Answers
Apply the vertical line test. Think of a vertical line moving from left to right in the graph. If the graph of the relation intersects the vertical line in more than one point in any position of the vertical line, then the relation is not a function.
The only graph that passes the vertical line test is the graph at the bottom right.
The graph at the bottom right is a function. All others are not.
Related Questions
Jerry walked a dog from 6:40 am to 7:30am . If he was paid $6 per hour how much did he earn
Answers
Answer:
Amount Jerry earned is $5
Step-by-step explanation:
Jerry is paid $6 per hour.
First we need to find the number of hours he walked the dog.
From 6.40 am to 7.30 am we have 50 minutes. Jerry walked the dog for 50 minutes.
An hour has 60 minutes.
We need to find how much Jerry gets paid for a minute.
Amount paid for a minute = [tex]\frac{$6}{60}[/tex]
=$[tex]0.1[/tex]
Therefore,
Amount paid for 50 minutes = $[tex]0.1[/tex] * [tex]50[/tex] minutes
=$[tex]5[/tex]
Keri walks her dog every morning the length of the walk is 0.55 km on each weekday on each weekend day the walk is 1.4 times as long as a walk on a weekday how many kilometers does keri walk in one week
Answers
Keri walks approximately 4.29 kilometers in one week.
Explanation:Keri walks her dog every morning. On weekdays, the length of the walk is 0.55 km. On weekends, the walk is 1.4 times as long as a walk on a weekday. To find out how many kilometers Keri walks in one week, we need to calculate the total distance she walks on weekdays and weekends.
Distance walked on weekdays = 0.55 km per day
Distance walked on weekends = 1.4 * 0.55 km per day = 0.77 km per day
Total distance walked in one week = (distance on weekdays * number of weekdays) + (distance on weekends * number of weekends)
Since there are 5 weekdays and 2 weekend days in a week, we can calculate the total distance:
Total distance walked in one week = (0.55 km * 5) + (0.77 km * 2) = 2.75 km + 1.54 km = 4.29 km
Keri walks approximately 4.29 kilometers in one week.
math help what is x? please keep
Answers
Apples = X
Pears = Y
3x+2y = 0.60
pears cost 2X-0.05 replace Y with this:
3X +2(2x-0.05) = 0.60
Simplify:
3X + 4X-0.10 = 0.60
Simplify:
7X -0.10 = 0.60
Add 0.70 to each side:
7X = 0.70
Divide both sides by 7:
X = 0.70 / 7
X = 0.10
Apples cost 0.10 each.
Pears cost 2x-0.05 = 2(0.10) - 0.05 = 0.20 - 0.05 = 0.15 each
Jennifer grandmother buys carrots at the farm stand she and her three grandchildren equally shares the carrots the total weight of the carrots is 28kg how many kilograms of carrots will jennifer get
Answers
Solution: We are given that the Jennifer's grandmother bought 28 kg of carrot.
Also we are given that 28 kg of carrot are to be divided into 4 persons.
Therefore, the number of kilograms of carrots that Jennifer will get is:
[tex]\frac{28}{4}[/tex]
[tex]7[/tex] kg
[tex]\therefore[/tex] Jennifer gets 7 kilograms of carrot.
