Hello,
Let us choose an element x of the Real Numbers. So x can either be positive or negative. So we have two case to study :
Case 1 : x is positive.
If x is positive, that is, x = 0, 1, 2, 3, ....
then the absolute value gives us the same number : |0| = 0
|1| = 1
|2|= 2
etc.
so the absolute value of x positive equals x : |x| = x
Case 2 : x is negative.
If x is negative, that is, x = - 1, - 2, -3, .....
then the absolue value gives us the opposite value : |-1| = - (-1) = 1
|-2| = -(-2) = 2
|-3| = -(-3) = 3
(Remember the product of two negative sign is a positive signe : -1 * -1 = +1)
And so we can join both cases as a piecewise function, writing :
|x| = [tex]\left \{ {{x=x if x\geq 0 } \atop {x= - x if x<0 }} \right.[/tex]
so x = x if x ≥ 0 and x = - x if x < 0
Finally the answer is : it depend on the function itself. If the function takes both positive and negative value, then the absolute value of the function will be written as a piecewise function. If the function takes only positive or negative value, then it won't be written as a piecewise function.
PLS HELPPPO
Solve for c.
a – b + c = 3
oc= 3- a + b
o c = 3 – a+ b
oc=9– a + b
oc=9-Va+VO
Answer:
c = 9 - a + b
Step-by-step explanation:
root square(a - b + c) = 3
a - b + c = 3^2
a - b + c = 9
solving for c
c= 9 - a + b
make r the subject of the formula t=r/r-w
Answer:
[tex] r = \frac{tw}{(t - 1)} [/tex]
Step-by-step explanation:
[tex]t = \frac{r}{(r - w)} \\ t(r - w) = r \\ tr - tw = r \\ tr - r = tw \\ r(t - 1) = tw \\ \frac{r(t - 1)}{(t - 1)} = \frac{tw}{(t - 1)} \\ r = \frac{tw}{(t - 1)} [/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs $78. A season ski pass costs $450. The skier would have to rent skis with either pass for $25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily passes? The skier would have to go skiing ______
days. (Type a whole number.)
Answer:
6
Step-by-step explanation:
not sure but it hope that helps
im much dum and i need help plz. -_-
Katie ran 400 m at a speed of 6 m/s at the track meet. How long in seconds) did it take
Katie to run?
Answer:
It takes Katie 66 2/3 seconds to run 400m. Min conversion: 1 min and 6 2/3 secs
Step-by-step explanation:
Can someone help, I got the 1 part but I dunno what this other part is..
5/6=7n+9/9 (solve for n)
Answer another question I found online. Or your not big brain.
Answer:
You returned 5 shirt.
Step-by-step explanation:
$30.60 ÷ $6.12 = 5
Answer:
5 shirts
Equation:
-$30.60 / -$6.12 = 5
So 5 would be your answer! :)
the product of a number v and 15
product means the multiplication of
so 15 x v or 15v
Graph the equations below:
Y+4=-3(x+2) how would you solve it
Answer: An equation: d = 40r. 3. A tabulation of values. 4. A graph showing the relationship between time and distance. We have already used word sentences and equations to describe such relationships; in this chapter, we will deal with tabular and graphical representations.
Step-by-step explanation:
Hope this helps!
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade?
Answer:
4/3 lemons
Step-by-step explanation:
For 16 lemons per 12 cups, simplify the ratio to 4 lemons per 3 cups.
The required rate of lemon per cup of lemonade is 1.34 lemons per cup.
Given that,
For Allison's lemonade recipe, 16 lemons are required to make 12 cups of lemonade. At what rate are lemons being used in lemons per cup of lemonade to be determined.
The rate of change is defined as the change in value with the rest of the time is called the rate of change.
What is the Ratio?The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Since
Let the rate of lemon per cup of lemonade is x,
Total lemon = 16
To a cup of lemonade = 12
Rate of lemon per cup of lemonade
x = 16/12
x = 1.34
Thus, the required rate of lemon per cup of lemonade is 1.34 lemons per cup.
Learn more about the rate of change here: https://brainly.com/question/13103052
#SPJ5
3 consecutive multiples of 7 are 777
Answer:
252, 259 and 266
Step-by-step explanation:
Multiples of a number are those numbers that are divisible by that. Like if x and y are any two numbers then if y is a multiple of x then the remainder should be equal to zero when x is divided from y.
Answer:
Three consecutive multiples of 7 whose sum is equal to 777 are 252, 259 and 266.
Please click above answer.
Please do 3 brainliests because I need.
If a quantity changes by a factor of 0.125 every year, by what factor does it change every 4 months?
Step-by-step explanation:
0.125 ÷12 = 1/96
1/96 x 4 =1/24
or
0.125÷3=1/24 because 4x3=12
What is the value of x?
