Answers
Answer: This is a function
There are no repeated x values. Each x value is paired with exactly one y value. If you had an input of something like x = 3 lead to y = 5 and y = 8 at the same time, then it wouldn't be a function.
If you want, you can graph all five of these points, as is shown in the attached image below. You'll notice that it is impossible to draw a vertical line through more than one of these five points. The graph therefore passes the vertical line test to visually confirm we have a function.
Related Questions
Find the slope of the line represented by the table of values. A.1/2 B.1 C.2 D.4
X Y
-1 1
1 2
3 3
5 4
7 5
Answers
Answer:
The correct option is A.
Step-by-step explanation:
From the given table it is noticed that the line is passing through the points (-1,1), (1,2), (3,3), (5,4) and (7,5).
Slope of a line is calculated as
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Choose any two pair of coordinates from the given points.
Let the line is passing through (5,4) and (7,5).
[tex]m=\frac{5-4}{7-5}[/tex]
[tex]m=\frac{1}{2}[/tex]
Therefore the slope of line is [tex]\frac{1}{2}[/tex] and option A is correct.
Answer:
The actual answer is C
Step-by-step explanation:
Barrett is comparing the membership fees for two museums. The art museum charges a one-time fee of $8.25 plus $2.25 per month. The science museum charges a one-time fee of $10.75 plus $3.50 per month. How much does Barrett save by joining the art museum instead of the science museum? Enter your answers in the boxes.
Answers
The savings that Barret makes by joining the art museum instead of the science museum is $2.50 + $1.25m.
The one time fee charged by the art museum is $8.25 and the one charged by the science museum is $3.50. The saving here is:
= 10.75 - 8.25
= $2.50
The savings made per month is:
= Amount charged per month by science - Amount charged per month by art
= 3.50 - 2.25
= $1.25
In conclusion, the savings per month is $2.50 + $1.25 per month.
Find out more about such savings at https://brainly.com/question/11549465.
The data in the table represents a company's profit based on the number of items produced.
Which equation best represents the data?
A) y= -1.026x^2 + 1016.402x - 162075
B) y= -1.036x^2 + 1024.771x - 163710
C) y= 298.214x - 66317.667
D) y= 196.2x - 18710
Answers
Answer:
(A) y= -1.026x^2 + 1016.402x - 162075
Step-by-step explanation:
Given is the data 'x' -Items produced. The equation that satisfies the given data can be found by simply substituting the values of x in the given equations. For example:
Substituting the value of x= 100 in the given equations,
A) y= -1.026(100)^2 + 1016.402(100)-162075= -70,500
Similarly you can check the values on the rest of the equations and if they satisfy the equation, then the given is the required equation.
Answer:
(A)
Step-by-step explanation:
WE are given the data which represents the company's profit based on number of items produced.
The equation which best represents the data can be found out by substituting the values of x in the given equations.
So,substituting x=100 in first equation, we have:
[tex]y=-1.026x^{2} +1016.402x-162075[/tex]
[tex]y=-1.026(100^{2})+1016.402(100)-162075[/tex]
[tex]y=-10260+101640.2-162075[/tex]
[tex]y=-70500[/tex]
which satisfies the equation. Hence, option A satisfies.
We can also substitute the different values of x in the equations to check whether it satisfies or not.
jada has 12 library books checked out and han has
[tex] \frac{1}{3} [/tex]
less than that .how many books does han have checked out
Answers
Answer: Hello there!
We know that Jada has 12 books checked out, and Han has one third less than that.
one-third of a number is equal to the number divided by 3, in this case, we have the number 12, so a third of 12 is: 12/3 = 4
then if Han has a third less than 12, Han has 12 - 4 = 8 books checked out.
QUESTION!!!! WHEN TRYING TO PROVE SIMILER TRIANGLES, IF YOUR USINF THE ANGLE ANGLE SIMILARITY POSTUALET HOW MANY ANGLES DO YOU NEED TO PROVE IN YOUR STATEMENTS? AND IS THERE A WAY TO MAKE SURE THAT THE WAY YOU PROVED YOUR TRIANGLES SIMILAR IS RIGHT?