If a and b are integers and 71 < ab < 76, then all of the following could be the values of b except: (A) 18 (B) 8 (C) 12 (D) 7 (E) 5
Answers
We are given that
a and b are integers and 71 < ab < 76
We will check each options
option-A:
b=18
we can plug it
[tex]71<a(18)<76[/tex]
we can divide both sides by 18
[tex]\frac{71}{18} <b<\frac{76}{18}[/tex]
now, we can simplify it
[tex]3.944<a<4.222[/tex]
Since, 'a' is a integer
so, a=4 lies on interval
so, this interval is true
so, this is FALSE
option-B:
b=8
we can plug it
[tex]71<a(8)<76[/tex]
we can divide both sides by 8
[tex]\frac{71}{8} <b<\frac{76}{8}[/tex]
now, we can simplify it
[tex]8.875<a<9.5[/tex]
Since, 'a' is a integer
so, a=9 lies on interval
so, this interval is true
so, this is FALSE
option-C:
b=12
we can plug it
[tex]71<a(8)<76[/tex]
we can divide both sides by 12
[tex]\frac{71}{12} <b<\frac{76}{12}[/tex]
now, we can simplify it
[tex]5.9166<a<6.333[/tex]
Since, 'a' is a integer
so, a=6 lies on interval
so, this interval is true
so, this is FALSE
option-D:
b=7
we can plug it
[tex]71<a(5)<76[/tex]
we can divide both sides by 7
[tex]\frac{71}{7} <b<\frac{76}{7}[/tex]
now, we can simplify it
[tex]10.14285<a<10.857[/tex]
Since, 'a' is a integer
so, no integer lies on this interval
so, this interval is false
so, this is TRUE
option-E:
b=5
we can plug it
[tex]71<a(5)<76[/tex]
we can divide both sides by 5
[tex]\frac{71}{5} <b<\frac{76}{5}[/tex]
now, we can simplify it
[tex]14.2<a<15.2[/tex]
Since, 'a' is a integer
so, a=15
so, this interval is true
so, this is FALSE
Please help with the question
Answers
Coordinates of the triangle ABC:
A(-2,2).
B(2,1)
C(-1,-2).
And the coordinates of the dilated triangle A'B'C':
A'(-4,4)
B'(4,2)
C'(-2,-4).
We can clearly see that each x and y-coordinate of triangle ABC is being multiplied by 2 to get the coordinates of triangle A'B'C'.
Therefore, triangle ABC is being dilated by a scale factor of 2.
The price of an item has been reduced by 85%. The original price is $39.What is the price of the item now?
Answers
GIVEN:- The actual price was $39. And it is reduced to 85%.
To prove :- After reducing the actual price.
SOLUTION:- Firstly we have to find 85% of $39
=> 39× 85/100
=> 39× 0.85
=> 33.15
Now the actual price after reducing is 39 - 33.15
=> 5.85
HOPE IT HELPED YOU.
To find the new price of an item that has been reduced by a certain percentage, multiply the original price by the percentage (converted to decimal form) to find the discount. Subtract this discount from the original price to get the new price. Therefore, the new price of the item originally priced at $39 and reduced by 85% is $5.85.
Explanation:This is a basic percentage problem in mathematics. The phrase 'reduced by 85%' implies that we are subtracting 85% of the original price from the original price itself. To find the discount, we multiply the original price by the reduction rate (in decimal form). Then, to get the final price, we subtract the discount from the original price. So, if the original price is $39 and the item has been reduced by 85%, then the discount would be $39. The calculation would look like this:
First, calculate the discount: $39 * 0.85 = $33.15.Then, subtract the discount from the original price to find the new price: $39 - $33.15 = $5.85.So, the new price of the item is $5.85.
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Which polynomial represents the difference below
(7x^2+8)-(4x^2+x+6)
A.3x^2+x+14
B.11x^2-x+2
C.3x^2+x+14
Answers
What is the factored form of the expression over the complex numbers?
121x^2+36y^2
(11x−6iy)(11x−6iy)
(11x+6y)(11x−6y)
(11x+6iy)(11x−6iy)
(11x+6iy)(11x+6iy)
Answers
It's the third answer. This is because since there is no middle term where both variables are combined, that would lead to the signs of the 2 factors to be different. However, that still leaves 2 answers, 3 and 2. If we were to square i, you would get -1. This is because √-1 is equal to i. i^2 would be -1. Since the sign in the unfactored expression is positive and not negative, that would mean that the i in the factoring turned it around. that leads us to believe that answer 3 is the correct answer.
This is my answer
Lydia is painting flower vases. Each vase takes 3?16 of a quart of paint. She has 21?2 quarts of paint. How many flower vases can she paint?
