Write the slope-intercept equation of the line that passes through the given point and is parallel to the given line.
(−3, 8), x = −3y + 9
Answers
Answer:
y= -3yx + 9x - 37
Step-by-step explanation:
Find the Equation Using Slope-Intercept Form
Answer:
y= - (1/3) x + 9
Step-by-step explanation:
y = m x +b === m is slope, b is y-intercept
Solve given equation for y to find parallel slope -- y = - (1/3) x + 3
so parallel slope is - (1/3)
substitute point & slope into equation to find b
8 = - (1/3) (3) + b
b = 9
Related Questions
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answers
A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.
How to explain the informationIn this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.
By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.
Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.
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Martha estimated there were 86 marbles in a jar for a contest. The actual number of marbles in the jar was 107. What was the
percent error of Martha's estimation?
Answers
Answer:
Roughly 20.4%
Step-by-step explanation:
Use the formula of percent of error:
| Actual number - Guess / Actual number | (100)
The actual number is 108 and the guessed number is 86:
| 108 - 86 / 108 | (100)
= | 22/108 | (100)
= | 0.2037037037 | (100)
The vertical lines indicate absolute value. This means that anything inside of it must be turned into its positive form. Since it is already positive, just take the signs away:
0.2037037037(100)
≈ 0.204(100)
= 20.4
Turn this into a percent:
20.4%
Martha's percent of error is 20.4%
Please tell me if I was right or not. I really hope this helps!
A coffee place is selling coffees for $2.50 each and cappuccinos for $3.75 each.
Today the coffee place sold a total of 70 drinks (coffees and cappuccinos) for a total of $222.50.
a) Write an equation that represents the information.
b) Solve the equation in (a) to find how many coffees and how many cappuccinos the coffee place sold today.
Answers
Answer:
Step-by-step explanation:
a) Let's denote the number of coffees sold as 'x' and the number of cappuccinos sold as 'y'.
The equation that represents the given information is:
2.50x + 3.75y = 222.50
b) To solve the equation, we need to find the values of 'x' and 'y' that satisfy the equation.
Since we have two variables and only one equation, we cannot determine the exact values of 'x' and 'y' independently. However, we can find possible combinations that satisfy the equation.
Let's proceed by assuming values for one of the variables and solving for the other. For example, let's assume 'x' is 40 (number of coffees):
2.50(40) + 3.75y = 222.50
100 + 3.75y = 222.50
3.75y = 222.50 - 100
3.75y = 122.50
y = 122.50 / 3.75
y ≈ 32.67
In this case, assuming 40 coffees were sold, we get approximately 32.67 cappuccinos.
We can also assume different values for 'x' and solve for 'y' to find other possible combinations. However, keep in mind that the number of drinks sold should be a whole number since it cannot be fractional.
Therefore, one possible combination could be around 40 coffees and 33 cappuccinos sold.
Find the value of x
Answers
Answer:
x = 20
Step-by-step explanation:
We know that the vertically opposite angles are equal.
Accordingly,
41 = 2x + 1
Subtract 1 from both sides.
41 - 1 = 2x
40 = 2x
Divide both sides by 2.
x = 20
1 1/3 x 1 x 2 1/3 HELP ME
Answers
Answer:
22/9
Step-by-step explanation:
sorry it is kinda messy in the pic but the answer is 22/9
What equation is graphed?
10
8
6
SK
-10-8-8/ 2 4 6 8 10
-8
-10
16
9
=1
=1
po
Answers
first off, let's take a peek at the picture above
hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.
now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.
\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)
one person writes 200 letters in one hour. how long does writing 200 letters take by 4 people
Answers
Select the correct answer.
Which is the minimum or maximum value of the given function?
Answers
Answer:
C
Step-by-step explanation:
Line does not go over 1 on the y-axis
S. Determine which is the best buy. Show calculations and explain your answer Ed's Bagels 4 for $.89 Best Bagels Only $1.39 for 6
Answers
Answer:
eds bageles are $.22 per bagel and best bagels are $.23 per bagel.
Step-by-step explanation:
Which has a greater value?
√8 + 3 or 8 + √3
Answers
Answer:
8 + √3 is greater.
Step-by-step explanation:
8 + √3 equals 9.73
whereas
√8 + 3 equals 5.83
7y+4=3-2y solve for y
Answers
Answer:
y = -1/9
Explanation:
Given the equation:
\(7y+4=3-2y\)First, we bring all terms containing y to the left-hand side of the equation.
