Answers
Answer:
When we have a random function like:
y = f(x)
If there is no clarification, the domain will be the set of all real numbers except the ones that may make a problem.
For example, if there is some value of x such that there is a denominator equal to zero, then that particular value of x is not in the domain of f(x) (because we can not divide by x)
Something similar happens when we have a square root, remember that:
√x
Is a complex number if x < 0.
Then if we have a function like:
y = √x
The domain will be the set of all reals such that x ≥ 0.
Then the procedure to find the domain is to find the inputs that may have problems, and "remove" them from the domain.
For the range, we need to first know the domain, then we can evaluate the function in different points of the domain and see the outputs. Once we know all the outputs, we know the range of the function.
Usually, when working with continuous functions, these may have a global maximum M and a global minimum m, then the range is:
m ≤ Y ≤ M
if not, then the range is the set of all real numbers.
Related Questions
What is the area enclosed by the curves???
Answers
i think
Consider a savings account earning annual compound interest with no additional deposits or withdrawals made after the initial deposit. The balance in the account after x years can be modeled by the function s(x) = 2.000(1.045) Which statement is the best interpretation of one of the values in this function? A) The initial balance of the account is $2,000. B) The balance in the account at the end of one year is $2,000. The initial balance of the account increases at a rate of 104.5% each year. D) The initial balance of the account decreases at a rate of 4 5% each year.
Answers
Answer:
The initial balance of the account is $2,000.
Step-by-step explanation:
I took the test on usa test prep
Answer:The initial balance of the account is $2,000.
f(x) = abx, where a = initial value, b = change factor, and x = time period.
The table shows the average distance in yards of the tee shots of several professional golfers and their accuracy as percentages of landing golf ball in the fairway. what does the correlation coefficient for the data indicate about the strength of the linear association between the average distance of a tee shots in the accuracy of the golf ball landing in the fairway ?
Answers
Answer: strong negative correlation
Step-by-step explanation:
Taking the test
Find the coordinates of the center and the measure of the radius for a circle whose equation is (x - 3)^2 + (y - 7)^2 = 2.
A. center = (3,7), radius = √2
B. center = (3,7), radius = 1
C. center = (-3, -7), radius =4
D. center = (-3, -7), radius =1
Answers
Answer:
A
Step-by-step explanation:
Equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
The coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
What is a circle?A circle is a shape or a curve in a plane that has a fixed distance, called the radius, from a given point, called the center. A circle is also the set of all points that are equidistant from the center.
Given is an equation of a circle, we need to find coordinates of the center and the measure of the radius for a circle,
The equation of the circle =
(x - 3)² + (y - 7)² = 2
The standard equation for a circle of radius r, centered at (h,k):
(x-h)² + (y-k)² = r²
Comparing both we get,
(h, k) = (3, 7)
r² = 2
r = √2
Hence, the coordinates of the center and the measure of the radius for a circle given are center = (3,7), radius = √2.
Learn more about circle, click;
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Treven puts 8 gallons of gas in his car air pays $22.00 what is the cost of 1 gallon of gas complete the table
Answers
Answer:
the cost of each gallons is 8÷22.00=$36What are the answers to the puzzle?
Answers
Answer:
1) 25°
2) 155°
3) 25°
4) 25°
5) 110°
6) 30.5°
7) 41°
Step-by-step explanation:
5) 5x + 15 = 8x - 42, 3x = 57, x= 19, ∠CDE = 5(19) + 15 = 110°
6) 3x + x + 4 + 70° = 180°, 4x = 106°, x = 26.5°, ∠ABC = 26.5° + 4° = 30.5°
7) 2x + x + 4 + 65° = 180°, 3x = 111°, x = 37°, ∠MNO = 37° + 4° = 41°
6=2(y+2)
I. Don’t get it
Answers
Answer:
1
Step-by-step explanation:
6=2*y+4
6-4=2*y
2=2*y
y=2/2
y=1
Help plz....................
Answers
Answer with explanation:
y+1 = 26 ; y = 26-1 = 25
x-2 = 19 ; x = 19+ 2 = 21
I hope im roght!!
Help I’ll give brainliest
Answers
Answer:
8
888888888888888888888888888
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radius of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
Answers
The radius of the circle is 8 inches when the sector of a circle has an area of 104pi/9 square inches.
What is a sector of a circle?A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
Which is the radius of a circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Area of a sector = [tex]\frac{\theta}{360} \pi r^2[/tex]
[tex]\text{Given area = }\frac{104\times \pi}{9}=\frac{65}{360}\times \pi r^2\\\\\frac{104}{9}=\frac{65}{360} \times r^2\\\\r^2=\frac{37440}{585}\\\\r=8.001[/tex]
Hence, option b is correct, that is the radius of the circle is 8 inches.
To learn more about sector here
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what is the answer to this question 108=
Answers
Please help me lol ......................
Answers
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
simple logic
what is the slope of (4,7) (9,7)?! please help i tried omni and it didn't give me an answer
Answers
Answer:
0
Step-by-step explanation:
C = ?
when d = 25 m.
(C = circumference)
(d = diameter)
Answers
Answer:
12.5m
Step-by-step explanation:
I don't wanna type it lmco (laughing my cheeks off)
hehe lol? math math math
Answers
Answer:
lol
Step-by-step explanation:
Answer:
math kinda sucks. :) Brainliest pls???