Answers
Answer: 2 pairs of angles
As the name "angle angle" suggests, we need 2 pairs of angles proven congruent in order to prove that two triangles are similar. Each "angle" refers to a pair of angles between the two triangles, which are corresponding angles. We could use the third pair, but it's extra unnecessary work. This theorem is often written as "AA similarity" or something along those lines.
One way to check for similar triangles is to compare the ratios of the sides. If the corresponding sides divide to the same value, then you have similar triangles. This method only works of course if you know the side lengths.
Solve the equation for y
Answers
Answer: y=1/7am -1/7
Step-by-step explanation:
First: 3y+4y+z =am - z
Second: 7y=am - z
Third: y=1/7am -1/7z
Finally: y=1/7am -1/7
Shawn has a budget of $50 per month to spend on bus fare. He made a table showing the total amount of bus money he will have left after the given number of rides.
Number of rides 0 9 18 27
Total amount of bus money left ($) 50 41 32 23
Which equation, in standard form, represents the relationship between the number of bus rides, x, and the amount of bus money Shawn will have left, y?
50x = y
x + y = 50
50y = x
Answers
Answer:
x+y = 50
Step-by-step explanation:
We can find the slope of the line
m = (y2-y1)/(x2-x1)
= (50-41)/(0-9)
= 9/-9
=-1
We can use the point slope form of the equation to make an equation for a line
y-y1 = m(x-x1)
y-50 = -1(x-0)
y-50 = -x
To get it in standard from, subtract y from each side
y-y-50 = -x-y
-50 = -x-y
Multiply each side by -1
50 = x+y
x+y = 50
The equation representing the relationship between the number of bus rides and the amount of bus money is [tex]\( x + y = 50 \)[/tex]. The option (a) is correct.
The amount of bus money Shawn will have left is [tex]y[/tex].
Representing the relationship between the number of bus rides [tex]\( x \)[/tex] .
We can see that for every 9 rides, Shawn's remaining bus money decreases by $9.
This suggests that the cost of each ride is $1 (since $9 divided by 9 rides equals $1 per ride).
We know that Shawn starts with $50 and each ride costs $1.
So, after [tex]\( x \)[/tex] rides, Shawn will have spent [tex]\( x \)[/tex] dollars.
So, the equation is :
[tex]\[ y = \text{Initial amount} - \text{Cost per ride} \times \text{Number of rides} \][/tex]
[tex]\[ y = 50 - 1 \times x \][/tex]
[tex]\[ y = 50 - x \][/tex]
This equation can be rearranged to standard form, which is [tex]\( Ax + By = C \)[/tex] , where [tex]\( A \), \( B \), and \( C[/tex] are constants.
For our equation,[tex]\( A = -1 \), \( B = 1 \) , and \( C = 50 \)[/tex] , so in standard form, it is :[tex]\[ -x + y = 50 \][/tex] .
We can multiply the entire equation by -1 to get :
[tex]\[ x - y = -50 \][/tex]
[tex]\[ x + y = 50 \][/tex]
This is the equation in standard form that represents the relationship between the number of bus rides, [tex]\( x \)[/tex], and the amount of bus money Shawn will have left, [tex]\( y \)[/tex].
Therefore, the correct answer is [tex]\( x + y = 50 \)[/tex] .
The complete question is:
Shawn has a budget of $50 per month to spend on bus fare. He made a table showing the total amount of bus money he will have left after the given number of rides.
Which equation, in standard form, represents the relationship between the number of bus rides, x, and the amount of bus money Shawn will have left, y?
a) x+y = 50
b) 50x + 50y = 1
c) 50y = x
d) 50x = y
What is total cost of three pairs of socks priced at 1.29 a pair, with a 6% sales tax?
