what is the range of the function below in set builder notation? y=|x-3|
Answer: [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]
This translates to "y is any real number such that it is 0 or larger".
The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.
So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.
In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.
Does anyone know how to do this?
I dont really understand how to do this with three terms can someone please help?
Answer:
A. x(x + 7)²
Step-by-step explanation:
Step 1: Write out polynomial
x³ + 14x² + 49
Step 2: Factor out x
x(x² + 14x + 49)
Step 3: Factor out quadratic
x(x + 7)²
(6 + 3) = (4-5) = 18
Evaluate the following numerical expressions
Answer:
18
-9
30
Step-by-step explanation:
did on edge :)
Answer:
Evaluate the following numerical expressions.
6 + 3 • 4 = 18
(6 + 3) ÷ (4 – 5) = -9
6 + 23 • 3 = 30
Step-by-step explanation:
i took the test
Two fifteenths times 10
Answer:
1.3
Step-by-step explanation:
When Scott got his dog Arfus, it weighed
6 lb. Six months later it weighed 8 lb.
How much weight did Arfus gain?
order the following from least to greatest PLZ I NEED HELP!!!!
Answer:
½, √0.28, 0.58
Step-by-step explanation:
you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.
Expressions that simplify to the same expression are called _ _ _ _ _ _ _ _ _ _.
Answer:
Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.
Step-by-step explanation:
HELP!!!!
It was saying that my question is to short so I am just writing this to make it longer! and Thank you to the person who answers my question I do appreciate you taking time out of your day to help me!
Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
Answer:
y = [tex]\frac{3}{5}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 3y = 15 ( subtract 5x from both sides )
3y = - 5x + 15 ( divide all terms by 3 )
y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form
with slope m = - [tex]\frac{5}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line
Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
The equation of the line is; 3x - 5y = 10.
By comparison with the equation of a straight line: y = Mx + c
The equation 5x+3y=15 can be rewritten as ;
y = (-5/3)x + 5
Therefore, the slope of the equation is; (-5/3)
The product of the slope of two perpendicular lines is: -1.
therefore m1m2 = -1
Therefore; M2 = -1/(-5/3)
Therefore M2 = 3/5
The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;
3/5 = (y - 1)/(x - 5)
By Cross product;
3x - 15 = 5y -5
Therefore, the equation of the line is;
3x - 5y = 10.
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https://brainly.com/question/17076690
Evaluate the expression when a = 3, b = 2, and c= -3: (a³ + 2bc)/( c² -5)
WILL MARK YOU BRAINLIEST
Answer:
(-4, -0.5)
Step-by-step explanation:
According to the graph ,
[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]
Sorry for the bad handwriting
Workings are in the picture
La suma de dos numeros es 208 y su diferencia es 122¿cuales son los numeros?
Answer:
Los números son:
43 y 165
Step-by-step explanation:
Planteamiento:
a + b = 208
a - b = 122
Desarrollo:
de la segunda ecuación del planteamiento:
a = 122 + b
sustituyendo este último valor en la primer ecuación del planteamiento:
(122+b) + b = 208
2b = 208 - 122
2b = 86
b = 86/2
b = 43
a = 122 + b
a = 122 + 43
a = 165
Comprobación:
165 + 43 = 208
165 - 43 = 122
El punto 22, los resultados/procedimiento para confirmar que lo hice bien
Answer:
a)
1/4 : a = 1/10
1/4 = a*1/10
(1/4) : (1/10) = a
(1*10):(4*1) = a
10/4 = a
entonces:
1/4 : 10/4 = 1/10
respuesta:
en el recuadro va:
10/4 o su equivalente 2/5
b)
3/7 : a = 9
(3/7) : 9 = a
3 : (7*9) = a
3 / 63 = a
entonces:
(3/7) : (3/63) = 9
(3*63) : (7*3) = 9
63 : 7 = 9
entonces, en el recuadro va:
3/63 o su equivalente 1/21
c
a : (1/2) = 5/2
a = (5/2) * (1/2)
a = (5*1) / (2*2)
a = 5/4
entonces:
(5/4) : (1/2) = 5/2
(5*2) : (4*1) = 10/4 = 5/2
entonces, en el recuadro va:
5/4
d
a : (1/2) = 2/5
a = (2/5) * (1/2)
a = (2*1) / (5*2)
a = 1/5
entonces:
(1/5) : (1/2) = 2/5
(1*2) / (5*1) = 2/5
How do you find MAD
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set
Convert 6 7/20
into a decimal
Answer:
6.35
Explanation:
7 divided by 20 is 0.35+6= 6.35
A line segment is a geometric figure that consists of what?
How do I do this, please explain.
whats the answer to this question -9x+1= -8
What’s 6 (3x + 5) please
6(3x+5)
6*3x=18x
6*5=30
18x+30 is your answer! I hope this helped! :)
3.409 x 10^-3 In scientific notation.
Answer:
Since the exponent of the scientific notation is negative, move the decimal point 3 places to the left.
0.003409
Penelope earned $50 in May. She earned $60 in June.
What is the percent increase or decrease in Penelope's monthly earnings
Answer:
120% increase
Step-by-step explanation:
Find the distance between (8, -4.7) and (8, 5.3)
Answer:
d = 10
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]
find de equation of a line with slope 2y + x =6 and passing through the point (-2,3)
Answer:
[tex]y = mx + b[/tex]
[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]
PLEASE MARK AS BRAINLIEST
he Moore family is selecting a furniture set. A furniture set has a bed, a desk and a dresser. There are beds, desk, and dressers to select from. How many different furniture sets could they select?
6. Edward bought 23.4 pounds of potatoes and 26.1 pounds of carrots.
How many pounds of vegetables did he buy in all? *
O 49.5 pounds
O 50 pounds
O 50.5 pounds
O 63.3 pounds
Answer:
49.5 lbs.
Step-by-step explanation:
23.4 + 26.1 equals 49.5 pounds
Hopefully this helps you :)
pls mark brainlest ;)
If g(x) = x2 + 12, what does f(8) equal?
48
76
66
28
Asap pls
At what points do the the graphs of y = 2x+1 and y= -(x-1)^2+3 intersect?
O A. (-2, -6) and (2, 2)
O B. (-1, -1) and (1,3)
O C. (-3,5) and (2, 2)
O D. (1, 3) and (3,7)
Match question it has 3 answers I’m giving brainly
Answer:
1st 2nd and 4th option are correct
Answer:
B
Step-by-step explanation:
C is wrong because -11 + 4 is -7
E is wrong because you can't change the negative sign just for one value on one equation
Evaluate R - Y for R = -2 and Y= -7
Answer:
5
Step-by-step explanation:
Replace variables with integers
(-2) - (-7)
Solve.
-2 - (-7) --> -2 + 7 --> 5