Answers
Answer:
B is correct ;)
Step-by-step explanation:
i just did it haha
The option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².
What is a function?A function is defined as a relationship between a set of inputs that each have one output.
How to solve this problem?Notice that the function g(x) passes through the point (2,1). So, the functional value of g(x) at x = 2, i.e. g(2) = 1.
Check which option match this criterion.
Now, for option A,
g(x) = (1/2)x²
and g(2) = (1/2)×2² = (1/2)×4 = 4/2 = 2 ≠ 1
So, option A is incorrect.
For option B,
g(x) = ((1/2)x)²
and g(2) = ((1/2)×2)² = (2/2)² = 1² = 1
So, option B is correct.
Therefore option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².
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Related Questions
What is the circumference, in centimeters, of the circle? Use 3.14 for n. Enter your answer in the box
Answers
Answer:
75.36
Step-by-step explanation:
The circumference of a circle is just the diameter, 24 in this question times 3.14.
The solution is, 75.36 cm is the circumference, in centimeters, of the circle.
What is perimeter?A perimeter can be mentioned as a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.
Perimeter means to the total outside length of an object,
here, we have,
the diameter, 24 cm (in this question)
now, we have to find the circumference,
we know that,
The circumference of a circle is the diameter times 3.14.
so, we get,
the circumference = 24*3.14 cm
=75.36cm
Hence, The solution is, 75.36 cm is the circumference, in centimeters, of the circle.
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Can anyone help please?
Answers
Answer: [tex]5x\sqrt{3x}[/tex]
Step-by-step explanation:
The factors of 75 are 5, 5, and 3. Since there are two 5's, we can take the square root of them to get 5. x^3 has x, x, and x. There are also two x's, which means that we can square root them to equal just x.
The length of a cell phone is 8 centimeters to the
nearest centimeter and 81 millimeters to the nearest
millimeter. Which measurement is more precise? PLS HELP BEST ANSWER GETS BRAINLESST
Answers
Answer:
81 mm is more precise
Step-by-step explanation:
millimeters are smaller than cm
8 cm * 10 mm/1 cm = 80 mm
compared to 81 mm
81 mm is more precise
in circle o BC =17 and DC =30 what is the length of diameter ba
Answers
Answer:
if B is centre and BCD lie on diameter then
length of diameter = 47
47
Step-by-step explanation:
Mr. Marlon buys these tickets for his family to visit the water park. the total cost of is $210. write and solve an equation to find the cost of each ticket .
Answers
Answer:
$52.50
Step-by-step explanation:
there are 4 tickets including him it costed him 210 for all 4 of them.
Write an equation of the line in slope-intercept form. The points are (0,1) and (2,-5)
Answers
Your answer is y = -3x + 1
To find the equation of the line we need both the slope and where it intercepts the y-axis. We are given where it intercepts the y-axis because they tell us it goes through the point (0, 1) and this is a point where x = 0, so it must be on the y-axis.
The equation for finding the slope of a line given two points is [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex] where [tex](x_{1},y_{1})[/tex] and [tex](x_{2},y_{2})[/tex] are points on the line. Using this, we can substitute in the points we're given and get:
(-5 - 1)/(2 - 0) = -6/2 = -3
Therefore our slope is -3 and our intercept is 1, so the final answer is y = -3x + 1
I hope this helps!
Use trigonometric functions and/or Pythagorean Theorem to find the missing variable round answer to 2 decimal place (hundredths)
Answers
which of the following are exterior angles? check all that apply
Answers
Answer:
5 and 4 and 6
Step-by-step explanation:
it is 5 and 4 because they are not angles inside the triangle
A sector with a radius of 15 cm has a central angle measure of 8pie/5
What is the area of the sector?
Answers
Answer:
The area of the sector is [tex]180\pi \ cm^2[/tex].
Step-by-step explanation:
We have,
Radius of circle is 15 cm
Central angle is [tex]\dfrac{8\pi}{5}\ \text{radian}[/tex]
It is required to find the area of the sector. The formula used to find the area of sector is given by :
[tex]A=\dfrac{1}{2}r^2\theta[/tex]
Plugging all the values in above formula as :
[tex]A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2[/tex]
So, the area of the sector is [tex]180\pi \ cm^2[/tex].
The graph of f(x) = |x| is vertically stretched by a factor of 3, shifted left 2 units, shifted down 4 units and reflected over the x-axis. What is the function equation of the resulting graph?
