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Anit [1.1K]
3 years ago
8

Look at the system of equations graphed below.

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer: The correct answer to the equation is B.

Hope this helps :)

Not my handwriting sorry if it's sloppy.

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it takes Sarah 50 minutes to walk to her friends house 1 3/4 miles away. What is her walking pace in miles per hour?
RideAnS [48]
50 minutes= 5/6 hr

(1 3/4 miles)/ (5/6 hr)= 2.1 miles/hr

Hope this would help~
3 0
3 years ago
Read 2 more answers
Given f(x) = log(x+1), x >-1 and g(x) = x^2 + 2x, XER find (f•g)(1)​
worty [1.4K]

Answer:

Like terms, functions may be combined by addition, subtraction, multiplication or division.

Example 1. Given f ( x ) = 2x + 1 and g ( x ) = x2

+ 2x – 1 find ( f + g ) ( x ) and

( f + g ) ( 2 )

Solution

Step 1. Find ( f + g ) ( x )

Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;

( f + g ) ( x ) = ( 2x + 1 ) + (x2

+ 2x – 1 )

= 2x + 1 + x2

+ 2x – 1

= x

2

+ 4x

Step 2. Find ( f + g ) ( 2 )

To find the solution for ( f + g ) ( 2 ), evaluate the solution above for 2.

Since ( f + g ) ( x ) = x2

+ 4x then;

( f + g ) ( 2 ) = 22

+ 4(2)

= 4 + 8

= 12

Example 2. Given f ( x ) = 2x – 5 and g ( x ) = 1 – x find ( f – g ) ( x ) and ( f – g ) ( 2 ).

Solution

Step 1. Find ( f – g ) ( x ).

( f – g ) ( x ) = f ( x ) – g ( x )

= ( 2x – 5 ) – ( 1 – x )

= 2x – 5 – 1 + x

= 3x – 6

Step 2. Find ( f – g ) ( 2 ).

( f – g ) ( x ) = 3x – 6

( f – g ) ( 2 ) = 3 (2) – 6

= 6 – 6

= 0

Example 3. Given f ( x ) = x2

+ 1 and g ( x ) = x – 4 , find ( f g ) ( x ) and ( f g ) ( 3 ).

Solution

Step 1. Solve for ( f g ) ( x ).

Since ( f g ) ( x ) = f ( x ) * g ( x ) , then

= (x2

+ 1 ) ( x – 4 )

= x

3

– 4 x2

+ x – 4 .

Step 2. Find ( f g ) ( 3 ).

Since ( f g ) ( x ) = x3

– 4 x2

+ x – 4, then

( f g ) ( 3 ) = (3)3

– 4 (3)2

+ (3) – 4

= 27 – 36 + 3 – 4

= -10

Example 4. Given f ( x ) = x + 1 and g ( x ) = x – 1 , find ( x ) and ( 3 ). f

g

⎛ ⎞ ⎜

⎝ ⎠

f

g

⎛ ⎞ ⎜

⎝ ⎠ ⎟ ⎟

Solution

Step 1. Solve for ( x ). f

g

⎛

⎜

⎝ ⎠

⎞

⎟

Since ( x ) = , then ( )

( )

f x

g x

f

g

⎛

⎜

⎝ ⎠

⎞

⎟

= ; x ≠ 1 1

1

x

x

+

−

Step 2 Find . ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

Since = , then 1

1

x

x

+

− ( ) f x

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

3 1

3 1

+

− ( ) 3 f

g

⎛ ⎞ ⎜ ⎟ ⎝ ⎠

=

4

2

= 2

Step-by-step explanation:

did this Help?

3 0
2 years ago
A particular geometric sequence has strictly decreasing terms. After the first term, each successive term is calculated by multi
Maksim231197 [3]

Answer:

6 possible integers

Step-by-step explanation:

Given

A decreasing geometric sequence

Ratio = \frac{m}{7}

Required

Determine the possible integer values of m

Assume the first term of the sequence to be positive integer x;

The next sequence will be x *  \frac{m}{7}

The next will be; x *  (\frac{m}{7})^2

The nth term will be x *  (\frac{m}{7})^{n-1}

For each of the successive terms to be less than the previous term;

then \frac{m}{7} must be a proper fraction;

This implies that:

0 < m < 7

<em>Where 7 is the denominator</em>

<em>The sets of </em>0 < m < 7<em> is </em>\{1,2,3,4,5,6\}<em> and their are 6 items in this set</em>

<em>Hence, there are 6 possible integer</em>

3 0
3 years ago
If g(x) = 2(x − 4), find the value of x if g(x) = 20
Natalka [10]
Substitute for x.
g(20)= 2(20-4)
g(20)=32.
x=32.
~god bless you!
4 0
3 years ago
Read 2 more answers
HELLPPP PLSSS<br><br>100÷10+3-100+ (6+ 19)+ 3 × -5 -19+100​
Ksivusya [100]

Answer:

4

Step-by-step explanation:

I used a Calculater

3 0
3 years ago
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