Answer:
y = (x + 8)² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
add/subtract (half the coefficient of the x- term )² to x² + 16x
y = x² + 2(8)x + 64 - 64 + 70
= (x + 8)² + 6 ← in vertex form
Answer:
5x^2+22x-12 x cannot be -5, -4, -2
(x+5)(x+4)(x+2)
Step-by-step explanation:
In order to solve this, your denominator must be the same. Let's start by writing out the two different quadratic formulas:
x^2 + 6x + 8 <-- This should factor out to (x+4)(x+2)
x^2 + 7x + 10 <-- This should factor out to (x+5)(x+2)
Now that you have factored out the two quadratics, plug them into the equation.
5x - 3
(x+4)(x+2) (x+5)(x+2)
Now as we know, -2 cannot be x because it will turn the entire equation undefined. Multiple top and bottom with (x+5) on the right side and (x+4) on the left side.
5x (x+5) - 3(x+4)
(x+5)(x+4)(x+2) (x+5)(x+4)(x+2)
Focus on the top. 5x(x+5) will turn out to be 5x^2+25x. 3(x+4) will turn out to be 3x+12. Combine the two equations because now they are equal to each other and do the subtraction:
5x^2+25x - (3x+12) = 5x^2+22x-12 x cannot be -5, -4, -2
(x+5)(x+4)(x+2) (x+5)(x+4)(x+2)
The geometric means between -5 and -125 is; 25
<h3>How to find the geometric mean?</h3>
To find the geometric mean between two numbers, we simply find the square root of the product of the two numbers.
For example, geometric mean between A and B is;
G.M = √(A * B)
Thus, geometric mean between -5 and -125 is;
G.M = √(-5 * -125)
G.M = √625
G.M = 25
There could be other geometric means between this like;
G.M = √(-5 * -45) = 15
Or GM = √(-10 * -40) = 20
Read more about geometric mean at; brainly.com/question/17266157
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Answer:
The answer is 2.4 Miles per hour
Step-by-step explanation:
15.12 divided by 6.3= 2.4 MPH
