A: What are the solutions to the quadratic equation?
1 answer:
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Answer:
D. Up
Step-by-step explanation:
When a parabola has the form , It is vertical (opens up or down).
Because the variable "x" is squared.
If "a" is positive, then the parabola opens up, but if it is negative, then the parabola opens down.
In this case you have the quadratic function:
Which can be rewritten as:
Therefore, it is vertical, because it has the form:
You can observe that the value of "a" is:
Then, since "a" is positive, the parabola opens up.
Try this:
Given:
![\left \{ {{x-y=1} \ [1] \atop {x+y=3} \ [2]} \right.](https://tex.z-dn.net/?f=%20%5Cleft%20%5C%7B%20%7B%7Bx-y%3D1%7D%20%5C%20%5B1%5D%20%5Catop%20%7Bx%2By%3D3%7D%20%5C%20%5B2%5D%7D%20%5Cright.%20)
1) [1]+[2]: 2x=2 ⇒ x=2
2) [2]-[1]: 2y=1 ⇒ y=1.
3) answer: (2;1)
Given:
1) [1]+[2]: 2x=2 ⇒ x=2
2) [2]-[1]: 2y=1 ⇒ y=1.
3) answer: (2;1)
Answer:
The forecast for November is 235 if August's forecast was 145.
Step-by-step explanation:
The formula for calculating forecast using exponential smoothing is:
Where Ft = New month forecast
Ft-1 = Previous month forecast
At-1 = Previous month actual value
α = smoothing constant
We are given F₈ = 145 (forecast for August), A₈ = 200 (Actual Value for August), α = 2, and we need to compute the forecast for November. So, We will first calculate the forecast for September then October and then November, step-by-step.
So, forecast for September is:
F₉ = F₈ + α (A₈ - F₈)
= 145 + 2*(200-145)
= 145 + 2*55
F₉ = 255
Then, forecast for October is:
F₁₀ = F₉ + α (A₉ - F₉)
= 255 + 2*(220-255)
= 255 + 2*(-35)
F₁₀ = 185
The forecast for November is:
F₁₁ = F₁₀ + α (A₁₀ - F₁₀)
= 185 + 2*(210 - 185)
F₁₁ = 235