Answer:
17,810.58
Step-by-step explanation:
A = $ 17,810.58
A = P + I where
P (principal) = $ 10,000.00
I (interest) = $ 7,810.58
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

![[\because (a-b)^2=a^2-2ab+b^2]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2%5D)
Therefore, the required quadratic function is
.
Answer:
reflection
transition left / right are the location of the vertex
There are 11 trains containing giraffes and 7 trains containing rabbits.
<h3>
Equation</h3>
An equation is an expression used to show the relationship between two or more numbers and variables.
Let x represent the number of train with giraffes and y represent the number of train with rabbits.
Hence:
25x = 40y
25x - 40y = 0 (1)
Also:
25x + 40y > 500 (2)
From both equations:
A possible solution is x = 11, y = 7
There are 11 trains containing giraffes and 7 trains containing rabbits.
Find out more on Equation at: brainly.com/question/22688504
Answer:
B and F
Step-by-step explanation:
Given
x² + 4x + 4 = 12 ( subtract 4 from both sides )
x² + 4x = 8
Using the method of completing the square to solve for x
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 8 + 4, that is
(x + 2)² = 12 ( take the square root of both sides )
x + 2 = ±
( subtract 2 from both sides )
x = ±
- 2
= ± 2
- 2
Hence
x = 2
- 2 → B
x = - 2
- 2 → F