2 years ago

Find f(4) if f(x) = 3x + 1

Mathematics

1 answer:

Alenkasestr [34]2 years ago

4 0

Answer:f(4)=−3x−1 f ( 4 ) = - 3 x - 1.

Step-by-step explanation:ff(4)=−3x−1 f ( 4 ) = - 3 x - 1.

f(4)=−3x−1 f ( 4 ) = - 3 x - 1. Replace the variable x x with 4 4 in the expression. f(4)=−3⋅4−1 f ( 4 ) = - 3 ⋅ 4 - 1. Simplify the result.

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LMN has a larger area

Step-by-step explanation:

Given

RST

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$T = (1,3)$

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Required

Compare both areas

The area of triangle is:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

For RST, we have:

$Area = \frac{1}{2}|5*1 - 2*5 + 2*3 - 1*1 + 1*5 - 5*3|$

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Remove absolute signs

$Area = \frac{1}{2}*10$

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For LMN, we have:

$Area = \frac{1}{2}|x_1y_2 - x_2y_1 + x_2y_3 - x_3y_2 + x_3y_1 - x_1y_3|$

$Area = \frac{1}{2}|0*-4-2*-1+2*-3--2*-4--2*-1-0*-3|$

$Area = \frac{1}{2}|-14|$

Remove absolute signs

$Area = \frac{1}{2}*14$

$Area = 7$

<em>By comparing both areas, we can conclude that LMN has a larger area</em>

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