Using point-slope form, write the equation of the line that passes through (2, –1) and has a slope of –5. A. (y – 1) = –5(x + 2) B. (y – 2) = –5(x – 1) C. (y + 1) = –5(x – 2) D. (y + 2) = –5(x – 1) Please select the best answer from the choices provided A B C D
Answers
Thus, the correct option from the is C, (y + 1) = –5(x – 2) using the point-slope form.
To begin, let's review what the point-slope form of an equation of a line is.
The point-slope form is:
y - y1 = m(x - x1)
Where m is the slope of the line and (x1, y1) is a point on the line.
This form is useful when we know a point on the line and its slope, as in this problem.
So, we are given that the line passes through the point (2, -1) and has a slope of -5. We can use the point-slope form to write the equation of the line as:
y - (-1) = -5(x - 2)
Simplifying this equation, we get:
y + 1 = -5x + 10
Subtracting 1 from both sides, we get:
y = -5x + 9
This is the equation of the line that passes through the point (2, -1) and has a slope of -5.
Now, let's check which answer choice matches this equation.
A. (y – 1) = –5(x + 2)
y - 1 = -5x - 10
y = -5x - 9
This equation does not match our equation, so A is not the correct answer.
B. (y – 2) = –5(x – 1)
y - 2 = -5x + 5
y = -5x + 7
This equation also does not match our equation, so B is not the correct answer.
C. (y + 1) = –5(x – 2)
y + 1 = -5x + 10
y = -5x + 9
This equation matches our equation, so C is the correct answer.
D. (y + 2) = –5(x – 1)
y + 2 = -5x + 5
y = -5x + 3
This equation does not match our equation, so D is not the correct answer.
Therefore, the correct option from the choices provided is C, (y + 1) = –5(x – 2).
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Related Questions
A dog's body temperature (t), in degrees Fahrenheit (°F), is considered normal when the value of the expression below is no more than 0.75.
|t - 101.75|
A dog's body temperature is 101.2°F. Based on the expression, which statement about the dog's body temperature is true?
A. Since normal body temperature is from 100.25°F to 103.25°F, the dog's body temperature is considered normal.
B. Since normal body temperature is from 100.25°F to 103.25°F, the dog's body temperature is not considered normal.
C. Since normal body temperature is from 101°F to 102.5°F, the dog's body temperature is considered normal.
D. Since normal body temperature is from 101°F to 102.5°F, the dog's body temperature is not considered normal.
Answers
C. The dog's body temperature is regarded normal because the range for a healthy adult is 101°F to 102.5°F.
What exactly is value?
Value is the appraised, monetary, or material worth of a good, service, or asset. Several ideas are associated with the word "value," including shareholder value, company value, fair value, and selling price.
The phrase to assess whether a dog's body temperature is acceptable or not is:
|t - 101.75| ≤ 0.75
When we replace the specified value for the dog's body temperature, we obtain:
|101.2 - 101.75| = |-0.55| = 0.55
The body temperature of the dog is regarded as normal because 0.55 is less than 0.75.
Option C, however, is the one that accurately depicts the dog's core body temperature:
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Baron Blakk decided to start saving. He deposited seven thousand kroner at the start of each year. He always received a fixed interest rate of 2.3%. How much interest had he received in total after eight years? Give the answer to two decimal places.
Answers
The interest he had received in total after eight years is 1396.59 kroner
How much interest had he received in total after eight years?From the question, we have the following parameters that can be used in our computation:
Principal, P = 7000
Rate, r = 2.3%
Time, t = 8
The interest he had received in total after eight years is calculated as
I = P(1 + r)^t - P
Substitute the known values in the above equation, so, we have the following representation
I = 7000(1 + 2.3%)^8 - 7000
Evaluate
I = 1396.59
Hence, the total interest is 1396.59 kroner
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frn3n ionfrnffn kfrk jfrnfn
Answers
What are the lengths of AD, DB, AE, and EC? Measure and record them.