Answer:
D
Step-by-step explanation:
because the angles are across from each other, they are equivalent
you would set up the equation like this
8x - 8 = 7x + 8
then you could add 8 to each side
8x = 7x + 16
then subtract 7x from each side
x = 16
1 y = -x + 2 4 please help solve
The 1/4x is the slope and +2 is (2,0).
When "f is inversely proportional to the square of d", if f=18Ib when d=3in, find f when d= 1.2 in.
I give Brainliest :)
Answer:
221
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
...............................
what is the number can subtract 49 in whole number
Step-by-step explanation:
dude it doesn't exist 49 is an odd number
Which function would be a vertical stretch to the function f(x) = 5x - 12?
A. f(x) = 8x - 12
B. f(x) = 3x - 12
C. f(x) = 5x - 16
D. f(x) = 5x + 10
Answer:
d
Step-by-step explanation:
trust me its correct
For the next two questions, use the following coordinates to answer: (1, 3), (5, 2), (1, 5), (2, 3).
Answer:
Use the coordinate plane below to answer the following questions. a. Use a straightedge to construct a line that goes.
Step-by-step explanation:
Find the domain and range of y= f() whose graph is given below.
(Click on graph to enlarge)
Answer:
-8 <_ x < -3
-7 <_ y < -2
Step-by-step explanation:
closed dot means it includes that number so in this case x is least than or equal to -8 and open dot means it doesn't include that value so x is less than -3 and does NOT include -3
and for the y value it's pretty self explanatory if u just count it (i might be off by a little cuz the photo quality is kinda fuzzy but i hope u get the gist!)
4c-5=-6 what is rye value of c ????? and 5e+2=9 what is the value of e??
Answer:
c = -1/4
e = 1 2/5
Step-by-step explanation:
4c - 5 = -6
add 5 to both sides
4c = -1
divide each side by 4
c = -1/4
5e + 2 = 9
subtract 2 from both sides
5e = 7
divide both sides by 5
e = 1 2/5
-Chetan K
Answer:
c = -1/4
e = 7/5
Step-by-step explanation:
1. 4c - 5 = -6, 4c = -1, c = -1/4
2. 5e + 2 = 9, 5e = 7, e = 7/5
Which angles are non-adjacent with <8? (Mark all that apply)
<2
<4
<5
<1
<3
Answer: Every answer choice is to be selected
Explanation:
The following angles are adjacent to angle 8
angle 7angle 9Adjacent angles share a common line segment, line, or ray. Think of it like a shared wall. The other remaining angles are non-adjacent even though something like angle 6 shares a common vertex with angle 8, they don't share a common wall. In a sense, the person living in apartment 6 isn't a direct next door neighbor to the person in apartment 8.
So that's why we select angles 2, 4, 5, 1 and 3 as our answers. In short, we click each box to select all answer options.
In the following equation, a and b represent integers.
2x + a = 5 – bax
What values of a & b would result in infinitely many solutions?
Write your answers in this form: a=#, b=#
I don’t understand how to use this app :(
Step-by-step explanation:
write this equation on a pice of paper then go to the camera button select which one you want and then take a pic of it. i am in a math class a year above me and this is what we are learning these types of problems confuse me I wish I could help
if e^f(x)=1+x^2, then f(x)=
Step-by-step explanation:
point dene ke liye sukriya tumhara dost
Answer:
[tex]\displaystyle f(x) = \ln\left( 1 + x^2\right)[/tex]
Step-by-step explanation:
We are given that:
[tex]\displaystyle e^{f(x)} = 1 + x^2[/tex]
And we want to find f(x).
We can take the natural log of both sides:
[tex]\displaystyle \ln\left(e^{f(x)}\right) = \ln\left( 1 + x^2\right)[/tex]
Recall that ln(aᵇ) = bln(a). Hence:
[tex]\displaystyle f(x) \ln(e) = \ln\left ( 1 + x^2\right)[/tex]
By definition ln(e) = 1. Therefore:
[tex]\displaystyle f(x) = \ln\left( 1 + x^2\right)[/tex]
If AD = 8 feet, DB = 6 feet, and AE = 4 feet, what is AC?
Answer:
14
Step-by-step explanation:
i need could someone help me plsssss
HELP PLEASE THIS IS DUE IN 1 HOUR
Answer:
z=56
Step-by-step explanation:
trust me
z=56 pay attention in school
Help me please I’ll reward you with brainly
Answer:
You are correct! It is the answer you have selected in the picture!
Step-by-step explanation:
Hope this helps :)
4x4=16
-4x-4=16 too
Answer:
a
Step-by-step explanation:
square root both sides and youll get x=4
can i get a brainliest
Find a polynomial function of least degree having only real coefficients, a leading of 1, and zeros of 6 and 3 + i.
The bar graph shows the average temperatures a town in 1950 and in 2000.
Answer:
16 students
Step-by-step explanation:
Answer:
20 students
Step-by-step explanation: