Which graph represents the function f(x)=−|x−3|+1 ?
I already chose, I just want to see if I'm correct.
Answers
Option (C) graph represents the function f(x)=−|x−3|+1.
What is the graph of the function?
A function is a mathematical relationship between an input value (the independent variable) and an output value (the dependent variable), where each input value is associated with exactly one output value.
In general, the graph of a function can provide valuable information about its behavior and properties, such as the range of possible output values, the presence of maximum or minimum points, and the direction of the function's increase or decrease over its domain.
The graph of the function f(x) = -|x - 3| + 1 is a V-shaped curve with its vertex at (3, 1) and opening downwards. The absolute value of x - 3 is the distance from x to 3 on the number line, so the expression -|x - 3| is negative when x is greater than 3 and positive when x is less than 3. The negative sign flips the direction of the V-shaped curve, so it points downwards.
To graph the function, we can plot a few points and connect them with a smooth curve. For example, we can choose values of x that are on either side of 3 and plug them into the function to find the corresponding y-values:
When x = 0, f(x) = -|0 - 3| + 1 = -3 + 1 = -2, so the point (0, -2) is on the graph.
When x = 3, f(x) = -|3 - 3| + 1 = 1, so the vertex (3, 1) is on the graph.
When x = 6, f(x) = -|6 - 3| + 1 = -3 + 1 = -2, so the point (6, -2) is on the graph.
Hence, the Option (C) graph represents the function f(x)=−|x−3|+1 .
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Related Questions
B) What is the cost of making 35 items?
And c. The domain
Answers
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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Pls help
Which of these rational number's is the product of the other 6:
2/99, 2/3, 5/7, 2 1/3, 2 1/4, 10/11, 18.
Answers
Answer:
10/11
Step-by-step explanation:
Find the volume of the prism.
9km 8km 6km
Answers
The correct answer is option B which is the volume of the prism is 216 km³.
What is the volume of the prism?A prism is a three-dimensional solid with a triangular base called a triangular prism. The volume of the triangular prism is equal to the product of the area of the base and the height of the prism.
The volume of the prism will be calculated by using the formula below:-
V = Area of the base x Height
Since the base is a right-angle triangle so we will calculate the area of the right-angle triangle.
V = Area of the triangle x Height
V = ( 1/2 ) x 8 x 6 x ( 9 )
V = 216 km²
Therefore the correct answer is option B which is the volume of the prism is 216 km³.
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The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
Answers
Answer:
I think it might be zero
Step-by-step explanation:
you might want to look into this all the way beforyou trust put it into*
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, estimate how much longer I will be driving for?
Answers
It has taken me 32 minutes to drive 48 km. If the total length of my journey is 146 km and I maintain the same speed, then you can estimate that you will be driving for approximately 65.344 minutes longer to complete the remaining 98 km of your journey.
To estimate how much longer you will be driving for, we can use the concept of proportionality. We know that the time taken to drive 48 km is 32 minutes. Let's use this information to find the time it would take to drive 146 km.
We can set up a proportion to find the time:
(time taken for 48 km) / (48 km) = (time taken for 146 km) / (146 km)
Let's solve for the time taken for 146 km:
(time taken for 146 km) = (time taken for 48 km) * (146 km / 48 km)
Substituting the given values:
(time taken for 146 km) = 32 minutes * (146 km / 48 km)
Calculating the value:
(time taken for 146 km) ≈ 32 minutes * 3.042
(time taken for 146 km) ≈ 97.344 minutes
Therefore, it would take approximately 97.344 minutes to drive 146 km at the same speed.
To estimate how much longer you will be driving for, we can subtract the initial time of 32 minutes from the estimated time of 97.344 minutes:
Additional time = 97.344 minutes - 32 minutes
Additional time ≈ 65.344 minutes
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¿Cuál es el volumen de un cubo de 10 cm de lado?
Answers
Answer: 1,000 cm^3
Step-by-step explanation:
10*10*10=1,000 cm^3
What is the domain of this function ?
Answers
You spin the spinner twice.
8
7
What is the probability of landing on an 8 and then landing on a 7?
Write your answer as a fraction or whole number.
Answers
two over four is the probability that you will land on seven or eight
Answer:
P( landing an an 8 then on a 7 ) = 1/ 16
What is a Probability?
Its is the branch of mathematics concerning numerical description of how likely an event is to occur .