Answers
A clothing store is running an offer on men's shirts. When two shirts are bought at regular price, the third shirt is 50% off. Jeremy decided to buy three shirts for his brother using the offer. The regular price for a shirt is $36.00. Based on a tax rate of 7.50% that is applied after the discount, Jeremy paid a total of $ 100 for three shirts, including tax.
Answers
Answer: $96.75
Step-by-step explanation:
Regular price is $36 and the third shirt will come at a 50% discount.
Total price for the 3 shirts is;
= 36 + 36 + (36 * 50%)
= $90
The total after-tax is;
= 90 * ( 1 + tax rate)
= 90 * ( 1 + 7.50%)
= $96.75
I am unsure what the question is but the total amount that Jeremy should pay is $96.75.
daniel has read 40% of a book. He has more 36 pages to finish. How many pages are there in the book?
Answers
Answer:
60 Pages.
Step-by-step explanation:
Using the given information, we can figure out that the remaining 36 pages are 60% of the book.
This is because 100% (whole book) - 40% (what you already read)= 60%= the remaining 36 pages
We can set up a problem to find 36 pages out of how many total pages is equal to 60%
(36/x) x 100 = 60%
=3600/60
=60 pages.
We can check our work by saying checking that 40% of 60 is 24, and 24+36 is 60 pages.
can someone please answer
Answers
Answer:
-20
Step-by-step explanation:
2((-1)(3)-7) = x
-1•3 first, then subtract that by 7 = -10
then multiply by 2 = -20
Suppose there are five processes, their arrival time and running time are listed as follows. Adopt FCFS and SJF, respectively, give the schedule order and average waiting time. (12) 1) Give the schedule order of FCFS. (3) 2) Compute the average waiting time of FCFS. (3) Give the schedule order of SJF. (3) 3) 4) Compute the average waiting time of SJF. (3) Process Arrival time Running time Pl 0 3 P2 3 10 P3 4 6 P4 5 1
Answers
Average waiting time for FCFS: 8.75
SJF schedule order: Pl -> P4 -> P3 -> P2Average waiting time for SJF: 4.75
To solve this scheduling problem using FCFS (First-Come, First-Served) and SJF (Shortest Job First) algorithms, let's go step by step:
Schedule order for FCFS:
The FCFS algorithm schedules processes based on their arrival time. So, the schedule order for FCFS is as follows:
Pl -> P2 -> P3 -> P4
Average waiting time for FCFS:
To compute the average waiting time for FCFS, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P2 | 3 | 10 | 3
P3 | 4 | 6 | 13
P4 | 5 | 1 | 19
Average waiting time = (0 + 3 + 13 + 19) / 4 = 8.75
Therefore, the average waiting time for FCFS is 8.75.
Schedule order for SJF:
The SJF algorithm schedules processes based on their running time. The process with the shortest running time gets executed first. If multiple processes have the same running time, the process with the earliest arrival time is selected first. The schedule order for SJF is as follows:
Pl -> P4 -> P3 -> P2
Average waiting time for SJF:
To compute the average waiting time for SJF, we need to calculate the waiting time for each process and then take the average.
Process | Arrival Time | Running Time | Waiting Time
Pl | 0 | 3 | 0
P4 | 5 | 1 | 3
P3 | 4 | 6 | 6
P2 | 3 | 10 | 10
Average waiting time = (0 + 3 + 6 + 10) / 4 = 4.75
Therefore, the average waiting time for SJF is 4.75.
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plz help giving brainlest
Answers
Answer:
190
Step-by-step explanation:
are of rectangle is length times width
19 times 10 = 190
Answer:
190km
Step-by-step explanation:
If we're trying to find an area of a rectangle, we're going to use the following formula:
a=l×w
A being our answer, area, l being length, our 19km, and w, being our width, our 10km.
We multiply 19 and 10 and get the result 190km!
I hope that this helped out!
Have a good rest of the day/evening.
who was often called the father of modern mathematics because he created analytic geometry and the cartesian coordinate system?
