Write the equation of a line given the slope and y- intercept.29. m = -3 and b13Equation:y=-3+2/3EUEquation of a line that is ||EEquation of a line that is I
Answers
Given:
m = -3
b = 2/3
Asked: Equation of the line, Equation of a line that is parallel, and Equation of a line that is perpendicular.
Solution:
A. Equation of the line :
y = -3x + 2/3
B. Equation of the line that is parallel:
Slope of a line that is parallel = m = -3
y = -3x + 5 (you may know that two lines are parallel if they have the same slope)
C. Equation of the line that is perpendicular:
Slope of a line that is parallel = -1/m = -1/-3 = 1/3
y = 1/3x + 2/3
Related Questions
Solve 8x - 2 = 14. A. X = 2 B. X= 4 O c. x = 1.5 O D. x = 8
Answers
Answer:
The answer is A
Step-by-step explanation:
8 x 2 = 16 - 2 = 14
Which point lies in the plane represented by the question
Answers
Given:
Equation is:
\(2x+7y+3z=-25\)Find-:
The point represents by the equation
Explanation-:
The point satisfied the equation,
\(\begin{gathered} 2x+7y+3z=-25 \\ \\ (x,y,z)=(-6,-4,5) \\ \\ =2x+7y+3z \\ \\ =2(-6)+7(-4)+3(5) \\ \\ =-12-28+15 \\ \\ =-25 \end{gathered}\)So, the point ( -6, -4,
Convert 5 hours to seconds
Answers
Answer:
18000
Step-by-step explanation:
18,00 seconds would be the answer
An hour is a unit of time equal to 60 minutes, or 3,600 seconds. A second is the base unit of time.
Help asap!
Will mark brainiest!
Answers
The net surface area of rectangular prism is 242.2 meters square.
What is the net surface area?A rectangular prism is a three-dimensional shape with two top and bottom faces and four lateral faces. A rectangular prism seems to be a solid three-dimensional shape with six faces and rectangular bases. A rectangular prism seems to be a cuboid, and a cuboid and a rectangular prism both have the same cross-section.
This rectangular prism's surface area = l x b
We have provided
4 rectangular areas
A₁ = 4.3m x 10m
= 43 m²
2 rectangular areas
A₂ = 6.75m x 5.2m
= 35.1 m²
As a result, the rectangular prism's surface area is:
S.A. = 4A₁ + 2A₂
S.A. = 4(43) + 2(35.1)
= 172+ 70.2
= 242.2 meter square
As a result, the net surface area of the rectangular prism is 242.2 meters square.
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Given f(X)= 2x-5 and g(X) = x^2-3x which of the following is the domain of f(g(X))?
Answers
First, let's calculate the composite function f(g(x)):
\(\begin{gathered} f(x)=2x-5 \\ g(x)=x^2-3x \\ \\ f(g(x))=2(x^2-3x)-5 \\ f(g(x))=2x^2-6x-5 \end{gathered}\)Since the function is a quadratic polynomial and there are no fractions or square roots, so the domain of this function is all real numbers, that is, (-infinity, infinity).
The following data give the estimated prices of a 6-ounce can or a 7.06-ounce pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets. 1.04 1.95 1.23 0.83 0.70 0.48 1.45 1.14 0.58 0.64 0.69 0.63 0.62 0.67 Find the range. Find the sample variance. (Round your answer to four decimal places.) Find the sample standard deviation. (Round your answer to three decimal places.)
Answers
For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.
To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.
To find the sample variance, follow these steps.
1. Calculate the mean of the data set.
2. Subtract the mean from each value in the data set.
3. Take the summation of the squares of the result.
4. Divide the sample size minus 1.
Upon calculation, the sample variance is 0.1716.
Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.
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what is the negation of the statement "all summer days are muggy"
Answers
Answer:
What is the negation of the statement?
In Mathematics, the negation of a statement is the opposite of the given mathematical statement. If “P” is a statement, then the negation of statement P is represented by ~P. The symbols used to represent the negation of a statement are “~” or “¬”.
Step-by-step explanation:
Suta purrachina za waurdo
Choose a factor pair of 36.Show how this factor pair can be found in the prime factorization of 36
Answers
Answer:
2*2*3*3
Step-by-step explanation:
https://math.answers.com/Q/How_can_you_use_prime...
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answers
Answer:
the answer is b, c, d, a, respectively
The managers at Smith's BBQ have been asked to cut back Total Wages by 2.5% in the next two
weeks to account for slow sales. Using the Current Week as the benchmark, what would be the
estimate for the reduced Total Wages for the next two weeks combined?
Answers
The required estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.
What is the percentage?The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
To estimate the reduced Total Wages for the next two weeks combined, we can use the following formula:
Reduced Total Wages = Current Total Wages x (1 - Wage Reduction Percentage)
Reduced Total Wages = C × (1 - 0.025) × 2
Simplifying this expression, we get:
Reduced Total Wages = C × 0.975 × 2
Reduced Total Wages = 1.95C
Therefore, the estimate for the reduced Total Wages for the next two weeks combined would be approximately 1.95 times the amount of money being paid to all employees over the course of a week in the Current Week.
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Select all the correct answers.
Which statements are true about function g?
Answers
Answer:
i need the question
Step-by-step explanation:
Point P is in the interior of
Answers
∵ m< OZQ = m\(\because m\angle OZP=62\)Substitute the measures of the given angles in the equation above
\(\therefore125=62+m\angle PZQ\)Subtract 62 from both sides
\(\begin{gathered} \therefore125-62=62-62+m\angle PZQ \\ \therefore63=m\angle PZQ \end{gathered}\)The measure of angle PZQ is 63 degrees
9. a 95% confidence interval for p, the proportion of all shoppers at a large grocery store who purchase cookies, was found to be (0.236, 0.282). which of the following is a correct statement?
"A 95% confidence interval for p, the proportion of all shoppers at a large grocery store who purchase cookies, was found to be (0.236, 0.282). Which of the following is a correct statement?
(a) About 95% of the shoppers have between a 23.6% and a 28.2% chance of purchasing cookies.
(b) There is a 95% probability that the sample proportion lies between 0.236 and 0.282.
(c) If a second sample was taken, there is a 95% chance that its confidence interval would contain 0.25.
(d) This confidence interval indicates that more than 25% of shoppers buy cookies.
(e) We are reasonably certain the true proportion of shoppers who purchase cookies is between 24% and 28%.
Answers
The correct statement is about 95% of the shoppers have between a 23.6% and a 28.2% chance of purchasing cookies.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
95% confidence interval for the proportion of all shoppers at a large grocery store who purchase cookies here is given to be (0.236, 0.282).
As the minimum limit value here is 0.236 and max limit value is 0.282, therefore the inferences here are given as:
At least 23.6% of the shoppers purchase cookies.
At most 28.2% of the shoppers purchase cookies
Therefore, the correct answer is A.
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Anna is 4 years older than her brother. Two years ago her brother was 3/4 her age. How old will her brother be in five years
Answers
Answer: he will be 14
Step-by-step explanation:
Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))
Help please
At the beginning of spring, Kaylee planted a small sunflower in her backyard.
When it was first planted, the sunflower was 15 inches tall. The sunflower
then began to grow at a rate of 1 inch per week. How tall would the sunflower
be after 4 weeks? How tall would the sunflower be after w weeks?
Answers
Answer:
19
Step-by-step explanation:
1 x 4 = 4
15 + 4 = 19
Try this out, hope it helps!
Answer:
equation for how tall sunflower would be after 'w' weeks: y = 15 + w
Step-by-step explanation:
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
Answers
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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Karen Gaines invested $10,000 in a money market account with an interest rate of 3.25% compounded semiannually. Three years later, Karen withdrew the full amount to put toward the down payment on a new house. How much did Karen withdraw from the account?
Answers
The total amount of money that Karen withdrew from her account three years later is $11,015.48.
How much did Karen withdraw?When an amount earns a compound interest seminannually, it means that the amount invested and interest accured increases in value twice a year.
The formula for calculating future value:
FV = P (1 + r)^nm
FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years$10,000 x (1 + 0.0325/2)^6 = $11,015.48
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Which describes the transformation shown below
A
B
C
D
Answers
Answer:
i think the answer is a to be honest
Step-by-step explanation:
Find the vertex of the function h(x) = x2 – 4x – 21
Answers
Answer: (2, -25)
Step-by-step explanation:
The x coordinate of the vertex is \(x=-\frac{-4}{2(1)}=2\).
When x=2, \(h(2)=2^2 - 4(2)-21=-25\).
So, the vertex is (2, -25).
A zoning board in Pine County is interested in estimating the proportion of its residents in favor of larger school zones in that county. A random sample of Pine County residents was selected. All the selected residents were asked, "Are you in favor of larger school zones in your county?" A 95% confidence interval for the proportion of residents in favor of larger school zones in that county was calculated to be 0.48 ± 0.02. Which of the following statements is correct?
A) At the 95% confidence level, the majority of area residents is in favor of larger school zones in that county.
B) In repeated sampling, 95% of sample proportions will fall in the interval (0.46, 0.50).
C) At the 95% confidence level, the estimate of 0.48 is within 0.02 of the true proportion of county residents in favor of larger school zones in that county.
D)In repeated sampling, the true proportion of county residents in favor of larger school zones in that county will fall in the interval (0.46, 0.50).
E) In repeated sampling, 95% of the time, the true proportion of county residents in favor of larger school zones in that county will be equal to 0.48.
Answers
Answer:
C) At the 95% confidence level, the estimate of 0.48 is within 0.02 of the true proportion of county residents in favor of larger school zones in that county.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI between 0.48 - 0.02 = 0.46 and 0.48+0.02 = 0.5.
The interpretation is that we are 95% sure that the true population proportion is in this interval, that is, with 95% confidence, the estimate is within 0.02 of the true proportion, and so the correct answer is given by option C.
factorize the following
plzzzzzzz help
Answers
Answer:
1. 8ab ( 2b + 3 )
2. 4ac³ ( 3b + 4c )
Step-by-step explanation:
1.
16a²b = 8ab x 2b
24ab = 8ab x 3
16a²b + 24ab
= 8ab ( 2b + 3 )
2.
12ab²c³ = 4ac³ x 3b²
16ac⁴ = 4ac³ x 4c
12ab²c³ + 16ac⁴
= 4ac³ ( 3b + 4c )
Bruce has a pet worm that fell into a well. The well is 37 feet deep. Each
day, the worm climbs up 7 feet, but each night, it slides back down 2 feet.
How many days will it take for Bruce's worm to get to the top of the well?
Answers
The requried number of days that bruce's worm will take to climb up the well is 7.4 days.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here
As mentioned in the quesiton,
The well is 37 feet deep. Each day, the worm climbs up 7 feet, but each night, it slides back down 2 feet.
Net height, that bruce's worm climbs every day,
= 7 - 2
= 5 feet
Now,
The ratio of the total depth of the well to the net height gives the number of days for the worm to climb up the well,
So,
= 37 / 5
= 7.4 days
Thus, the requried number of days that bruce's worm will take to climb up the well is 7.4 days.
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Identify if the line has a positive or negative slope. Calculate the slope of the line 2y = x - 8
Answers
Answer: m = 1/2
Step-by-step explanation: To find the slope of the line, we would first put the equation in y = mx + b form to get y by itself on the left side.
So divide both sides by 2 to get y = 1/2x - 4.
Now the slope is the coefficient of the x term which is 1/2.
This is a positive slope.
I WILL GIVE YOU LOTS OF Points
Answers
Answer:
D
Step-by-step explanation:
7^2 + 4^2 = \(\sqrt{65\\\)
assume it is a triangle and x is the hypotenuse and use Pythagorean theorem
Answer:
D
Step-by-step explanation:
7^2 + 4^2 =
assume it is a triangle and x is the hypotenuse and use Pythagorean theorem
63,416,831 to the nearest ten thousand help p
Answers
A bag of marbles contains 4 green marbles, 3 blue marbles, 2 red marbles, and 5 yellow marties How many total
possible outcomes are there when choosing a marble from the bag?
4
11
14
16
Answers
Answer:
14
Step-by-step explanation:
Just Add 4+3+2+5=14 ans easy :D
The deli gets 12 -pound blocks of cheese. They slice the cheese into 1/4 - pound and 1/2 - pound packages to sell to customers. How many 1/4 - pound packages of cheese can the deli make with 12 - pounds of cheese?
Answers
Answer:
Total number of package Deli made = 48 package
Step-by-step explanation:
Given:
Amount of cheese block = 12 pound
Amount of cheese in each package = 1/4 pound
Find:
Total number of package Deli made
Computation:
Total number of package Deli made = Amount of cheese block / Amount of cheese in each package
Total number of package Deli made = 12 / [1/4]
Total number of package Deli made = 12 x 4
Total number of package Deli made = 48 package
Answer: 48 packages
Emma has been keeping an eye on an emerald ring she likes. Its original price was $3,000. After being marked down for a clearance sale, it is now $2,220. By what percent has the price of the ring gone down?
Answers
Answer:
26%
Step-by-step explanation:
Original price of the emerald ring
= $3000
Price after the sale
= $2220
Decrease in amount
= $(3000 - 2220)
= $780
Percentage decrease
\( \\ = (\: \frac{decrease \: in \: amount}{original \: amount} \times 100)\%\)
\( \\ = ( \frac{780}{3000} \times 100)\%\)
\( \\ = (26)\%\)
\( \\ = 26\%\)
Hence, by 26% has the price of the ring gone down.
I need help with this math question (complex fractions and rational expressions). For the answer, I need a step-by-step explanation so I can understand it, thank you :) I tried putting it into Symbolab to understand it but that wasn't very helpful so I think human assistance would be more beneficial haha. \((\frac{(7x^{2} + 5x) }{x^{2} + 1 } ) - (\frac{5x}{x^{2} -6})\)
Answers
Answer:
can you type it out
Step-by-step explanation:
Express the solution graphically of -1/3(2x+1) <3
Answers
Answer:
The first picture is the solution that I worked out and the second is the graph of the two solutions.
The graph of the solution of inequality \(-\frac{1}{3} (2x+1) < 3\) is as shown below.
What is inequality?"It is a mathematical statement of an order relationship (greater than, greater than or equal to, less than, or less than or equal to) between two numbers or algebraic expressions."
For given question,
We have been given a inequality \(-\frac{1}{3} (2x+1) < 3\)
We solve above inequality.
\(\Rightarrow -\frac{1}{3} (2x+1) < 3\\\\\Rightarrow \frac{1}{3} (2x+1) > -3\\\\\Rightarrow 2x+1 > -9\\\\\Rightarrow 2x > -10\\\\\Rightarrow x > -5\)
so, the solution of the inequality \(-\frac{1}{3} (2x+1) < 3\) is all points on the X-axis which are greater than x = -5.
The graph of the solution of inequality \(-\frac{1}{3} (2x+1) < 3\) is as shown below.
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