Answer:
2greater then or equal to x 5 greater then or equal to
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get


The required equation of the quadratic function is
where, a is a constant.
Putting a=1, we get

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Therefore, the required quadratic function is
.
Answer:
Store A and it would cost $32.40 (answer choice A)
Step-by-step explanation:
Let's start by studying how much she would pay for a single balloon on each store:
In store A: (5 balloons for $6) then per each balloon: $6/5 = $1.2 per balloon.
In store BA: (13 balloons for $16.25) then per each balloon: $16.25/13 = $1.25 per balloon.
This shows us that the better price is in store A if she wants to pay as little as possible. Now, at that price, if she wants to buy 27 balloons, she will be paying (27 times $1.2): 27 * $1.2 = $32.40
Given that Allison’s dog is 6 pounds more than 5 times the weight of Gail’s dog, it is important to know the following:
1. The word "more" indicates an Addition.
2. The word "times" indicates Multiplication.
Knowing this, you can write the following expression to represent "5 times the weight of Gail’s dog", where "g" is the weight of Gail’s dog:

Therefore, you can determine that the weight of Allison's dog (in pounds) is the sum of 6 pounds and 5 times the weight of Gail's dog (in pounds). Then, you can represent this with this algebraic expression:

Hence, the answer is:
Answer:
y = 2x - 1.
Step-by-step explanation:
The slope = (7-3)/(4-2)
= 4/2
= 2.
y - y1 = m(x - x1)
Here m = 2 , x1 = 2 and y1 = 3. So we have:
y - 3 = 2(x - 2)
y = 2x - 4 + 3
y = 2x - 1.
We have used the point (2, 3) to find the equation but we could have used (4, 7). We would have got the same answer.