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
Answers
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.
More about the function link is given below.
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Related Questions
Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hours
Please just write the equation out.
Answers
Let x be the tips
Let t be Thomas
Let m be Marie’s pay
t=4h+x
(plug in 120 for x)
t=4h+120
——————————————
m=12h
(They made same amount of money working the same amount of hours)
4h+120=12h
120=8h
How many hours did they both work? :)
Please help me I need to pass math
Answers
Answer:
it is the 3rd option because with negatives it is flipped.
Step-by-step explanation
-6/8 is actuall -.625
-3/5 is -.6
-7/13 is .538...
At a little-known vacation spot, taxi fares are a bargain. A 28-mile taxi ride takes 42 minutes and costs $16.80. You want to find the cost of a 50-mile taxi ride. What unit price do you need?
Answers
Answer:
Unit Cost = 0.6
Cost for 50 mile taxi ride = $30
Step-by-step explanation:
We are given the following information in the question:
Length of taxi ride = 28 miles
Time taken by taxi ride = 42 minutes
Cost of taxi ride = $16.80
We have to find cost of a 50 mile ride.
In order to do so, we have to find the unit cost of distance covered by ride which is the unit cost per mile of the ride that is the cost for 1 mile of taxi ride.
Our Formula:
Unit Cost = Cost for 1 mile of taxi ride = cost of taxi ride / distance covered by taxi ride
Using the values given we can use the formula so
unit cost = 16.80 / 28 = 0.6
Cost of 50 mile taxi ride
0.6 x 50 = 30
Henc costing $30 for a 50 mile taxi ride
The ABC manufacturing firm, the average withdrawal rate for product A is 20
cartons per day, safety stock is 5 days, order lead time is 10 days, and the
order quantity is 45 days.
Requirement: What are the maximum and average quantities of unit loads to be
stored? (Please help me solve this exercise in detail about the requirements of the question)
Answers
???????????????????????
Step-by-step explanation:
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Answer:
Answer:J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ
Explanation:J is between H and K. If HJ=6x-5, JK=4x-6 and KH= 129, find the value of HJ
Step-by-step explanation:
mark me as the brainliest
A vehicle covers 792 km in 11 liters of petrol . How much distance would it cover in 30 litres of petrol
Answers
Answer: 2160 km
Step-by-step explanation:
Simple Proportion
11 liters -> 792km
1 liter -> 792/11 =72 km
30 liters -> 30*72 = 2160km
Answer:
30 liters -> 30*72 = 2160km
Step-by-step explanation:
30 liters -> 30*72 = 2160km
maek as brain list
Raul is buying ties and he wants to spend $200 or less on his purchase. The ties he likes the best cost $50. How many ties,t, could he purchase?
Answers
Using inequalities, the number of tiles he could buy is equals to 4 or less than 4.
How to find number of tiles using inequalities?He is buying tiles and he wants to spend $200 or less on his purchase.
The ties he likes the best cost $50.
Therefore, the situation will form an inequalities as follows;
let
t = number of tiles
50t ≤ 200
t ≤ 200 / 50
t ≤ 4
The the number of tiles he could buy is equals to 4 or less than 4.
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7x + 10x + 20 = what
Answers
Answer:
the answer is 17x+20
Step-by-step explanation:
7x+10x+20
17x+20
hope it helps
mark me brainliest pls
Answer:
17x+20
Step-by-step explanation:
like terms= 7x and 10x so add= 17x
unlike term 20 it remains as it is.
so 17x+20 further cannot be simplified as both are unlike terms
Evaluate.
0
-1.02 · (-4)
Enter your answer in the box.
Answers
Answer:
4.08
Step-by-step explanation:
the negatives cancel each other out therefore 1.02*4= 4.08
When we Evaluate. [tex]0 / -1 * 0^2 * -4[/tex] the values is 0. To evaluate the expression, follow the order of operations (PEMDAS/BODMAS):
P - Parentheses/Brackets
E - Exponents/Orders
MD - Multiplication and Division (from left to right)
AS - Addition and Subtraction (from left to right)
The expression is: [tex]0 / -1 * 0^2 * -4[/tex]
Step 1: Exponents/Orders
0^2 = 0 (Any number raised to the power of 0 is always 0).
Step 2: Division
0 / -1 = 0 (Any number divided by 0 is undefined, but in this case, it would be 0).
Step 3: Multiplication : 0 * 0 * -4 = 0
So, the final answer is 0.
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Correct Question is:
Evaluate. 0 / -1 * 0^2 * -4
Answer pls I don’t know.