Answers
Answer:
I believe Descartes
Step-by-step explanation:
René Descartes was one of the key figures in the Scientific Revolution of the 17th Century.
anaiah is currently consuming 20 eggplants and 30 kiwis. his marginal utility per dollar spent on the 20th eggplant is 160 utils and his marginal utility per dollar spent on the 30th kiwi is 190 utils. the price of an eggplant is $3 and the price of a kiwi is also $3. he has $180 to spend.
How much is Anaiah currently spending on these goods?
What are the reasons that Anaiah is behaving irrationaly?
- he is not spending his entire income
- he is spending to much on kiwis
- he is not balancing what he spends.on each good
- his marginal utility per dollar spent is not the same for both goods
Answers
Anaiah currently spending $150 on these goods
*He is not spending his entire income
*His marginal utility per dollar spent is not the same for both goods
What is unit rate?
A unit rate is the cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.
consumption of eggplant
= 20 price of eggplant
= 3
consumption of kiwi is
= 30 price of eggplant
= 3
Formula:
Spending
= price of eggplant*consumption of eggplant + price of kiwi*consumption of kiwi
= 3*20+3*30
= 150
Utility per one dollar spent on the 20th eggplant
= 160
Marginal utility per dollar spent on the 30th kiwi
= 190 utils.
Note that y 160<190
Currently spending= 150
& budget = 180
150<180
According theory of choice consumer need the maximize the utility so answer is
Answer -:
*He is not spending his entire income
*His marginal utility per dollar spent is not the same for both goods
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DUE NOW!!! HELP IF U CAN
Answers
Work out x^2- 2x
when x =4
Answers
Answer:
8
Step-by-step explanation:
\(x^2-2x \\x=4\\(4)^2-2(4)\\16-8\\8\)
a survey conducted five years ago by the health center of a university showed that 18% of their students smoked at that time. a new survey was conducted this year and a random sample of 200 students was selected from the university. it was found that 40 students were smokers this year. do these data provide convincing evidence to suggest that the percentage of students who smoke has changed over the last five years? we will conduct a hypothesis test at a 5% level of significance.
Answers
There is not enough evidence to suggest that the percentage of students who smoke has changed over the last five years at a 5% level of significance.
To test whether there is a significant change in the percentage of students who smoke in the university, we can use a hypothesis test with the following hypotheses:
Null hypothesis (H0): The percentage of students who smoke has not changed over the last five years (p = 0.18).
Alternative hypothesis (Ha): The percentage of students who smoke has changed over the last five years (p ≠ 0.18).
We will use a two-tailed test with a significance level of 0.05. Using the sample data, we can calculate the sample proportion of smokers as 40/200 = 0.20.
Next, we can use the z-test statistic to calculate the p-value, which is the probability of observing a sample proportion as extreme as 0.20 or more extreme, assuming the null hypothesis is true. The z-test statistic is given by:
z = (p' - p) / √[p(1-p)/n]
where p' is the sample proportion, p is the hypothesized proportion under the null hypothesis, and n is the sample size.
Substituting the values, we get:
z = (0.20 - 0.18) / √[(0.18)(0.82)/200] = 1.13
Looking up the z-score in the standard normal table, we find that the corresponding two-tailed p-value is approximately 0.26.
Since the p-value (0.26) is greater than the significance level (0.05), we fail to reject the null hypothesis.
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Why is –1 + 1 = 0?
(please, please answer!!)
Answers
Answer
so if you got 1 candy bar and your friend took 1 candy bar from you how many candy bars do you have left? 0, you have zero
Write 0.004 in standard form
Answers
Answer:
0.004 x 10^0
Step-by-step explanation:
Which expression is equivalent to 9+24 ? Multiple choice question. A) 3(3 + 24) B) 3(3 + 8) C) 3(9 + 8) D) 9(1 + 24)
Answers
Answer:
b
Step-by-step explanation:
3(3+8)=9+24=33
a = -5 b= 7
-2b + a
( Worth 10 points)
Answers
Answer:
-19
Step-by-step explanation:
so you are just going to substitute in -5 for a and 7 for b.
