Given the point (-1,5), what is the image point when it is translated right 4 and down 3?

yulyashka [42]

Answer:

Piecewise functions are those where the behavior of the functions is dependent on the value of x.

For example the absolute value function f(x) = |x| is the same as

f(x) = -x , x<0

= x, 0<=x

To evaluate the value of f(x) = |x|, first determine if x is less than 0, equal to 0 or greater than 0. If x is less than 0, the value of |x| is equal to the negative value of x. In all other cases it is equal to the value of x.

This is the simplest piecewise function. There are other more complex functions where the function can take on more than 2 different behaviors based on the value of x.

Piecewise functions can also be identified from their graph. These have breaks in their graph, and each segment has a different behavior that is dependent on the value of x.

The evaluation of piecewise functions is done in the following way.

First, look at x and determine from the available behaviors which one would be followed for that particular value of x.

Next, we substitute x in that sub-function and determine the value obtained.

This complexity of this process varies with the piecewise function being evaluated. There are many functions which have a graph of infinite pieces.

A piecewise function is a function made up of different parts. More specifically, it’s a function defined over two or more intervals rather than with one simple equation over the domain. It may or may not be a continuous function.

7 0

3 years ago

Slope intercept form 10x-7y=-8

Maslowich

Hello Isaiah! (Cool name)

10x - 7y = -8

We need to use the slope - intercept form y = mx + b to find the slope m.

Thus, the slope for this is m= 10/7

I hope this helps!

4 0

3 years ago

The expression p/x^2 - 5x +6 simplifies to x+4/x-2. Which expression doees p represent?

gladu [14]

We know that
(ad)/(bd)=d/d time a/b=a/b since d's cancel
also
if a/b=c/d in simplest form, then a=c and b=d

we have
p/(x^2-5x+6)=(x+4)/(x-2)
therefor

p/(x^2-5x+6)=d/d times (x+4)/(x-2)
p/(x^2-5x+6)=d(x+4)/d(x-2)

therefor
p=d(x+4) and
x^2-5x+6=d(x-2)

we can solve last one
factor
(x-6)(x+1)=d(x-2)
divide both sides by (x-2)
[(x-6)(x+1)]/(x-2)=d
sub

p=d(x+4)
p=([(x-6)(x+1)]/(x-2))(x+4)
$p= \frac {(x-6)(x+1)(x+4)}{(x-2)}$

7 0

3 years ago

Find the cube roots of 8(cos 216° + i sin 216°).

Tomtit [17]

$z^3=8(\cos216^\circ+i\sin216^\circ)$
$z^3=2^3(\cos(6^3)^\circ+i\sin(6^3)^\circ)$
$\implies z=8^{1/3}\left(\cos\left(\dfrac{216+360k}3\right)^\circ+i\sin\left(\dfrac{216+360k}3\right)^\circ\right)$

where $k=0,1,2$ . So the third roots are

$z=\begin{cases}2(\cos72^\circ+i\sin72^\circ)\\2(\cos192^\circ+i\sin192^\circ)\\2(\cos312^\circ+i\sin312^\circ)\end{cases}$

5 0

3 years ago

g how many square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long? the slope of the roof

Ludmilka [50]

The area of the roof is 1984 sq. ft. 1984 square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long.

Given, the length of the roof is 62 ft long and the width of the roof is 32 ft wide. Therefore, the area of the roof is length * width.

Area of the roof = length of the roof * width of the roof

Area = 62 ft * 32 ft

Area = 1984 sq. ft

Here, also given the slope of the roof is 1:2 which indicates the ratio of rise and run.

Slope of the roof = Rise / Run = 1 / 2

Then, the slope factor is $\frac{\sqrt{\frac{ 1^{2} }{2 ^{2} } }}{12}$ = $\frac{1}{24}$ = 0.04167

To see a similar example:

brainly.com/question/27301581

#SPJ4

The right question is:

How many square feet of roofing is needed for the roof of a building that is 32 ft wide and 62 ft long?

4 0

2 years ago