Answers
Answer:
The final transformed function becomes:
[tex]f(x)=-3\,|x-2|+4[/tex]
Step-by-step explanation:
The first transformation (vertically stretched by a factor of 3) means we multiply by 3 the original function:
[tex]f(x)= 3\,|x|[/tex]
second transformation (shifted left 2 units) means we add 2 units to "x":
[tex]f(x)=3\,|x+2|[/tex]
third transformation (shifted down 4 units) implies that we subtract 4 units to the full functional expression:
[tex]f(x)=3\,|x+2|-4[/tex]
fourth transformation (reflected over the x-axis) implies that we multiply the full functional expression by "-1":
[tex]f(x)=(-1)\,(3\,|x+2|-4)\\f(x)=-3\,|x-2|+4[/tex]
Step-by-step explanation:
Step 1: Add the vertical stretch
[tex]f(x) = |x|[/tex]
[tex]f(x) = 3|x|[/tex]
Step 2: Shift it to the left 2 units
[tex]f(x) = 3|x|[/tex]
[tex]f(x) = 3|x + 2|[/tex]
Step 3: Shift it down 4 units
[tex]f(x) = 3|x + 2|[/tex]
[tex]f(x) = 3|x + 2| - 4[/tex]
Step 4: Reflect it across the x-axis
[tex]f(x) = 3|x + 2| - 4[/tex]
[tex]f(x) = -3|x + 2| - 4[/tex]
Answer: [tex]f(x) = -3|x + 2| - 4[/tex]
what is 3 times a times 2 times b
Answers
So the right answer is 6ab
look at the attached picture
hope it will help you
Good luck on your assignment
Write as a product of two polynomials.
a(b–c)+d(c–b)
Answers
Answer:
(b - c)(a - d)
Step-by-step explanation:
Given
a(b - c) + d(c - b) ← factor out - 1
= a(b - c) - d(b - c) ← factor out (b - c) from each term
= (b - c)(a - d)
Pierre is rowing his kayak on a lake. He moves miles in 18 minutes. At this rate, how far would he move in 30 minutes?
Answers
Answer:
Step-by-step explanation:
times the number so 18 times 30
Answer: 2 1/12
Step-by-step explanation: Study Island
Create a polynomial that is added to 5x2 + 6x + 9 to get 7x2 + 9x + 14.
Answers
Answer:
Step-by-step explanation:
Subtract first from second
= 2x^2 + 3x + 5
Need help with maths
Answers
Answer:
Multiples of 9 are 9,18,27,36,45.
Multiples of 32 are 32,64,96,128,160
Prime numbers are 2, 3, 5, 7, 11,
Hope this helped
Answer:
a) 9, 18, 27, 36, 45 b) 1, 2, 4, 8, 16, 32 c) 2, 3, 5, 7, 11
Step-by-step explanation:
a) To find the first five factors, you just need to multiply nine by 1, 2, 3, 4, and 5 and there are your answers :)
b) 1x32=32, 2x16=32, and 4x8=32, but none other whole numbers can multiply to get 32. So those are the factors of 32.
c) Prime numbers are ones who's only factors are 1 and themselves. 2, 3, 5, 7, and 11 are the first of the list because you will not find any other factors.
what's the appropriate domain
please help
Answers
Solve the inequality.
11 + x > 15
x > 6
x > 4
x < 6
x < –4
Answers
Answer:
uhhh
Step-by-step explanation:
Answer:
x > 4
11 + x > 15
-11. -11
x >4
Brendan read 4 books in 4 weeks, reading the same number of books each month, and in each week of the month. If Alicia reads 2 books each week, how many more
books does Alicia read each week than Brendan?
1.1
2.2
3.4
4.12
pls help
Answers
Answer:
Alicia reads 1 more book than brendan each week.
Plzzzz make me BRAINLIEST PLSSSSSSSS plssssssssss
of 55 cars making up a freight train, 37 are boxcars. what fraction of the cars are not boxcars?
Answers
Answer:
18/55
Step-by-step explanation:
What is the product?
(4x)(-3x^8) (-7x^3)
-84x1 12
-84x24
O 84x12
84724
Answers
Answer:
the answer is 84x^12
Step-by-step explanation:
have a lovely day
The product of the given expressions will be 84x¹²
What is an expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given is an expression, 4x(-3x⁸)(-7x³) we need to find the product of the same,
So, the product is =
4x(-3x⁸)(-7x³)
= 4x × (-3x⁸) × (-7x³)
= 4 · x · (-3) · x⁸ · (-7) · x³
= 4·21·x⁽¹⁺⁸⁺³⁾
= 84x¹²
Hence, the product of the given expressions will be 84x¹²
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I need the answer please help
Answers
Answer:
2k + 5
Step-by-step explanation
did it on e2020
WILL MARK YOU BRAINLIEST
Answers
Answer:The area is 14306. 625 cm.
Step-by-step explanation:
To find the area of the circle, we will need to find the diameter and find the radius.
So we know the circumference is 423.9 m and we know to get the circumference, you will need to multiply pie by the diameter .
so now we need divide the circumference by pie to find the diameter.
423.9/ 3.14 = 135 so 135 is the diameter.
To find the radius we need to divide the diameter by 2.
