Answers
The first one because there is only one y value for every x value. The correct option is first.
To determine if a relation is a function, use the vertical line test: If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function. On the other hand, if every vertical line intersects the graph of the relation at most once, then the relation is a function.
In first relation is considered a function, because each input x-value is associated with exactly one output y-value. In other words, for every x-value in the domain of the relation, there can be only one corresponding y-value in the range. Each x-value should not have more than one y-value associated with it.
Therefore, each x-value should not have more than one y-value associated with it. The correct option is first.
Learn more about Function here:
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Related Questions
Show that x +1 is a factor of f(x) =2x^3 +3x^2 - 5x - 6
Answers
Answer:
Step-by-step explanation:
To solve this, we can use polynomial long division.
Seeing the picture, we first divide x (the variable to the largest degree in x+1) from 2x³. We divide from 2x³ because that is the variable with the largest degree in the polynomial. That is equal to 2x², so we put that on top and subtract (x+1) * (2x²) from the polynomial. Then, we repeat the process, but with x² instead of 2x³, and again with -6x as the variable with the largest degree.
An acute angles measure is
A. Between 0 and 90
B. Between 90 and 180
C. Exactly 90
Answers
Answer: the correct answer is A. Between 0 and 90
If an angle is between 0 and 90 it is acute
If an angle is EXACTLY 90 it is a right angle
If an angle is between 90 and 180 it is obtuse angle
If it's 360 then it is a full circle
pls answer w explanation!
What is the product of the complex numbers 2 + 6i and 2 - 6i? (Note: i= √-1)
Answers
Answer:
10
Step-by-step explanation:
Apply difference of squares.
[tex](x + y)(x - y) = {x}^{2} - {y}^{2} [/tex]
[tex](2 + 6i)(2 - 6i) = {2}^{2} - {6i}^{2} [/tex]
[tex] = 4 + 6[/tex]
[tex] = 10[/tex]
Please tell me the ans fast
Answers
Answer:
B
Step-by-step explanation:
mgh=PE
(5)(9.8)(2.5)=pe
122.5j=pe
is the answer to your question
PLEASE HELP! Use the substitution method to solve the system of equations.
A. (-30,11)
B. (5,-3)
C. (10,-5)
D. (0,1)
Answers
Hello,
[tex]\left\{\begin{array}{ccc}2x+5y&=&-5\\x+3y&=&3\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\6-6y+5y&=&-5\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&3-3y\\y&=&11\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&-30\\y&=&11\\\end{array}\right.\\\\[/tex]
Answer A
The mean grade on the statistics exam is M=82, the standard deviation is G=12. What actual grade has a Z score of z= -1.5
Answers
Answer:
64
Step-by-step explanation:
-1.5 = (X - 82)12
-18 = X-82
X = 64
A right triangle has one angle that measures 70 degrees what is the measure of the other acute triangle
Answers
Answer:
20
Step-by-step explanation:
180 - 90 - 70 = 20
The sum of all angles in a triangle equals 180.
Triangle Sum Theory
Cutting of 11.25 by 15
Answers
Answer:
it may be 0.75 i am not sure
Answer:
answer will be 0.75
11.25÷15=0.75Write the sentence as an equation.
129 equals g subtracted from 21
Answers
Answer:
g-21=129
Step-by-step explanation:
What is the 10th term of the geometric sequence a(n)=-3(2)^(x-1_())
Answers
[tex]\displaystyle\ a(n)=-3(2)^ {n-1}\Longrightarrow a(10)=-3(2)^{10-1}=2^9\cdot -3=\boxed{-1536}[/tex]
A ball is thrown upward from the balcony of a building and falls to the ground. The height of the ball h meters, above the ground after t seconds is modelled by the function h(t) = -5t^2 + 15t + 45 what is the maximum height?
