Answer:
The function is injective but nor surjectiveStep-by-step explanation:
We see that:
f(x) = x³For any x₁ and x₂ ∈ N,
f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbersIt it confirmed one-to-one, hence it is injective
Check the surjectivity:
f(x) = y ∈ N
x³ = yy = ∛xLet y = 2, then:
2 = x³x = ∛2 ∉ NSince x is not natural, the function is not surjective
Answer:
This function is injective only.
Step-by-step explanation:
N = natural numbers = positive whole numbers equal to or greater than 1.
Therefore [tex]N \rightarrow N[/tex] means that both the input and output are natural numbers.
A function is surjective if for every element in the codomain, there is at least one element in the domain.
Therefore, this function is NOT surjective. For example, there is no natural number for x for which f(x) = 2.
A function is injective if for every element in the codomain, there is at most one element in the domain. This is also called "One-to-One".
Therefore, this function IS injective as there is either none or only one value of x for each value in the codomain.
jk, kl, and lj are all tangent to o ja = 10, and ck = 14 find the perimeter of triangle jkl
Answer:
JK, KL, and LJ are all tangent to circle O. JA = 9, AL= 10, and CK= 14. What is the perimeter of triangle JKL?
Step-by-step explanation:
Write the equation of the given line in slope-intercept form:
Answer:
y=-3x - 1
Step-by-step explanation:
On a recent statistics exam at a large university, 35 of 50 students in one section passed the exam.
What is the mean and standard deviation of the proportion of those who passed the exam?
A. Mean = 70%; standard deviation = 3.5%
B. Mean = 70%; standard deviation = 6.48%
C. Mean = 70%; standard deviation = 4.2%
Answer:
answer is c
Step-by-step explanation:
i know
NEED HELP ASAP DUE SOON!!!!
Answer:
Step-by-step explanation:
We can easily get 'a' in the equation by setting x to zero which will get rid of the b variable leaving us with:
a = 2
Now for b, we know the second point is (1,6), so let's plug it into the function
6 = 2 * b^1
b = 3
Thus the function is [tex]y = 2*3^{x}[/tex]
Hope that helps!
the third part lol helppppppppppppppppppppppppppppppppppppppppp
answer:
n = [tex]-\frac{3}{2}[/tex]Explanation:
→ [tex]4(n+10) = 34[/tex]
→ [tex]\frac{4(n+10)}{4} = \frac{34}{4}[/tex]
→ n + 10 = [tex]\frac{17}{2}[/tex]
→ n = [tex]\frac{17}{2} -10[/tex]
→ n = [tex]\frac{17-20}{2}[/tex]
→ n = [tex]\frac{-3}{2}[/tex]
Answer:
[tex]\sf n=\dfrac{-3}{2}[/tex]
Step-by-step explanation:
Given equation: 4(n + 10) = 34
Step 1: Expand the expression.
[tex]\sf \implies \boldsymbol{\sf 4(n + 10)} = 34[/tex]
[tex]\sf \implies \boldsymbol{\sf 4(n) + 4(10)} = 34[/tex]
[tex]\sf \implies 4n + 40 = 34[/tex]
Step 2: Subtract [tex]\sf 40[/tex] from both sides and combine like terms.
[tex]\sf \implies 4n + 40 - 40 = 34 - 40[/tex]
[tex]\sf \implies 4n = -6[/tex]
Step 3: Isolate the variable ([tex]\sf n[/tex]) (simply if necessary).
[tex]\sf \implies \dfrac{4n}{4} = \dfrac{-6}{4}[/tex]
[tex]\sf \implies n=\dfrac{-6}{4} = \dfrac{-3}{2}[/tex]
video store charges $12 for used games and $25 for new games. Jonathan has saved $300 to spend on video games. This scenario is represented by a linear equation.
12x + 25y = 300
x = number of used games
y = number of new games
How many games can Jonathan buy if he spends all his money on used games?
