Part 1: Mapping Diagrams
Look at the mapping diagrams below, which represent two different relations. The relation on the
left is a function since each value in the blue set is paired with one value in the yellow set. For
the function on the left, the domain is {0, 1, 2, 3) and the range is {0, 1.69, 3.38, 5.07).
1. Is the relation on the right a function? Explain.
20
70
-60
3
-6
2
5
Answers
Based on the definition of a function,
1. The relation on the right is not a function.
2. Domain: {20, 70, -60}
Range: {3, -6, 2, 5}
What is a Function?A relation that is defined as a function has each domain value that is assigned to only one possible range value, in such a way that, each of the domain element cannot have two different range element that corresponds to it.
1. The relation on the right has a domain element, -60, which corresponds to two different range element, -6 and 2.
Therefore, the relation on the right is not a function.
2. The domain of the relation that is not a function is: {20, 70, -60}
The range of the relation that is not a function is: {3, -6, 2, 5}
In summary, based on the definition of a function,
1. The relation on the right is not a function.
2. Domain: {20, 70, -60}
Range: {3, -6, 2, 5}
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Related Questions
To pay for a home improvement project that totals $9,000, Genesis is choosing between taking out a simple interest bank loan at 9% for 3 years or paying with a credit card that compounds monthly at an annual rate of 18% for 7 years. Which plan would give Genesis the lowest monthly payment?
The monthly credit card payment would be $295, which is lower than the monthly payment on the bank loan.
The monthly payment on a bank loan would be $272.50, which is lower than the monthly credit card payment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
The monthly credit card payment would be $374.21, which is lower than the monthly payment on the bank loan.
Answers
well, first off, let's see how much each one costs per month.
so, hmmm if she goes with the Bank loan at 9% for 3 years
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$9000\\ r=rate\to 9\%\to \frac{9}{100}\dotfill &0.09\\ t=years\dotfill &3 \end{cases} \\\\\\ A=9000[1+(0.09)(3)] \implies \boxed{A = 11430}[/tex]
now, that's for 36 months, so she'd be owing the Bank per month [tex]\cfrac{\stackrel{total}{11430}}{\underset{months}{36}}~~ = ~~\text{\LARGE 317.5}[/tex]
now let's take a look at the Credit Card's loan at 18% for 7 years
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$9000\\ r=rate\to 18\%\to \frac{18}{100}\dotfill &0.18\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &7 \end{cases} \\\\\\ A=9000\left(1+\frac{0.18}{12}\right)^{12\cdot 7} \implies A \approx \boxed{31433.31}[/tex]
now, in 7 years there are 84 months, thus [tex]\cfrac{\stackrel{total}{31433.31}}{\underset{months}{84}}\approx \text{\LARGE 374.21}[/tex]
so, the Bank will give her a better deal per month, and to be honest altogether.
The plan with simple interest will give the lowest monthly repayment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
Option C is the correct answer.
What are simple interest and compound interest?Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.
Compound interest is the interest that is made from the principal and the interest as well in consecutive years.
We have,
Simple interest:
Principal = $9000
Rate = 9%
Time = 3 years
Simple interest:
= P x R x T / 100
= 9000 x 9 x 3 / 100
= 2430
Amount = simles interest + principal
A = 9000 + 2430 = $11430
3 years = 36 months
Monthly payment = 11430 / 36 = $317.5
Compound interest:
Principal = $9000
Rate = 18%
Time = 7 years
A = P [tex](1 + \frac{18}{100}) ^{7}[/tex]
A = 9000 [tex](1 + 0.18) ^{7}[/tex]
A = 9000 x3.19
Amount = $28,710
7 years = 84 months
Monthly payment = 28710 / 84 = $341.78
Thus,
The plan with simple interest will give the lowest monthly repayment.
The monthly payment on a bank loan would be $317.50, which is lower than the monthly credit card payment.
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(c) Solve the equation 7x³ +28x² = 0
Answers
Answer:
x = - 4 , x = 0
Step-by-step explanation:
7x³ + 28x² = 0 ← factor out 7x² from each term on the left side
7x²(x + 4) = 0
equate each factor to zero and solve for x
7x² = 0 ⇒ x² = 0 ⇒ x = 0
x + 4 = 0 ⇒ x = - 4
True/False: Negative numbers closed under subtraction.
