<h3>
Answer: 5</h3>
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Explanation:
Vertex form is
y = a(x-h)^2 + k
We are told the vertex is (3,-2), so we know (h,k) = (3,-2)
y = a(x-h)^2 + k will update to y = a(x-3)^2 - 2
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Then we also know that (x,y) = (4,3) is a point on the parabola. Plug those x and y values into the equation and solve for 'a'
y = a(x-3)^2 - 2
3 = a(4-3)^2 - 2
3 = a(1)^2 - 2
3 = a - 2
3+2 = a
5 = a
a = 5
This is the coefficient of the x^2 term since the standard form is y = ax^2+bx+c.
Answer:
x^7 + 9x^2 + x + 8
Step-by-step explanation:
Combine like terms
Answer:

Step-by-step explanation:
The radical
can be simplified by breaking it down into factors and removing the perfect squares from inside the radical.

25 is a perfect square and is 5 outside the radical.
is a perfect square and is x outside the radical.
is a perfect square and is
outside the radical.
Answer:
25% of students voted for the athlete
Step-by-step explanation:
First you need to know how many students are in total. In this case there is 60, 15+45
Then you write it as a fraction

because 15 voted for athlete out of the 60 students.
After this you need to divide 15÷60 which is . 25 then you transform that number into a percent which is 25%