Answers
Given:
The functions are:
(1) [tex]h(x)=\sqrt{1-x}[/tex]
(2) [tex]x+y=4[/tex]
(3) [tex]x^2+y^2=16[/tex]
To find:
The domain of given functions.
Solution:
Domain is the set of input and x -values.
Value under the square root must be positive because if the number under square root is negative, then it is a complex or imaginary number.
(1) [tex]h(x)=\sqrt{1-x}[/tex]
The function is defined if
[tex]1-x\geq 0[/tex]
[tex]1\geq x[/tex]
The function is defined for all real values of x which are less than or equal to 1.
Therefore, the domain of the function is (-∞,1].
(2) [tex]x+y=4[/tex]
It is a linear function and linear function is defined for all real values of x.
Therefore, the domain of the function is (-∞,∞).
(3) [tex]x^2+y^2=16[/tex]
It can be written as
[tex]y^2=16-x^2[/tex]
[tex]y=\pm \sqrt{16-x^2}[/tex]
It is defined if
[tex]16-x^2\geq 0[/tex]
[tex]16\geq x^2[/tex]
[tex]4\geq x\geq -4[/tex]
This function defined for all real values of x from -4 to 4.
Therefore, the domain of the function is [-4,4].
Related Questions
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Answers
Answer:
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Step-by-step explanation:
2.circumference = pi x diameter
c = pi x (8x2)
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which graph represents the following system of inequalities y>1/2x-1 y>-2x-1
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Answer:
I think its c on plato
Step-by-step explanation:
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Answer:
I need help too
Step-by-step explanation:
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Answer:
try 8
Step-by-step explanation:
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Answer:
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What is the slope of y = -5 + 42?
Answers
your welcome
Answer:
slope should be -5
Step-by-step explanation:
the equation is y=-5+42
slope equation form is y=mx+b
m is the slope in the equation, b is the y-intercept(where it hits the line if graphed)
so b should be 42 and slope should be -5
Use the Distributive Property to complete the equivalent expression. 4(y-3)=___-___? Please answer quickly!!!
Answers
Answer:
4y-12
Step-by-step explanation:
ok in distributive propertie you multiply the number or term on the outside of the parenthesis with the terms in the inside in other words. 4 ×y and 4× 12
Answer:
4y-12
Step-by-step explanation:
I did something just like this
The number of customers visiting a local business is 61,874 and has been continuously declining at a rate of 3.5% each year. What is the approximate number of
customers in 15 years?
A. 36,602
B. 29,309
C. 104,595
D. 36,259
Answers
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Answer:
your answer is correct
Step-by-step explanation:
Joe is straight into running a half marathon in too much this week he ran 1,200,000 km on Monday 2400 m on Wednesday and 4.6 km on Friday what is the total distance in kilometer that he ran this week
Answers
Answer:
1202404.6
Step-by-step explanation:
1,200,000 + 2400 =1202400
1202400 + 4.6 = 1202404.6
What is the reciprocal 1/5. im very confused
Answers
Answer:
5/1
Step-by-step explanation:
The reciprocal is just flipping the fraction!
Please help! Will mark brainliest
Answers
Answer:
Marylin has the highest score: 87.5%
Step-by-step explanation:
Alyssa score: 21/25 = 84%
Jerrod: 80%
Francis: 88%
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Answers
Answer:
230°
Step-by-step explanation:
Answer: 40
Step-by-step explanation:
Corresponding Angles Theorem
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Answers
Answer:it would be y=2x+3
Step-by-step explanation:
If you find the slope of 2 over and 1 up it is a positive slope of 2 and then the slope is always _x so it’s 2x + the y intercept which is 3 and the y intercept is just the cordon are where x=0
The sun of two numbers is 10. The difference between the two numbers is 4.
Answers
Answer:
7 and 3
Step-by-step explanation:
Can someone help me with this please???...
Answers
Answer:
2×2×2×2× 5
Step-by-step explanation:
use the tree method it helps
Answer:
hey mate this is your answer..