Provide an example if false.
Answers
The statement is false .
let ; n=-5
m=-6
n - m= -5 -( -6 )
= -5 + 6
= 1
which is not a negative real number .
therefore it shows that negative real number are not closed under substrsction.
the process or skill of taking one number or amount away from another.
Example: 7-5=2
7 is a minuend
5 is a subtrahend
and 2 is a differenceSubtraction is an arithmetic operation that represents the operation of removing objects from a collection.
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can someone help me solve this problem?
Answers
Answer:
no
Step-by-step explanation:
x=5
5(5+2)=35
8(5)-3=37
37 does not equal 35
[tex]Answer: Q\ is\ not\ midpoint\ of\ \overline {PR}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\\overline {PQ}+\overline {QR}=\overline {PR}\\5(x+2)+(8x-3)=72[/tex]
Expand the parentheses on the left side of the equation:
x(5)+2*(5)+8x-3=72
5x+10+8x-3=72
13x+7=72
13x+7-7=72-7
13x=65
Divide both parts of the equation by 13:
x=5
Hence,
5(5+2)=
5(5)+2(5)=
25+10=
35
8(5)-3=
40-3=
37
35≠37
|−5| − (−9) I need help asap!!!
Answers
Answer:
14
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a
- (- ) = + given
| - 5 | - (- 9)
= 5 + 9
= 14
Answer:
14
Step-by-step explanation:
Be extremely careful with absolute values, parentheses, and subtraction.
[tex]\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14[/tex]
can someone answer this please, thank you
Answers
Answer:
9x
Step-by-step explanation:
EF = 3x
FG is three times longer ....then FG = three * EF = 3 * 3x = 9x
If f(x) = 4x20, what is f(4)?
Answers
Answer:
320
Step-by-step explanation:
Plug the 4 into x and go from left to right:
4 times 4 is 16 times 20 is 320
2) How many distinguishable letter arrangements can be made from the letters in:
a) FLUKE?
b) PROPOSE?
Answers
Answer:
for "FLUKE" its 5! = 120
and "PROPOSE" its 7! /2!×2! = 1260
Step-by-step explanation:
"FLUKE" has no repeating letters.
"PROPOSE" has two repeating letters.
we divide by the repeating letters like I did on "PROPOSE" .
THANK YOU.
Simplify the following expression.
(13x + 9y) + (38x + 33y)
-----------------------------------
22x + 42y (A)
22x + 46y (B)
51x + 42y (C)
51x + 46y (D.)
Answers
Answer:
C: 51X+42Y
13x + 38x + 9y + 33y
adding,
51x + 42y so option C
13x + 9y + 38x + 33y
2) add the like terms
13x + 38x + 9y + 33y
= 51x + 42y
Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (let |a| = 26 lb a
Answers
Magnitude of the resultant vector = 31.3 lb and Angle of the resultant vector = 23.3o are the magnitude of the resultant force and the angle .
what is magnitude of forces?
The amount that encapsulates the force's strength is known as its magnitude. Consider the following scenario: the force is 10 N in the east. The direction is indicated by "towards east," while the force is indicated by "10." Magnitude can be thought of as simply the "value" or "amount" of any physical quantity.a = 26 lb
Angle made by the vector 'a' = θ1 = 45o
Component of vector 'a' in the X-direction = ax = aCosθ1 = (26)Cos(45) = 18.38 lb
Component of vector 'a' in the Y-direction = ay = aSinθ1 = (26)Sin(45) = 18.38 lb
b = 12 lb
Angle made by the vector 'b' = θ2 = 30o
Component of vector 'b' in the X-direction = bx = bCosθ2 = (12)Cos(30) = 10.39 lb
Component of vector 'b' in the Y-direction = by = -bSinθ2 = -(12)Sin(30) = -6 lb
Let the resultant vector be 'c'
Component of vector 'c' in the X-direction = cx
cx = ax + bx
cx = 18.38 + 10.39
cx = 28.77 lb
Component of vector 'c' in the Y-direction = cy
cy = ay + by
cy = 18.38 + (-6)
cy = 12.38 lb
c=104)2 + (cy)
c= (28.77)2 + (12.38)2
c = 31.3 lb
Angle made by vector 'c' = θ
Tanθ =
Tanθ = 12.38 28.77
θ = 23.3o
a) Magnitude of the resultant vector = 31.3 lb
b) Angle of the resultant vector = 23.3o
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THE COMPLETE QUESTION IS -
Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 26 lb and b = 12 lb. Round your answers to one decimal place.)
