Answers
Answer:
[tex] \large \boxed{ \boxed{ \tt x \geqslant 2 \: \: is \: \: the \: \: domain \: \: of \: \: function}}[/tex]
Step-by-step explanation:
We are given the square root function below:
[tex] \large{g(x) = \sqrt{x - 2} }[/tex]
Recall that domain is the set of all x-values and that a number inside the square root cannot be negative.
From the given square root function above, substituting x >= 2 gives a positive output. But if we substitute x < 2, evaluating the numbers inside result in negative number in the square root which does not exist in Real Number.
Hence,
[tex] \large{y = \sqrt{x - a} }[/tex]
And thus, the domain is
[tex] \large \boxed{x \geqslant a}[/tex]
Since if x < a, the output would become an imaginary number.
From the given function,
[tex] \large{g(x) = \sqrt{x - 2} }[/tex]
From the form of sqrt(x-a) where domain is a-term which is 2.
Since a = 2, and thus
[tex] \large \boxed{x \geqslant 2}[/tex]
Related Questions
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Algebra 2
> Q.2 Translations of functions F6J
Find g(x), where g(x) is the translation 6 units right of f(x) = x.
Write your answer in the form mx + b, where m and b are integers.
g(x) =
=
Answers
Answer:
y= (x-6) be sure to include the parenthesis or it will be incorrect
Step-by-step explanation:
90%in the SIMPLEST form
Answers
Answer:
[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]
Answer:
The simplest form of
90/100
is
9/10
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 90 and 100 is 10
Divide both the numerator and denominator by the GCD
90 ÷ 10
100 ÷ 10
Reduced fraction:
9
10
Therefore, 90/100 simplified to lowest terms is 9/10.
The volume of a gas held at constant temperature varies inversely with the pressure of the gas. If the volume of the gas is 1200 cubic centimeters then the pressure is 200 millimeters of mercury, what is the volume when the pressure is 800 ml?
Answers
Answer:
300
Step-by-step explanation:
The volume of the gas varies inversely as the pressure
V= k/p
K= VP
= 1200×200
= 240,000
Therefore the volume when the pressure is 800
K= VP
240000= V×800
V= 240000/800
= 300
Hence the volume is 300 cubic centimeters
Solve the inequality 4(x – 3) – 7 < 2(x – 3).
Answers
Answer:
{x}\lt\frac{{13}}{{2}}
Step-by-step explanation:
Answer:
x < 13/2
Step-by-step explanation:
4(x-3) -7: 4x - 19
4x - 19 < 2x-6
4x - 19 + 19 < 2x - 6 + 19
4x < 2x + 13
4x - 2x < 2x + 13 - 2x
2x < 13
2x/2 < 13/2
x < 13/2
dèez nuts in your mouth lol
Answers
Answer:
free
Step-by-step explanation:
points .-.
A veterinarian asked each of her 18 patrons if they have a dog. She also asked each patron if they have a
cat. The Venn diagram below shows the data she collected.
Complete the following two-way frequency table.
Have a cat
Do not have a cat
Have a dog
Do not have a dog
Have a dog
Have a cat
5
7
6
0
Answers
Answer:
Have a cat Do not have cat
Have a dog 7 5
Do not have a dog 6 0
Step-by-step explanation:
Have a cat Do not have a cat
Have a dog 7 5
Do not have a dog 6 0
How to fill the two-way frequency table?The interesection of the two circles represents the number of patrons that have both dogs and cats. The number in the circle that represents the number of people that have dogs only is 5 and the number in the circle that represents the number of people that have cats only is 6.
To learn more about sets, please check: https://brainly.com/question/13192210
The perimeter of a rectangular field is 344m . If the length of the field is 93m , what is its width?
Answers
Answer:
width is 79 m
Step-by-step explanation:
P = 2l + 2w
344 = 2(93) + 2w
344 = 186 + 2w
158 = 2w
w = 158/2
w = 79
Can y’all help me solve for K ?!
