Answer:
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
Step-by-step explanation:
2x^3 + 4x^2 + 2x
First factor out the GCF
2x ( x^2 + 2x +1)
Then factor the inside by either using grouping or recognizing that this is a perfect square a^2 + 2ab + b^2 = ( a+b) ^2
2x ( x^2 + 2 * x * 1 + 1^2)
2x ( x+1) ^2
For part a: you just need to find how far the vertex has been moved from the origin, or the point (0,0). As the vertex is at the point (2,-3), it has been translated right 2 horizontally and down 3 vertically.
For part b: you use the info found in part a to create the equation in the form of y=A(x-h)^2+k. In this case, A =1, so you can ignore it. The h value is the horizontal distance the vertex has been moved. Since it has been moved right 2, this part of the equation would be (x-2). I know it seems like it should be plus 2, but values in parentheses come out opposite. For the k value, find the vertical shift, which is down3, or -3.
Now that you have h and k, substitute them back into the equation.
Your final answer for part b is: y=(x-2)^2 -3.
So, I’m not the best at explaining, but I did all the work and hopefully that explains and helped you. But basically all I did was answer them and compared if each equation matched or not.
The answer is A.
Answer: 32 2/19°
Step-by-step explanation:
The decrease in temperature per hour will be calculated thus:
= (52 - 38) / 4¾
= 14°/4¾
= 2 18/19° per hour.
If the temperature continues to drop at the same rate, then the temperature after 2 hours will be:
= 38° - (2 18/19 × 2 hours)
= 38° - 5 17/19°
= 32 2/19°
Therefore, the temperature after 2 hours will be 32 2/19°.