Answer:
He can spend games at a rate of y = -0.48x + 12
Step-by-step explanation:
12x + 25y = 300
Move the 12x on the other side.
25y = -12x + 300
Divide the 25y with everything.
y = -0.48x + 12
will deposited $1550 in an account that pays 8% annually. How much would be in the account at the end of 24 months?
Answer:
$1798
Step-by-step explanation:
You take the money of 1550 and multiply the 16% for the 2 years, which is just 1.16 and you get 1798
A $3,000 loan is taken out for 12% interest for 6 months. What is the amount of interest charged?
A. $36.00
B. $90.00
C. $180.00
D. $270.00
Answer:
$180
Step-by-step explanation:
Simple interest → ( principal * rate of interest * time in years ) ÷ 100
Here the principal is $3,000, rate of interest is 12%, years in years will be
(6/12) = 0.5 years
Using the formula:
Interest charge → ( 3,000 * 12 * 0.5 ) ÷ 100
→ ( 18000 ) ÷ 100
→ $180
Pls pls pls pls pls pls help me I’ll help you
Answer:
minimum of -3
Step-by-step explanation:
Because that is the lowest point on the graph
Help please thank you.
Step-by-step explanation:
13b. Ariel is a customer.
14a. Obeying traffic rules saves lives.
15c. Mr. Aries is a lawmaker.
Find the slop of the line in the graph
Answer:
2y and -3x
Step-by-step explanation:
y3-1
/
-x2-x1
I need an explanation on how to work this out
Evaluate the expression rs + 14s when r = 6 and s = 1/4.
Answer:
5
Step-by-step explanation:
We have to substitute r and s with the values given:
Now we can make an equation with our new values:
(6×1/4)+(14×1/4)
Now we do one bracket at a time (I put brackets to show that you need to do them separately, you don't need to have brackets)
1.5+3.5=5
find the value of "x" in the following
(a) 60° (b) 125°
Step-by-step explanation:-
a)Given are three [tex]x[/tex]'s, so,
[tex]3x = 180[/tex](As all sides of triangle add upto 180°)
[tex] = > x = \frac{180}{3} [/tex]
[tex] = > x = 60[/tex]
Hence, value of x is 60°
b)Given two interior angles(55°,70°) & one exterior angle([tex]x[/tex]°)
[tex] = > x° = (55 + 70)°[/tex]
[tex] = > x° = 125°[/tex]
Hence, value of x is 125°
Members of a lacrosse team raised $1793.50 to go to a tournament. They rented a bus for $757.50 and budgeted $64.75 per player for meals. Write and solve an equation which can be used to determine
x
x, the number of players the team can bring to the tournament.
Answer:
They can bring 16 students to the tournament
Step-by-step explanation:
$1793.50 - $757.50 = 1063
$1063 / $64.75 = 16
Answer:
16 students
Step-by-step explanation:
Hello :)
This question gave us a flat charge of 757.50 dollars for the bus, which means it does not depend how many members of the lacrosse team ride the bus.
However, the meals cost 64.75 per member.
So to make an equation, the bus charge would be the y-intercept (If no member went, they still paid for the bus fee) and the meals would be the slope (since it is dependent on how many members ride the bus.)
The total would add up to be 1783.50, so the equation would be:
1793.50=64.75x+757.50 where x=the number of players the team can bring to the tournament without going outside of their budget
Let's solve now.
1793.50=64.75x+757.50
-757.50 -757.50
1036=64.75x
x=16
please help, quick, this is my last question
Answer:
5/2 I think bec a was moved to 1/1 before it was 6/3
Solution to the inequality 3x<0
Answer:
the inequality form is x<0
Step-by-step explanation:
you would divide both sides by 3 And then simplify
Calculate the following problem
what is 24 plus 12 minus 53 plus 100 and the divide it by 2
Answer:
33
Step-by-step explanation:
Answer:
(4.5)
Step-by-step explanation:
i hope its help
brainliest me
#CARRYONLEARNING
use solve for θ and round to the nearest tenth
1) sinθ=0.99
2) tanθ=0.27
3) cosθ=0.39
4) tanθ=0.87
5) sinθ=0.08
Answer:
2 tan0 have fun hope it helps you
Step-by-step explanation:
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How many composite numbers are between 1 and 100?
