what is the range of the function below in set builder notation? y=|x-3|
Answers
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.
Related Questions
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2
Answers
Answer:
Step-by-step explanation:
The question is incomplete. Find the complete question a=below;
A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2. After how many seconds does the golf ball strike the ground?
The ball strikes the ground when the height h(t) = 0. To get the time wen the golf ball strikes the ground, we will substiute h = 0 into the modeled equation and calculate t as shown;
h(t)=40t-16t2
0 h(t)=40t-16t2
40t-16t² = 0
add 16t² to both side
40t-16t²+16t² = 0+16t²
40t = 16t²
40 = 16t
divide both sides by 16
t = 40/16.
t = 2.5secs
Hence the golf ball hit the ground after 2.5secs
Answer:
when the ball is hit as 0 second it has a height of 0 feet (because it hasnt done anything yet). The ball's height increases until it reaches its maximum height of 40 feet after 1.25 seconds (40t= 2.5/2). The balls height then decreases until it reaches 2.5 seconds after it was hit.
If the measure of angle 6 = 78°, what is the measure of angle 7?
Answers
6x^2=21x-9 Need help learning factoring please put work so I can understand
Answers
What value of x is in the solution set of 3(x – 4) > 5x + 2?
Choices
-10
-5
5
10
Answers
We have to simplify and get the value of x from this inequality given:
Given inequality,
[tex]3(x - 4) > 5x + 2[/tex]
Now let's simplify by using distributive property,
[tex]3x - 12 > 5x + 2[/tex]
We need to find x, so let's isolate x to the letter side of the inequality for calculation at ease.
[tex]3x - 12 - 5x - 2 > 0[/tex]
[tex] - 2x - 14 > 0[/tex]
Now, dividing -2 from both sides.
Note : As we are dividing a negative number from both sides, the sign of the inequality will be reversed.
[tex] \dfrac{ - 2x - 14}{ - 2} > \dfrac{0}{ - 2} [/tex]
[tex]x + 7 < 0[/tex]
Now subtracting -7 from both sides,
[tex]x + 7 - 7 < 0 - 7[/tex]
[tex]x < - 7[/tex]
Or, Interval of the equal [tex](- \infin, -7 ][/tex]
#CarryOnLearning
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Answer:
it's A :)
Step-by-step explanation:
can I have brainlest please
15 less than a number S is three more than 9 times a number T. Solve for S
Answers
Answer:
s = 9t + 18
Explanation:
Set up your equation
s - 15 = 9t + 3
Now get s by itself by adding 15 to both sides
s + 0 = 9t + 3 + 15
s = 9t + 18
If you know the value of t, plug that into the equation to solve further.
Let f(x)=5x-4 and g(x)=x^2-1. Find (g*f)(-1)
Answers
Answer:
D. 80
Step-by-step explanation:
Given:
f(x) = 5x - 4,
g(x) = x² - 1
Required:
(g o f)(-1)
SOLUTION:
(g o f)(-1) = g(f(-1))
Plug in -1 for x into the function, f(x) = 5x - 4:
g(f(-1)) = g(5(-1) - 4)
= g(-5 - 4)
= g(-9)
Plug in -9 for x in the function, g(x) = x² - 1
g(-9) = (-9)² - 1
= 81 - 1
= 80.
Therefore, (g o f)(-1) = g(f(-1)) = 80
D. 80 is the correct answer.
Mrs. Bryant is making 17
Christmas ornaments. It
takes 30 minutes to make
each ornament. If she
begins at 1430, at what
time will she finish?
(Write in military time)
Answers
To get the answer you multiply 17 by 30 which is 510. Next you add 510 and 1430 which is 1940. To get to regular time and not military time, subtract 12 from 19 and there you go! Hope this helps!!:))))))
Solve for 3x + 5(x - 2) = 14
Answers
3x+ 5x - 10 = 14
8x-10= 14
add 10 to both sides
8x=24
divide 8 both sides
x = 3
Solve equation: 3 (x + 4) - 5 (1 - 1) < 5
Answers
Answer:
x<-7/3
Step-by-step explanation:
3x+12<5
3x+12-12<5-12
3x<-7
3x/3<-7/3
x<-7/3
g(a) = a + 2. Find f(-7).
Answers
Answer:
-5= g(a)
Step-by-step explanation:
assuming this is a typo and you meant to say g(-7).
-7 +2 = -5
What is the solution of the following quadratic inequality? 9x - x2 > 18
Answers
Answer: (3,6)
Step-by-step explanation: edge 2020
Answer:
A
Step-by-step explanation:
Ed2021
F is between E and G. E, F, and G are collinear. EG = 29x – 3 ; EF = 6x + 12; FG = 13x + 5. Find EG.
Answers
Answer:
EG=55
Step-by-step explanation:
EF+FG=EG
(6x+12)+(13x+5)=29x-3
19x+17=29x-3
20=10x
2=x
29x-3
29(2)-3
58-3
55
Check
(6x+12)+(13x+5)
((6(2)+12))+((13(2)+5))
(12+12)+(26+5)
24+31
55
Use the following conditional:
If a number is odd, then it is an integer and a prime number.
Which is the hypothesis of the conditional?
