Answers
To write an equation for the lines of the graph, we have to find the slope and the y-intercept of each line.
The y-intercept can be find as the value of y when the line intersects the y-axis.
For company L, that intersects at (0,10), the y-intersect is y(0)=10.
For company K, that intersects at (0,5). the y-intersect is y(0)=5.
The slope can be find using two points of the line.
For Company L we will use points (0,10) and (20,15). Then, we calculate the slope as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{15-10}{20-0}=\frac{5}{20}=0.25[/tex]For Company K, the points will be (0,5) and (20,15), and the slope will be calculated as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{15-5}{20-0}=\frac{10}{20}=0.5[/tex]With the slope and y-intercept we can write the equation of each line in slope-intercept form.
For Company L, with slope m=0.25 and y-intercept b=10 we will have:
[tex]\begin{gathered} y=mx+b \\ y=0.25x+10 \end{gathered}[/tex]For Company K, with slope m=0.5 and y-intercept b=5, we will have:
[tex]y=0.5x+5[/tex]Answer:
The system of equations will be:
Company L: y=0.25x+10
Company K: y=0.5x+5
Related Questions
What is 3/8 of 4/5??
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{3}{8}\ of\ \dfrac{4}{5}}[/tex]
[tex]\mathsf{= \dfrac{3}{8}\times \dfrac{4}{5}}[/tex]
[tex]\mathsf{= \dfrac{3\times4}{8\times5}}[/tex]
[tex]\mathsf{= \dfrac{12}{40}}[/tex]
[tex]\mathsf{= \dfrac{12\div4}{40\div4}}[/tex]
[tex]\mathsf{= \dfrac{3}{10}}[/tex]
[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{\dfrac{3}{10}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
Let y² = x² + sin(xy). Find using implicit differentiation.
Answers
By using implicit differentiation, we get dy/dx=(2x+cos(xy)y)/(-xcos(xy)+2y)
What is implicit differentiation?
Implicit differentiation is the process to finding the derivative of the implicit function.
We have given,
y^2=x^2+sin(xy)
Differentiate with respect to x, and using product rule
2y dy/dx=d/dx(x^2+sin(xy))
2y dy/dx=(dx^2)/dx+(dsin(xy))/dx
2y dy/dx=2x+cos(xy)(d(xy))/dx
2y dy/dx=2x+cos(xy)[y+x dy/dx]
2y dy/dx=2x+ycos(xy)+xcos(xy)dy/dx
2y dy/dx-xcos(xy) dy/dx=2x+ycos(xy)
On simplification, we get
dy/dx=(2x+xcos(xy))/(-xcos(xy)+2y)
To know more about implicit differentiation, visit:
https://brainly.com/question/20319481
#SPJ9
some people advise that in every cold weather, you should keep the gas tank in your car more than half full. Lou's car had 5.7 gallons in the 14 gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.60 per gallon. How much did Lou spend on gas?
Answers
The amount that Lou spent in gas is $20.52.
What is the cost?Lou's car had 5.7 gallons in the 14 gallon tank on the coldest day of the year and he filled the tank with gas that cost $3.60 per gallon.
The cost for the amount spent in gas will be:
= Gallons filled × Cost per gallon
= 5.7 × $3.60
= $20.52
The amount is $20.52.
Learn more about gallons on:
brainly.com/question/1106482
#SPJ1
A rental car company charges $29 per day to rent a car and $0.05 for every mile driven. Santiago wants to rent a car, knowing that: He plans to drive 400 miles. He has at most $100 to spend. What is the maximum number of days that Santiago can rent the car while staying within his budget?
Answers
Answer: He can only go 2 days
Step-by-step explanation:
Two friends are both pregnant, and find out they are each expecting twins!
Let A be the event that one friend is pregnant with identical twins, and note that P(A)=0.0045.
Let B be the event that the other friend is pregnant with fraternal twins, and note that P(B)=0.01.
A and B are independent events. What is the probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins?
Give your answer as a percent, rounded to four decimal places if necessary.
Answers
The probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins is 0.000045.
What is the probability?From the information illustrated,
Let A = event that one friend is pregnant with identical twins, and note that P(A)=0.0045.