Given the check digit is 3, find the missing number X for the Mater card number 5164 2X13 2705 0183?
SHOW WORK . please help!
Answers
Answer:
9
Step-by-step explanation:
So there's 3 1's, 2 2's, 2 3's, 1 4, 2 5's, a 6, a 7, an 8, 2 0's, and no 9's.
1 of 6
01:52 / 08:00
When this expression is simplified, what is my final answers
-5(2x - 5)
O 10x + 25
O 52x - 25
O-7x + 25
O-10x + 25
Answers
Answer:
-10x + 25
Step-by-step explanation:
We will distribute the - 5 in to 2x which is - 10x
Then distribute - 5 to - 5 which is 25
Help? Anyone pls. I'd give brainliest
Answers
Answer:
3/2
Step-by-step explanation:
xy= -2 X -3
= 6
z = 4
so xy/z is 6/4 which is 3/2.
What is the value of x
Answers
Answer: 68
Step-by-step explanation: do 75+37 which equals 112 then subtract 180 by 112 which equals 68
hope this helps
Answer:
A
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , then
x + 37° + 75° = 180° , that is
x + 112° = 180° ( subtract 112° from both sides )
x = 68°
-4/7+ 2/7x - 14x+4/7
Answers
Answer:
-96/7x or 13.714x
Step-by-step explanation:
-4/7+ 2/7x - 14x+4/7
first we do
4/7-4/7 which is zero, so we can cancel those out.
then we do
2/7x-14x ( or you can do -14x+2/7, it’s the same thing
use your calculator to make this easier. if you look you’ll be able to find a fraction button on most
after we do 2/7x-14x , we get -96/7x
if you want it in a fraction just divide and you’ll get -13.714x
A sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat. what is the percent of fat in this hamburger sample?
Answers
The percentage of fat in this hamburger sample is 15 %.
What is percentage ?Percentage is the value per hundredth.
According to the given question a sample of hamburger had a total mass of 200. g, of which 30.0 g was found to be fat.
To find what percentage of the hamburger contains fat we put amount of fat in the numerator and total amount on the denominator and multiply this fraction by 100 to obtain the result in terms of percentage.
∴ (30/200) × 100
= 3000/200
= 30/2
= 15 %.
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Free watermelon mint recipe
Watermelon Mint Recipe
Ingredients:
1 ½ cups fresh lemon juice
1 cup sugar
4 cups water
2 cups watermelon juice
½ cup roughly chopped mint leaves
Ice
Instructions:
Squeeze and strain lemons into a pitcher.
Stir in sugar until sugar is completely dissolved.
Add water and mint leaves and stir.
Pour in watermelon juice (if using whole watermelon, puree it first then run it through a strainer).
Garnish with lemon slices, mint leaves, or watermelon.
Drink up!
Answers
Answer:Sounds delicious
Step-by-step explanation:
Sounds nice, ill make this
cuál es el doble de 5.85
Answers
Answer:
11.7
Step-by-step explanation:
5.85 * 2 =11.7
5.85x5.85=11.7.
The function f is defined by the following rule
f(x)=2x-1
Complete the function table
Answers
The value of the function at x = -3, -2, 0, 1, and 5 will be -7, -5, -1, 1, and 9, respectively.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The function is given below.
f(x) = 2x - 1
The value of the function at x = - 3 will be
f(-3) = 2(-3) - 1
f(-3) = - 6 - 1
f(-3) = - 7
The value of the function at x = - 2 will be
f(-2) = 2(-2) - 1
f(-2) = - 4 - 1
f(-2) = - 5
The value of the function at x = 0 will be
f(0) = 2(0) - 1
f(0) = 0 - 1
f(0) = - 1
The value of the function at x = 1 will be
f(1) = 2(1) - 1
f(1) = 2 - 1
f(1) = 1
The value of the function at x = 5 will be
f(5) = 2(5) - 1
f(5) = 10 - 1
f(5) = 9
The value of the function at x = -3, -2, 0, 1, and 5 will be -7, -5, -1, 1, and 9, respectively.
