3 years ago

Write a single transformation that maps ABC onto A' B' C'

Mathematics

1 answer:

blsea [12.9K]3 years ago

4 0

9514 1404 393

Answer:

Either of ...

(x, y) ⇒ (-x, -y)
Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

1. reflection across the origin: (x, y) ⇒ (-x,-y)

2. rotation 180° (either direction) about the origin.

Take your pick.

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In a survey, 150 people were asked if they smoke and whether or not they exercise regularly (more than twice a week). The result

s2008m [1.1K]

(a) 28%

(b) 24%

When calculating the total amount of people it come out to 150.

According to the table 42 people smoke. 42/150 is 28%

According to the table 36 people exercise regularly. 36/150 is 24%

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2 years ago

A recipe calls for 1 cup of milk for every 4 cups of flour. Write the linear equation that describes this relationship.

yan [13]

The correct answer is y=4x

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2 years ago

Find the derivative of the function f(x) = (x3 - 2x + 1)(x – 3) using the product rule.

julsineya [31]

Answer:

Step-by-step explanation:

Hello, first, let's use the product rule.

Derivative of uv is u'v + u v', so it gives:

$f(x)=(x^3-2x+1)(x-3)=u(x) \cdot v(x)\\\\f'(x)=u'(x)v(x)+u(x)v'(x)\\\\ \text{ **** } u(x)=x^3-2x+1 \ \ \ so \ \ \ u'(x)=3x^2-2\\\\\text{ **** } v(x)=x-3 \ \ \ so \ \ \ v'(x)=1\\\\f'(x)=(3x^2-2)(x-3)+(x^3-2x+1)(1)\\\\f'(x)=3x^3-9x^2-2x+6 + x^3-2x+1\\\\\boxed{f'(x)=4x^3-9x^2-4x+7}$