Answers
Answer:
56
Step-by-step explanation:
Given that Lydia is painting flower vases.
Paint required for painting one flower case = 3/16 quart
total paint available with Lydia = 21/2 quart
We have to find the no of flower cases that can be painted.
This is a problem of direct variation since when no of flower cases increase paint required also increases.
3/16 quart for 1 flower case
Hence 21/2 quart for 21/2 divided by 3/16
= 21*16/(3*2) (by rule for fraction division)
= 7(8)
= 56
Select all that apply.
To solve an equation with a variable, which of the follow are done?
Inverse operations are used
Addition is always used
The variable needs to be isolated
The value of the variable should be guessed first
Answers
answer is inverse operations are used
Answer:
The variable needs to be isolated and inverse operations are used.
For a store contest,4 out of every 65 people who visited the store will receive a free dvd. If 455 people visit the store, how many dvds were given?
Answers
Answer:
28 dvds were given if 455 people visit the store.
Step-by-step explanation:
4 out of every 65 people who visited the store will receive a free dvd.
Suppose, [tex]x[/tex] dvds were given if 455 people visit the store.
Now, according to the ratio of "people who got dvd" to "total number of people" , the equation will be.........
[tex]\frac{4}{65}=\frac{x}{455}\\ \\ 65x= 455*4=1820\\ \\ x=\frac{1820}{65}=28[/tex]
So, the number of dvds given is 28.
Answer:
28
Step-by-step explanation:
Given that there is a store contest. Out of 65 people who visit the store only 4 will be receiving a free dividend.
Remaining 61 will not receive.
There were 455 people who visited the stores.
Of these 455/65 times 4 persons would be given dividends.
i.e. Since 4 out of 65 would be given
no of visitors who received dividend= 455(4)/65 = 7(4) = 28
Hence answer is 28 persons would receive dividend.
What can be concluded about the sequence? The common ratio of the sequence is 2. The common difference of the sequence is 2. The next term of the sequence is represented by the point (5, 64). The next term of the sequence is represented by the point (5, –64).
Answers
The given information suggests that the sequence is a geometric sequence. The common ratio is 2, and the common difference is 2. The next term of the sequence can be found using the coordinates (5, 64) and (5, -64).
Explanation:The given information about the sequence suggests that it is a geometric sequence.
If the common ratio is 2, it means that each term is obtained by multiplying the previous term by 2.
If the next term is represented by the point (5, 64), it means that the 5th term of the sequence is 64. Using the formula for a geometric sequence, we can find the first term: a * (2^(5-1)) = 64, where a is the first term of the sequence.
Similarly, if the next term is represented by the point (5, -64), it means that the 5th term of the sequence is -64. Using the formula for a geometric sequence, the first term is -8.
Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
Answers
You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.
If the [tex] x^2 [/tex] coefficient is 1, i.e. the equation is written like [tex] x^2+bx+c=0 [/tex], then you can say the following about the coefficients b and c:
[tex] b [/tex] is the opposite of the sum of the roots[tex] c [/tex] is the multiplication of the roots.So, for example, if we want an equation whose roots are 4 and -2, we have:
[tex] 4+(-2) = 4-2 = 2 \implies b = -2 [/tex][tex] 4 \cdot (-2) = -8 \implies c = -8 [/tex]So, the equation is [tex] x^2-2x-8=0 [/tex]
If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:
[tex] \dfrac{3}{4}+\dfrac{1}{2} = \dfrac{3}{4}+\dfrac{2}{4} = \dfrac{5}{4} \implies b = -\dfrac{5}{4} [/tex][tex] \dfrac{3}{4} \cdot \dfrac{1}{2} = \dfrac{3}{8} \implies c = \dfrac{3}{8} [/tex]And so the equation is
[tex] x^2 - \dfrac{5}{4} + \dfrac{3}{8} = 0 [/tex]
In order to have integer coefficients, you can multiply both sides of the equation by 8:
[tex] 8x^2 - 10 + 3 = 0 [/tex]
Writing Polynomial Function Given a y-Intercept
Answers
We already got
f(x)= a(x-2)(x-3)(x-5)
We got [tex]a=\frac{1}{6}[/tex]
first we multiply the parenthesis in f(x)
f(x)= a(x-2)(x-3)(x-5)
[tex]f(x)= a(x^2-5x+6)(x-5)[/tex]
[tex]f(x) = a(x^3 - 10 x^2 + 31 x - 30)[/tex]
Replace the value of 'a'
[tex]f(x) = \frac{1}{6}(x^3 - 10 x^2 + 31 x - 30)[/tex]
Multiply 1/16 inside the parenthesis
[tex]f(x) = \frac{1}{6}x^3 - \frac{5}{3} x^2 + \frac{31}{6} x - 5[/tex]
Marshall retires from the partnership of? Marshall, Mark, and Dennis. Marshall had a capital balance of? $25,000. If Marshall received? $25,000 as final? settlement, how will this transaction affect the balance sheet? items?
Answers
Marshall retires from the partnership of? Marshall, Mark, and Dennis. Marshall had a capital balance of? $25,000. If Marshall received? $25,000 as final? settlement, how will this transaction affect the balance sheet? The answer is equities will decrease.
Adding mixed numbers. Could someone explain this to me please?
find the sum or difference
5/6 + 4/9
a. 1 1/2
b. 1 5/18
c. 9/18
d. 1/2
Answers
Statement Justification
∠1 + ∠2 = 180 Definition of Supplementary Angles
∠1 + ∠4 = 180° Definition of Supplementary Angles
∠1 + ∠2 = ∠1 + ∠4 Transitive Property of Equality
is this wrong? please explain
Answers
Technically you should use "substitution" in place of "transitive property of equality", though they are very closely related ideas. If I were your teacher, then I would accept that answer as valid nonetheless.
-------------------
Substitution says that if a = b and c = b, then a = c. We replace the 'b' in a = b with 'c'. Think of your substitute teacher who replaces your current teacher for a temporary basis. This is how to remember the term "substitution.
On the other hand, the transitive property of equality says that if a = b and b = c, then a = c. The equations chain together and can simplify into one single equation.
A 39 inch piece of steel cut into 3 pieces so that the second piece is twice as long as the first piece and the third piece is three inches more than six times the first one. What are the lengths of the three pieces
Answers
The length of the first piece is 4 the second piece is 8 and the third piece is 27. Your Welcome
The problem can be solved by setting up an equation where x represents the length of the first piece. Solving for x, we find that the lengths of the three pieces are 4 inches, 8 inches, and 27 inches.
Explanation:To solve this question, you can define the length of the first piece as 'x'. According to the problem, the second piece is twice as long as the first one, so it can be represented as '2x'. And the third piece is three inches more than six times the first one, which can be represented as '6x+3'.
Because the total length of the steel is 39 inches, you can setup an equation to solve for 'x':
x + 2x + 6x + 3 = 39
This simplifies to:
9x + 3 = 39
Subtracting 3 from both sides:
9x = 36
Finally, divide each side by 9:
x = 4
Therefore, the lengths of the three pieces of steel are:
First piece: 4 inches Second piece: 2 * 4 = 8 inches Third piece: 6 * 4 + 3 = 27 inchesLearn more about Solving Word Problem here:
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Please Help!! I have a 99 in this class. If I get a 45 on a project that’s worth 50% of my grade, what would my grade be?
Answers
So I always go to this site for grade calculations
https:// rogerhub. com /final-grade-calculator/
So go down to "I already took my final" or something like that
So with you having a 99, then got a 45% on a project that's worth 50% of your grade, your grade unfortunately drops 72%.
Find the distance between -3 and 4. A) -12 eliminate b) -7 c) -1 d) 7
Answers
The formula of a distance between A and B = |B - A|.
