The equation y = - 8) is graphed in the zy-plane. Which of the following equations will
have a graph that is parallel to the graph of the above equation and have an X-intercept on the
negative x-axis?
Answers
Answer:
[tex]y = \frac{3}{2}(x + 8)[/tex]
Explanation:
Given
[tex]y = \frac{3}{2}(x - 8)[/tex]
Required
Equation of line with the same slope and x intercept on negative axis
We start by solving for the slope of the first equation.
It should be noted that the slope of a line (in equation form) is the coefficient of x.
So, we start by opening the bracket of [tex]y = \frac{3}{2}(x - 8)[/tex]
This gives
[tex]y = \frac{3}{2}(x) - \frac{3}{2}(8)[/tex]
[tex]y = \frac{3}{2}(x) - \frac{24}{2}[/tex]
[tex]y = \frac{3}{2}(x) - 12[/tex]
Hence, the slope of the line is [tex]\frac{3}{2}[/tex]
To solve for x intercept, we simply substitute 0 for y. This gives.
[tex]0 = \frac{3}{2}(x) - 12[/tex]
Add 12 to both sides
[tex]12 + 0 = \frac{3}{2}(x) - 12 + 12[/tex]
[tex]12 = \frac{3}{2}(x)[/tex]
Multiply both sides by ⅔
[tex]\frac{2}{3} * 12 = \frac{3}{2}(x) * \frac{2}{3}[/tex]
[tex]\frac{24}{3} = \frac{3}{2}(x) * \frac{2}{3}[/tex]
[tex]\frac{24}{3} = x[/tex]
[tex]8 = x[/tex]
[tex]x = 8[/tex]
This is the x intercept of equation [tex]y = \frac{3}{2}(x - 8)[/tex]
From the question we understand that the second equation has the same slope and has a negative x intercept as [tex]y = \frac{3}{2}(x - 8)[/tex]
For two parallel lines, their slope are always equal.
Hence, the second equation has the following info.
[tex]Slope = \frac{3}{2}[/tex]
[tex]x,intercept = -8[/tex]
This can be rewritten as follows;.
x = -8
Add 8 to both sides
x + 8 = -8 + 8
x + 8 = 0
Multiply both sides by the slope (3/2)
[tex]\frac{3}{2}(x + 8) = \frac{3}{2} * 0[/tex]
[tex]\frac{3}{2}(x + 8) = 0[/tex]
Recall that to solve for x intercept, we simply substitute 0 for y.
At this point, we also replace 0 with y.
This gives
[tex]\frac{3}{2}(x + 8) = y[/tex]
[tex]y = \frac{3}{2}(x + 8)[/tex]
Hence, the equation of the second line is [tex]y = \frac{3}{2}(x + 8)[/tex]
Answer:
Listen to the other person not me!
Explanation:
Related Questions
NEEEEEDDDD HELLLLPPPPP PLEASEEEEEE!!!!! I will mark brainiest!!!!!
Answers
2: C
3: A
4: B
5: A
6: D
7: C
8: D
9: C
10: B
11: A
12: B
13: D
It would be so great if you could mark brainiest and I hope this helps :)
William works at an advertising agency. His company regularly sends out informative documents to its existing clients. He is in charge of the design of this document that has details about the agency’s various campaigns and activities. Which kind of document is William designing? William is designing a .
Answers
Answer:
Newsletter
Explanation:
Newsletters are updates to things happening at the company that current or existing clients may need to know
what is 2 my moms day
Answers
Answer:
mothers day and her b day
√√√√√√√√
Explanation:
Or maybe a day that’s all about her other than it being specifically a Holliday
What are your attitude toward community colleges.
Answers
The probability that a college freshman takes a math class the first semester is 0.75. The
probability that a college freshman takes an English class the first semester is 0.70. The
probability that a college freshman takes both a math class and an English class the first
semester is 0.60. Find the probability that a college freshman takes a math class or an English
class the first semester.
Answers
Answer:
0.85
Explanation:
Using the addition law of probability which states that for two events A and B, the probability that A or B will occur is the sum of their individual probabilities minus the probability that both A and B will occur. The addition rule is given by the formula:
P(A or B) = P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Let probability that a college freshman takes a math class the first semester = P(A) = 0.75
probability that a college freshman takes an English class the first semester = P(B) = 0.70
probability that a college freshman takes both a math class and an English class the first semester = P(A ∩ B) = 0.60
the probability that a college freshman takes a math class or an English class the first semester = P(A ∪ B) = P(A or B)
Therefore, P(A or B) = P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.75 + 0.7 - 0.6 = 0.85
P(A or B) = 0.85
Most college campuses offer a _____________
for students to exercise.
