<h2>
Step-by-step explanation:</h2>
As per the question,
Let a be any positive integer and b = 4.
According to Euclid division lemma , a = 4q + r
where 0 ≤ r < b.
Thus,
r = 0, 1, 2, 3
Since, a is an odd integer, and
The only valid value of r = 1 and 3
So a = 4q + 1 or 4q + 3
<u>Case 1 :-</u> When a = 4q + 1
On squaring both sides, we get
a² = (4q + 1)²
= 16q² + 8q + 1
= 8(2q² + q) + 1
= 8m + 1 , where m = 2q² + q
<u>Case 2 :-</u> when a = 4q + 3
On squaring both sides, we get
a² = (4q + 3)²
= 16q² + 24q + 9
= 8 (2q² + 3q + 1) + 1
= 8m +1, where m = 2q² + 3q +1
Now,
<u>We can see that at every odd values of r, square of a is in the form of 8m +1.</u>
Also we know, a = 4q +1 and 4q +3 are not divisible by 2 means these all numbers are odd numbers.
Hence , it is clear that square of an odd positive is in form of 8m +1
We can't tell from the graph whether the left point of each step is included, or the right point. If the left, this is a graph of
y = 7 + floor(x)
Answer:
$103.6 left
Step-by-step explanation:
First, multiply the amount she earns an hour times how many hours she worked:
9.25 x 14 = 129.5
Then divide the total by 1/5:
129.5 / 5 = 25.9
Then subtract that value from the total:
129.5 - 25.9 = 103.6
$103.6 is your answer
Hope this helps!
Answer:
1`. y = 4x+6
2. y = -6x + 29
3. y= 3x+1
4. y = x -2
5. y = 11.5x+ 3
6. y = -2x -4
Step-by-step explanation:
<span>(2x^5+x^3−3x^4−x+8)−(7x^5+2x^4−12+6x−5x^3+x^2)
= </span>2x^5 − 3x^4 + x^3 −x + 8 − 7x^5 - 2x^4 + 5x^3 − x^2 − 6x + 12
= − 5x^5 − 5x^4 + 6x^3 − x^2 − 7x + 20
hope it helps