P( landing an an 8 then on a 7 ) = P ( landing on an 8) * P ( landing on a 7 )
P(Landing on an 8) = 1/4
P(Landing on an 7) = 1/4
P = 1/4 * 1/4
P= 1 / 16
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need as soon a posible within 2 minutes enjoy your points
Answers
Answer:
(x+6)^2+(y-7)^2= 29
Step-by-step explanation:
general exqn-> (x-h)^2+(y-k)^2=(r)^2
here, h= -6 and k=7
r= √ 29
Therefore, exqn of circle=
(x+6)^2+(y-7)^2= 29
Answer:
(x + 6)² + (y - 7)² = 29
Step-by-step explanation:
the equation of a circle in standard form is
(x - h )² + (y - k )² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 6, 7 ) and r = \(\sqrt{29}\) , then
(x - (- 6) )² + (y - 7)² = (\(\sqrt{29}\) )² , that is
(x + 6 )² + (y - 7 )² = 29
Factor.
64x^12+27y^3
Answers
Answer:
(4x^4 + 3y) * (16x^8 - 12x^4 y + 9y^2)
Step-by-step explanation:
rewrite 64x^12 as (4x^4)^3
(4x^4)^3 + 27y^3
rewrite 27y^3 as (3y)^3
a^3+b^3=(a+b)(a^2 - ab + b^2)
(4x^4 + 3y) ((4x^4)^2 - (4x^4 * (3y) + (3y)^2)
\(\\ \rm\Rrightarrow 64x^{12}+27y^3\)
\(\\ \rm\Rrightarrow 4^3x^3x^6x^3+3^3y^3\)
\(\\ \rm\Rrightarrow (4xxxx)^3+(3y)^3\)
\(\\ \rm\Rrightarrow (4x^3)^3+(3y)^3\)
a^3+b^3=(a+b)(a^2+ab+b^2)\(\\ \rm\Rrightarrow (4x^3+3y)(16x^6+12x^3y+9y^2)\)
What is the solution to the following inequality?
*** <5
O w>4
0 > 2
O <4
0 0 <16
Answers
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Inequalities.
so we get as,
(w+6)/2 < 5
so we get as,
w+6 < 10
=> w < 10-6
=> w < 4
so the answer is,
w < 4
Evaluate the expression. 8+12x7
Answers
Answer:
92
Step-by-step explanation:
We first do 12x7 which equals to 84
Then we add 8 which equals to 92
Domain:
O-85x<0 or 0
O-85x50or 0≤x≤2
O 1
O 2
Answers
The domain and the range of the piecewise function in this problem are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.How to obtain the domain and range of a function?The domain of a function is defined as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is defined as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:
Domain: -6 ≤ x < 0 or 0 < x ≤ 2.Range: 0 ≤ y < 1 or 1 < y ≤ 6.Learn more about domain and range at https://brainly.com/question/26098895
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PLZ HELP ILL MARK AS BRAINLIETS
Answers
Answer:
45ft²
Step-by-step explanation:
4 [ 2(6ft × 1.5ft) ÷ 2 ] + ( 3ft × 3ft )
= 4 [ 2(9) ÷ 2 ] + ( 3ft × 3ft )
= 4 [ 18 ÷ 2 ] + ( 3ft × 3ft )
= 4 ( 9 ) + ( 9 )
= 36 + 9
= 45ft
Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 36 books. There are 1,188 mystery books.
Answers
Answer:
33 bookshelves
Step-by-step explanation:
I think this question is asking how many shelves he needs, but I am unsure because the question is incomplete.
If there are 1,188 books, and each shelf can hold 36 books, we need to divide.
\(number of books\)÷\(bookspershelf\)
\(1188\)÷\(36\)=\(33\)
We need 33 bookshelves
Hope this helps :-)
Selena is 6 years younger than pual. in 15 years, pual will be 4 times the age Selena is now. what are their present ages?
Answers
Answer:
13 & 7.
Hope this helps.
10.
Use the quadratic function to predict y if x equals 6.
y = 2x2 − 2x − 2
A. y = 60
B. y = 58
C. y = −60
D. y = −58
Answers
Answer:
B. y = 58
Step-by-step explanation:
b) y=58 you follow the instructions
...............................................................................................................................................
The given quadratic function is
y= 2x^2 - 2x - 2
We have to find the value of the function y at x=6.
Substitute x=6 in the given function.
y= 2(6)^2 - 2(6) - 2
y= 2(36) - 12 - 2
y= 72 - 14
y= 58
The value of the function is 58 at x=6 is 58.
Therefore the correct option is B.
gena sprinted 12 yard. alicia sprinted 10 yards and 4 feet. lyona sprinted 4 yards and 7 feet less than gena how many total feet did the three girls sprint
Answers
Answer:
100 ft
Step-by-step explanation:
1 yd = 3 ft
Gena: 12 yd= 36 ft
Alicia: 10 yd and 4 ft= 34 ft
Lyona: about 10 yd= 30 ft
36 + 34 + 30 = 100
tina is training for a biathlon. To train for the bicycle portion, she rides her bike 15 miles uphill and 15 miles back down. the complete trip takes her 2 hours. If her downhill speed is 20 miles per hour fadter than her uphill speed how fast does dhe ride uphill?
