Answer:
y = 1/4x -4
Step-by-step explanation:
Since you know that that slope int. equation is y = mx+b, and the m is the slope just plug in the slope in the equation. So it will be y = 1/4x + b.
Then what you will do is solve for b in the equation. So what you do is plug in the x and y value from the coordinate given in the equation, so it will be like this: -6 = 1/4(-8) +b
-6 = -2 +b
-4 = b
b = -4
So then you plug back the b value into the equation with slope to wtite the equation. So it would be, y = 1/4x -4
A line passes through the points (0, -2) and (3, 4). Find the slope of the line.
Find the equation of the trend line (line of best fit). Show your work.
Answer:
y=42+2x
Step-by-step explanation:
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If 15 is subtracted from three times a certain number,
the result is 27. Find the number
Answer:
x=14
Step-by-step explanation:
3x-15=27 (add 15 to both sides)
3x=42 (divide both sides by three)
x=14
The required number is -4.
What are linear equation?A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.
Now it is given that, 15 is subtracted from three times a certain number,
the result is 27.
Now let x be the number.
Three times the number = 3x
Therefore, 15 is subtracted from three times a certain number = 15 - 3x
Therefore, the equation for 15 is subtracted from three times a certain number, the result is 27 is,
15 - 3x = 27
Subtracting 15 both the side we get,
15 - 3x - 15 = 27 - 15
⇒ -3x = 12
or, x = -12/3
⇒ x = -4
which is the required number.
Thus, the required number is -4.
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Two pairs of jeans cost $75 before tax. If the total tax paid for the two pairs of jeans was $6, what is the percentage of tax? Please show work
y= 5x -7 -3x -2y= -12
To find the solutions by substitution:
1. Clear a variable (x or y) in one of the equations:
As in the first equation the variable y is clear you don't need to clear a variable.
2. Substitute the value of the clear variable in the other equation:
\(-3x-2(5x-7)=-12\)3. Make operations:
\(-3x-10x+14=-12\)\(-13x+14=-12\)4. Clear the variable x:
5. Subtitute the value of the x in the first equation to find the value of y:
\(y=5(2)-7\)\(y=10-7=3\)----------------------------
Then so, the value of the variables in the given system of equations is:y=3x=2What is the solution to the equation?
√
2
x
+
10
−
6
=
2
The solution to the equation √2x + 10 − 6 = 2 is x = 2
How to determine the solution to the equation?The equation is given as
√2x + 10 − 6 = 2
Evaluate the like terms
So, we have the following representation
√2x + 4 = 2
Evaluate the like terms
So, we have the following representation
√2x = -2
Take the square of both sides
So, we have
2x = 4
Divide both sides by 2
x = 2
Hence, the solution is 2
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Answer:
x = 27
Step-by-step explanation:
\(\sqrt{2x + 10} - 6 = 2\) Isolate the radical by adding 6 to both sides.
\(\sqrt{2x+10} =8\) Square both sides.
\(2x + 10 = 64\) Subtract 10 from both sides.
\(2x = 54\) Divide each side by 2.
x = 27
please help me with this question!
Answer:
figure
Step-by-step explanation:
it out urself
thanks
Store purchases boxes of pasta for $0.82 in cans of sauce for $1.62 how much profit does the store make from this purchase?
Answer: $2.44
Step-by-step explanation: ur just gonna do 0$.82 + $1.62 = $2.44
THERES UR ANSWER.........!!!!!!!!!!!!!
Arrange the following integers from largest (top) to smallest (bottom). The integers are: − 90 , 87 , − 21 , 56 , 95 and 65.
The Arrangement of the given integers from largest (top) to smallest (bottom), will be: 95, 87, 65, 56, -21, -90.
What are the integers?Integers is one that is made up of whole numbers, comprising both positive and negative values, along with zero. There are no fractional or decimal components in integers. Integers refer to complete numbers that comprise positive and negative values, along with zero.
To arrange integers from largest to smallest, one can look at the numbers, compare and place in descending order. A good examples of integers are -3, -2, -1, 0, 1, 2, 3, etc.
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Together, teammates pedro and ricky got 2668 base hits last season. Pedro had 278 more hits than ricky. How many hits did each player have?