Answers
Answer:
$4.10
Step-by-step explanation:
Subtotal = (3 pairs of socks) x (price of socks):
Subtotal = (3 x $1.29) = $3.87
To get the overall total, you add tax, which is 6% of the subtotal:
6% of the subtotal = 0.06 x subtotal = 0.06 x $3.87 = $0.23
Subtotal + tax = $3.87 + $0.23 = $4.10
if a particle moves along a straight line according to s(t)= t^4 -4t^3 +6t^2 -20, find the maximum and minimum acceleration on 0 less or equal to t less or equal to 3
Answers
so we have s(t), namely the positional equation for the particle.
now, let's recall that the derivative of s(t) will be v(t), namely the derivative of the positional equation will be the velocity, and the derivative of the velocity will be the acceleration.
s'(t) = v(t) and s''(t) = a'(t) <--- acceleration
so we need the 2nd derivative of s(t) firstly, and then we can check for any critical values and find its extrema.
[tex]\bf s(t)=t^4-rt^3+6t^2-20\implies \stackrel{\textit{velocity}}{s'(t)=4t^3-12t^2+12t} \\\\\\ \stackrel{\textit{acceleration}}{s''(t)=12t^2-24t+12}\implies \stackrel{\textit{derivative of acceleration}}{s'''(t)=24t-24} \\\\[-0.35em] ~\dotfill\\\\ 0=24t-24\implies 24=24t\implies \cfrac{24}{24}=t\implies 1=t[/tex]
now, if we run a first-derivative test on that acceleration derivative, namely s'''(t), let's say we test s'''(0) and that gives us a negative value, and then test s'''(2) and that gives us a positive value, so the test goes like in the picture below, clearly, 1 = t is a minumum, and is between [0, 3].
s'''(0) = -24
s'''(3) = 48
so clearly the maximum happens at the s'''(3) endpoint, when t = 3.
PLEASE HELP! I know it’s an easy question, but I don’t remember how to do this. Help
Answers
Answer:
Your range is (1,2,4,8)
A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount of the bill?
Answers
Answer:
$156.35
Step-by-step explanation:
we know that
A group of friends went to lunch, and their bill was $132.50
In this problem
$132.50 represent the 100%
100%+18%=118%
so
using proportion
Find out the total amount that represent 118%
Let
x ----> the total amount of the bill
[tex]\frac{\$132.50}{100\%}=\frac{x}{118\%}\\\\x=132.50(118)/100\\\\x=\$156.35[/tex]
Answer:
Step-by-step explanation:
The answer is $156.35
Sierra left $4.50 as a tip for a waiter. This was 18% of the bill before the tip. How much was her total bill before the tip? Enter your answer in the box.
Answers
Answer: $20.5
Step-by-step explanation:
Let x denotes the amount for total bill.
We are given that , Sierra left $4.50 as a tip for a waiter.
This was 18% of the bill before the tip.
We can write 18% = 0.18. [To convert percent into decimal we divide it by 100.]
Then, the tip amount = 0.18 x Total bill
[tex]\Rightarrow\ 4.5=0.18x\\\\\Rightarrow\ x=\dfrac{4.5}{0.18}=25[/tex]
So, the total bill amount = $25
Hence, her total bill before the tip= Total bill amount - Tip amount
= $25- $4.50=$20.5
Thus ,her total bill before the tip= $20.5
To find Sierra's total bill before the tip, an equation can be created where the tip amount ($4.50) is 18% of the total bill. Solving the equation provides that Sierra's total bill before the tip was $25.
Explanation:To solve this problem, you want to figure out the original bill amount before the tip was added. We know that the tip amount, $4.50, represents 18% of the original bill. Therefore, we can set up an equation to find the total bill before the tip was included.
The equation is as follows: 0.18x = $4.50, where 'x' stands for the total bill before the tip. By dividing both sides of the equation by 0.18, we can find 'x' which represents the initial bill.
So, x = $4.50 / 0.18 and calculating this gives us x = $25. Therefore, Sierra's total bill before the tip was $25.
Learn more about Percentage calculation here:https://brainly.com/question/32197511
#SPJ3
Divide and simplify as much as possible: -20v^7 x^7 + 12v^4 x^7 / 4v^5 x^4
Answers
[tex]\dfrac{-20v^7x^7+12v^4x^7}{4v^5x^4}=\dfrac{-20v^7x^7}{4v^5x^4}+\dfrac{12v^4x^7}{4v^5x^4}=-5v^{7-5}x^{7-4}+3v^{4-5}x^{7-4}\\\\=\boxed{3v^{-1}x^3-5v^2x^3}[/tex]
Used
[tex]\dfrac{a^n}{a^m}=a^{n-m}[/tex]
Other method:
[tex]\dfrac{-20v^7x^7+12v^4x^7}{4v^5x^4}=\dfrac{4v^4x^4(-5v^3x^3+3x^3)}{4v^4x^4(v)}=\dfrac{3x^3-5v^3x^3}{v}[/tex]
what is the solution to −1/4(d+1)<2
Answers
Answer:
[tex] d > -9 [/tex]
Step-by-step explanation:
[tex] -\dfrac{1}{4}(d + 1) < 2 [/tex]
First, multiply both sides by -4. You must also change the inequality sign since you are multiplying both sides by a negative number.
[tex] -4 \times \left(-\dfrac{1}{4}\right)(d + 1) > 2 \times (-4) [/tex]
[tex] d + 1 > -8 [/tex]
Subtract 1 from both sides.
[tex] d + 1 - 1 > -8 - 1 [/tex]
[tex] d > -9 [/tex]
What is the sum of 2.5x10^4 and 3.4 x 10^4
Answers
Answer: 59,000
Step-by-step explanation:
(2.5 * 10^4) + (3.4 * 10^4)
(2.5 * 10,000) + (3.4 * 10,000)
25,000 + 34,000
59,000
10 • 10 • 10 • 10 = 10,000
(2.5 • 10,000) + (3.4 • 10,000)
25,000 34000
25,000 + 34,000 = 59,000
An electrician charges $40 to come to your house. She also charges $55 for each hour that she works.The electrician charges you a total of $190. How many hours does the electrician work at your house? Use h for the number of hours
Answers
Answer:
your answer is h=2.65 hours
what is the rule for adding and subtracting monomials
Answers
Answer:
As shown, both terms are equal to 192. To add two or more monomials that are like terms, add the coefficients; keep the variables and exponents on the variables the same. To subtract two or more monomials that are like terms, subtract the coefficients; keep the variables and exponents on the variables the same.
Step-by-step explanation:
Samantha and Kylee are bakers. If Samantha can decorate a cake in 5 hours and Kylee 8 hours to decorate a cake, how long will it take if they worked together. Explain each step in solving this equation.
Answers
Answer:
3 1/13 hours
Step-by-step explanation:
Lets create a variable:
Samantha and Kylee together (NOT the answers) = [tex]T_{SK}[/tex]
Now lets create an equation:
[tex]1/T_{SK} = 1/T_{S} +1/T_{K}[/tex]
Let's look at the time Samantha and Kylee takes to decorate the cake by themselves:
Samantha: 5 hours
Kylee: 8 hours
Let's create an equation to find the answer now:
[tex]1/T_{SK} = 1/5 + 1/8[/tex]
Note that now that's its basically algebra, change the variable to [tex]x[/tex] like this:
[tex]1/x = 1/5 +1/8[/tex]
Now let's find the LCM (Lowest Common Multiple) of 5, 8, and [tex]x[/tex] which is 40[tex]x[/tex].
[tex]40 = 8x + 5x[/tex]
[tex]40 = 13x[/tex]
[tex]13x = 40[/tex]
[tex]x = 40/13[/tex]
[tex]x[/tex] = 3 1/13 hours
Please note that the step where it swapped 13[tex]x[/tex] and 40 is only my way, it is not necessary, it's just my own comfort.
I need to know how to do slope
Answers
Answer:
slope is easy it is rise over run
Step-by-step explanation:
rise/run
rise means up
run means move sideways
Answer:
Slope = rise/run
Step-by-step explanation:
Example: (6,3) (2, 2)
Add the x's and divide by two and then add the y's and divide by two.
6 + 2 = 8
8/2 = 4
3 + 2 = 5
5/2 = 2.5
So, the slope would be 4/2.5
The diameter of a circle is 6 units. What is the radius of the circle?
Answers
6/2=3
r=3
Answer:
The radius of the circle is 3 unit.
Step-by-step explanation:
Given : The diameter of a circle is 6 units.
To find : What is the radius of the circle?
Solution :
The radius of the circle is [tex]r=\frac{d}{2}[/tex]
Where, d is the diameter d=6 units
Substitute the value,
[tex]r=\frac{6}{2}[/tex]
[tex]r=3[/tex]
Therefore, the radius of the circle is 3 unit.
Rewrite the rational exponent as a radical.
(5*3/4 power)2/3 power
Answers
[tex]Use:\\\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\(a^n)^m=a^{nm}\\\\\left(5^{\frac{3}{4}}\right)^{\frac{2}{3}}=5^{\frac{3}{4}\cdot\frac{2}{3}}=5^{\frac{1}{2}\cdot\frac{1}{1}}=5^{\frac{1}{2}}=\sqrt[2]{5}=\boxed{\sqrt5}[/tex]
5 + 2 root 3 / 7 + 4 root 3 equals to a + b root 3
Answers
[tex]5 \: + \: \frac{2 \sqrt{3} }{7} \: + \: 4 \sqrt{3} \: = \: a \: + \: b \sqrt{3} [/tex]
[tex](5) \: + \: ( \frac{30}{7} ) \sqrt{3} \: = \: a \: + \: b \sqrt{3} [/tex]
Hence, by comparing factors on both sides,
a = 5, b = 30/7.
[tex]\dfrac{5+2\sqrt3}{7+4\sqrt3}=\dfrac{5+2\sqrt3}{7+4\sqrt3}\cdot\dfrac{7-4\sqrt3}{7-4\sqrt3}\\\\\text{use}\ (a+b)(a-b)=a^2-b^2\\\\=\dfrac{(5+2\sqrt3)(7-4\sqrt3)}{7^2-(4\sqrt3)^2}\\\\\text{use distributive property}\\\\=\dfrac{(5)(7)+(5)(-4\sqrt3)+(2\sqrt3)(7)+(2\sqrt3)(-4\sqrt3)}{49-4^2(\sqrt3)^2}\\\\=\dfrac{35-20\sqrt3+14\sqrt3-8(3)}{49-16(3)}=\dfrac{35-6\sqrt3-24}{49-48}=\dfrac{11-6\sqrt3}{1}\\\\=11-6\sqrt3\\\\11-6\sqrt3=a+b\sqrt3\to\boxed{a=11\ and\ b=-6}[/tex]
Jodi is cutting out pieces of paper that measure 8 1/2ninches by 11 inches from a large sheet of paper that has a area of 1,000 square inches
Answers
Answer:
93.5 in^2
Step-by-step explanation:
we know that
Jodi is cutting out pieces of paper that measure inches by inches
The area of each piece that jodi is cutting out is equal to the area of a rectangle
Which transformation are needed to change the parent cosine function to y=3cos(10(x-pi))
Answers
Answer:
Step-by-step explanation:
First, we can transform y = cos(x) to y = 3*cos(x) by stretching the graph vertically by a factor of 3. At x = 0, the y value would now be 3 * 1 = 3 instead of 1 (the stretching would cause all new y-values to be 3 times their original values for any given x).
Now transforming y = 3*cos(x) to y = 3*cos(10*x) will stretch the graph horizontally by a factor of 10 (for any given y value, the new x value corresponding to it is 10 times the original x value).
Finally, to transform y = 3*cos(10*x) to y = 3*cos(10(x-pi)), shift the graph to the right by pi.
Answer:
It's B or C
Step-by-step explanation:
How long will it take $500 to double at a simple interest rate of 5%? Explain how you found your answer.
HELP IS GREATLY APPRECIATED!
Answers
Answer:
20 years
Step-by-step explanation:
Simple interest is only interest on the original principal amount. Every year, you earn the same interest amount.
At 5% simple interest, you earn 5% of the principal each year.
In any year, you earn
5% of $500 = 5% * 500 = 0.05 * 500 = $25
Each year, you earn $25 in interest.
How many years will it take to earn a full $500 by earning $25 per year?
$500/$25 = 20
It takes 20 years to double the $500.
What is the common ratio between successive terms in the sequence? 27, 9, 3, 1, , , , ... –3 – 3
Answers
Answer:
1/3
Step-by-step explanation:
To determine the common ration, we take the second term and divide it by the first term
9/27 = 1/3
We verify this by taking the third term and diving by the second term
3/9 = 1/3
The common ratio is 1/3
Answer:
1/3
Step-by-step explanation:
Divide a term by the previous term.
For example, divide 1 by 3 to get 1/3.
A set of rules used to determine the proper order for performing operations in an expression that involves more than one operation is a(n) ___.
proportion
order of operations
output
equation
Answers
A set of rules used to determine the proper order for performing operations in an expression that involves more than one operation is a(n) order of operations.
What is proportion?The number or amount of a group or part of something when compared to the whole is called proportion.
What is order of operations?The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression.
What is output?Something produced as a result of some input is called output.
What is an equation?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to know the what the given set of rules called?Output of operations is the set of rules used to determine the proper order for performing operations in an expression that involves more than one operation
Find out more about "order of operations" here: https://brainly.com/question/550188
#SPJ2
Solve the equation
4x−2·(3x−2)=3x
Answers
Answer: [tex]x=\frac{4}{5}[/tex]
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have the following equation given in the problem above:
[tex]4x-2(3x-2)=3x[/tex]
2. Apply the Distributive property:
[tex]4x-6x+4=3x[/tex]
4. Now, you must add like terms:
[tex]4=3x-4x+6x\\4=5x[/tex]
5. Solve for [tex]x[/tex], then the result is:
[tex]x=\frac{4}{5}[/tex]
A garden table and a bench cost $804 combined the garden table costs $46 less than the bench. What is the cost of the bench
Answers
Answer:
The cost of the bench is 425 dollars.
Step-by-step explanation:
Let x represent the garden table.
Let y represent the bench.
x + y = 804
x = y - 46
Use the substitution method.
y - 46 + y = 804
2y - 46 = 804
Add 46 to both sides.
2y = 850
Divide both sides by 2.
y = 425
Answer:
The cost of the bench is 425 dollars.
Kristin is swimming in the ocean and notices a coral reef below her. The angle of depression is 35∘ and the depth of the ocean, at that point is 250 feet. How far away is she from the reef? Round your answer to the nearest tenth of a foot if necessary.
Answers
Answer:
Distance: 435.9 ft
Step-by-step explanation:
This is a right triangle shown in the picture.
To solve for [tex]x[/tex], we can use trigonometry.
The 35° angle's opposite side is 250 ft and the hypotenuse of the triangle is [tex]x[/tex] (what we are seeking to find).
The ratio that relates opposite and hypotenuse is sine.
We know that,
[tex]sin(angle)=\frac{opposite}{hypotenuse}[/tex]
Thus we can write:
[tex]sin(35)=\frac{250}{x}[/tex]
Cross multiplying and solving for [tex]x[/tex] gives us:
[tex]sin(35)=\frac{250}{x}\\x=\frac{250}{sin(35)}\\x=435.9[/tex]
Second answer choice is right: 435.9 ft