Determine whether the graph represents a function . If it does represent a function , give its domain and range.
#18,20,24,30
PlEASE GUYS HELP ME OUT!!!!
Answers
Answer:
A function is a relationship that maps elements from a set (the domain) into elements from another set (the range)
Such that each element in the domain can be mapped into only one element from the range.
Let's see graphs 18, 20,24 and 30.
Remember that the axis that represents the domain is the horizontal one (usually represented with x), and the vertical axis represents the range (usually represented with y)
18) Here we can see that the point x = 1 his mapped into two different values of y.
we have the pair (1, 2) and the pair (1, -3)
And something similar happens for x = 2.
Then we can conclude that this is not a function.
20) Here we have a linear relationship.
Linear relationships are almost always functions, the only case when these are not functions is when the linear equation is something like x = a.
Linear equations can be written as:
y = a*x + b
So x can be any value, and thus y also can be any value.
Then the domain is the set of all real numbers, and the range is the set of all real numbers.
24) Here we have a quadratic function whose arms go down.
This is a function, now let's see the domain and range.
Quadratic functions are written as:
y = a*x^2 + b*x + c
There is no value of x can cause some problem in this equation, then this function works for all values of x, then the domain is the set of all real numbers.
Now, let's look at the graph.
We can see that the function goes up, reaches a maximum, and then goes down again.
Then the range will be the set of all the values smaller than the maximum we can see in the graph, this is:
y ∈ (-∞, 15]
or simply:
y ≤ 15.
30) Here again, we can see that for x = 0 there are two different values of y.
the same happens for x = -1, x = -2, and a lot of other values.
Then this is not a function, because it is mapping values of the domain into different values of the range.
Related Questions
Based on what you've read, answer the following questions.
What number, when substituted for x in the following problem, will make the problem true?
6x + 8x = 10x
How can you insert two radical signs in the following problem to make it true?
5 = 4 + 4 + 4⁄4
Square the following numbers.
a. 4
b. 6
c. 13
d. 10
Cube the following numbers.
a. 1
b. 2
c. 4
d. 8
Rewrite the following exponential abbreviations as multiplication problems.
a. 22
b. 84
c. 123
d. 205
Write the following multiplications as exponential abbreviations.
a. 5 × 5
b. 7 × 7 × 7 × 7
c. 2 × 2 × 2
d. 9 × 9 × 9 × 9 × 9
Write the values of the following exponential abbreviations.
a. 33
b. 142
c. 125
d. 90
e. 44
f. 171
Rewrite each number using scientific notation.
a. 7,600
b. 23,400
c. 167,000
d. 2,000,000,000
Rewrite each scientific notation as a regular number.
a. 9.7 × 104
b. 7 × 105
c. 8.97 × 107
d. 3.2 × 1010
Find each of the following square roots. (Hint: All examples are perfect squares.)
a. √16
b. √169
c. √64
d. √400
ANSWER:
1.If you substitute the number 2 for x in the problem, you’ll make it true.
a.6x + 8x = 10x
b.62 + 82 = 102
c.36 + 64 = 100
d. 100 = 100
2. Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
3. a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
4. a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
5. a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
6. a. 52
b. 74
c. 23
d. 95
7. a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
8. a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
9. a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
10. a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Answers
Answer:
If you substitute the number 2 for x in the problem, you’ll make it true.
6x + 8x = 10x
62 + 82 = 102
36 + 64 = 100
100 = 100
Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
a. 52
b. 74
c. 23
d. 95
a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Step-by-step explanation:
pf
Answer:
1. If you substitute the number 2 for x in the problem, you’ll make it true.
6x + 8x = 10x
62 + 82 = 102
36 + 64 = 100
100 = 100
2. Insert two radical signs into the problem like this to make it true:
5 = 5 √4 + √4 + 4⁄4
5 = 2 + 2 + 1
5 = 5
3. a. 42 = 4 × 4 = 16
b. 62 = 6 × 6 = 36
c. 132 = 13 × 13 = 169
d. 102 = 10 × 10 = 100
4. a. 13 = 1 × 1 × 1 = 1
b. 23 = 2 × 2 × 2 = 8
c. 43 = 4 × 4 × 4 = 64
d. 83 = 8 × 8 × 8 = 512
5. a. 2 × 2
b. 8 × 8 × 8 × 8
c. 12 × 12 × 12
d. 20 × 20 × 20 × 20 × 20
6. a. 52
b. 74
c. 23
d. 95
7. a. 33 = 3 × 3 × 3 = 27
b. 142 = 14 × 14 = 196
c. 125 = 12 × 12 × 12 × 12 × 12 = 248,832
d. 90 = 1 (Any number to the zero power equals 1.)
e. 44 = 4 × 4 × 4 × 4 = 256
f. 171 = 17 (Any number to the first power equals itself.)