-2(7)+ (-5)
Use algebra to identify the inverse of the function
Answers
Using algebra, the inverse of the function is \(f^{-1} (x) = \sqrt{y+4} +1\).
What is inverse of a function?An inverse in mathematics is a function that "undoes" another function. Therefore, if f (x) generates y, which is subsequently transformed into x by applying y to the inverse of f(x).
Given that \(f(x) = (x-1)^{2} -4\).
Let us consider f(x) = y.
\(y = (x-1)^{2} -4\)
Add 4 on both sides of the equation.
\(y+4= (x-1)^2 -4 +4\\y + 4 =(x-1)^2\)
Square root on both sides of the equation.
\(\sqrt{y+4} = \sqrt{(x-1)^2}\\\\ \sqrt{y+4} = x-1\)
Add 1 to both sides of the equation.
\(\sqrt{y + 4} +1 =x -1 +1\\\\\sqrt{y + 4} +1 =x\)
Hence the value of \(f^{-1} (x) = \sqrt{(y+4)} +1\).
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The mean age of 4 women in an office is 27 years old. The mean age of 4 men in an office is 33 years old. What is the mean age (nearest year) of all the people in the office?
Answers
Answer:
30 years
Step-by-step explanation:
Given;
Average age of women = 27 years
Average age of men = 33 years
Number of women = 4
Number of men = 4
Total number of people in the office = 4+4 = 8
Sum of age of women = mean × number = 27 × 4 = 108 years
Sum of age of men = mean × number = 33 × 4 = 132 years
Total sum of age of people = 108 + 132 = 240 years
Mean age = total sum of age of people in the office/number of people in the office
Mean age of people = 240/8 = 30 years
Choose the correct term to complete each sentence. An ____ consists of a coefficient matrix, a variable matrix, and a constant matrix.
Answers
The correct term to complete the sentence is "equation."
An equation consists of a coefficient matrix, a variable matrix, and a constant matrix.
The correct term to complete each sentence. An consists of a coefficient matrix, a variable matrix, and a constant matrix. Choose the correct term to complete each sentence. An consists of a coefficient matrix, a variable matrix, and a constant matrix.
A variable matrix typically refers to a matrix where the elements or entries are variables instead of specific numerical values. In mathematics, a matrix is a rectangular array of numbers, symbols, or expressions arranged in rows and columns. Each entry in the matrix can be referred to by its position, which is denoted by row and column indices.
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y=
y=
\,\,-4x
−4x
y=
y=
\,\,3x+28
3x+28
Answers
answer:
don't know, don't worry
mark me as brainlist
The Martinez family is having their swimming pool filled with water by a professional company. A tanker truck can fill the pool at a rate of 150 gallons per minute. Use Scratchpad to show your work for the questions below.
a. It took 30 minutes to empty the tank of the truck. How many gallons of water were in the tank?
gallons
Answers
The number of gallons of water in the tank is mathematically given as
x=4500gallons
This is further explained below.
How many gallons of water was in the tank?a British measure of capacity for both liquid and dry goods that is equivalent to four quarts, 277.42 cubic inches, or 4.544 liters, and is sometimes referred to as an imperial gallon.
Since 150 gallons per minute. and 30 minutes
Generally, the equation for the number of gallons is mathematically given as
x=150*30
x=4500
In conclusion,
x=4500gallons
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What are the boundaries of the class 1.87-3.43? 3). A) 1.87-3.43 B) 1.82-3.48 C) 1.879-3.439 D) 1.865-3.435
Answers
The boundaries of the class 1.87-3.43 are D) 1.865-3.435. The lower boundary is 1.865 and the upper boundary is 3.435.