Step-by-step explanation:
655,325 to the nearest hundred thousands
Answers
Answer:
700,000
Step-by-step explanation:
55,325 is closer to 100,000 than it is to 0, so the hundred-thousands place would round up.
Answer:
655,325
Step-by-step explanation:
Im pretty sure it would just stay the same because 3 is not enough to bring the 5 up to 6.
What is the value of x in the figure above? Assume ↔B and ↔C are parallel.
Answers
Answer:
x=4
Step-by-step explanation:
180-58=26x+18
122=26x+18
122-18=26x
104=26x
4=x
what is the following sum
Answers
Answer:
2nd option is the correct answer
[tex] 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]
Step-by-step explanation:
[tex]3 {b}^{2} \bigg( \sqrt[3]{54a} \bigg) + 3 \bigg( \sqrt[3]{2a {b}^{6} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{27 \times 2a} \bigg) + 3 \bigg( \sqrt[3]{2a {( {b}^{2} )}^{3} } \bigg) \\ \\ = 3 {b}^{2} \bigg( \sqrt[3]{ {3}^{3} \times 2a} \bigg) + 3 \bigg({\sqrt[3]{{( {b}^{2} )}^{3}2a} } \bigg) \\ \\ = 3 {b}^{2} \times 3 \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 9 {b}^{2} \sqrt[ 3]{2a} + 3 {b}^{2} \sqrt[3]{2a} \\ \\ = 12{b}^{2} \bigg(\sqrt[3]{2a} \bigg)[/tex]
Answer:
second option: 12b²(∛2a)
Step-by-step explanation:
you can break [tex]\sqrt[3]{54a}[/tex] into [tex]\sqrt[3]{3^3(2a)}[/tex] which equals 3[tex]\sqrt[3]{2a}[/tex]
you can break [tex]\sqrt[3]{2ab^6}[/tex] into [tex]\sqrt[3]{2ab^3b^3}[/tex] which equals b²[tex]\sqrt[3]{2a}[/tex]
now we can simplify: (3b² · 3[tex]\sqrt[3]{2a}[/tex]) + 3b²[tex]\sqrt[3]{2a}[/tex] = 9b²[tex]\sqrt[3]{2a}[/tex] + 3b²[tex]\sqrt[3]{2a}[/tex]
this equals 12b²[tex]\sqrt[3]{2a}[/tex]
Help pls!! I need help!!
Answers
Answer:
what u need help wt?
Step-by-step explanation:
5 tons of compost cost $6,300.00. What is the price per pound?
Answers
Answer:
300 , is the answer
Step-by-step explanation:
The measure of the interior angles of four refusal
Answers
Answer:
B) 180(n-2)
Step-by-step explanation:
B) 180(n-2)
Sylvester spends a total of $1725 for Common and preferred shares. He has purchased $975 worth of preferred.
Answers
Answer:
750
Step-by-step explanation:
question plz helpppppppppp
Answers
Answer:
the answer is 38.25
Step-by-step explanation:
45-15%
=38.35
Answer:
$6.75
Step-by-step explanation:
To solve any percent problem, u can use the equation part %
------- = ---
whole 100
(the lines are fraction bars btw, when u right out the problem, write it as fractions)
In this problem, the whole is 45, because that is the original, or whole price. The % is 15, because u want to find 15%. The part would be x, because that's what u want to find. Cross multiply, so ur problem should look like this:
100x = 675.
Then, divide 675 by 100 to get x = 6.75.
So Natalie saves $6.75.
hope this helps!
please help me with this math wuestion
Answers
Answer:
A) 3 1/4
Step-by-step explanation:
x+1/2 = 3 3/4
x = 3 3/4 - 2/4 = 3 1/4
Could someone help me with this
Answers
Answer:
try to do this formula
XYZ
= X times Y times Z
1.5x= 3 help me I don't know what this means
Answers
Answer:
x = 2
Step-by-step explanation:
simple
just divide 3 by 1.5 to get x
3 / 1.5 = 2
so
x = 2
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
24j - 9 Factor the following expression using GCF
Answers
Answer:
See it and do it
Follow please
The arrow shown is on a sign. What is the area of the arrow? Plz
Answers
Answer:
61 inches squared
Step-by-step explanation:
find the area of the rectangle then the area of the triangle and add.
Answer:
61 in²
Step-by-step explanation:
first u work out the rectangle. so u do 4 times 10 which is 40 . then u do 1.5 plus 1.5 plus 4 which equals 7 . then u do 7 times 6 which is 42 . 42 two divide by 2 = 21 . 21 plus 40 equals 61. answer 61.
area of triangle: base times height divide by 2 .
to work out area of rectangle : 4×10=40 in²
1.5+1.5+4= 7 in
area of triangle: 7×6=42 then divide by 2 = 21 in²
plus them to get the area of arrow : 21+40=61 in²
hope this helps. give brainliest and like this . rate it and follow me . amd I will follow u back and help u more
Find the value of -7 + 3(-12) ÷ (-3).
Answers
answer:
5 is the answer
Step-by-step explanation:
I don't know how I got my answer but please try
Working together, two copy machines can finish a copy job in 3 minutes. The slower copier can finish the job in 12 minutes. How many minutes would it take for just the faster copier to finish the job?
Answers
Answer:
4 minutes, because in 3 minutes, the slower copier has done 1/4 of the job (at a 12 minute pace ). That means that during the same 3 minutes, the faster copier did 3/4 of the job.
So the faster copier is on pace to complete the entire job in 4 minutes (3 X 4/3).
Step-by-step explanation: