Given the function y = (x - 2)2 graphed below, which restriction of the domain will result in
the inverse being a function?
VIEW IMAGE FOR GRAPH!
A: y = (x - 2)^2 , x ≥ 1
B: y = (x - 2)^2 , x ≥ 2
C: y = (x - 2)^2 , x ≥ 0
D: y = (x - 2)^2 , x ≥ -2
The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
Then the parabolic function is given below.
y = (x - 2)²
The restriction of the domain will result in the inverse being a function given as,
x - 2 ≥ 0
x ≥ 2
The restriction of the domain of the function will be y = (x - 2)², x ≥ 2. Then the correct option is B.
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A jacket is on sale for 15% off. If
the original price is $165, how much
would you save by buying it on sale?
A. $ 15.00
B. $ 24.75
C. $140.25
D. $189.75
E. $247.50
Answer:
$24.75
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 165 × 15/100
Discount = 165 x 0.15
You save = $24.75
Final Price = Original Price - Discount
Final Price = 165 - 24.75
Final Price = $140.25
ANSWER QUICK PLEASE!
Which of the following is NOT an expression?
A. 3x + 4 = 7
B. 6 - i/5
C. x + 8
D. 2x - 3
Answer:
A. 3x + 4 = 7
Step-by-step explanation:
Expressions do not have an equal sign.
Hopefully this helps!
Brainliest please?
Y-(-3y) create an equivalent equation
9514 1404 393
Answer:
4y
Step-by-step explanation:
There are an infinite number of equivalent expressions. One of them can be obtained by combining the terms
y -(-3y) = y +3y = y(1 +3) = 4y
__
All of the expressions shown as equal are equivalent.
Point E is 5 units to the right of point A, point D is 4 units down and 1 unit to the right of point E, point C is 2 units down and 1 unit to the left of point D, point B is 5 units to the left of point C, and point A is 6 units above point B. A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E.
Answer:
There are three answers
Step-by-step explanation:
B is the image of D
B is the image of E
C is the image of D
Answer:
B is the image of D
B is the image of E
C is the image of D
Step-by-step explanation:
A park has a grassy section that covers 2 1/3 acres. Denny mowed half of the grassy section. What is the number of acres that Danny mowed?
Answer:
7/6 (1 1/6)acres
Step-by-step explanation:
The grassy section covers 2 1/3 acres overall. To find half of that, we divide it by two because half of an amount or object is one of the two equal parts that together make up the whole amount or object.
To turn a mixed number (in this case, 2 1/3) into an improper fraction, multiply the whole number with the denominator of the proper fraction.
2*3 = 6Add the numerator to this product to obtain the numerator of the improper fraction.
6 + 1 = 7
so the improper fraction is 7/3
then we multiply that fraction by 1/2 because we are trying to find half of the overall section
7/3 * 1/2 = 7/6
Write the scale without units: 1 in:9 yd
Answer:
1:9
Step-by-step explanation:
that's how you write scale
Need helpppppppppppppppppp
Answer:
Add all the numbers in the data set together, then divide by the number of items in the data set. The result is the median value.
So:
70+61+50+48+45+43+40+39+35+32=x
x÷10=?
10) A community college student interviews everyone in a particular statistics class to
determine the percentage of students that own a car.
A) convenience B) random
C) cluster
D) systematic
E) stratified
Evaluate.
−|a+b|/2−c when a=1 7/8 , b=−1 , and c=−4
Enter your answer as a simplified fraction in the box.