The boundaries of the class 1.87-3.43 can be determined by subtracting and adding half of the smallest possible unit of measurement to the given class limits. In this case, since the given class limits are 1.87 and 3.43, we need to find the boundaries by subtracting and adding half of the smallest possible unit of measurement.
Let's assume the smallest possible unit of measurement is 0.01.
To find the lower boundary:
Lower Boundary = Lower Limit - (0.01/2)
Lower Boundary = 1.87 - 0.005
Lower Boundary = 1.865
To find the upper boundary:
Upper Boundary = Upper Limit + (0.01/2)
Upper Boundary = 3.43 + 0.005
Upper Boundary = 3.435
Therefore, the boundaries of the class 1.87-3.43 are:
D) 1.865-3.435
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sqaure root of x2=169
Answers
Answer:
13
Step-by-step explanation:
What is the area of EFG? ILL GIVE BRAINLIEST!!!!
Answers
Answer:
36
Step-by-step explanation:
8*9=72 72/2=36
help please its about angles
Answers
a straight line forms the angle 180°, so we know that both angles will add up to 180°
We can use this knowledge to have that
3x+18 + 4x+15 = 180
We then simplify
7x + 33 = 180
7x = 147
x = 21
Hey there!
3x + 18 + 4x + 15 = 180°
COMBINE the LIKE TERMS
(3x + 4x) + (18 + 15) = 180°
3x + 4x + 18 + 15 = 180°
7x + 33 = 180°
SUBTRACT 33 to BOTH SIDES
7x + 33 - 33 = 180 - 33
CANCEL out: 33 - 33 because it give you 0
KEEP: 180 - 33 because it help solve for the x-value
NEW EQUATION: 7x = 147
DIVIDE 7 to BOTH SIDES
7x/7 = 147/7
CANCEL out: 7/7 because it gives you 1
KEEP: 147/7 because it help solve for the x-value
NEW EQUATION: x = 147/7
SIMPLIFY IT!
x = 21
Therefore, your overall answer is: x = 21
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
2x + 3y=24 and 8x-2y=-16
Solve using substitution
Answers
The solution to the system of equations is x = 0 and y = 8. This means the two equations intersect at the point (0, 8). Both equations are satisfied when x = 0 and y = 8.
To solve the system of equations using substitution, we'll solve one equation for one variable and substitute that expression into the other equation.
Given equations:
2x + 3y = 24
8x - 2y = -16
Let's solve equation 1) for x:
2x = 24 - 3y
x = (24 - 3y)/2
Now substitute this expression for x in equation 2):
8((24 - 3y)/2) - 2y = -16
4(24 - 3y) - 2y = -16
96 - 12y - 2y = -16
-14y = -112
y = (-112)/(-14)
y = 8
Substitute the value of y back into equation 1) to find x:
2x + 3(8) = 24
2x + 24 = 24
2x = 0
x = 0/2
x = 0
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A 9 pound bag of brown rice cost 40. 32 what is the price per ounce
Answers
Answer:
price per ounce: $4.48
Step-by-step explanation:
divide 40.32 by 9
Answer:
0.28
Step-by-step explanation:
9 pound = 144 ounce
40.32 / 144 = 0.28
To the nearest square unit, what is the area of the regular heptagon shown below?
Answers
Answer:1572
Step-by-step explanation:
Am god
To the nearest square unit, Area of heptagon = 1572 square unit
The correct option is B.
What is heptagon?A heptagon is a polygon with 7 sides and 7 angles. Sometimes the heptagon is also known as “septagon”. All the sides of a heptagon meet with each other end to end to form a shape.
Given,
Side length of heptagon = 20.8 unit
Radius of the incircle = 21.6 unit
Perimeter of heptagon = 7×side = 7×20.8 = 145.6 unit
Area of heptagon = (1/2)Perimeter × radius of incircle
= 0.5 × 145.6 × 21.6
= 72.8 × 21.6
= 1572.48 square units
Hence, 1572 square unit is the area of the heptagon rounded to nearest square unit.
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