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2 years ago

If f(x)=2x and g(x)=x−3, then find f(x)·g(x).

Mathematics

1 answer:

Serhud [2]2 years ago

4 0

Answer:

f(x)g(x) = 2x² - 6x

General Formulas and Concepts:

Algebra I

Expand by FOIL-ing (First, Outside, Inside, Last)

Step-by-step explanation:

Step 1: Define

f(x) = 2x

g(x) = x - 3

Step 2: Find f(x)g(x)

Substitute: f(x)g(x) = 2x(x - 3)
Distribute 2x: f(x)g(x) = 2x² - 6x

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Use the algebraic expressions for the length and width of Marlene's living room found in the

krok68 [10]

Answer:

The area of Marlien's living room is 420 square ft

Step-by-step explanation:

Before calculating the real dimensions of Marlien's living room, we must find the value of x.

Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.

The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:

$2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2$

Simplifying:

-10 + x - 2 = 2

x = 10 + 2 + 2

x = 14

Since x=14 feet, the dimensions of Marlien's living room are

width=x=14 feet

length=2x+2=30 feet

Thus the area is:

A = 14*30 = 420 square ft

The area of Marlien's living room is 420 square ft

8 0

2 years ago

What is an equation of the line with slope 3/2 and y-intercept −1?

Yuliya22 [10]

Answer:

Aloha,

Hope you are having a wonderful day, y=1.5x-1 is your answer. Hope this helps.

noʻu ka hauʻoli

5 0

2 years ago

Read 2 more answers

Determine if the following scale factor would be an enlargement or reduction. scale factor: 2.5

Sati [7]

Answer: Enlargement

Step-by-step explanation: If the number is larger than 1 it is an enlargement if it is smaller it is a reduction.

5 0

2 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=567x%5E%7B2%7D%20%5Calpha%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%262%263%5C%5C4%265%266%5C%

Pie

Answer:

699999993632^xa

Step-by-step explanation:

Just use M a t h w a y A l g e r b a

It may be wrong Sorry if it is

3 0

2 years ago

Suppose that 4 fair coins are tossed. Let Equals The event that exactly 2 coins show tails and Equal The event that at least 2 c

faust18 [17]

Answer:

a) P ( E | F ) = 0.54545

b) P ( E | F' ) = 0

Step-by-step explanation:

Given:

- 4 Coins are tossed

- Event E exactly 2 coins shows tail

- Event F at-least two coins show tail

Find:

- Find P ( E | F )

- Find P ( E | F prime )

Solution:

- The probability of head H and tail T = 0.5, and all events are independent

So,

P ( Exactly 2 T ) = ( TTHH ) + ( THHT ) + ( THTH ) + ( HTTH ) + ( HHTT) + ( HTHT) = 6*(1/2)^4 = 0.375

P ( At-least 2 T ) = P ( Exactly 2 T ) + P ( Exactly 3 T ) + P ( Exactly 4 T) = 0.375 + ( HTTT) + (THTT) + (TTHT) + (TTTH) + ( TTTT)

= 0.375 + 5*(1/2)^4 = 0.375 + 0.3125 = 0.6875

- The probabilities for each events are:

P ( E ) = 0.375

P ( F ) = 0.6875

- The Probability to get exactly two tails given that at-least 2 tails were achieved:

P ( E | F ) = P ( E & F ) / P ( F )

P ( E | F ) = 0.375 / 0.6875

P ( E | F ) = 0.54545

- The Probability to get exactly two tails given that less than 2 tails were achieved:

P ( E | F' ) = P ( E & F' ) / P ( F )

P ( E | F' ) = 0 / 0.6875

P ( E | F' ) = 0

6 0

2 years ago