the box with 1
Remove the square brackets
Open bracket
Reorder
The above expression is a polynomial.
This will work for any positive integer filled in the box
Solving (2): Fill in the box to make it not a polynomial.
The powers of a polynomial are greater than or equal to 0.
So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial
Fill in the box with -2
Remove the square brackets
Reorder
Open brackets
Collect Like Terms
Notice that the least power of x is -1.
Hence, this is not a polynomial.
If we look at the rest of the input and output, we also realize that:
output = input + 5
Thus if the input is 'n' then the output is 'n+5'
Hope that helps!
Answer:
Distance is 6.7units to the nearest tenth.
Explanation:
To solve this problem, we the distance formula. And this is given as:
We were given the equation:
y = 2 x + 4
This can also be rewritten as:
y – 2 x – 4 = 0.
Therefore, a = -2, b = 1 and c = -4
Also, we were given the points:
(x, y) = (–4, 11)
Making use of the above formula for distance, we have:
D = 6.7units (to the nearest tenth)
This would be written like this: 5>2n+1<7. Hope this helps.