A. recreation center
B. club membership
C. yoga and Pilates studio
D. gym membership
Answers
Most college campuses offer a recreation center for students to exercise.
What is Recreation center?
The activities of everyday living, employment, sleep, social responsibilities, and leisure take up much of a person's time.
Recreation requires time that is free from prior obligations to physiologic or social demands. In spite of the fact that leisure time has expanded along with lifespan and, for many, with fewer hours needed for physical and financial survival, some contend that time pressure has increased for modern individuals as a result of their commitment to too many responsibilities.
Affluence, demographic patterns, and growing commercialization of recreational options are further factors contributing to an enhanced role for recreation.
Therefore, Most college campuses offer a recreation center for students to exercise.
To learn more about Demographic patterns, refer to the link:
https://brainly.com/question/29386695
#SPJ5
someone help me please!
Answers
Answer:
1) 28.6%
2) 78.6 %
3)
(a) 75%
(b) 25%
Explanation:
1)
14 total blocks.
4 red blocks
Probability that the block is red:
[tex]\frac{4}{14}[/tex] = 0.286 = 28.6%
2)
There are 3 yellow blocks.
14 total blocks - 3 yellow blocks = 11 blocks that are not yellow
Probability that the block is not yellow:
[tex]\frac{11}{14}[/tex] = 0.786 = 78.6%
3)
(a)
The word or means that you need to add the probabilities together.
63 + 12 = 75%
(b)
Probability that Joe Starr will sign with the Yankees or the Dodgers is 75%.
If Joe Starr signs with a team other than the Yankees or the Dodgers, you need to subtract 75 from 100
100 - 75 = 25%
Read the following paragraph that Elijah wrote about Lawton Allen, founder and president of Hope House, for his blog series “Inspirational Stories”: More than 50 people have found jobs through this program. Mr. Allen was once homeless. You can take a career class there and get help with a job search. Hope House was founded in March 2014. Did you know that they will fit you for a suit so you can go to a job interview? The organization has nonprofit status, so most of the budget can be spent helping people. Hope House is a place to go when you are down on your luck. How could Elijah improve his writing?
Answers
Answer:
Elijah has too many ideas in his paragraph. With this single jam-packed paragraph, he’s provided too many details and no real focus. Elijah needs to decide what his most important idea is and place it prominently in his first paragraph. Then he should move the other ideas to the following paragraphs and provide details to support them.
Explanation:
.........................
Read the excerpt below from Raise Happy Chickens and Other Poultry and answer the question that follows.
Once you have decided that keeping chickens is feasible, which breed will suit you? If you sort out your priorities, you will find this out. You need to decide whether you want lots of eggs per week or only a few; meat; beauty; rare breeds; pets; your vegetable garden weeded. No single type or breed will fulfill all of these requirements and it is so important that you like the look of the hens you buy as they will become part of the family.
Source: Roberts, Victoria. Raise Happy Chickens and Other Poultry. New York: Macmillan, 2010. xii. Print.
Based on this excerpt, what is the author’s purpose for writing?
to persuade
to inform
to express self
to entertain
Answers
Answer:
The answer is "To Inform!"
Explanation:
This is obvious at the start of the passage where the author brings out the topic which is about keeping chickens. He also enumerates the different factors that need to be considered in deciding which breed to choose. Hope this helps!
Choose six answers that are most similar? Freedom tender rhythm horse bread cabbage green tire goose asset
Answers
Jar B has 20% more
marbles than jar A. What
percent of the marbles in
jar B have to be moved
to jar A in order that the
number of marbles in each
jar will be the same?
Answers
If Jar A has 100 marbles and B has 120 marbles which is 20% more than Jar A then 10 marbles would have to be moved from Jar B to Jar A. To calculate the percentage it would be 10/120 which reduces to .0833 repeating or 8 1/3%.
Hope this helps :)
In the writing and language portion of the SAT questions ask students to do what?
Answers
Answer:
The SAT Writing and Language Test asks you to be an editor and improve passages that were written especially for the test—and that include deliberate errors.
Explanation:
Please help.
Explain one way in which the informal sector contributes positively and one way it contributes negatively to the financial sector.
Answers
Answer:positively cheap labour.
Then negatively Low taxes
Explanation:because it's of low level school people or drop outs who don't mind much of wages as compared to office related work or jobs
Then low taxes as a result of favour being imposed on the cheap kabour
In the xy-plane, the graph of the function
f(x) = x+ + 5x + 4 has two x-intercepts. What is the
13
2.
distance between the x-intercepts?
TELE.
A) 1
B) 2
C) 3
D) 4