We have -3 and 4. Substitute:
|4 - (-3)| = |4 + 3| = |7| = 7
Answer: d) 7Alexa has finished her culinary training program and is now working full-time as a chef in a hotel resort restaurant. She has tripled her salary from when she was working part-time to pay her expenses through school. How should this increased income affect her budget? Make comparisons with her previous budget and her current budget.
$800$2400Expenses
Rent
Utilities
Groceries
Savings
Bus Pass$300$60$200$100$30$300$60$250$150$30
Answers
Answer:
c.
Alexa is earning quite a bit more money than she was previously. This would be a good time for her to re-evaluate her budget. Part of the extra money she is making could be put in her savings account.
Step-by-step explanation:
Alexa's increased income has allowed her to increase her expenses in various categories, while still maintaining a balanced budget.
Explanation:Alexa's increased income will have an impact on her budget. Let's compare her previous budget and her current budget:
Previous Budget:Rent: $300Utilities: $60Groceries: $200Savings: $100Bus Pass: $30Current Budget:Rent: $800Utilities: $240Groceries: $250Savings: $150Bus Pass: $30As we can see, her expenses have increased in line with her increased income. Rent, utilities, groceries, and savings have all increased, while the cost of the bus pass remains the same.
Simplify the expression.
(–1 + 6i) + (–4 + 2i)
5 – 8i
–3 + 8i
–5 + 8i
3 + 8i
Answers
Answer: C
Step-by-step explanation:
Add like terms
-1 + 6i
+ -4 + 2i
-5 + 8i
Let f(x)= 3x+5 and g(x)=3x^2-x-10. Find (f/g)(x) and state its domain.
A. 2x-3; domain is the set of all real numbers
B. 1/x-2; domain is the set of all real numbers except 2
C. 3x+5; domain is the set of all real numbers
D. 2x+3/x-1; domain is the set of all real numbers except 1
Answers
Answer:
Option B
Step-by-step explanation:
Given that f(x) = 3x+5 and g(x) = 3x^2-x-10
Hence the function f/g = (3x+5)/(3x^2-x-10)
Since denominator cannot be 0 we have
3x^2-x-10 cannot be 0
i.e. x should not take values where 3x^2-x-10 =0
Solving (3x+5)(x-2) =0
x cannot take value as 2 or -5/3
So we can cancel 3x+5 and write
f/g =1/ x-2
Hence x cannot take values as 2
Option B
Option: B is the correct answer.
The function is: [tex](\dfrac{f}{g})(x)=\dfrac{1}{x-2}[/tex]
and the domain is: The set of all real numbers except 2
Step-by-step explanation:We are given a function f(x) and g(x) in terms of variable x by:
[tex]f(x)=3x+5[/tex]
and
[tex]g(x)=3x^2-x-10[/tex]
Now, the function
[tex](\dfrac{f}{g})(x)[/tex] is given by:
[tex](\dfrac{f}{g})(x)=\dfrac{f(x)}{g(x)}[/tex]
i.e.
[tex](\dfrac{f}{g})(x)=\dfrac{3x+5}{3x^2-x-10}[/tex]
[tex]3x^2-x-10=3x^2-6x+5x-10\\\\i.e.\\\\3x^2-x-10=3x(x-2)+5(x-2)\\\\i.e.\\\\3x^2-x-10=(3x+5)(x-2)[/tex]
i.e.
[tex](\dfrac{f}{g})(x)=\dfrac{3x+5}{(3x+5)(x-2)}\\\\i.e.\\\\(\dfrac{f}{g})(x)=\dfrac{1}{x-2}[/tex]
Also, the domain of the function is the set of all the real values except where the denominator is equal to zero.
The denominator is equal to zero when x=2.
Hence, the domain is the set of all the real values except 2.
solve
(b-2ya^2)(3b-3ya^2)
Answers
Here we are given the expression:
[tex](b-2ya^{2})(3b-3ya^{2})[/tex]
We will use foil method to solve this expression.