Let B = event that the other friend is pregnant with fraternal twins, and note that P(B)=0.01.
Therefore, the probability will be gotten by using the multiplication for two independent events. This will be:
= P(A) × P(B)
= 0.0045 × 0.01
= 0.000045
Learn more about probability on:
brainly.com/question/25870256
#SPJ1
The city is issuing bonds to raise money for a building project. You obtain a $6700 bond that pays 6% interest annually that matures in 8 years. How much interest will you earn?
Answers
The interest will earn is 3216
Interest Earned = Amount * Rate of Interest * Time
Interest Earned = 6700*6%*8 = [tex]6700*\frac{6}{100}*8[/tex]
Interest Earned = 3216
Interest Calculator
The term "interest" refers to the additional revenue received by the investor over and above the investment or the additional debt owed by the borrower over and above the amount borrowed. Simple interest and compound interest are the two different kinds of interest. The sorts of interests are covered in further detail in the interest formula. Let's explore the interest formula in further detail and go through several cases.
Interest Formula: What is it?
Simple interest and compound interest are both included in the interest formula. Interest is the cost a borrower pays a lender for a loan. This additional sum, or the interest, must be paid in addition to the loan itself. The Simple Interest Formula and the Compound Interest Formula are both discussed in the interest formula Compound Interest Formula. The interest formula for both is
Simple Interest = P × R × T
Compound Interest = [tex]P(1 + r/n)^{nt}- P[/tex]
Learn more about the Interest formula https://brainly.com/question/23941790
#SPJ1
HELP ME WITH THESE THREE QUESTIONS PLEASE (GIVING BRAINLIEST TO THE BEST ANSWER.) 90 points
The perimeter of the figure is 18 units. Complete the statements to find the side lengths.
1. Find the distance from A to B. Explain how you found this distance.
2. Add the distances of the vertical and horizontal segments. These are the distances from A to B, B to C, and C to D. Show how you found the total.
3. Use the perimeter to find the length of segment AD. This is the distance from A to D. Explain how you found your answer.
Answers
From the given image, we have that:
1. The distance from A to B is of 6 units.
2. The lengths are given as follows:
Vertical semgents: AB = 6, CD = 3.Horizontal segment: BC = 4.3. The length of segment AD is of 5 units.
What are the side lengths?When two points have one equal coordinate, as is the case in this problem for AB, CD and BC, the distance is given by the subtraction of the different coordinate.
Hence, considering the coordinates of the vertices on the given image, the distances are given as follows:
AB = 2 - (-4) = 2 + 4 = 6 (vertical segment as the y-coordinate is different).CD = 2 - (-1) = 2 + 1 = 3 (vertical segment as the y-coordinate is different).BC = 3 - (-1) = 3 + 1 = 4 (horizontal segment as the x-coordinate is different).The perimeter of a polygon is the sum of the lengths of all the outer sides of the polygon, hence:
P = AB + CD + BC + AD.
The perimeter in this problem is of 18 units, hence the length of AD is given as follows:
18 = 6 + 3 + 4 + AB
13 + AB = 18
AB = 5 units.
What is the missing information?The figure is missing and is given by the image at the end of the answer.
More can be learned about the perimeter of a polygon at https://brainly.com/question/14490532
#SPJ1
If students recieve a whole numberof pointson every exam item. Can the exam be worth 80 points
Answers
Each response includes a thorough explanation of how it was arrived at. The student seemed to have been unsure of which approach to utilize so they hedged their chances by trying both in the hopes that one of them would work. (I don't think it was rewriting that they forgot to cross out; the student presented their response as "it is either X or Y," then in subsequent questions supplied parallel replies depending on whether X or Y was accurate.)
How can I give this question a grade?
Full points given that they provided the correct response
partial marks for being "half-right"?
Or perhaps they didn't get any points since they didn't fully comprehend the issue?