Answer:
74 is the answer to your question.
Hope this helps!
Step-by-step explanation:
74 is the answer to your question
PLEASE ANSWER WILL GIVE BRAINLIEST IF CORRECT!!!
The figure below is a net for a triangular pyramid. If all the triangles are equilateral, what is the surface area of the pyramid, in square centimeters?
Answer:
14.84 is the answer
Step-by-ste14.84 is the answerp explanation:
14.84 is the answer
What sentence represents this equation?
413=11−x
11 decreased by 413 is the same as a number.
413 is the same as a number decreased by 11.
413 is the same as 11 decreased by a number.
A number is the same as the difference of 11 and 413.
Answer:
option b
Step-by-step explanation:
413 is the same as a number decreased by 11 because when you say 11 is decreased by a number that means we are subtracting a number from 11 but when you say a number is decreased by 11 it means 11 is being subtracted from a certain number to give 413
I Hope this helps
Which inequality correctly represents the expression? The quotient of k and 9 is less than 1.
When a figure rotates around a point, this point is called the
Answer:
A image
B. origin
C. graph
D. center of rotation
Answer:
Your answer is D. center of rotation!
Step-by-step explanation:
A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . The amount of rotation is called the angle of rotation and it is measured in degrees.
approximate the square root of 110
Answer:
10.4880885 or 10.5
Step-by-step explanation:
The square root of 110 is a decimal ... 10.4880885
If we round up it will be 10.5
Answer:
10.488 to nearest thousandths
Step-by-step explanation:
If you mean using a calculator, sqrt(110) is approximately 10.488.
If you mean by hand (unlikely), there are methods such as Newton-Raphson method that converge quite quickly (after around 10 iterations it's basically no different than your calculator)
Ashley needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 5 hours and charged her
$171 for parts. The total was $796. Write and solve an equation which can be
used to determine x, the cost of the labor per hour.
Equation:
Answer: X =
what is the long leg of a 30 60 90 triangle when the hypothesis is 8 root 6
Factor: 10m^3 + 12m^2-35m -42
we are doing factoring trinomials and factor by grouping
Answer:
( 5m + 6 ) ( 2m² - 7 )
Step-by-step explanation:
please refer the image
What is the first step in solving 31 + 2 - 8(3)
Answer:
[tex]31 + 2 - 8(3) \\ \\ = 31 + 2 - 24 \\ \\ 33 - 24 \\ \\ = 9[/tex]
# be careful#
Answer:
Multiply 8x3
Step-by-step explanation:
Orders of operations state that parenthesis should be the first step in solving an equation
P-parenthesis
E-exponents
M- multiplication
D-division
A- addition
S- subtraction
5) A farmer raises turkeys and pigs. There are 15 animals all together. The farmer
counts 34 legs on these animals. How many of each type of animal does the farmer
have? (See #7 in Notes)
t-turkey
p-Pigs
Answer:
2 pigs, 13 turkeys
Step-by-step explanation:
34=2t+4p (equation for legs)
t+p=15 (equation for total # of animals) --> t=15-p
substitution:
34=2(15-p)+4p
p=2
plug back in to other equation
t=15-(2)
t= 13
What is the equation of the line?
Answer: 5x + 4y - 6 = 0
Step-by-step explanation:
Find the slope of the line by finding 2 points that are on the line
(-2,4) and (2,-1)
(4--1)/(-2-2) = 5/-4
y = -5x/4 + c
Substitute (2,-1)
-1 = -10/4 + c
6/4 = c
So the equation is y = (6-5x)/4
4y = 6-5x
5x + 4y - 6 = 0
(Side note: So many people are asking about line equations)