Answer:
<em>The coordinates of the vertex are (-1,-4).</em>
Step-by-step explanation:
<u>Equation of the Quadratic Function
</u>
The vertex form of the quadratic function has the following equation:
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
We are given the function:
We must transform the equation above by completing squares:
The first two terms can be completed to be the square of a binomial. Recall the identity:
Thus if we add and subtract 1:
Operating:
The trinomial in parentheses is a perfect square:
Adding 4:
Comparing with the vertex form of the quadratic function, we have the vertex (-1,-4).
The coordinates of the vertex are (-1,-4).
You would plug in the y=9 into the first equation and then have the expression 9=9x-9
. After going through the first steps of solving an expression you would get 18=9x. X=2. Then you would plug in the x value into the first expression to get y=9.
The question you asked uses the concept of division, something that a bit tricky at first but gets easier as you master it!
So first let’s write and equation for your problem:
Let x = the amount of calories she burns each hour.
So we already know that Vivi was drumming for 3 hours, that she burned 756 calories, and that she burned the same amount of calories each hour.
Since she burned 756 calories in total, we know that the equation will have to equal 756:
= 756
We also know that the answer will be 3(hours) times x(the amount of calories), so now we just plug it into the equation:
3x = 756
To find what ‘x’ equals we have to divide both side by 3:
3x/3 = 756/3
Now all we have to do is simplify and you have your answer!
x = 252
And there you have it, Vivi burned 25 calories per hour!
Hope this helps! :)
as per as I can think the answet will be 38
please give me brainliest if my answer is correct
Answer:
the fist one is equal to 20