A. A number is odd.
B. A'number is a prime number.
C. A number is either an integer or a prime number.
D. A number is both an integer and a prime number.
Answers
Answer:
a: a number is odd
Step-by-step explanation:
It uses the word IF
Storm Center 7 was tracking a cold front approaching Cedarburg. Before it rolled in, the temperature was – 7°F. Then, the temperature decreased by 9°F.
Answers
Answer:
The tempature is now -16 F
Subtract. -7 - -9 = -16.
Hope this helps.
Answer:
-16
Step-by-step explanation:
g(x)= - 4x - 24 PLEASE HELP
Answers
Answer:
the answer got that would be -4
Someone please help.
Answers
15/2 is (greater than, less than, or equal to) the square root of 55?
Answers
First make 15/2 a mixed number
7 1/2
Or in decimal form its 7.5.
Find the square root of 55
Around 7.4
15/2 is greater
HELPPPPPPPPPPP!!!!!!
Answers
Answer:
2x
Step-by-step explanation:
The width of the outer frame - inner frame
= 8 [tex]\frac{3}{4}[/tex] - 4 = 2x
Please Help Thank You So Much
This is inequalities
Knowing that 6 < x < 7 and 10 < y < 12, find all possible values of:
b). y − x
d). y / x
You don't need a graph to solve this.
I kinda need this today.
Answers
Answer:
all the possible values of y - x are 4 and 5
all possible values of x/y = 1
- 32x - 40
What is the first step that I should do
Answers
I take it that you're trying to solve for the variable (x), so by using the order of operations (PEMDAS), the first step is to add 40 to both sides of the equation as addition cancels out subtraction.
[tex] - 32x - 40 = 0[/tex]
[tex] - 32x = 40[/tex]
From there you will divide by -32 and simply the fraction.
[tex]x = - \frac {40}{32} [/tex]
[tex]x = - \frac{5}{4} [/tex]
I hope this helps, but please let me know if this is not what you're trying to do.
6. Simplify: 15 + 10 - 8-2 +3 - 4 - 1
Answers
Answer:
13
Step-by-step explanation:
15 + 10 = 25
25 - 8 = 17
17 - 2 = 15
15 + 3 = 18
18 - 4 = 14
14 - 1 = 13
Answer:
13
Step-by-step explanation:
its 13
Determine the measure of the angle labeled (4x + 7)
I'm very confused please help ASAP
Answers
Answer:
8 degrees
Step-by-step explanation:
4x+7=6x−9
Step 1: Subtract 6x from both sides.
4x+7−6x=6x−9−6x
−2x+7=−9
Step 2: Subtract 7 from both sides.
−2x+7−7=−9−7
−2x=−16
Step 3: Divide both sides by -2.
-2x/-2 =-16/-2
Equals to X=8
Simplify to create an equivalent
6 (5 - 3y) + 4(y + 1)
Answers
Answer:
-14y + 34
Step-by-step explanation:
Step 1: Write out equation
6(5 - 3y) + 4(y + 1)
Step 2: Distribute
30 - 18y + 4y + 4
Step 3: Combine like terms
-14y + 34
Answer:
34-14y
this is simplifed
Step-by-step explanation:
if a+b= -1 then the value of a^3+b^3 - 3ab= ?
Answers
Answer:
-1
Step-by-step explanation:
[tex](a + b)^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) \\ ( - 1)^{3} = {a}^{3} + {b}^{3} + 3ab( - 1) \\ - 1 = {a}^{3} + {b}^{3} - 3ab\\ \\ \huge \red{ \boxed{{a}^{3} + {b}^{3} - 3ab = - 1}}[/tex]
Mrs. Owens laid carpet in a rectangular room 12 ft by 15 ft
About how much carpet did she buy?
A 27 sq ft
B. 180 sq ft
C 54 sq ft
D. 45 sq ft
E 160 sq ft
Answers
Answer:
180 sq ft
Step-by-step explanation:
12 x 15 = 180
The total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
A=a\times b
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
Mrs. Owens laid carpet in a rectangular room, 12 ft by 15 ft. Here, the length of the rectangular carpet for the room should be 15 ft and width should be 12 ft.
Thus, the area of the carpet is,
[tex]A=15\times12\\A=180\rm\; ft^2[/tex]
Thus, the total amount of carpet Mrs. Ownes bought for her rectangular room of 12 ft by 15 ft is 180 sq ft.
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
#SPJ2
Can someone help me figure this out please?! Please do step by step 3x - 4y= 65 y=4
Answers
Answer:
21
hope this helped you
please mark as the brainliest (ㆁωㆁ)
A new shoe comes in three colors: tan, navy, or black. It also comes in full sizes 4 to 11. If a pair of shoes is chosen at random from a display of all the possible colors and sizes, what is the probability it will be a black size 9
Answers
The probability that the shoe is going to be a size 9 black shoe is 1/24.
Given the explicit expression f(n)=4n+2, write a set showing the sequence.
A {6, 10, 14, 18,...}
B {6, 8, 10, 12,...}
C {4, 8, 12, 16,...}
D {2, 6, 10, 14,...}
Answers
the answer is A because you would do 4x1+2 and then you would do 4x2+2 and so on
Correct! Thanks. This really helped me on a question on my quick check!
x + 12y = 156
4x + 6y = 62
What is the cost of each jersey?
Answers
Brainliest?
what is 3/4 times 12
Answers
Answer:
bruh its 9
Step-by-step explanation: