The answer is 119.8245. 49% of $234.95 is 115.1255 (.49 • 234.95 = 115.1255). Subtract $115.1255 from $234.95 to get the answer to get 119.8245 (234.95 – 115.1255 = 119.8245).

6 0

3 years ago

The graph of f(x)=cos(x) is transformed into a new function, g(x) , by stretching it vertically by a factor of 3 and shifting it

tresset_1 [31]

Answer:

g(x) = 3 cos (x+2)

Step-by-step explanation:

To transform functions use the following formula f(x) = a cos b(x -c) + d where:

a stretches the function vertically
b compresses or stretches it horizontally
c shifts the function left or right
d shifts the function up or down

Here a = 3 and c = 2.

So the new function is g(x) = 3 cos (x+2).

5 0

3 years ago

What is the soloution of x^2-1/x^2+5x+4<_0

JulijaS [17]

You have the following inequality given in the problem shown above:

(x^2-1)/(x^2+5x+4)≤0

1. To solve it, you must factor it and then you must make the study of the signs.

2. Once you do the proccedure mentioned above, you obtain the following solutions:

-4<x<-1

-1<x≤1

3. You can graph the inaquality given in the problem, as you can see in the figure attached.

6 0

3 years ago

Which of the following equations represents the perpendicular bisector of WX graphed below?

kotykmax [81]

The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

$\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )= (\frac{-5+5}{2}, \frac{2+(-4)}{2} )=(0, -1).$

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is $\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}$ .

Thus, the slope n of the perpendicular line is $\displaystyle{ \frac{5}{3}$ .

The equation of the line with slope $\displaystyle{ n= \frac{5}{3}$ containing the point M(0, -1) is given by:

$\displaystyle{ y-(-1)=\frac{5}{3}(x-0)$

$\displaystyle{ y+1= \frac{5}{3}x$

$\displaystyle{ 3y+3=5x$

$\displaystyle{ 5x-3y-3=0$

Answer: 5x-3y-3=0

8 0

3 years ago