Answer:
The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2
Step-by-step explanation:
The functions given to us is:
f(x) = 3(x - 1)² + 2
Domain:
As there is no limitation of x, all value of x are possible. So
Domain = All real numbers
Range:
For all values of x, the minimum value of y is 2 calculated at x = 1. The rest of the values are greater than 2. So,
Range = y ≥ 2
Vertex:
Simplifying the function:
f(x) = 3(x² + 1² - 2(x)(1)) + 2
f(x) = 3(x² - 2x + 1) +2
f(x) = 3x² - 6x + 3 + 2
f(x) = 3x² - 6x + 5 (ax² + bx + c)
where a = 3, b = -6, c = 5
x-coordinate of Vertex is given as:
Vertex(x) = -b/2a = 6/2(3)
Vertex(x) = 1
Substitute x=1 in the function, we get
Vertex(y) = 2
So Vertex is at (1,2)
Answer: A. The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
I just took the test and A. is the correct answer!
Good Luck!!
-Aspyn
Write 3/10 as a division
Answer:
3 divided by 10.
Step-by-step explanation:
I'm slightly confused as to what you're asking about, but I could only assume that you want me to represent that fraction as a division problem. In that case, I have listed the answer above. If you want it in decimal form, it is 0.3.
Answer:
I hope u get what ur looking for and I wish u give me brainlist But I know u won't cuz everyone say that . But thank you so much if u put for me and It would be a very appreciated from you and again thank you so much
If h(x) is the inverse of f(x), what is the value of h(f(x))?
N
0
х
f(x)
Answer:
If f and h are inverses, then:
f (h(x) ) = x and also
h( f(x) ) = x
Step-by-step explanation:
Inverse function: The function f(x) goes from domain to range and the inverse function f^{-1} goes from Range to domain
Option C is correct
I would appreciate it if you marked me brainliest :)
Can someone please help me
This Is A Linear Graph Because Quadratic Graphs Are Curved
If the cosine value is 80*, the secant value to the hundredths degree is: 0.98 0.17 5.76
Work Shown:
sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76
Make sure your calculator is in degree mode.
Which statements are true when using algebra tiles to solve the equation 8x + (–4) = 11x + 5? Check all that apply.
Answer:A D and E
Step-by-step explanation:
Answer:
Step-by-step explanation:
A, D, and E.
What is the definition of the cosine ratio of an acute angle of a triangle?
opposide side / hypotenuse
adjacent side / opposite side
opposite side / adjacent side
adjacent side / hypotenuse
Answer:
I think the answer is the last one
adjacent side / hypotenuse
does 4 1/2 times 2 3/4 equal 11 11/48?
4 1/2 times 2 3/4 does not equals to 11 11/48.
It actually equals to 12 3/8
hope it helps
Good luck on your assignment
Answer:
No,it's wrongThe correct answer is
[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]
Step-by-step explanation:
[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
The volume of a stack of identical circular drink coasters, each 1 centimeter thick, can be found using the function V(r)=8pi r^2 where r is the radius of a coaster. What does the constant 8 in the function represent?
Answer:
The constant 8 represents the height of the stack and hence the number of coasters. (It represents the number of coasters.)
Step-by-step explanation:
The formula for finding the volume of a cylinder is
V = πr²h
If you we take π =3.14 and h = 1 cm, as given in the question, then we can rewrite the formula for the volume of one coaster as
V = 3.14 * r²
But the formula in this question is
V(r) = 8*3.14 * r² so this means that there are 8 coasters here hence the formula for one coaster being multiplied by 8.
Find the x-intercept and y-intercept
from the following linear equation:
6x – 9y = 54
x - intercept ([?], [])
y - intercept ([],[])
Answer:
X=(9,0)
Y=(0,-6)
How many days are in 6 weeks not including weekends ?
Answer:
30 days
Step-by-step explanation:
There are 6 * 7 = 42 days in 6 weeks.
There are 2 * 6 = 12 weekends in 6 weeks.
42 - 12 = 30
Answer:
30 days
Step-by-step explanation:
Think about the challenges facing the peace
process. Which of these problems threatened
Wilson's point?
Germany continued to attack American
shipping on the oceans.
The Allies were already making secret
alliances and plans.
The other heads of state refused to meet with
Wilson.
Answer:The allies were already...
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
Express 72×12 in the exponential from
Answer:
72*12 = 2*2*2*2*2*3*3*3 = 2^5*3^3 this is the answer to the equation to express 72×12
Answer:
Step-by-step explanation:
Noah says:
I am thinking of a number,
When I subtract 17 and
multiply the answer by
8, I get 32.
What is Noah's number?
Answer:
21
Step-by-step explanation:
You subtract 17 (x - 17) and multiply the answer by 8 (8(x - 17)). This is equal to 32. Solve for x
8(x - 17) = 32
8x - 136 = 32
8x = 168
x = 21
HELP!! WILL GIVE BRAINLIEST! EASY!!
Answer:
Option 2
Step-by-step explanation:
Mid point theorem:
The line segment joining the mid point of two sides of a triangle, is parallel to the third sides and this line segment is half the length of the third side
Amelia rented a DVD and it was due to be returned on the 26 November she acctually returned it to the shop on the 12 December. The rental shop applies a fine of 9p for everyday the DVD is overdue
Answer:
144 p
Step-by-step explanation:
It was due to be returned on 26 November but she returned it on 12 December.
She was therefore with it for an extra 16 days.
The fine is 9p per day. Therefore, she will pay a fine of:
9 * 16 = 144 p
Answer:
Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.
Work out the total fine paid by Amelia. Give your answer in £
If f(x) = 5x + 40, what is f(x) when x = -5?
N
ܩ ܣ
15
Answer:
15
Step-by-step explanation:
f(x)=5x+40
so f(5)=5(-5)+40
f(5)= -25+40
f(5)=15
Which strategy may enable you to earn an associate's degree while you are
still in high school?
O A. Taking dual enrollment courses
B. Taking AP courses
C. Enrolling in extracurricular activities
O D. Passing the ACT exam
Help ‼️
Given the graph below, which of the following statements is true?
Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .
Find x.
Explain how to find x using trigonometry
Explain how to find x using special right triangles.
Answer:
6
Step-by-step explanation:
[tex] \cos \: 60 \degree = \frac{3}{x} \\ \\ \frac{1}{2} = \frac{3}{x} \\ \\x = 2 \times 3 \\ \\ x = 6[/tex]
Which phrase bost describes the translation from the graph y=(x+2)^2 to the graph of
y=x^2 + 3?
Answer:
C
Step-by-step explanation:
2 units right and 3 units up
Find the distance between the pair of points: (0,-8) and (0,4)
Answer:
12 units
Step-by-step explanation:
distance formula
PLSS HELP SOON Is the sequence arithmetic? (Yes or no) If yes, please also give its common difference. 14) -2.8, -2.2, -1.6, -1.0
Answer:
The sequence is an arithmetic sequence.
Common difference = 0.6
Step-by-step explanation:
Given
-2.8, -2.2, -1.6, -1.0
Required
State if it's an arithmetic progression
Also state its common difference
To know if a sequence is arithmetic or not, we simply check for common difference
Common difference is calculated by subtracting a lower term with its immediate higher time;
In other words
[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]
Where T represent Term and the number represent their positions;
So, from the given above
[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]
Calculating [tex]T_2 - T_1[/tex]
[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]
Calculating [tex]T_3 - T_2[/tex]
[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]
Calculating [tex]T_4 - T_3[/tex]
[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]
Notice that all the above workings gave the same result;
This shows that the sequence is an arithmetic sequence.
The result of each workings above is the common difference
Common difference = 0.6
please helppppppppppppppp fine x its high school geometry
Write 0.03 as percents.
Answer:
3%
Step-by-step explanation:
Just move the decimal 2 spaces to the right .03 becomes 3% :)
What steps should be taken to calculate the volume of the prism? Select three options.
24 ft
6 ft
oft
ft
Use the formula A = bh to find the area of the base.
Use the formula A= bh to find the area of the base.
Use the formula V=Bn to find the volume of the prism.
Answer:
the formula is V=BH
Step-by-step explanation:
if the prism is rectangular prism : it has three dimensions then V=length * height * width
V= L*H*W or V= base*H
or V=BH
in your question it does not show V=BH maybe it is misprint
The volume of the prism is V = Bh , where B is the base area and h is the height of the prism
What is the volume of a prism?A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.
The volume of a prism is the product of its base area and height
Volume of Prism = B x h
where B = base area of prism
h = height of prism
Given data ,
Identify the shape of the base of the prism: The base of the prism can be any polygon, such as a triangle, rectangle, or hexagon. It is important to identify the shape of the base because the formula for calculating the area of the base will depend on the shape.
Calculate the area of the base: Once the shape of the base has been identified, calculate the area of the base using the appropriate formula. For example, if the base is a rectangle, the area would be calculated as length x width.
Multiply the area of the base by the height of the prism: Once the area of the base has been calculated, multiply it by the height of the prism to get the volume. The height is the perpendicular distance between the two parallel bases of the prism.
Hence , by following these three steps, you can calculate the volume of a prism regardless of its shape, as long as you can identify the shape of the base and calculate its area.
To learn more about volume of prism click :
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If f(x) = x2 − 81 and g(x) = x+9/x-9, find g(x) · f(x).
Answer:
f(x) = x² - 81 = ( x+ 9)(x - 9) Difference of two squares
g(x) = x+9/x-9
g(x) . f(x) = x + 9/ x - 9 × (x+9)(x - 9)
= ( x + 9)(x +9)
= ( x + 9)²
= x² + 18x + 81
Hope this helps.
2. Solve this problem: There will be 460 people at the sport's award banquet. If each table seats 8 people, how many tables are needed?
A. 3,680 tables
B. 57 tables
C. 58 tables
D. 452 tables
Answer:
C. 58 tables
Step-by-step explanation:
If there are 460 people, and each table seats 8 people, then we divide 460 by 8, giving us 57.5 tables. We cannot have a half of a table, so the answer is 58 tables.
Solve for x. answers: A) 4 B) 6 C) 7 D) 5
Answer:
D) 5
Step-by-step explanation:
The smaller triangle is similar to the big triangle with the big triangle with a scale factor of 1.8.
5x × 1.8 = 45
Divide both sides by 1.8
5x = 25
Divide both sides by 5
x = 5
Solve log x= 3.
x=3
x= 30
x= 1,000
x= 10,000
The value of x must be equal to 1000
What is the logarithmic function?In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as
For x > 0 , a > 0, and a ≠1,
y= logₐ x if and only if x = a^y
Then the function is given by
f(x) = logₐx
Given here log x= 3 ⇒x=10³
⇒x=1000
Hence, The value of x must be equal to 1000
Learn more about the logarithmic function here:
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Given f(x)=-x+6 and g(x) =f(x+3), write an equation for function g.
Answer:
G(x)=-(x+3)+6
Step-by-step explanation:
f(x) means that whatevers in the parentheses is x. In g(x) x is equal to x+3