All categories

2 years ago

Find f\left(x+3\right)f(x+3) given the function: f\left(x\right)=-5x+3f(x)=−5x+3

Mathematics

1 answer:

Serjik [45]2 years ago

7 0

Answer:

-5x-12

Step-by-step explanation:

Given f(x) = -5x+3, to get f(x+3), we are going to replace x in f(x) with x+3 as shown;

f(x) = -5x+3

f(x+3) = -5(x+3)+3

f(x+3) = -5x-15+3

f(x+3) = -5x-12

Hence the function f(x+3) is -5x-12

You might be interested in

Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

case D) The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

3 years ago

Read 2 more answers

2 45 is a common multiple of 5 and 9 true or false

Strike441 [17]

Answer:

False

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Charlie does the following problem:

Alika [10]

The answer is B. He is incorrect because he should have only 5 factors of 3.

7 0

2 years ago

Read 2 more answers

35% of the original price of a phone is £78 what was the original price ?

Yakvenalex [24]

Answer:

222.86

Step-by-step explanation:

<h2>in order to solve this question you can create an equation :</h2>

35% * x = 78

where x is the original amount

in order to get x , you have to say :

78/ 35% = x

hence x = 222.8571...

to 2dp = 222.86

4 0

2 years ago

Read 2 more answers

Jacob is a plumber. Due to increased material costs, he puts all his prices up by 7%. He now chargers R320 per hour for her serv

Lorico [155]

Answer:

R290.1

Step-by-step explanation:

Let

x = charge before he put his prices up

New charge = R320

Percentage increase in price = 7%

x + 7% of x = 320

x + 0.07 * x = 320

x + 0.07x = 320

1.07x = 320

x = 320/1.07

x = 299.06542056074

Approximately

x = R290.1

Charge before he put his prices up = R290.1

4 0

2 years ago