To know more about points refer to https://brainly.com/question/17273444
#SPJ1
please help. what are the x and y values here
Answers
Answer:
(6,0)
(-2,0)
2,-3
-3,-2
7,7
Step-by-step explanation:
A store and a bank would both charge fees for
Answers
Answer:A returned check
Step-by-step explanation:
Answer: D. bouncing a check
Bouncing a check
When a check is deposited in a bank, or when it is written out to a store teller to ultimately deposit in the store bank, the funds are tracing back from an origin bank account. When the check bounces a fee is then charges by both the bank out of which the check is written (for non-sufficient funds) and by the payee. If the payee is a store they will often charge fees that are charged back to them by their bank of deposit."
use the graph to determine which the ordered pair is a solution of the equation y equals negative X over 3 - 1
Answers
(3, - 2)
1) As the rule of the function has been given to us. Let's find out which point fits in the Solution for:
y=-x/3 -1
As we can see, the y-intercept is b=-1
3) So, (3, - 2) is the solution. Since (3, -2) belongs to the blue line
Checking algebraically
y=-x/3 -1
-2= -3/3 -1
-2 = -2 TRUE!
-
=
True or false?
Barriers that keep a business from entering a market can lead to perfect competition.
Answers
Answer: true
Step-by-step explanation:
leads to a monopoly
help meeeeeeeeeeeeeee
Answers
Answer:
Rose.
Step-by-step explanation:
Because the number is positive, it does not symbolize a withdrawal, it shows. deposit.
I hope this helps!
P.S, Brainliest if correct, thanks!
Graph the function. Then state the domain and range. f(x) = 1/4x-2
Answers
The domain and the range of the function f(x) = 1/4x - 2 is the all set of real values
What is the domain of a function?The domain of the function is the set of input values of the graph
What is the range of a function?The range of a function is the set of output values of the graph.
This in other words mean the range of a function is the set of y values of the graph.
How to determine the domain and the range?The function is given as
f(x) = 1/4x - 2
Next, we plot the graph of the function (see attachment)
From the graph, we can see that the graph is a linear graph
This means that the function has a domain and a range of all set of real values
Read more about domain and range at
https://brainly.com/question/2264373
#SPJ1
If Jenna saves $20 buying an item for 40 percent off the regular price, then what were the regular price and the sales price?
Answers
Solution
For this case we can create the following proportional rule:
[tex]\frac{20}{100-40}=\frac{x}{100}[/tex]For this case x = original price
Then solving for x we have:
[tex]x=100\cdot\frac{20}{60}=33.33[/tex]Then the original price is 33.33$
2 printing machines of a printing house can complete the printing work of the required number of Excel in Mathematics textbooks in 20 days. After printing the books for 8 days, if 1 more machine was added, in how many days would the remaining work be completed?
Answers
The remaining work can be completed in if 2 printing machines of a printing house can complete the printing work in 20 days, After printing the books for 8 days, if 1 more machine was added, is 8 days.
What is addition?In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.
Given:
2 printing machines of a printing house can complete the printing work in 20 days,
After printing the books for 8 days, if 1 more machine was added,
Assume the total work is x,
Calculate the amount of work done in 8 days by both machines as shown below,
The amount of work done in 8 days = x / 20 × 8
The amount of work done in 8 days = 2x / 5
Calculate the remaining work = x - 2x / 5
The remaining work = 3x / 5
Calculate the time taken to complete the remaining work,
Time = (3x / 5) / (3x / 40) = 8 days
Thus, the total time is 16 days.
To know more about addition:
https://brainly.com/question/28008319
#SPJ1
cual es mayor, -4 o -3
Answers
Answer:
-3
Step-by-step explanation:
question is asking, which is larger. -3 is larger than -4
Please help very confused
Answers
The correct explanations are;
2. Given
3. By definition of complementary angles.
5. ∠1 + ∠3 = 90°
6. By definition of complementary angles.
What are complementary angles?
Sum of two or more are angles are 90 degree then, angles are called Complementary angles.
Given that;
∠1 and ∠2 are complementary angles.
And, ∠2 ≅ ∠3
Now,
Statements Reasons
1. ∠1 is a complementary of ∠2. 1. Given
2. ∠2 ≅ ∠3 2. Given
3. m ∠1 + m ∠2 = 90° 3. By definition of
complementary angles.
4. m ∠2 = m ∠3 4. Definition of congruency.
5. m ∠1 + m ∠3 = 90° 5. Substitution property.
6. ∠1 is a complementary of ∠3. 6. By definition of
complementary angles.
Thus, The correct explanations are;
2. Given
3. By definition of complementary angles.
5. ∠1 + ∠3 = 90°
6. By definition of complementary angles.
Learn more about the complementary angle visit:
https://brainly.com/question/15168727
#SPJ1
What is the solution to the equation below? Round your answer to two
decimal places.
7x = 77
Answers
Answer:
x = 11
Step-by-step explanation:
divide both sides by 7
x = 11
Find a polynomial function of degree 5 with -2 as a zero of multiplicity 3,0 as a zero of multiplicity 1, and 2 as a zero of multiplicity 1.
Answers
The zeros and their multiplicities are:
-2 with multiplicity 3
0 with multiplicity 1
2 with multiplicity 1
The polynomial function is therefore given as:
[tex]\begin{gathered} f(x)=(x+2)^3(x-0)^1(x-2)^1 \\ f(x)=x(x-2)(x+2)^3 \\ f(x)=(x^2-2x)(x^3+6x^2+12x+8) \\ f(x)=x^5+6x^4+12x^3+8x^2-2x^4-12x^3-24x^2-16x \\ f(x)=x^5+4x^4-16x^2-16x \end{gathered}[/tex]Therefore, the polynomial function of degree 5 is:
[tex]f(x)=x^5+4x^4-16x^2-16x[/tex]
A bag has six balls labeled A, B, C, D, E, and F.
One ball will be randomly picked, and its letter will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of choosing the letter A or C.
If there is more than one element in the set, separate them with commas.
Sample space:
Event of choosing the letter A or C:
Answers
Sample space={ A,B,C,D,E,F}
Event of choosing A or C = {A,C}
What is sample space?
A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.
i.e. the sample space while flipping a coin is: {H,T}
The sample space while tossing a six-sided die is: {1,2,3,4,5,6}
Here it is given that:
A bag has six balls labeled: A,B,C,D,E,F
One ball will be randomly picked, and its letter will be recorded as the outcome.
This means that the sample space is given by:
Sample space={ A,B,C,D,E,F}
Now, when the event is choosing a letter from A or C.
Then the sample space is:
Sample space= {A,C}
To know more about sample space, visit:
https://brainly.com/question/23583836
#SPJ9
ANSWERS ASAP PLEASEEE
Answers
I hope this helps
Solve .graph the solution, state the interval notation and state the solution & set. 14x-6]
Answers
Starting with the inequality:
[tex]\lvert4x-6\rvert\le4[/tex]We have two cases:
Case 1: 4x-6≥0
Since 4x-6≥0, then |4x-6| = 4x-6. Then:
[tex]\begin{gathered} 4x-6\le4 \\ \Rightarrow4x\le10 \\ \Rightarrow x\le\frac{10}{4} \\ \therefore x\le\frac{5}{2} \end{gathered}[/tex]Case 2: 4x-6<0
Since 4x-6<0, then |4x-6| = -4x+6. Then:
[tex]\begin{gathered} -4x+6\le4 \\ \Rightarrow-4x\le-2 \\ \Rightarrow x\ge\frac{-2}{-4} \\ \Rightarrow x\ge\frac{1}{2} \end{gathered}[/tex]The solution set of the inequality is all the numbers x which are greater or equal to 1/2 AND lower or equal to 5/2:
[tex]\frac{1}{2}\le x\le\frac{5}{2}[/tex]The graph of the solution is a number line from 1/2 to 5/2 including the endpoints:
The interval notation of the solution, is:
[tex]x\in\lbrack\frac{1}{2},\frac{5}{2}\rbrack[/tex]The solution set S is:
[tex]S=\lbrace x\in\R|\frac{1}{2}\le x\le\frac{5}{2}\rbrace[/tex]what is the discriminant of the equation-x^2-9x-9=0
Answers
Given data:
The given expression is -x^2-9x-9=0.
The descriminant of the given equation is,
[tex]\begin{gathered} D=(-9)^2-4(-1)(-9) \\ =81-36 \\ =45 \end{gathered}[/tex]Thus, the descriminant of the given equation is 45.