8. a. 7.6 × 103
(103 = 1,000 and 7.6 × 1,000 = 7,600)
b. 2.34 × 104
(104 = 10,000 and 2.34 × 10,000 = 23,400)
c. 1.67 × 105
(105 = 100,000 and 1.67 × 100,000 = 167,000)
d. 2 × 109
(109 = 1,000,000,000 and 2 × 1,000,000,000 = 2,000,000,000)
9. a. 97,000
(9.7 × 10 × 10 × 10 × 10 = 97,000)
b. 700,000
(7 × 10 × 10 × 10 × 10 × 10 = 700,000)
c. 89,700,000
(8.97 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 89,700,000)
d. 32,000,000,000
(3.2 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 32,000,000,000)
10. a. 4 (4 × 4 = 16)
b. 13 (13 × 13 = 169)
c. 8 (8 × 8 = 64)
d. 20 (20 × 20 = 400)
Step-by-step explanation:
What is the slope-intercept form of the equation?
Answers
Answer:
y = 1/3x + 4/3
OR
y = 1/3x + 1 1/3
Hope this helps!! (Please give Brainliest if possible!!)
A + 1.05 = 3.7 plz help
Answers
Answer:
a=2.65
You just bring over the 1.05 to the 3.7, and just go on from there!
Hope this helps!
GIVING BRAINLIEST Use the inequality 186< -3 (4x - 2).
a.Solve the inequality for x.
b. Which graph shows the solution to the inequality?
Answers
Answer:
x < -15
Step-by-step explanation:
I solved the inequality but i don't know if that was what you were asking for lol, if not sorry.
which is the graph of y - 3 = -2/3 (x+6)? PLEASE ANSWER QUICK IM TAKING A TIMED TEST
Answers
Answer:
the first graph
Step-by-step explanation:
the one with (0,-1) (-3,1) (3,-3)
4x + 5y = 48
Y=3x + 2
Answers
4x + 15x + 10 = 48
19x + 10 = 48
19x = 38
x = 2
y = 3x + 2
y = 3(2) + 2
y = 6 + 2
y = 8
The solution of the given equation is x = 2 and y = 8.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The value of x and y will be calculated as,
4x + 5(3x+2) = 48
4x + 15x + 10 = 48
19x + 10 = 48
19x = 38
x = 2
Calculate the value of y,
y = 3x + 2
y = 3(2) + 2
y = 6 + 2
y = 8
Therefore, the solution of the given equation is x = 2 and y = 8.
To know more about an expression follow
https://brainly.com/question/26310043
#SPJ2
if f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)
Answers
Step-by-step explanation:
g*f(x)=g(x+4)=(x+4)³
g*f(-3)=(-3+4)³
= 1³=1
Subtract: (x^2+ 5x – 4) - (6x2 – 7)
Will give brainliest
Answers
Answer:
x^2+5x-9
Step-by-step explanation:
First multiply 6x2 because that's a number that isn't solved in the parenthesis.
(x^2+5x-4) - (12-7)
Then you subtract 12-7 which equals 5.
(x^2+5x-4)-(5)
You now take the parenthesis off
x^2+5x-4-5
-4-5 equals -9
Now you get the answer: x^2+5x-9
Answer:
-5x² + 5x + 3
Step-by-step explanation:
6 students equally shared 1/2 of a pan of brownies what fraction of a whole pan a brownies did each student eat?
A. 12
B. 3
C. 1 /12
D. 1/3
Answers
Answer:
The answer would be D
Step-by-step explanation:
Find the circumstances of a circle of the radius 15 CM
Answers
How would the triangle be classified?
Answers
Answer:
B. Isosceles right triangle.
Step-by-step explanation:
The triangle given has two sides that have equal lengths. It also has a right angle.
An Isosceles triangle has two equal side lengths.
Therefore, since the triangle above has a right angle and has two equal side lengths, based on the side lengths, it can can be classified as an isosceles right triangle.
7. A pupil sat for a test in five subjects.
He got a total of 380 marks. How
many marks did he lose if every
subject was marked out of 100?
A. 280 B. 500
C. 120
D 220
Answers
Answer:
option C: 120
Step-by-step explanation:
total marks = 5× 100 = 500
marks he obtained = 380
marks he lost = 500 - 380 = 120
plz mark my answer as brainlist plzzzz.
hope this will be helpful to you.
Your mom loves to walk. She walks 4 miles each day. If
she wants to walk a total of 56 miles, how many days
should she walk?
Answers
Answer:
14 Days
Step-by-step explanation:
Your mom walks 4 miles each day and wants to walk a total of 56 miles.
You have to divide 56 by 4 and you'll get 14 days.
If you would like to check your answer, you can multiply 14 by 4 and you'll get 56 miles!
Please help will give brainliest
Answers
Answer:
I hope u understand ...
(6a + 5b + 4c) + (–6c + 15b) + (–8a)
Answers
Answer:
-2a + 20b - 2c
Step-by-step explanation:
(6a + 5b + 4c) + (–6c + 15b) + (–8a) = 6a + 5b + 4c - 6c + 15b - 8a
= 6a - 8a + 5b + 15b + 4c - 6c
= -2a + 20b - 2c
Laurinda ordered some boxes of greeting cards online. The cost of the cards is $6.50n + $3 where n is the number of boxes ordered and $3 is the shipping and handling charge. How much will Lurinda pay if she orders 8 boxes of cards?
Answers
Answer:
$55.00
Step-by-step explanation:
$6.50 (8) + $3 = $55.00
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.0 parts/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 13 samples is 5.6 ppm with a variance of 0.49. Assume the population is normally distributed. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to three decimal places.
Answers
Answer:
Test statistic | t| = |-2.0607| = 2.0607
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 6.0 parts / million
The mean of sample x⁻ = 5.6ppm
The variance of the sample = 0.49
The standard deviation of the sample (s) = √0.49 = 0.7
Step(ii):-
Test statistic
[tex]t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n} } }[/tex]
[tex]t = \frac{5.6 - 6.0}{\frac{0.7}{\sqrt{13} } }[/tex]
t = -2.0607
Final answer:-
Test statistic | t| = |-2.0607| = 2.0607
help and please explain will give brainliest
Answers
Answer:
2.83
Step-by-step explanation:
36 pi = pi×r×r×h
36=r×r×h
h= 4
36= r×r×4
8=r×r
[tex] \sqrt{8} = x[/tex]
r= 2.83
Tammy only has $550 of debt left. If Tammy were to pay off her debt completely today, how could you represent Tammy's situation as an equation? Who ever actually helps get brainliest.
Answers
Answer:
Step-by-step explanation:
If Tammy has $550 in debt, and she pays it off in one day, then the equation to represent her situation would look like this.
$550 - $550 = $0
Hope this helps!
Answer:If I let +t+=+0+ ( no months have passed )
+D%280%29+=+550+
-----------------
+t+=+1+
+D%281%29+=+550+-+.19%2A550+
+D%281%29+=+550%2A%28+1+-+.19+%29+
-------------------------
+t+=+2+
+D%282%29+=+550%2A%28+1+-+.19+%29+-+.19%2A%28+550%2A%28+1+-+.19+%29+%29+
+D%282%29+=+550%2A%28+1+-+.19+%29%2A%28+1+-+.19+%29+
+D%282%29+=+550%2A%28+1+-+.19+%29%5E2+
--------------------------
This pattern continues, so the general formula is:
+D%28t%29+=+550%2A%28+1+-+.19+%29%5Et+
+D%28t%29+=+550%2A.81%5Et+
I hope you see this. Each month 19% of the
PREVIOUS months balance gets subtracted.
Step-by-step explanation:
A rectangular swimming pool measures 40 ft by 60 ft and is surrounded by a path of uniform width around the four edges. The perimeter of the rectangle formed by the pool and the surrounding path is 248 ft. Determine the width of the path.