Answers
Answer:
56.25metres
Step-by-step explanation:
Given the height of the ball h meters, above the ground after t seconds modeled by the function h(t) = -5t^2 + 15t + 45, at maximum height, the velocity is zero, hence;
dh/dt = 0
Since dh/dt = -10t + 15
-10t+ 15 = 0
-10t = -15
t = 15/10
t = 3/2
t = 1.5secs
Substitute t = 1.5 into the expression given
h(1.5) = -5(1.5)^2 + 15(1.5) + 45
h(1.5) = -5(2.25)+22.5+45
h(1.5) = -11.25+67.5
h(1.5) = 56.25
Hence the maximum height is 56.25metres
Solve: [tex]x=4+\left(4x-4\right)\frac{1}{2}[/tex]
x = 2
x = 10
x = 2 or x = 10
no real solution
Answers
Answer: x = -2
Step-by-step explanation:
[tex]x=4+(4x-4)\frac{1}{2} \\x=4+\frac{4x}{2}-\frac{4}{2}\\x=4+2x-2\\x=2+2x\\x-2x=2\\-x=2\\x=-2[/tex]
Explanation:
what is the answer to f (x) = 4x + 11
Answers
Step-by-step explanation:
x=4x+11
11=4x-x
11=3x
x=11/3
x=37
A clínica odontológica Dentes Felizes calcula o valor de seus atendimentos a partir de uma taxa fixa de R$ 100,00 e R$ 60,00 por cada obturação.
Answers
Answer:
$ 100 + $ 60 y
Step-by-step explanation:
The dental clinic Dentes Felizes calculates the value of its services based on a fixed fee of R$ 100.00 and R$ 60.00 for each filling.
Let the total number of fillings is y.
The total cost of fillings = $ 60 x y = $ 60 y
The total cost of the treatment = $ 100 + $ 60 y
What is the decimal equivalent of
9
22
?
Answers
= 9 ÷ 22
= 0.40909090909091
That's literally all there is to it! 9/22 as a decimal is 0.40909090909091.
A softball pitcher throws a softball to a catcher behind home plate. The softball is 3 feet above the ground when it leaves the pitcher's hand at a velocity of 50 feet per second. If the softball's acceleration is –16 ft/s2, which quadratic equation models the situation correctly?
Answers
Answer:
The function is:
[tex]f(t) = -16t^2 + 50t + 3[/tex]
Step-by-step explanation:
Given
[tex]height = 3ft[/tex]
[tex]velocity = 50ft/s[/tex]
[tex]acceleration = -16ft/s^2[/tex]
Required
The function
Let t represents time;
So, we have:
[tex]f(t) = acceleration * t^2 + velocity * t + height[/tex]
So, we have:
[tex]f(t) = -16* t^2 + 50* t + 3[/tex]
[tex]f(t) = -16t^2 + 50t + 3[/tex]
Answer:
b on edge
Step-by-step explanation:
Evaluate the expression. 24.32
Answers
2^4×3^2 = 144
___________
Answer:
144 would be the answer.
Step-by-step explanation:
Question:- [tex]2^{4}[/tex] · [tex]3^{2}[/tex]
[tex]2^{4}[/tex] = 2 x 2 x 2 x 2
= 4 x 2 x 2
= 8 x 2
= 16
[tex]3^{2}[/tex] = 3 x 3
= 9
So, [tex]2^{4}[/tex] · [tex]3^{2}[/tex] = 16 x 19
= 144
At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2
pahelp naman po :<
Answers
Answer:
E = 7.30 J
PE = 7.30 J
KE = 0
Step-by-step explanation:
Given;
maximum height, h = 1.2 m
mass of the object, m = 0.62 kg
velocity, v = 0 m/s
acceleration due to gravity, g = 9.81 m/s²
To determine;
total energy, E =?Potential energy, PE =?Kinetic energy, KE =?The potential energy, PE = mgh
PE = 0.62 x 9.81 x 1.2
PE = 7.30 J
The kinetic energy, KE = ¹/₂mv²
KE = ¹/₂ x 0.62 x 0
KE = 0
The total mechanical energy, E = PE + KE
E = 7.30 J + 0
E = 7.30 J
help with this plzzzz, i need perimeter and area plzzzz steps if possible will mark brainlest!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Area: 125
Perimeter: 60
Step-by-step explanation:
I got this answer by calculating the area and perimeter. To find the area, multiply length x width. To find the perimeter, you have to add your length and width two times.
