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2 years ago

Which graph represents -

Mathematics

1 answer:

11Alexandr11 [23.1K]2 years ago

5 0

Answer:

3rd

Step-by-step explanation:

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Find the minimum, maximum, and range for the given set of data.

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A cellular phone company monitors monthly phone usage. The following data represent the monthly phone use in minutes of one part

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(2A) Find f(2x + 4) for f(x) = 1 - x2

Aleksandr-060686 [28]

Answer:

f(2x + 4) = -4x² - 16x - 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients
Expanding (FOIL)

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x²

Step 2: Evaluate

Substitute in x [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
(Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
Combine like terms: f(2x + 4) = -4x² -16x - 15

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2 years ago

An isosceles trapezoid ABCD with height 2 units has all its vertices on the parabola y=a(x+1)(x−5). What is the value of a, if p

horrorfan [7]

Answer:

a = -0.3575

Step-by-step explanation:

The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.

The points A and B are located where

$y=a(x+1)(x-5)=0$

This gives

$x=-1$

$y=5$

Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e

$B_x=A_x+\frac{2}{tan(60)} =-1+\frac{2\sqrt{3} }{3}$