The word FOIL is an acronym for the four terms of the product:
First ("first" terms of each binomial are multiplied together)
Outer ("outside" terms are multiplied—that is, the first term of the first binomial and the second term of the second)
Inner ("inside" terms are multiplied—second term of the first binomial and first term of the second)
Last ("last" terms of each binomial are multiplied)
Using this method let us simplify our expression.
[tex](b-2ya^{2})(3b-3ya^{2})[/tex]
=[tex]3b^{2}-3bya^{2}-6bya^{2}+6y^{2}a^{4}[/tex]
Now combining like terms we have:
=[tex]3b^{2}-9bya^{2}+6y^{2}a^{4}[/tex]
Answer: [tex](b-2ya^{2})(3b-3ya^{2})[/tex] simplifies to [tex]3b^{2}-9bya^{2}+6y^{2}a^{4}[/tex]
Answer:
The answer is 3b² - 9bya² - 6y²a².
Explanation:
(b - 2ya²)(3b-3ya²)
3b² - 3bya²-6bya²-6ya²
3b² - 9bya² - 6y²a².
Answer would be 3b² - 9bya² - 6y²a².
(1) What is the value of the expression below?
(2.5 x 10^36)(5 x 10^-15)
_____________________
2 x 10^3
Answers
[tex] \frac{12.5 \times {10}^{21} }{2 \times {10}^{3} } [/tex]
[tex]12.5 \times {10}^{18} \times {2}^{ - 1} [/tex]
2^-1 = 1/2
[tex] \frac{12.5 \times {10}^{18} }{2} [/tex]
[tex]6.25 \times {10}^{18} [/tex]
Simplify the algebraic expression 3(2x+3y)-(4x+2y
Answers
First you simplify the brackets
3(2x+3y)-4x-2y
Expand
6x+9y-4x-2y
Collect like terms
(6x-4x)+(9y-2y)
Simplify
2x+7y
Hope it helps!
Which of the following polynomials is the correct simplified form of -21x2+22x2-13x2-10x+5x-102?
A.-12x2-5x-102
B.-12x2+5x-102
C.12x2+5x-102
D.12x2-5x-102
Answers
Answer:
A.-12x^2-5x-102
Step-by-step explanation:
We are given a polynomial of degree 2 where terms are not grouped and simplified.
We have
-21x^2+22x^2-13x^2-10x+5x-102
To get this in proper form we have to group the like terms first
x^2 term = -21x^2+22x^2-13x^2 = x^2 (-21+22-13)
= x^2(-34+22) = -12x^2
x terms are -10x+5x = x(-10+5) = -5x
Constant term is only one = -102
Hence the polynomial in simplified form is
-12x^2-5x-102
Antoni has read 147 pageof book.He completed 70% of book.How many more pages does he need to read to finish the book
Answers
What’s the sum of the numbers 1 to 100
Answers
Remark
You can use a formula to get the right answer. Otherwise you will use a lot of paper adding 100 numbers together.
Givens
A = 1
L = 100
n = 100 numbers to be added together. There are 100 numbers between 1 and 100 numbers inclusive.
Formula
Sum = (A + L)*n/2
Solution
Sum = (1 + 100)*100/2 Substitute in the givens. Add what is inside the brackets
Sum = (101) * 100 / 2 Divide by 2
Sum = 101* 50 Multiply
Sum = 5050 Answer
The sum of the numbers from 1 to 100 is 5050
Explanation:The sum of the numbers from 1 to 100 can be calculated using the formula for the sum of an arithmetic series. An arithmetic series is a sequence of numbers where the difference between two consecutive terms is constant. In this case, the difference between successive numbers is 1.
The formula for an arithmetic series's sum (S) is S = n/2 (a + l), where n is the number of terms, a is the first term, and l is the last term.
Here, n = 100 (because we're adding the numbers from 1 to 100), a = 1 (the first number) and l = 100 (the last number). Substituting these values into the formula gives us S = 100/2 * (1 + 100) = 50 * 101 = 5050.
So the sum of the numbers from 1 to 100 is 5050.
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