Answer:
The squared form is not a correct form of the quadratic function.
Step-by-step explanation:
Given some forms of quadratic equation. we have to choose the form which is not correct of the quadratic equation.
As the general form and the standard form of quadratic equation is
where a,b and c are constant.
Also, the vertex form is
where (a,b) is vertex.
Only the three forms of quadratic equation exist. No other form like squared form exist.
Hence, the squared form is not a correct form of the quadratic function.
Answer:
-4, 2, 3
Step-by-step explanation:
Centre: (-4,2)
Radius: 3
(x - h)² + (y - k)² = r²
(x - -4)² + (y - 2)² = 3²
(x + 4)² + (y - 2)² = 9
Answer:
There are many examples for the first request, but none for the second.
Step-by-step explanation:
a) There is a theorem which states that the sum of two convergent sequences is convergent, so any pair of convergent sequences (xn), (yn) will work (xn=1/n, yn=2/n, xn+yn=3/n. All of these converge to zero)
If you meant (xn) and (yn) to be both divergent, we can still find an example. Take (xn)=(n²) and (yn)=(1/n - n²). Then (xn) diverges to +∞ (n² is not bounded above and it is increasing), (yn) diverges to -∞ (1/n -n² is not bounded below, and this sequence is decreasing), but (xn+yn)=(1/n) converges to zero.
b) This is impossible. Suppose that (xn) converges and (xn+ýn) converges. Then (-xn) converges (scalar multiples of a convvergent sequence are convergent). Now, since sums of convergent sequences are convergent, (xn+yn+(-xn))=(yn) is a convergent sequence. Therefore, (yn) is not divergent and the example does not exist.
Answer:
Vincent will be able to buy the sneakers, while David will not be able too.
Step-by-step explanation:
I believe this is true because for David,
6% of 86$ is 5.16$
so 86 + sales tax (which is 5.16) = 91.16$
David only has 90$ so he can't afford the sneakers. They are 1.16$ over his budget.
While for Vincent,
9% of 86$ is 7.74$
so 86 + sales tax (which in this case is 7.74) = 93.74
Vincent has 95$ to spend so he can afford the shoes.
I am not exactly sure if all calculations are correct, but I hope this helps! :)