135/2 = 67.5
Now is time to find the area which uses the formula A= nr^2
A = 3.14 * 67.5^2
A = 14306. 625
Part 1:"The students in art class are designing a stained-glass window to hang in the school entryway. The window will be 3 feet tall and 4 feet wide. They have raised $100 for the project. The colored glass costs $5 per square foot and the clear glass costs $2 per square foot. The material they need to join the pieces of glass together costs 10 cents per foot and the frame around the window costs $4 per foot.
Do they have enough money to cover the cost of making the window?" (PART 1 IS DONE)
Part 2:"A local community member sees the school’s stained glass window and really likes the design. They ask the students to create a larger copy of the window using a scale factor of 3 (9 feet tall and 12 feet wide). Would $450 be enough to buy the materials for the larger window?"
Part 3:"Make your own stained glass window design that could be made for less than $450. Show your thinking."
Answers
Answer:
PART 2:
Total cost is 1198.8
Colored glass=
540/ 108
clear glass=
216/108
materials=
10.8/108
Frame=
432/108
PART 3
The window would be 4.5 ft tall and 6 ft wide
Colored glass =
135/27
clear glass =
54/27
frame =
108/27
materials=
2.7/27
ADD
135+108+54+2.7= 299.7
Answer:
p2
Step-by-step explanation:
It would take john 6 hours to paint a room by himself. It would take Tom 18 hours to paint the same room by himself. Of john and tom work together, each at his individual rate, how many hours will it take the to paint the room.
Answers
Answer:
12 hrs
Step-by-step explanation:
6+18 =24
24/2 = 12
Answer: 4h 30min
Step-by-step explanation: Theoretically, if X= Number of hours required to paint the room,
X(1/6+1/18)=1
X(3/18+1/18)=1
X(4/18)=1
X(2/9)=1
2/9X=1
X=9/2h, or 4 1/2 h
can someone help me please
Answers
Answer:
B
Step-by-step explanation:
It is a complacted exsplanton
Solve for x: 1 < x + 3 < 4
Answers
Answer:
−2<x<1
Step-by-step explanation:
Let's solve your inequality step-by-step.
1<x+3<4
1+−3<x+3+−3<4+−3(Add -3 to all parts)
−2<x<1
Answer: −2<x<1
Hope this helps.
Hannah is designing containers to hold 300 cm3 of juice. Which container is more efficient?
1st container: witdh9.33cm Lenght 3.2cm
2nd container: witdh 20.5cm lenght 6.5cm and on the side 3.25cm
The cylinder has a........A)Smaller surface area B)bigger C)equal
And will cost.....A)Less to produce B)more C)The same
Answers
Answer:
a) 2nd container is more efficient and contains the elements for a container.
b) The cylinder has a........A)Smaller surface area B)bigger C)equal
And will cost.....A)Less to produce B)more C)The same
Step-by-step explanation:
a) The 2nd container has these elements:
Width 20.5cm
Length 6.5cm
side 3.25cm
So, the volume in cubic cm is 20.5 x 6.5 x 3.25 = 433cm3.
This container can hold the 300cm3 of juice.
b) A cylinder is a geometric solid common in everyday life. Examples of a cylinder are soup cans, food tins, drink cans, candles, toilet paper rolls, cups, aerosol cans, flower vases, test tubes, fire extinguishers, plant containers, salt shakers and pencil holders. The two ends are called bases, and are usually circular. Though, they can take other shapes. When a cylinder is unrolled and flattened out, the side is actually a rectangle.
The surface area of a cylinder is the surface area of each end plus the surface area of the side. The mathematical formula is 2π * r2, where π is the pie and r is the radius of the end and r2 is r squared..
1) Tanya is buying edging for a triangular flower garden she plans to build in her backyard. If the lengths of the three pieces of edging that she purchases are 13 feet, 10 feet, and 7 feet, will the flower garden be in the shape of a right triangle ?
Answers
Answer:
The Flower Garden is not in the shape of a right Δ
Step-by-step explanation:
~ To prove that this garden is in the shape of a right triangle, it can be done so through contradiction ~
Pythagorean Theorem is applied to a right triangle, so we can say that the two legs are 10 and 7 feet, the hypotenuse being 13, knowing it is the longest side;
a^2 + b^2 = c^2,
10^2 + 7^2 = 13^2,
100 + 49 = 169,
149 ≠ 169,
So the Flower Garden will not be in the shape of a right Δ
Which measurement would Lan need to know when he buys flooring for his kitch
o width of the kitchen
o height of the kitchen walls
o perimeter of the kitchen
O area of the kitchen
Answers
The function v(r) 4/3 r^3 can be used to find the volume of air inside a basketball given its radius. What does V(r)
represent?
the radius of the basketball when the volume is V
the volume of the basketball when the radius is r
the volume of the basketball when the radius is V
the radius of the basketball when the volume is r
Answers
Answer:
the volume of the basketball when the radius is r
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
on edge took the test