a= 1 7/8 {Given}
b=-1
c=-4
Putting values;[tex] \frac{ - | 1\frac{7}{8} + ( - 1)| }{2} - ( - 4)[/tex]Convert the mixed number to an improper fraction[tex] \frac{ - | \frac{15}{8} + ( - 1) | }{2} - ( - 4)[/tex]When there is a + in front of an expression in parentheses, the expression remains the same&When there is a - in front of an expression in parentheses, change the sign of each term in the expression[tex] \frac{ - | \frac{15}{8} - 1| }{2} + 4[/tex]Calculate the difference[tex] \frac{ - | \frac{7}{8} | }{2} + 4[/tex]The absolute value of any expression is always positive or zero[tex] \frac{ - \frac{7}{8} }{2} + 4[/tex]
Use [tex] \frac{ - a }{b} = \frac{a}{ - b} = - \frac{a}{b} [/tex] to rewrite the fraction[tex] - \frac{ \frac{7}{8} }{2} + 4[/tex]Simplify the complex fraction[tex] - \frac{7}{16} + 4[/tex]Calculate the sum[tex] \frac{57}{16} [/tex]Solved ✔︎An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of -|a + b| / 2 - c when a = [tex]1\frac{7}{8}[/tex], b = -1, and c = -4 in a mixed fraction is [tex]3\frac{9}{16}[/tex].
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
- |a + b| / 2 - c
The value of -|a + b| / 2 - c
when,
a = [tex]1\frac{7}{8}[/tex] = 15/8
b = -1
c = -4
= [- |a + b| / 2 ]- c
= [ - | 15/8 + (-1) | / 2] - (-4)
= [ - | 15/8 - 1 | / 2 ] + 4
= [ - | (15-8)/8 | / 2 ] + 4
= [ - | 7/8 | / 2 ] + 4
= { -7/(8 x 2) ] + 4
= -7/16 + 4
= (-7 + 16x4) / 16
= (-7 + 64) / 16
= 57 / 16
We have to write in a mixed fraction.
= [tex]3\frac{9}{16}[/tex]
Thus,
The value of -|a + b| / 2 - c when a = [tex]1\frac{7}{8}[/tex], b = -1, and c = -4 in a mixed fraction is [tex]3\frac{9}{16}[/tex].
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1.- Write two words that mean addition
Answer:
the two words that means addition are
plus, sum and calculation..............
a plant measures 0.5 in. at the end of week 1 and 14 in. at the end of week 5
Answer:
it is 67.5 inches at the end of week 5
Step-by-step explanation:
the total is 13.5 inches in one week because it started at 0.5 inches then you add 13.5+13.5+13.5+13.5+13.5=67.5
Consider the graph of f(x)=13x−2. How do the graphs of 2f(x), f(x+2), and f(x)+2 compare to the graph of f(x)? Drag tiles to the empty boxes to correctly complete each sentence. The graph of 2f(x) Response area the graph of f(x). The graph of f(x+2) Response area the graph of f(x). The graph of f(x)+2 the graph of f(x).
Using translation concepts, it is found that:
2f(x) is a vertical stretch by a factor of 2 of f(x).f(x + 2) is a shift left of 2 units of f(x).f(x) + 2 is a shift up of 2 units of f(x).What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
As for this problem, we have that:
For 2f(x), f(x) is multiplied by 2, hence it is a vertical stretch by a factor of 2 of f(x).For f(x + 2), x -> x + 2, hence f(x + 2) is a shift left of 2 units of f(x).For f(x) + 2, f(x) -> f(x) + 2, hence it is a shift up of 2 units of f(x).More can be learned about translation concepts at https://brainly.com/question/4521517
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Estimate 53.8-27.6. circle the compatible numbers to substitute
54-28 53-28 55-27 55-25
Answer:
54 - 28
Hope this helps :)
The compatible numbers to substitute is 54 - 28
How to determine the compatible numbers to substituteFrom the question, we have the following parameters that can be used in our computation:
Estimate 53.8 - 27.6
This means that we approximate the numbers in the expression
using the above as a guide, we have the following:
53.8 = 54
27.6 = 28
Hence, the compatible numbers to substitute is 54 - 28
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A line is 4.5” long is divided into 6 equal parts. How long is each part?
Answer:
0.75"
Step-by-step explanation:
4.5÷6
please mark me brainliest
I am super confused about my stats homework. Every time I get the question wrong, it gives me a new set of numbers. Help!
[tex]f(x)=x^{2} -3x-10[/tex]
Answer:
Given
f(x) = 3x + 2
g(x) = (x + 3) / (2x - 10)
#1
g · f(x) =
g(f(x)) =
(3x + 2 + 3)/ (2(3x + 2) - 10) =
(3x + 5) / (6x - 6)
#2
f · g(x) =
f(g(x)) =
3[(3x + 2) / (2x - 10)] + 2 =
(9x + 6) / (2x - 10) + 2 =
(9x + 6 + 4x - 20)/ (2x - 10) =
(13x - 14) / (2x - 10)
Step-by-step explanation:
A moderately active man weighing 175 pounds should consume no more than 687 calories per day from fat sources. If fat contains 9 calories per gram, what is the maximum number of grams of fat he should consume? Give me a whole number or decimal rounded to one decimal place. Thanks! Expert only please.
According to the question, therefore, the maximum number of grams of fat he should consume will be 76.3 grams.
Step-by-step explanation:-Directly divide 687 by 9 as both are fat content. Therefore, by dividing them, we get to know about how grams of fat can be consumed.
✍️ By Benjemin ☺️
-12 is an element of what sets of numbers?
Answer:
real numbers, integers, and rational numbers
Step-by-step explanation:
(2) Below is the graph of a function, y = f (x).
(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)
(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.
Answer:
Step-by-step explanation:
a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.
b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.
The price of a gallon of gas went from $2.34 to $2.99. What is the percent increase?
Answer:
64
Step-by-step explanation:
99-34=64
the two stays the same
A worker makes 220 for 8 hours of work. At this rate, how much does the worker make per hour
Answer:
22.5
Step-by-step explanation:
8hrs=220
1hr=220÷8
1hr=22.5
According to the question,
The worker makes,
[tex]8 \ hours = 220[/tex]then,
Per hour, worker will make,
→ [tex]1 \ hour = \frac{220}{8}[/tex]
By applying division, we get
→ [tex]1 \ hour = 22.5[/tex]
Thus the solution above is appropriate.
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4. k(x) × g(x) × f(x)
[tex]k(x) \times f(x)[/tex]
[tex](2x + 5) \times (x - 1)[/tex]
[tex]2 x(x - 1) + 5(x - 1)[/tex]
[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]
[tex] {2x}^{2} - 3x - 5[/tex]
________________________________
[tex]k(x) \times g(x) \times f(x)[/tex]
[tex]g(x) \times (k(x) \times f(x))[/tex]
[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]
[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]
[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]
thankyousm!! please help me
Which of the functions below could have created this graph?
A. F(x) = x2 + x2+x+1
B. F(x)= x2 +5
F*+6
c. - *-+*
(-)y-
D
Answer:
only D is negative on the leading term
Dịch các câu sau đây thành các biểu thức logic bằng cách sử dụng các vị từ, lượng từ và các liên từ: a) Không có ai là hoàn hảo h) Không phải mọi ngươi đều hoàn hảo c) Tất cả các bạn của bạn là hoàn hảo. d) Một trong sỐ các bạn của bạn là hoàn hảo. e) Mọi người đều là bạn của bạn và đều hoàn hảo. ) Không phải mọi người đều là bạn của bạn hoặc có ai đó không hoàn hảo.
Answer:
that's alot but no english speak english it is long
Ethan is cutting a 36-inch sub into slices that are
2- inches thick. How many slices will he cut?
Answer:
He can cut 18 slices!
Step-by-step explanation:
Answer:
18
Step-by-step
ive learned this before
the square below represents one whole. Express the shaded area as a fraction, a decimal, and a percent of the whole
Answer:
fraction: 62/100=31/50
decimal: 0.62
percentage: 62%
Step-by-step explanation:
Hi hope you’re have a great day can I get some help please
Answer:
the function is odd
Step-by-step explanation:
functions that are symmetric with respect to the y axis are even functions
functions that are symmetric with respect to the origin (the 0,0 point) are odd functions (which means that if you flipped it 180 degrees it will still look the same)
have a nice day!
Use graphing technology to find the range of the function
f(x) = –x^2 – 10x – 27