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ira [324]
3 years ago
9

What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?

Mathematics
1 answer:
podryga [215]3 years ago
5 0
The answer: y= 6(x-7/2)^2-137/2
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My brain is lagging:<​
Lubov Fominskaja [6]

Distance between two points (-3, 4) and (5, -2) is 10 units.

Mid-point of the line segment joining (-1, -5) and (7, 1) is  (3, -2).

Degree of the given polynomial is 7.

6) Distance between two points (x_1, y_1) and (x_2, y_2) is:

\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

So, distance between two points (-3, 4) and (5, -2) is:

=\sqrt{(5-(-3))^2+(-2-4)^2}

=\sqrt{(8)^2+(-6)^2}

=\sqrt{64+36}

=\sqrt{100}

=10

So, option D is correct.

7) Mid-point of the line segment joining (x_1, y_1) and (x_2, y_2) is:

(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})

Mid-point of the line segment joining (-1, -5) and (7, 1) is:

(\frac{-1+7}{2}, \frac{-5+1}{2})

= (\frac{6}{2}, \frac{-4}{2})

= (3, -2)

So, option A is correct.

8) Degree of a polynomial is the highest power of the variable in the polynomial.

f(x)=3x^2-7x^4+9x^7+2x^3

Here, the highest power of the variable is 7.

So, option B is correct.

Learn more about distance formula, mid point formula, and degree of polynomial.

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8 0
2 years ago
Describe what you notice when you create the inverse ratio.
Alexeev081 [22]
➜︎Question
Describe what you notice when you create the inverse ratio.

- How do you describe it?

- What do you notice?

- How do you create it?

➜︎Answer
A function composed with its inverse function yields the original starting value. Think of them as "undoing" one another and leaving you right where you started. Basically speaking, the process of finding an inverse is simply the swapping of the x and y coordinates.

- You can describe a inverse ratio by saying how it works

- You can notice the difference

- You could possibly know
6 0
3 years ago
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