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C) 325.1 ___
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Answers
Answer:
A.) 100
B.) 500
C.) 300
D.) 15600
Step-by-step explanation:
I hope this is what you meant
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Which expression is equivalent to i 2337
O 1
O -1
O i
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Answers
Solve the equation
3s-4s=28
Answers
Answer:
-28
Step-by-step explanation:
Answer:
s=[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Please help ASAP
Paula used 134 cups of flour for a recipe. How many cups y of flour did Paula have if she had x cups before making the recipe? Write an equation to represent the situation.
Answers
Answer:
y = x - 1 3/4*
Step-by-step explanation:
If 1 3/4 is used, then subtracting that from the previous amount will give you the amount that Paula has currently
* My answer is only correct if you meant 1 3/4, not 134. If you meant 134, then the answer would be y = x - 134
During a read-a-thon John reads for 125 minutes and Dakota reads for 89 minutes. Their friend Will plans to read for more minutes than both of them combined. Which inequality represents w, the number of minutes that Will should read for? Choose all that are correct.
Answers
Answer: The required inequality: w> 214
Step-by-step explanation:
Given: Tike taken by John = 125 minutes
Time taken by Dakota = 89 minutes
Combined time = 125 +89 minutes
= 214 minutes
Time taken by Will > Combined time taken by John and Dakota
Let w be the number of minutes that Will should read for.
The required inequality: w> 214
This is the list of points that Maurice scored in the last 10 games.
13, 30, 25, 17, 16, 28, 31, 22, 68, 17, 12
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Answers
68
Outliers are numbers that don't fit in with the rest of them..
2. cost to store: $25
markup: %
selling price: $45
Answers
Answer:
95
Step-by-step explanation:
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The area of a rectangular garden is represented by the polynomial shown below.
x2 + 19x - 42
What are the dimensions (length and width) of the rectangular garden? ***Hint: Factor (x method). ***
a(x + 21) and (x - 2)
b(x - 21) and (x + 2)
c(x + 42) and (x - 1)
d(x-6) and (x + 7)
Answers
Is b) Step-by-step explanation:
The length and the width of the rectangular garden will be ( x + 21) and x - 2 respectively.
What is a quadratic equation?Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the area of a rectangular garden is represented by the polynomial is shown x² + 19x - 42. The length and the width will be calculated by factorizing the given quadratic equation.
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( x + 2 ) ( x - 21 ) = 0
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To know more about quadratic equations follow
https://brainly.com/question/1214333
#SPJ2
The graph shows a proportional relationship between the distance a car travels and the fuel it consumes.
Based on the graph, the car requires___gallons of fuel to travel 100 miles.
A. 1.0
B. 2.5
C. 4.0
D. 5.5
Answers
100=40x
x=2.5
HELP ME WITH THIS PROBMLEMW PSS
Answers
question 7 is in the pic
Answers
Answer:
B.
Step-by-step explanation:
This is the information the histogram represents.
Hope it helps!
Answer:
B I think?
Step-by-step explanation:
Hope its right
Kathy wants to paint the faces of her standard six-sided die so that each face is either red or blue. However, she does not want all of the faces to be the same color. How many ways are there for Kathy to paint her die?
Answers
Answer:
The number of ways Kathy can paint her die is 52 ways
Step-by-step explanation:
The permutation and combination related question is answered as follows;
The number of faces in the six-sided die = 6
The number of colors available for painting the six-sided die = 2 colors
Therefore, we have, the total number of ways Kathy can paint her die, 'n', given as follows;
n = ₆P₂ + 2₄P₄ + 2₄P₃ + ₄P₂
Where;
₆P₂ = The number of ways of arranging 2 objects in 6 spaces = 30
₄P₄ = The number of ways of arranging 4 objects in 4 spaces = 1
₄P₃ = The number of ways of arranging 3 objects in 4 spaces = 4
₄P₂ = The number of ways of arranging 2 objects in 4 spaces = 12
∴ n = 30 + 2×1 + 2×4 + 12 = 52
The number of ways Kathy can paint her die, n = 52 ways.
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Answers
Answer:
oh col jwfwfe fhefef firf dc
y = x + 5 anyone help
Answers
Answer:
x=y−5 Hope I helped? :')
Steps!
1. Subtract 55 from both sides.
y−5=x
2. Switch sides.
x=y−5