The telephone company offers two billing plans for local calls. Plan 1 charges $30 per month for unlimited calls and Plan 2 charges $15 per month plus $0.03 per call.
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2 .
b. Explain the meaning of the answer to part a.
Answers
The fixed $30 unlimited calls charge for Plan 1 and the initial charge as well as a charge per call of $0.03 calls in Plan 2 gives;
a. The inequality that indicates the number of calls for which Plan 1 is more economical than Plan 2 is presented as follows;
30 > 15 + 0.03•x
Which gives;
x > 500
b. The meaning of the inequality, in part a. is that Plan 1 is more economical than Plan 2 when more than 500 calls are made
What is an inequality?An inequality makes a comparison between two values that are not equal.
The given parameters are;
The billing plan for Plan 1 is presented as follows;
Charges, C = $30
The charges of the billing plan for Plan 2 is presented as follows;
C = $15 + $0.03×xWhere;
x = The number of calls made per month
a. The inequality that can be used to find the number of monthly calls for which Plan 1 is more economical than Plan 2 is found as follows;
At the start of registration for each plan, we have;
Cost of Plan 1 = $30
Cost of Plan 2 = $15 + $0.03 × 0 = $15
Therefore, Plan 2 is initially more economical than Plan 1
At the point (or number of calls) at which the expenses for both plans are the same, we have;
30 = 15 + 0.03 × x
Which gives;
x = (30 - 15)/0.03 = 500From the above equation, we have that after 500 calls, the expenses of both plans will be the same
The inequality that gives the number of calls for which Plan 1 is more economical than Plan 2 is therefore;
30 > 15 + 0.03•x
Which gives;
x > 500b. The meaning of the inequality, x > 500 is that Plan 1 is becomes more economical than Plan 2 when a person makes more than 500 calls in a month
Learn more about inequalities here:
https://brainly.com/question/17136458
#SPJ1
In a box there a total of four prizes: Two of them are worth $3, a single prize worth $23, and a single prize worth $190. A player will reach into the box and draw one of the prizes at random. What is the fair price for this game?
Answers
Answer:
The fair price of the game is $54.75
The player is expected to win $54.75
Explanation:
Here, we want to get the fair prize of the game
From the question, there are 4 prizes
When reaching into the box, we can only pick 1
Assuming that each of the prizes have the same probability oof being picked, the probability of picking any of the prize is 1/4
Now, to get the fair price of the game (it is obviously positive as we do not know if the player has anything to lose)
We have to multiply the probability by each of the price tag, then sum
Mathematically,we have this as:
[tex]\begin{gathered} (2\times\frac{1}{4}\times\text{ \$3) + (}\frac{1}{4}\times\text{ \$23) + (}\frac{1}{4}\times\text{ \$190)} \\ \\ =\text{ \$1.5 + \$5.75 + \$47. 5 = \$54.75} \end{gathered}[/tex]Can anyone help me with this?
Answers
State the adjacent side for the angle marked as x in the picture.
Answers
Answer:
Explanation:
In
What’s the correct answer answer asap for brainlist
Answers
Answer:
B
Step-by-step explanation:
Musicologists generally define the Classical period of music as ranging from 1730 to 1820. Classical era music followed the late Baroque period of music.
John Baxley borrowed $25,000 for one year. He borrowed some at 13% interest and the rest at 50% interest. At the end of the year, he owed $36,000 in interest how much did he borrow at each rate?
Answers
The amount borrowed at 13% interest is $20,945.95.
The amount borrowed at 50% interest is $4,054.05.
How much is borrowed at each rate?The first step is to formulate a system of equations:
a + b = $25,000 equation 1
0.13a + 0.5b = (36,000 - 25,000
0.13a + 0.5b =11,000 equation 2
Where:
a = amount borrowed at 13% interest
b = amount borrowed at 50% interest
Take the following steps to determine the value of b:
Multiply equation 1 by 0.13
0.13a + 0.13b = 3,250 equation 3
Subtract equation 3 from equation 2
7,750 = 0.37b
b = $20,945.95
a = $25,000 - $20,945.95 = $4,054.05
To learn more about interest, please check: https://brainly.com/question/26164549
#SPJ1