Answers
Answer:
x < -5
Step-by-step explanation:
We have that The solution set for -the inequality 4x+10≥5x+55 is mathematically given as
From the question we are told
What is the solution set for -4x+10≥5x+55
Generally the equation for the Inequality is mathematically given as
Therefore
-4x + 10>5+55
-9x > 45
x < -5
The solution set for -the inequality 4x+10≥5x+55 is mathematically given as
Answer:
C
Step-by-step explanation:
1. subtract 5x on both sides
-9x+10>55
2. subtract 10 on both sides
-9x>45
3. divide both sides by 9
x<-5
(sorry I didn't have the less than or equal to & more than or equal to sign
: 11 = 1 /3 : 6
plz help
Answers
[tex]x:11 = \frac{1}{3} :6[/tex]
Divide the numbers[tex] \frac{x}{11} = \frac{ \frac{1}{3} }{6} \\ \frac{x}{11} = \frac{1}{18} [/tex]
Multiply all terms by the same value to eliminate fraction denominators[tex]11 \times \frac{x}{11} = 11 \times \frac{1}{18} [/tex]
Cancel multiplied terms that are in the denominator[tex]x = 11 \times \frac{1}{18} [/tex]
Multiply the numbers[tex]x = \frac{11}{18} [/tex]
Solved ✔︎Sara says, "If you subtract 12 from my number and multiply the difference by - 3, the result is
- 45." What is Sara's number?
Answers
Answer:
3
Step-by-step explanation:
Answer:
[tex]27[/tex]
Step-by-step explanation:
Let Sara's number be [tex]x[/tex]. Now, we can build an equation.
We have that [tex]-3(x-12)=-45[/tex]. Aha! Now we have a path to the solution!
We can divide both sides of the equation by [tex]-3[/tex] to get [tex]x-12=15[/tex].
Lastly, we add [tex]12[/tex] to both sides to get [tex]x=27[/tex].
So, Sara's number is [tex]\boxed{27}[/tex].
Il
Topic: Parallel and Perpendicular Lines
Which of the following pairs of lines are perpendicular?
Select all that apply.
A. y = 3x + 4 and y Ź x – 8
B.y = x 8 and y= -x –
C. y = x + 2 and y
-x+3
D.y = 3x + 2 and y = 3x - 2
E.y=3 and x = 4
F. y = x 8 and y = -x + 3
Answers
Answer:
Step-by-step explanation:
If slope of two lines are equal, then they are parallel lines.
If product of the slope of two lines is (-1), then they are perpendicular lines.
C) y = x + 2
Slope m1 = 1
y = -x + 3
Slope m2 = -1
m1 * m2 = 1 * (-1) = -1
These are perpendicular lines.
D) y = 3x + 2
Slope = m1 = 3
y = 3x - 2
Slope = m2 = 3
Slopes are equal. So, they are parallel lines.
E)y= 3
This line is parallel to x -axis.
x = 4
This line is parallel to y-axis.
So, both lines are perpendicular to each other.
F) y = x + 8
slope m1 = 1
y = -x + 3
Slope = m2 = -1
M1 * m2 = 1 * (-1) = -1
So, These are perpendicular lines
help-
i dont remember how to do this or what the answer would be
Answers
Answer:
I'm no 100% sure but,
A triangle is 360⁰
So 65 +47 =112
180-112=68
two opposite angles are always equall so
x=68⁰
Sorry if I'm wrong!
please help, there is a picture
Answers
The answer us c I took that test too
Step-by-step explanation:
C
Answer:
y= 15/x
Step-by-step explanation:
HELP PLEASE!!Which lines in the graph have a slope greater than 1 but less than 2?
у
9
7
1
2.
3
5
6 5
ch
5
3
2
8
3
8
line 1
line 2
line 3
line 4
lines
Answers
Answer:
Line 3 and 4
Step-by-step explanation:
Plato
The tape diagram represents the ratio of the time you spend tutoring to the time your friend spends tutoring. You tutor for 3 hours. How many hours does your friend spend tutoring?
You
Friend
Answers
Answer:
15 Hours
Step-by-step explanation:
So you have one block, and your friend has two.
We know that you work for 3 hours, this means that your only block must represent 3 hours.
And all the blocks represent the same amount of time, then each one of the two blocks of your friend also represents 3 hours.
Then in total, he tutored for 3 hours + 3 hours = 6 hours.
Therefore, you still have only one block, but now your friend has 5.
Using the same reasoning as above, we can conclude that each block represents 3 hours, and your friend has 5 of them, this means that he tutored for:
5*3 hours = 15 hours
Help me ASAP pleasee!!!!!
Answers
Answer:
umm i think itz 16
Step-by-step explanation:
fycfyuyvt6vb
Answer:
X would be 16 since
x= 8
------
cos(8)
OLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answers
Answer:
$8,704
Step-by-step explanation:
explain how to calculate a unit rate such as 300 miles per hour 4 hour
i need help I'm kind of stuck
Answers
Answer:
75
Step-by-step explanation:
divide 4 by 300 and then you will get the answer of 75. I'm so sorry if this is wrong
Evaluate.
(1/5+1/2)^2+3/10⋅5
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answers
Answer:
1/5+1/2²+3/10•5=1/7²+15/100
The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
(1/5+1/2)^2+3/10⋅5
⇒ (1/5+1/2)²+ 15/10
Take LCM in the bracket as 10
⇒ [(2 + 5)/10]² + 15/10
⇒ (7/10)² + 15/10
⇒ 49/100 + 15/10
Take LCM as 100
⇒ (49 + 150)/100 = 199/100
⇒ 1 99/100
Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".