For a right triangle ABC, you are told that cos A = x and sin A = y. Which option below gives an expression that is equivalent to tan A? a. x/y b. y/x c. x/√x^2+y^2 d. y/√x^2+y^2
Answers
Answer:
B
Step-by-step explanation:
We know that
cos A = adjacent / hypotenuse
sin A = opposite / hypotenuse
Therefore, sin A / cos A =
(opposite / hypotenuse) / (adjacent / hypotenuse)
= (opposite/hypotenuse) * (hypotenuse / adjacent)
= opposite / adjacent
= tan A
Therefore, tan A = sin A / cos A = y/x
Question 9 of 10 What is the slope of the line shown below? A. 4 B.-1/4 C.1/4 D.-4
Answers
Answer:
c = 1/4
-1-1 = -2
-3-5 = -8
Step-by-step explanation:
Please help. I am really stuck on this little problem. I need to find the domain and Range for this graph.
Answers
Answer:
This isn't the answer but if you can take a pic of this and put it in this app called "Math-way" or "Photo-math" those help me
if 2^a =0.5 and 5^b=125, what is the value of a^b +b^a?
Answers
9514 1404 393
Answer:
-2/3
Step-by-step explanation:
2^a = 0.5 = 2^-1 ⇒ a = -1
5^b = 125 = 5^3 ⇒ b = 3
Then the expression a^b +b^a is ...
a^b +b^a = (-1)^3 +3^(-1) = -1 +1/3 = -2/3
Plz help as quick as possible!
Answers
average =65%
average = (60+70)/(100+100)*100
= 130/200*100
= 65%
2x+y=8
x+y=4
Where do they intersect at?
Answers
Answer:
[tex]{ \bf{2x + y = 8 - - - (a)}} \\ { \bf{x + y = 4 - - - (b)}} \\ a - b : \\ x = 4 \\ 4 + y = 4 \\ y = 0 \\ { \tt{they \: intersect \: at \: (4, \: 0)}}[/tex]
The equation below has one solution. 9 x minus 10 = 3 x + 2 What is the solution to the equation? –2 –1 1 2
Answers
9x-10=3x+2
-3x. -3x
6x-10=2
+10 +10
6x=12
———
x=2
Answer:
x=2
Step-by-step explanation:
Still struggling with this.
Answers
Answer:
22
Step-by-step explanation:
You add up the value of each X and you get a final answer of 22. Have a great day!
. You have a job as a salesman. You make $15.00 an hour (h) plus a
commission of 5.5% on all of your sales (s). Create an equation that
will show your pay (p) based upon your hours (h) worked and sales
(s).
Answers
Answer:
wait what
Step-by-step explanation:
Which of the following is not a proportional liner relationship?
Answers
=========================================================
Explanation:
A proportional linear relationship is of the form y = kx
We can solve for k to get k = y/x.
Based on that, we can prove a table is a proportional linear relationship if and only if each column of x,y values divide to the same number.
Choice A shows that y/x = 2/8 = 1/4 for the first column; however, y/x = 8/16 = 1/2 for the second column. The outputs 1/4 and 1/2 not being the same indicates we don't have a constant k value for all of the columns. This is sufficient to show that table A is not a proportional linear relationship.
-------------
In contrast, table B is a proportional linear relationship because we have these four divisions that lead to the same value (1/8)
Column One: y/x = 2/16 = 1/8Column Two: y/x = 4/32 = 1/8Column Three: y/x = 6/48 = 1/8Column Four: y/x = 8/48 = 1/8Showing that k = 1/8 for table B. The equation here is y = (1/8)x. We can rule out choice B.
I'll let you check out tables C and D on your own, but you should find that a similar situation shows up as did with table B. This indicates tables C and D are also proportional linear relationships. We can rule out choices C and D.
PLEASE PLEASE HELP ILL GIVE BRAINLY
Answers
Answer:
In this case, we can do substitution.
Step-by-step explanation:
For the first one, (s - t)(x) = ((x - 5) - 4x^2)(x) = x^2 - 21x
For the second one, (s*t)(x) = ((x - 5) *4x^2)(x) = 4x^4 - 20x^3
And for the last one, (s+t)(-2) = ((x - 5) + 4x^2)(-2) = -8x^2 - 2x + 10
Hope your happy with the answer :)
