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Arte-miy333 [17]
3 years ago
13

Hii pls help i’ll give brainliest if you give a correct answer tysm

Mathematics
1 answer:
jeyben [28]3 years ago
8 0
2 1/2 divided by 5/8
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What are the key aspects of the graph of f(x) = x2 - 62,<br> where b is a real number?
8090 [49]

Answer:

The x intercepts are b , - b

The y-intercept is - b²

The vertex is (0 , - b²)

The axis of symmetry of the function is the y-axis

Step-by-step explanation:

* Lets explain the key aspects of the quadratic function

- There are many key aspects in a quadratic graph such as:

# x-intercepts

# y-intercept

# The vertex

# Axis of symmetry

* Lets solve the problem

∵ f(x) = x² - b² is a quadratic function

∵ The general form of the quadratic function is f(x) = Ax² + B(x) + C

   where A , B , C are constant

∴ A = 1 , B = 0 , C = -b²

- To find the x-intercept put f(x) = 0

∵ f(x) = x² - b²

∴ x² - b² = 0 ⇒ add b² for both sides

∴ x² = b² ⇒ take √ for both sides

∴ x = ± b

∴ The x intercepts are b , - b

- To find the y-intercept put x = 0

∵ f(x) = x² - b²

∴ f(0) = 0 - b²

∴ f(0) = - b²

∴ The y-intercept is - b²

- The vertex of the function is (h , k) where h = -B/2A and k = f(h)

∵ A = 1 and B = 0

∴ h = 0/2(1) = 0

∵ k = f(h)

∴ k = f(0) = 0 - b² = - b²

∴ k = - b²

∴ The vertex is (0 , - b²)

- The axis of symmetry of the quadratic function is a vertical line

  passes through the vertex of it and its equation is x = h

∵ h = 0

∴ The equation of the axis of symmetry is x = 0

∵ The equation of the y-axis is x = 0

∴ The axis of symmetry of the function is the y-axis

7 0
3 years ago
Y-5=m(x-6) solve for m
ladessa [460]

5 + -6m + mX,

If you like, I can explain a bit more!

3 0
2 years ago
Read 2 more answers
Dana recorded a temperature drop of 20 and a second temperature drop of 30. What is the total change in temperature
melisa1 [442]

Answer: the answer will be 10

Step-by-step explanation: Because you are subtracting 30-20 since it says what is the total change in the temperature. do you undeerstand now?

4 0
3 years ago
Read 2 more answers
A quarter has a diameter of approximately 24 millimeters. What is the area of the quarter? Approximate Π as 3.14.
Ronch [10]
The answer is 452.16 cubic milimeters
6 0
3 years ago
Apply the distributive to a factor out the greatest common factor 75+20
LenaWriter [7]

Hi!

First, find the GCF of the numbers.

1, 3, 5, 15, 25, 75

1, 2, 4, 5, 10, 20

The greatest common factor that they have is 5.

Now apply the distributive property.

5(15 + 4)

^the answer

Hope this helps! :)

-Peredhel

3 0
3 years ago
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