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translate this into an equation, use n for the number: "the different of 3 times a number and 6 is twice the number."
Answers
Answer:
6
Step-by-step explanation:
6 * 3 = 18
18 - 6 = 12
12 is twice of 6, the number
Three cell phone towers form a triangle,
APQR. The measure of ZQ is 10° less than the measure of ZP. The measure of ZR
is 5° greater than the measure of ZQ. Which two towers are closest together?
Answers
Answer:
answer mga dalog points
Step-by-step explanation:
mga Gago mga mini o
unsa Pana dha
mga hangol og points answer na
Solve for x: 1 < x + 3 < 4
4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1
100 points!!!
Answers
Answer:
Solve for x: x < 1
Step-by-step explanation:
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What is 504,622 + 715,336?
Answers
Answer:
1,219,958
Step-by-step explanation: You add 2+6=8 + 10+3=13 + 19+3=22 + 26+5=31 + 31+1=32 + 5+7=13, add them all and its equal to 1,219,958.
It currently takes users a mean of 25 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 25 minutes so that they can change their advertising accordingly. A simple random sample of 51 new customers are asked to time how long it takes for them to install the software. The sample mean is 26.2 minutes with a variance of 16 minutes. Perform a hypothesis test at the 0.01 level of significance to see if the mean installation time has changed. What kind of problem is this
Answers
Testing the hypothesis in this problem which is a two-tailed test, we can conclude that there is not sufficient evidence to conclude that the mean time of installation has changed, since the p-value of the test is 0.0364 > 0.01,
At the null hypothesis, we test if the mean is of 25 minutes, that is:
[tex]H_0: \mu = 25[/tex]
At the alternative hypothesis, we test if the mean has changed, that is, if it is different than 25 minutes.
[tex]H_1: \mu \neq 25[/tex]
We have the standard deviation for the sample, thus, the t-distribution is used. The value of the test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which:
X is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem:
25 is tested at the null hypothesis, thus [tex]\mu = 25[/tex].Sample mean of 26.2 minutes, thus [tex]X = 26.2[/tex].Sample of 51, thus [tex]n = 51[/tex].Variance of 16, thus [tex]s = \sqrt{16} = 4[/tex].The value of the test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{26.2 - 25}{\frac{4}{\sqrt{51}}}[/tex]
[tex]t = 2.14[/tex]
The p-value of the test is found using a two-tailed test(test if the mean is different of a value), with t = 2.14 and 50 degrees of freedom.Using a t-distribution calculator, this p-value is of 0.0364.Since the p-value of the test is 0.0364 > 0.01, there is not sufficient evidence to conclude that the mean time of installation has changed.
A similar problem is given at https://brainly.com/question/23777908
Factor the trinomial
X^2+7x+10
Answers
Answer:
(x+2)(x+5)
Step-by-step explanation:
If a fair coin is tossed twice the possible outcomes are HH, HT, TH or TT, where HH means both tosses are heads and HT means that the first toss is a head and the second toss is a tail, etc. Since the coin is fair, a 50-50 chance of getting a head or a tail, we assign a probability of 1/4 to each of the four outcomes. Assuming that a fair coin was tossed twice, find the probability that both tosses were heads given that at least one of the tosses was a head. Round your answer to 4 decimal places.
Answers
The conditional probability value rounded to 4 decimal places is : 0.2500
The relation can be used to find the conditional probability of events given :
P(HH | Atleast 1 head) = P(HHn(Atleast 1 H)) / P(Atleast 1 H)
P(Atleast 1 H) = P(HT + TH + HH)
P(Atleast 1 H) = P(HT + TH + HH) = 3(0.25) = 0.75
P(HHn(Atleast 1 H)) = P(HH) × P(Atleast 1 H) = 0.25 × 0.75 = 0.1875
Therefore, the conditional probability can be expressed as :
P(HH | Atleast 1 head) = 0.1875 / 0.75 = 0.25Therefore, P(HH | Atleast 1 head) is 0.25
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El cuadrado de un número es igual a 140 + 4
Answers
Answer:
12
Step-by-step explanation:
140 + 4 = 144
raíz cuadrada de 144 es 12
Solve using a proportion.
Answers
Answer:
i cant see it
Step-by-step explanation:
For every foot it needs to be 12 ft. So 1 3/4 is 1 foot and 9 inches. Cause we have the whole number which is 1 and 3/4. 3/4 isn’t a whole number it’s a fraction of 12. 1/4 if 12 is 3 cause 12 split into 4 parts is 3. Now we have 3/4 which is 3 of the 1/4ths. We said 1/4 is 3 and if we have three then we multiply 3 x 3 and get 9.
So
1 ft 9 in
But it says to round to the nearest integer so 1 turns to 2.
Hope this helps
The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
Answers
Answer:
0.45 miles per minute
Step by Step Explanation:
Look at the units: miles per hour is miles/hour
If we multiply
miles hour miles
----- * ------- = ---------
hour minute minute
(27 miles/hour)(1/60 hours/minute) = 27/60
= 9/20 = 0.45 miles per minute