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3 years ago

Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.

Mathematics

1 answer:

Anni [7]3 years ago

5 0

9514 1404 393

Answer:

g(x) = 7x -1

Step-by-step explanation:

The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.

g(x) = f(x) -4

g(x) = 7x +3 -4

g(x) = 7x -1

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The formula for converting a Celsius temperature to a Fahrenheit temperature is: F = C × 9⁄5 + 32 If C = 100 degrees, what is th

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F = 1.8C + 32
F = 1.8(100) + 32
F = 180 + 32
F = 212 degrees

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3 years ago

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 $-2$

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3 years ago

Read 2 more answers

Fracciones equivalente 1/4

stealth61 [152]

2/4 esa es una ojalá y pude contestar a tiempo

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3 years ago

A survey in one middle school showed that 3 out of 5 students

Anestetic [448]

Take 3/5 of 485 you got it

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3 years ago

17. What is the area of the figure below?

Sidana [21]

If length of rectangle is 8 cm, breadth is 4 cm, side of square is 3 cm, base of triangle is 3 cm, then the area of figure will be 48.5 $cm^{2}$ .

Given that length of rectangle is 8 cm, Breadth of rectangle is 4 cm,side of square is 3 cm,base of right angled triangle is 3 cm,height of triangle is 5 cm.

Area of figure=Area of rectangle+Area of square+Area of triangle

Area of rectangle=length*breadth

Area of square=Side*Side

Area of triangle=1/2 *Base*Height

Area of figure=8*4+3*3+1/2 *3*5

=32+9+1/2 *15

=41+15/2

=(82+15)/2

=97/2

=48.5 $cm^{2}$

Hence if length of rectangle is 8 cm, breadth is 4 cm, side of square is 3 cm, base of triangle is 3 cm, then the area of figure will be 48.5 $cm^{2}$ .

Learn more about area at brainly.com/question/25292087

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1 year ago