Answers
Answer:
Step-by-step explanation:
K+4 = 11;
k = 7
Answer:
B is true
Step-by-step explanation:
so use k+4=11 to solve that k+7
Angle A terminates in the fourth quadrant with cosA= 4/5. The exact value of A is?
Answers
Answer:
324.13°
Step-by-step explanation:
Applying,
cosA = 4/5
To find the value of A, we find the inverse of the cosine of both side,
(cosA)cos⁻¹ = cos⁻¹(4/5)
A = cos⁻¹(0.8)
A = 36.87° (First quadrant)
The above value of A is its value in the first quadrant
To find the value of A in the fourth quadrant, we use the expression
∅₄ = 360-∅₁............... Equation 1
Where ∅₄= value of A in the fourth quadrant, ∅₁ = value of A in the first quadrant.
Therefore,
∅₄ = 360-36.87
∅₄ = 324.13°
Hence the value of A in the fourth quadrant is 324.13°
If you don't do a foreign language class in middle school, in high school will one be given to you? Is it a necessity?
Answers
GOTTA GRIND ON THIS SITE TO GET YOUR QUESTIONS ANSWERED!
Answers
Answer:
-8 or -5
Step-by-step explanation:
Evaluate 3(x + y) for x = 2 and y = 7 show work.
Answers
Answer:
[see below]
Step-by-step explanation:
[tex]3(x+y)\\\\3(2+7)\\\\3(9)\\\\\boxed{27}[/tex]
Hope this helps!
Answer:
27
Step-by-step explanation:
plug in what = x and y in the parenthisis
so that would be 3(2+7)
you do what is in the parentheisis first 2+7= 9
then you multiply 3*9= 27
40 POINTS IF YOU ANSWER CORRECTLY!
PLEASE HELP
Solve for Y and give me the three major trig ratios for theta
SHOW YOUR WORK
Thank you!
Answers
Answer:
Step-by-step explanation:
y is 15.49
Formula is b = √c^2-a^2
You could use sine [ opposite/hypotenuse ],
Cosine [adjacent/hypotenuse]
or Tangent [ opposite/adjacent ]
to find theta
Theta is 75.522
I need help please!!
Answers
Answer:
20
Step-by-step explanation:
6×2=12 + 8 = 20
so you answer for number 3 is twenty
I need help with these too if you help me and graph and tell it how did you get the answer I will give you 20 points.
Answers
Answer:
I only know number 11 sorry :(
11. (Image attached)
Step-by-step explanation:
First, I would find the y intercept, which is 4. Next I found the slope of -3 by finding the rise of -3 (3 to left), then the run (1 up).
---------------------------------------------------------------------------------------------------------------
Have a good day :)
How can the manager use the data in the dot plot to improve the airline?
Answers
Answer:
The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.
Step-by-step explanation:
the answer that is given on edmentum
Question 54
Jonathan wants to fence off a rectangular area for his dog. He has 24 metres of fencin
he wants the largest possible area what should the dimensions of the fenced off area be
Answers
Answer:
6 + 6 + 6 + 6= 24
Step-by-step explanation:
ad four sixes
a square has one side that is 8 inches long. what is the area of the square
Answers
Answer:
64 inches sq
hope this helps
have a good day :)
Step-by-step explanation:
HELP DUE IN 15 MINS!
Write the equation of a circle that has a center of (-3, 4) and goes through the point (2, 1).
Answers
Answer:
Step-by-step explanation:
You can find the left side of the equation for a circle easily enough. It's r^2 that's the problem. It is on the right.
Left Side
(x + 3)^2 + (y - 4)^2 = r^2
Right Side.
x1 = - 3
x2 = 2
y1 = 4
y2 = 1
Use the distance formula to get r^2
r^2 = (x2 - x1)^2 + (y2 - y1)^2
r^2 = (2 - - 3)^2 + (1 - 4)^2
r^2 = 5^2 + (-3)^2
r^2 = 25 + 9
r^2 = 34
Answer
(x + 3)^2 + (y - 4)^2 = 34
HELP PLEASE THESE ARE DUE TODAY
Answers
Given that n(A) = 12, n(B) = 7
and n(AUB) = 10
Find n(AnB)
Pls show working
Answers
Answer:
n(A) + n(B) - n(AnB) = n(AUB)
12 + 7 - n(AnB) = 10
19 - n(AnB) = 10
19 - 10 = n(AnB)
n(AnB) = 9
Step-by-step explanation:
Step-by-step explanation:
n(A)=12
n(B)=7
n(AUB)=10
n(AnB)=?
let,n(AnB) be x
We know that,
or, n(AUB) = n(A)+n(B)-n(AUB)
or, 10 =12+7+x
or, 10 =19+x
or, 10-19=x
or,9=x
so, the value of x is 9
then (AnB)=9
The circumference of a circle is 6.28 meters. What is the circle's radius?
C = 6.28 m
Answers
When 3 is subtracted from one third of a number n, the result is less than 6. Which inequality and solution represent this situation?
Answers
Answer:
1/3n-3÷6
Step-by-step explanation:
3 is subtraced form 1/3
Answer:
n < 27
Step-by-step explanation:
1/3n - 3
1/3n - 3 < 6
Add 3 to each side.
1/3n - 3 + 3 < 6 + 3
Combine like terms.
1/3n < 9
Divide each side by 1/3.
1/3n ÷ 1/3 < 9 ÷ 1/3
Combine like terms.
n < 27
What is 25% of 40? OА. 10 O B. 15 O C. 20 OD. 25
Answers
Answer:
10 Sorry if wrong!
Step-by-step explanation:
40×0.25=10
Answer:
25/100 x 40 = 10
Step-by-step explanation:
The keyword 'of' means multiplication
Consider a percent out of 100, a way to remember is that the root word 'cent' means 100.
✰ ☆
(Only if you are right obviously)
Which beliefs do most Christians hold
A. there are many different gods
B. non-jews cannot become Christians
C. Jesus was the son of God
D. Christians should not perform rituals
Answers
If the sales tax rate is 7.6%.how much sales tax will you pay on 330
item
Answers
Answer:
25.08
Step-by-step explanation:
330 x .076=25.08
I have a question what is 3/4 × 4/5?
Answers
Answer:
3/5
Step-by-step explanation:
Because if you take 3/4 x 4/5 you can cross simplify the 4's in the equation and they cancel eachother out, so then u are left off with 3/1 x 1/5 and then you get 3/5
What is the height h of the flagpole in meters?
A. 10m
B. 12m
C. 18m
D. 20m
Answers
Simplify each expression
Answers
Answer:
a) 2x + 6y + 7x
9x + 6y
b) 3a + 8b + 5a
8a + 8b
c) 6u + 3v - 2u
4u + 3v
d) 9p + 8q - p
8p + 8q
e) 2m + 5n + 4m + 3n
6m + 5n + 3n
6m + 8n
f) 6u + 9v + u + 3v
12v + 6u + u
12v + 7u
g) 8b + 7c + 3b - 2c
8b + 3b + 5c
11b + 5c
h) a + 2b + a - b
2a + 2b - b
2a + b
i) 5a + 2b - 5a + 6b
8b + 5a - 5a
8a
h) 9p + 3q - 2p - 3q
7p + 3q - 3q
7p
Which of the following are maximum and minimum points of the function y= 2 cos x - 1?
A) Maximums: (0, 3), (2π, 3); Minimum: (π, -3)
B) Maximums: (0, 1), (2π, 1); Minimum: (π, -3)
C) Maximums: (0,3), (2π, 3); Minimum: (π, -1)
D) Maximums: (0, 1) (π/2, 1); Minimum: (3^π/2, -3)
Answers
Answer:
B) Maximums: (0, 1), (2π, 1);
Minimum: (π, -3)