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Simora [160]
4 years ago
13

Consider the quadratic function:

Mathematics
2 answers:
adoni [48]4 years ago
5 0

Answer:

Step-by-step explanation:

hello :

f(x) = x² – 8x – 9 = (x²-8x+16)-16-9  

f(x) = (x-4)²-25  ..... vertex form

the vertex is : (4 ; -25)

Andreyy894 years ago
3 0

f(x) = x^2 - 8x -9\\\\x_0=\frac{8}{2} =4\\\\y_0=4^2-8*4-9=-25\\\\

Vertex: (4;-25)

P.S. Hello from Russia

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Factoring quadratic with a common factor Factor completely 2x^2-18x+36
rodikova [14]

Answer:

2 {x}^{2}  - 18x + 36 \\ 2 {x}^{2}  - 12x - 6x + 36 \\ 2 x(x - 6) - 6(x - 6) \\ (2x - 6)(x - 6)

6 0
3 years ago
a linear function passes through the point (1,5)and (7,23)what are the rate of change and initial value?
Vlada [557]

Answer:

The rate of change = 3

Initial value = 2

Step-by-step explanation:

The linear function has the form ⇒ y = mx + c

Where m is the slope or the rate of change, and c is y-intercept.

Given: A linear function passes through the point (1,5)and (7,23)

So, m = (y₂-y₁)/(x₂-x₁) = (23-5)/(7-1) = 18/6 = 3

So, y = 3x + c

By substitution with the point (1,5)

So, at x = 1 , y = 5

5 = 3*1 + c

c = 5 - 3 = 2

∴ y = 3x + 2

so, the rate of change = 3

And initial value = 2

initial value is the value at which x = 0 which is the y-intercept

4 0
3 years ago
Can someone help solve this please
Ronch [10]

Answer:

X=1

Step-by-step explanation:

isolate the variable by dividing each side by 5

5 0
3 years ago
Use quadratic regression to find the
tigry1 [53]

Given:

The three points are (-7,134), (-3,10) and (5,50).

To find:

The equation of parabola using quadratic regression.

Solution:

The general equation of quadratic regression is

y=ax^2+bx+c ...(i)

The three points are (-7,134), (-3,10) and (5,50).

Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get

y=3x^2+(-1)x+(-2)

y=3x^2-x-2

Therefore, the equation of parabola is y=3x^2-x-2 and the missing values in the given equation are 3, -1 and -20.

5 0
3 years ago
15 points
11Alexandr11 [23.1K]

Answer:

D

Step-by-step explanation:

you distribute 5.6 to the values inside of the perenthesis. 5.6 x 3.17x is 17.725x. don't forget about the x!

5 0
3 years ago
Read 2 more answers
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