Answers
Answer:
Step-by-step explanation:
Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.
-1
W
Which is the correct graph of y = x2?
a.
c.
5
4.
2
3
1-
2
+
1
-S
4
-2
1
--
2
3
4
S
1
3
X
-3
tor
-S
b.
5
d.
Ty
4
3
Answers
Answer:
Step-by-step explanation:
In the graph of y = x2, the point (0, 0) is called the vertex. The vertex is the minimum point in a parabola that opens upward. In a parabola that opens downward, the vertex is the maximum point. We can graph a parabola with a different vertex.
Choose the expression that is equivalent to the expression n − n + n − n.
Answers
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answers
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
answer this please!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
200
Step-by-step explanation:
\(a^{2}\) + \(b^{2}\) = \(c^{2}\)
\(120^{2}\) + \(160^{2}\) = \(c^{2}\)
14400 + 25600 = \(c^{2}\)
40000 = \(c^{2}\)
\(\sqrt{40000}\) = \(\sqrt{c^{2} }\)
200 = c
Jesus love you.
1. What is the measure
of ZABC?
A
98⁰
B
tc
2.
Answers
Answer:
∠ ABC = 49°
Step-by-step explanation:
the chord- tangent angle ABC is half the measure of the intercepted arc AB
∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°
I NEES HELP STATISTICS
Answers
- This year at least one of their clients will have a starting salary of at least $40,000.
There is not enough information to determine whether this statement is true or false. The mean starting salary from last year does not provide information on this year's salaries.
- Last year some of their clients had a starting salary of exactly $40,000.
This statement is true. Since the mean includes all starting salaries, it is possible for some clients to have had a starting salary of exactly $40,000.
- Last year fewer than half of their clients had a starting salary of $40,000 or less.
This statement is false. Since the mean starting salary is $40,000, it is impossible for fewer than half of the clients to have had a starting salary of $40,000 or less.
- Last year some of their clients had a starting salary of more than $36,000.
This statement is true. Since the mean starting salary is $40,000, it is possible for some clients to have had a starting salary of more than $36,000.
- Last year at least one of their clients had a starting salary of at least $40,000.
This statement is true. Since the mean starting salary is $40,000, it is possible for at least one client to have had a starting salary of at least $40,000.
Therefore, the statements that must be true based on the given information are:
- Last year some of their clients had a starting salary of exactly $40,000.
- Last year some of their clients had a starting salary of more than $36,000.
- Last year at least one of their clients had a starting salary of at least $40,000.
A farmer is enclosing a rectangular area for a pigpen. He wants the length of the pen to be 20 ft longer than the width. The farmer can use no more than 100 ft of fencing. What is the pen’s greatest possible length? Let w represent the width of the pen. What expression represents the length?
Answers
Answer:
Width is 15, length is 35.We can check our answer by multiplying the length by 2 and the width by two in order for the perimeter to be equal to 200.15 times 2 is 30 and 35 times two equals 70.70+30=100 so our solution satisfies our problem.
Step-by-step explanation:
Let the width be x.Then the length should be x+20.The farmer can’t use more than 100 ft of fencing and by mentioning enclosing a rectangle area for a pigpen, we can tell that 100 is the perimeter.So 2(x+20) + 2(x)=100.2x+ 40 + 2x=100.4x+40=100.4x=60.X is 15 which is the width so then the length is 35.
Estimate the sum of 379+409=
Answers
Answer:
Round both numbers to 1 significant figure.
400+400=800
800 is the answer.
Find the third iterate x3 of f(x) = 2x + 3
for an initial value of x0 = 2
a. 7
b. 15
c. 17
d. 37
Answers
For the function f(x) = 2x + 3 the third iterate x₃ is 37
To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,
we can apply the function repeatedly.
Starting with x₀ = 2:
x₁ = f(x₀)
= 2(2) + 3
= 7
x₂ = f(x₁)
= 2(7) + 3 = 17
x₃ = f(x₂)
= 2(17) + 3
= 37
Therefore, the third iterate x₃ is 37.
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Jocelyn complied data on the number of hours students work per week the summer after senior year. The minimum number of hours is the distribution was 23. The range was 17.
What is the maximum number of hours in the distribution?
Answers
Answer:
40
Step-by-step explanation:
"The minimum number of hours is the distribution was 23."
So the lowest number of hours per week is 23
"The range was 17."
So from 23 we add 17 more hours to get the full range.
23 + 17 = 40
The maximum number of hours in the distribution is 40.
4y-1=15 written in x terms
Answers
Answer:
y=7/2
Step-by-step explanation: