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STatiana [176]
3 years ago
15

For f(x) = 2x+1 and g(x) = 3x-7, find (f-g)(x)

Mathematics
2 answers:
marissa [1.9K]3 years ago
4 0

Answer:

(f - g)(x) = -x + 8

General Formulas and Concepts:

  • Order of Operations: BPEMDAS

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x + 1

g(x) = 3x - 7

(f - g)(x) = f(x) - g(x)

<u>Step 2: Simplify</u>

  1. Set up:                              (f - g)(x) = (2x + 1) - (3x - 7)
  2. Distribute -1:                     (f - g)(x) = 2x + 1 - 3x + 7
  3. Combine like terms:        (f - g)(x) = -x + 8
DedPeter [7]3 years ago
4 0

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

(f - g)(x) = f(x) - g(x) =

(2x + 1) - (3x - 7) =

2x + 1 - 3x + 7 =

- x + 8

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus ;

(f - g)(x) =  - x + 8

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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Find the area of the shaded region. Round the the nearest tenth.
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Answer:

226.084 sq.m.

Step-by-step explanation:

Radius of circle = 18.6 cm

Area of sector = \frac{\theta}{360^{\circ} }\pi r^2

Area of sector = \frac{123}{360} \times 3.14 \times (18.6)^2

Area of sector = 371.157 m^2

Area of triangle = \frac{1}{2} \times a \times b \times Sin x

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Substitute the values in the formula

Area of triangle = \frac{1}{2} \times 18.6 \times 18.6 \times Sin 123

Area of triangle = 145.073 m^2

So, Area of shaded region = Area of sector - Area of triangle

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Hence the area of the shaded region is 226.084 sq.m.

5 0
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cara played a card game using a deck of 52 cards after she dealt the same number of cards to 4 players she had 24 cards left ov
Dmitriy789 [7]

Answer:

<h2>7</h2>

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3 0
3 years ago
Principal = $47,300 Rate = 3% Time = 4 months What will the total payment plus interest be?
motikmotik

Answer:

Simple Interest (I) =  Principle * Rate * Time

 

so I = PRT

 

P = $47300

R = 3% = 0.03

T = 4months = 0.33years

 

so

Assuming its per year after 4month

 

I = (47300)(0.03)(0.333333)

 

I = 472.999527

 

I = $473

 

Now we'd add the interest(I) to the Principle

 

$47300 + $473 = $47773.00

 

 

Assuming it is per month, after 4months

 

I = PRT

 

I = (47300)(0.03)(4)

 

I = $5676.00

 

Now add the interest to the principle

 

$47300 + $5676 = $52976.00

Step-by-step explanation:

there you go hope this help

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