Translate the phrase into an algebraic expression. The difference of w and 2

Whatistheslopeofthegraphofy

BaLLatris [955]

Answer:

0

Step-by-step explanation:

hi

6 0

3 years ago

Identify a transformation of the function f(x) = x by observing the equation of the function g(x) = x − 90.

ycow [4]

The transformation of a function may involve any change. The transformation of the function is Right shift by 90 units.

<h3>How does the transformation of a function happen?</h3>

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: $y = k \times f(x)$

Horizontal stretch by a factor k: $y = f\left(\dfrac{x}{k}\right)$

Since the function is transformed from f(x)=x to g(x)=x-90, therefore, the transformation of the function is Right shift by 90 units.

Learn more about Transforming functions:

brainly.com/question/17006186

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5 0

2 years ago

The radius of the circle is increasing at a rate of 2 meters per minute and the sides of the square are increasing at a rate of

Lunna [17]

Answer:

Change in area=24 $\pi$ -48

Step-by-step explanation:

Let s will be the side of square and r will be the radius of circle.

Then two given conditions are

1)dr/dt=2 m/s

2)ds/dt=1 m/s

Area enclosed=(Area of square)-(Area of circle)

Area of square= $s^{2}$

Area of circle= $\pi r^{2}$

Area enclosed= $(\pi r^{2})-s^{2}$

dA/dt=2 $\pi$ r(dr/dt)-2s(ds/dt)

At s=24,and r=6

dA/dt=2( $\pi$ )(6)(2)-2(24)(1)

Change in area=24 $\pi$ -48

6 0

2 years ago

Find the equation of the line that contains the point (4, - 2) and is perpendicular to the line y = - 2x + 5.

Licemer1 [7]

<h3>Answer:</h3>

y=1/2x

<h3>Solution:</h3>

The slopes of perpendicular lines are opposite reciprocals of each other.
The simplest way to determine a number's reciprocal is to flip it over, like so:
$-2 ~ - > -\displaystyle\frac{1}{2}$
Now, change the sign:
$\displaystyle\frac{1}{2}$
So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
Now, let's find the line's equation.
First, let's write it in Point-Slope Form:
y-y1=m(x-x1)
y-(-2)=1/2(x-4)
y+2=1/2x-2 (Point slope)
Now, convert to slope-intercept:
y=1/2x+2-2
y=1/2x