\(7y+2y+4=3\)Next, subtract 4 from both sides.
\(\begin{gathered} 9y+4-4=3-4 \\ 9y=-1 \end{gathered}\)Finally, we divide both sides by 9.
\(\begin{gathered} \frac{9y}{9}=-\frac{1}{9} \\ y=-\frac{1}{9} \end{gathered}\)Lexi mailed a letter on Monday morning. The letter traveled 1/2 of a mile on Monday. It
traveled 3/4 more of a mile on Tuesday, reaching its destination on Tuesday afternoon. How
far did Lexi's letter travel in all?
Answers
Answer:
1 1/4 miles
Step-by-step explanation:
3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4
20 students each rolled dice 5 times each to measure the median. Here is the data in the picture attached. What can we infer from this graph by looking at the median data?
A. when rolling a dice multiple times, the median is less likely to fall between numbers 1 and 6.
B. it's not possible to tell the likelihood of where the median is going to be when measuring probability since rolling dice is completely randomized, etc.
C. some other response
Answers
We can deduce that option A is likely to be true based on the given graph of rolling dice median data.
What is the median?The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.
The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).
This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.
However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.
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QUESTION 13
Consider the following argument: If virtual reality video games are perfected in the 21st century, video games will become
the dominant entertainment industry. If video games become the dominant entertainment industry, Hollywood will go
bankrupt and California will lose much of its annual revenue. So, if virtual reality video games are perfected in the 21st
century, Hollywood will go bankrupt and California will lose much of its annual revenue. What is the logical form of this
argument?
O a. Disjunctive Syllogism
O b. Affirming a disjunct
O c. Affirming the consequent
O d. Denying the antecedent
O e. Hypothetical Syllogism
Answers
Disjunctive Syllogism is the logical form of the given argument. Therefore, the correct option is option A.
What is argument?An argument seems to be a statement or set of claims, known as premises, that seeks to assess the plausibility or acceptance of a conclusion. The logical, dialectical, and rhetorical perspectives are the three basic areas of study for arguments.
An argument in logic can be defined as a collection of propositions whereby a single one is tried to claim to follow the rest through deductively obtain reasonable that maintain truth from either the premises towards the conclusion. Disjunctive Syllogism is the logical form of the given argument.
Therefore, the correct option is option A.
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A
-2+
Which graph represents the
function y = tan x?
B
2T
2T
D
-2+1
21
4+
ㅠ
2T
2πT
Answers
The graph that represents the function y= tanx is Option A.
What is the description of the above function?The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.
It oscillates between positive and negative infinity, creating a wave- like pattern.
It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.
Thus, option A is the correct answer.
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Solve each system using the substitution method.
y= 2x
5x - y =9
Answers
Answer:
{y,x}={6,3}
Explanation
System of Linear Equations entered :
[1] y=2x
[2] 5x-y=9
Equations Simplified or Rearranged :
[1] y - 2x = 0
[2] -y + 5x = 9
Graphic Representation of the Equations :
-2x + y = 0 5x - y = 9
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 2x
// Plug this in for variable y in equation [2]
[2] -(2x) + 5x = 9
[2] 3x = 9
// Solve equation [2] for the variable x
[2] 3x = 9
[2] x = 3
// By now we know this much :
y = 2x
x = 3
// Use the x value to solve for y
y = 2(3) = 6
Solution :
{y,x} = {6,3}
How many solutions does the system of equations below have? y=-3/4x+1/6
Answers
The solution is the point (0, 1/6) y = 1/6
Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.
In this case, the equation is in slope-intercept form (y = mx + b),
where m represents the slope (-3/4) and b represents the y-intercept (1/6).
The slope-intercept form allows us to determine various properties of the equation.
Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.
Each pair of x and y values that satisfy the equation represents a solution.
For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:
y = (-3/4)(0) + 1/6
y = 1/6
Therefore, the solution is the point (0, 1/6).
In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.
Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.
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Given the functions =−12 (2)x+3. Select all statements that are true.
Answers
HELP WILL GIVE BRAINLIEST!
Answers
Answer:
128 boxes
Step-by-step explanation:
The dimensions of the trunk is 24 in. by 24 in by 48 in
The volume = 24(24)(48) = 27648 cu. in.
The cubed boxes each have a volume of 6(6)(6) = 216 cu. in.
27648/216 = 128 boxes
I NEED HELP NOW
Geoffrey is evaluating the expression StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction as shown below.
StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction = StartFraction (2) Superscript a Baseline Over (negative 3) Superscript b Baseline EndFraction = StartFraction c Over d EndFraction
Answers
The mathematical expression does not seem clear but I have made an attempt to make sense of what is implied.
Answer:
a = 4, b = 2, c = 16, d = 9
Solving the first part of the question by indices,
Comparing the rightmost term with the second term in the question,
a = 4, b = 2
Solving on,
Comparing with the final term in the question,
c = 16 and d = 9
Therefore,
a = 4, b = 2, c = 16, d = 9
pls give brainest
Answer:
A - 4
B - 2
C - 16
D - 9
Step-by-step explanation:
Just took the test on edg 2020
Colin’s piano lesson is 45 minutes, or 3/4 of an hour, long. If he practices 6 different songs and spends an equal amount of time on each song, what fraction of an hour does he spend practicing each song?
Answers
Answer:
15/2 minutes
Step-by-step explanation:
Class duration= 45 minutes
For 6 songs = 45 minutes
For 1 song = 45/6 = 15/2 minutes
Given:
Colin’s piano lesson is 45 minutes, or Three-fourths of an hour, long. If he practices 6 different songs and spends an equal amount of time on each song, what fraction of an hour does he spend practicing each song ?
Solution:
we have,
→ Colin’s piano lesson is = 45 minutes .
and,
→ he practices total different songs = 6
also, given that, he spends an equal amount of time on each song .
So,
→ Time he spend on each song = Total time of lesson / Total number of songs he practice = 45/6 = (15/2) Minutes.
now, we know that,
→ 60 minutes = 1 hour .
→ 1 minute = (1/60) hour .
then,
→ (15/2) minutes = (1/60) * (15/2) = (1/8) hours.
hope this helps......
Miya and her family are on vacation. During the drive from the airport to Bryce National Park, she saw 42 trucks and 23 blue cars. Write the ratio of blue cars to trucks three different ways.
Answers
Answer:
23 to 42
23:42
\(\frac{23}{42}\)
-1.3125 as a fraction in simplest form
Answers
Answer: - 21/16 = 15/16 (simplified)
= - 1.3125 convert decimal to fraction
= - 13125/10000
= - 21/16 = 15/16 (simplified)
Given thatx-3+ y and that -2y+3<-1, provide
reasons for each step in the following solution for x.
STATEMENTS
15. x-3+yand -2y+3<-1
16. x>y
17.-24-4
18. y > 2
19. x > 2
15.
16.
17.
18.
19.
Please help
Answers
Answer:
h Tu to be a great day of school and
Step-by-step explanation:
great day of school and I have a great day of school and I have a great day of➡ school and I I have a great day of school and I have a great day of school and I have a great yy
The area of a rectangular rug is 14 1/12 square yards. The length of the rug is 4 1⁄3 yards. What is the width?
Answers
Answer:
w=3 1\4
Step-by-step explanation:
A=LxW
a=14 1\12
l=4 1\3
w=?
14 1\12=4 1\3 x w
14 1\12 divided by 4 1\3=13\4=3 1\4
w=3 1\4
i need help with this question but i dont know how to do it please someone help me with this.
Answers
Answer:
9^2 + 12^2 = c^2
81 + 144 = c^2
√15 = √c^2
c = 15
Step-by-step explanation:
How many 50ml can be filled from 5L
Answers
5 times the sum of x and 3
Answers
Which expression is equivalent to 3_3/7
24 divided by 7
13 divided by 7
30 divided by 7
Answers
The mixed fraction shown by 3 3/7 is Equivalent to the fraction 24 divided by 7 or 24/7.
What is Mixed Fraction?A mixed fraction is one that is represented by both its quotient and remainder.
An combination of a whole number and a legal fraction is a mixed fraction.
For example, 2 1/3 is a mixed fraction, where 2 is the quotient, 1 is the remainder.
Given:
We have the Fraction 3 3/7 which can be written as
= (7 x 3 + 3)/ 7
= (21 +3 )/ 7
= 24/7
Also, 24/7 can be written as
= 24/7
= 3 3/7
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!!! HELPP !!!!
Suppose that a loan of
$7500 is given at an interest
rate of 14% compounded
each year.
Assume that no payments
are made on the loan.
Follow the instructions
below.
Do not do any
rounding.
(a) Find the amount owed at
the end of 1 year.
$__
(b) Find the amount owed at
the end of 2 years.
$__
Answers
FV = P (1 + r)^n
$7500(1+0.14)^1= 8550 $
$7500(1+0.14)^2= 9747$