Answers
Answer:
6ft
Step-by-step explanation:
Lets x = the width of the path the surrounding path will add 2x to the pool dimension,therefore over all dimesion: (2x+40) by (2x+60) the overall perimeter (2x + 40) + 2(2x+60) = 248 Simplify divide by 2, result (2x+40) +(2x+60) = 124
Combine like terms 2x + 2x +40 +60 =124
4x + 100 = 124
4x=124 = 100
4x=24
x=24/4
x= 6ft is the width of the path
check this by finding the perimeter with these values; 2x = 12 ft
2 ( 12 + 40 ) + 2( 12 +60 )
2( 52 + 2(72)
104 + 144 = 248; confirms our solution of x= 6 ft
Sorry if the picture is scuffed. Pls help fast
Answers
Answer:
C
Step-by-step explanation:
the domain would be all positive real numbers, including zero
plantear y resolver:
un señor compró 15 cajas de libro para venderlos en su negocios. si cada caja trae 35 cajas:
a)¿ cuantos libros compro?
b)¿ cuantos gastó si cada caja costó $258 ?
Answers
..........................
70 points! Mhanifa please help I don’t want to get this wrong :( thanks! Random answers will be reported !!
Answers
Answer:
Congruent pairs of triangles:
ΔABD ≅ ΔDCB
AB≅CD - given∠ABD ≅ ∠CDB - givenBD≅DB - common sideSAS - two sides and the included angleΔABD ≅ ΔEFD - SAS
AB≅EF - given∠ABD ≅ ∠EFD - given∠ADB ≅ ∠EDF - vertical anglesAAS - two angles and non-included sideBy using the above two we can state that:
ΔBDC ≅ ΔDFE - by ASA or SSS
because
BD ≅ DF (corresponding parts) AD ≅ BC (corresponding parts) AD ≅ ED (corresponding parts) and therefore BC ≅ EDWe can't prove that:
ΔAGD is congruent with any of the others as not enough informationThere is one side and one angle and we can' t get two angles or two sides with included angle. Maximum we can get is SSA which doesn't guarantee the congruence.
I have to turn this in today!!! Please help me ASAP!
Answers
Answer:
D. 9/5
Step-by-step explanation:
27:15= 9:5
18:10= 9:5
Answer:
D) [tex]\frac{9}{5}[/tex]
Step-by-step explanation:
The scale factor between the shapes is 1.8 or 9/5 as a fraction.
Hope it helps!
Jerry has a jar with 273 marbles in it. The jar can hold 1,000 marbles in all
which equation can be used to find m, the number of marbles still needed to fill
the jar
273
1,000
1,000
1,000 1 273 m
1.000
Done >
Answers
Answer:
I would say that the answer is 1000=273+m
Plz help ASAP plz help
Answers
Answer:
t=12
Step-by-step explanation:
5t / 4 = 18 - 3
5t / 4 = 15
5t = 15 x 4
5t = 60
t = 12
Hope that helps!
Answer t is 12
Step by step explanantion
help meeeeee the choices and question is there :)
Answers
1. If x is 3, what is 3x + 2x? Plz I need help
Answers
Answer:
15
Step-by-step explanation:
3*3+2*3=15
Answer:
15
Step-by-step explanation: If x equals 3, then you would do 3x3 = 9 and 2x3 = 6. Then add to get 15.
Can someone help me with these 4 problems A B C D zoom in if needed this is urgent
Answers
Answer:
A is 13
B is 5
C is 0.25
And D is 4.58 or 4.6
Good Luck!
Answer:
A) 0.2 + 7.9 + 3.8 + 1.1 = 13
B) -5.6 + 5 + 4.6 + 1 = 5
C) 3 1/6 - 4 3/4 + 1 5/6 = 1/4
D) 2 1/12 + 3 1/6 - 1 1/12 = 4 1/6
Step-by-step explanation:
A) 0.2 + 3.8 = 4... 7.9 + 1.1 = 9... 4 + 9 = 13
B) 4.6 + 1 = 5.6... 5.6 - 5.6 = 0... 0 + 5 = 5
C) 3 1/6 + 1 5/6 = 5. 5 - 4 3/4 = 1/4
D) 2 1/12 - 1 1/12 = 1. 1 + 3 1/6 = 4 1/6
... me no like math...
Answers
Answer:
i got 61.27
Step-by-step explanation:
quater circumference [tex]=\frac{3.14 * 22}{4}[/tex]
= 17.27
20+2+2+(20-11)+11+17.27 = 61.27