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1) 3 (x - y)² - 10 (x-y) + 8
Answers
Answer:
[tex](3x-3y-4)(x-y-2)[/tex]
Step-by-step explanation:
Given expression:
[tex]3(x-y)^2-10(x-y)+8[/tex]
Let u = (x - y):
[tex]\implies 3u^2-10u+8[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex] find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex]:
[tex]\implies ac=3 \cdot 8=24[/tex]
[tex]\implies b=-10[/tex]
Therefore, the numbers are: -6 and -4.
Rewrite [tex]b[/tex] as the sum of these two numbers:
[tex]\implies 3u^2-6u-4u+8[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 3u(u-2)-4(u-2)[/tex]
Factor out the common term (u - 2):
[tex]\implies (3u-4)(u-2)[/tex]
Substitute back in u = (x - y):
[tex]\implies (3(x-y)-4)((x-y)-2)[/tex]
Simplify:
[tex]\implies (3x-3y-4)(x-y-2)[/tex]
Solve the equation. Check your answer. 22 = 6x + 1 -3x what does x equal?
Answers
Answer:
7
Step-by-step explanation:
22=6x+1-3x
21=6x-3x
21=3x
7=x
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer: y =
X
y
0
-8
1
2
3 4
28
1 10 19
Submit Answer
Answers
Answer:
xxx 20
Step-by-step explanation:
PLEASE HELP ASAPPP !!! WILL GIVE BRAINLIEST AND 5 STAR RATING
Answers
Answer:
1/3
Step-by-step explanation:
is this false, i think maybe because you cant factor the right side. am i right
Answers
Answer:
its true
Step-by-step explanation:
You arrive in Tokyo with $320. How many yen can you buy ?
Answers
Answer:
You can buy 31788.8 with $320.
Step-by-step explanation:
To calculate this, we know that yen is 0.01007 dollars per foreign. We also know that 1 dollar = 99.34 So, therefore you will multiply 320 * 99.34 and you will get 31788.8 Yen.
I hope this helps and have a good day! :D
i need help in algebra gang i pay 30 a month help mee
Answers
Answer:
2c+2
The number that will go in the green box is 2.
Step-by-step explanation:
3c-1-c+3
Combine the like terms.
3c-1-c+3=2c+2
Hope this helps!
Please mark as brainliest if correct!
Peter is 10 years old and is 5 years younger than half his dad's age. If his dad is Z years old, what is Z?
Answers
Answer:
Z = 30
Step-by-step explanation:
trust me bro
fhfhfhfhhffh
Answer:
Please give brainliest if you think it applies
30
Step-by-step explanation:
Z/2 -5 = 10
Add 5 to both sides
Z/2 = 15
Multiply both sides by 2
Z = 30
The value of 5x +3=20
Answers
Answer:
x = 17/5
Step-by-step explanation:
5x + 3 = 20
5x + 3-3 = 20 - 3
5x = 17
divide both by 5
How long will it take you to bike 225 miles at
a
speed of 15 miles per hour?
Am I supposed to divide
Answers
Answer:
15
Step-by-step explanation:
225/15
which expressions below equal a rational number? select all that apply.
Answers
The expressions that are equal to a rational number are [(2/3)+(4/5)], [(√3) - (√3)], and [(√49)(√1)].
A rational number is one that can be stated as the ratio of two numbers, with the denominator not equal to zero.All real numbers that are not rational numbers are referred to as irrational numbers. The ratio of two integers cannot be used to express irrational values.(a) π√4π√4 is equal to 2π, which is an irrational number.(b) (2/3)+(4/5)(2/3)+(4/5) = (22/15), which is a rational number.(c) (√36)-(√5)(√36)-(√5) = 6-√5, which is an irrational number.(d) (√3)-(√3)(√3)-(√3) = 0, which is a rational number.(e) (√49)(√1)(√49)(√1) = 7*1 = 7, which is a rational number.To learn more about real numbers, visit :
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