Answer:
pedro has 1612 hits
ricky has 1334 hits
Step-by-step explanation:
pls help!!! worth 14 points:))))
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
180-152=28
28 _________
A piece of property has the
shape of a right triangle the
longer leg is 20m longer than
twice the length of the shorter
leg. the hypotenuse is 10m
longer than the length of the
longer leg. Find the length
of the sides 1 the triangular
Lot.
Answer:
2(50 + 30)
130 is the hypotenuse
Mrs. Boiler is three times as old as her son, William. Mr. Boiler is 4 years older than his wife. If William's age will be x years old in 5 years, express the sum of their current ages, in terms of x.
Answer:
william's age=x-5, mrs boiler=3 (x-5), mr boiler=4+3 (x-5) the sum=7x-31
average linkage is a measure of calculating dissimilarity between two clusters by . a. finding the distance between the two closest observations in the two clusters b. finding the distance between the two most dissimilar observations in the two clusters c. computing the average distance between every pair of observations between two clusters d. computing the distance between the cluster centroids
The correct answer will be c. computing the average distance between every pair of observations between two clusters
What is Cluster Analysis?
Grouping "things" into "similar" groups is one of the most fundamental, straightforward, and frequently overlooked techniques (or processes) of comprehending and learning, on which cluster analysis is based. To create clusters of a particular type, this process uses a variety of different algorithms and techniques. It is also a component of data management in statistical analysis.
A multivariate data mining technique called cluster analysis aims to group things (such goods, responders, or other entities) based on a set of user-selected features or characteristics. Data compression, machine learning, pattern recognition, information retrieval, and other areas all use this essential and crucial phase of data mining, which is also a widely used method for statistical data analysis.
Here as per the given question, there are two clusters given.
Hence, computing the average distance between every pair of observations between two clusters.
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Assume the random variable X is normally distributed, with mean µ-47 and standard deviation o=7. Find the 6th percentile The 6th percentile is (Round to two decimal places as needed.)
The 6th percentile of a normally distributed random variable with a mean of µ = -47 and a standard deviation of σ = 7 is -53.24.
To find the 6th percentile, we can use the standard normal distribution table or a statistical calculator. The 6th percentile represents the value below which 6% of the data falls. In other words, there is a 6% probability of observing a value less than the 6th percentile.
Using the standard normal distribution table, we look for the closest value to 0.06 (6%) in the cumulative probability column. The corresponding Z-value is approximately -1.56. We can then use the formula for converting Z-values to raw scores:
X = µ + Zσ
Substituting the given values, we have:
X = -47 + (-1.56) * 7 = -53.24
Therefore, the 6th percentile of the distribution is -53.24.
This means that approximately 6% of the data will be less than -53.24 when the random variable X follows a normal distribution with a mean of -47 and a standard deviation of 7.
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Help plssssss it due today
Answer:
C
Step-by-step explanation:
\(2\sqrt{32}\)
√32 can be written as
√32 = √2×2×2×2×2√32 = 2 × 2√2√32 = 4√2Now,
= 2√32
= 2 × 4√2
= 8√2
The water level in a port is described by the function y = 3.7 cosine (startfraction pi x over 6 endfraction) 5, where y represents the water level measured in meters, and x represents the number of hours since high tide. after approximately how many hours would you expect the water to reach a depth of 7 meters? round to the nearest tenth of an hour. hours
After 1.91 hours one can expect the water to reach a depth of 7 meters.
Given function is:
\(y=3.7cos\frac{\pi x}{6} +5\)
Where, y represents the water level measured in meters, and x represents the number of hours since high tide.
What is a function?A function is a rule that relates two variables.
A depth of 7m means:
\(7=3.7cos\frac{\pi x}{6} +5\)
\(2=3.7cos\frac{\pi x}{6}\)
\(cos\frac{\pi x}{6}=\frac{2}{3.7}\)
\(\frac{\pi x}{6} =cos^{-1} \frac{2}{3.7}\)
\(\frac{\pi x}{6}= 57.28 deg\)
\(\frac{\pi x}{6}= 57.28 *\frac{\pi }{180}\)
x=1.91 hour
Therefore, after 1.91 hours one can expect the water to reach a depth of 7 meters.
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Answer:
1.9
Step-by-step explanation:
Which manufacturers make laptops with a hard disk of at least 100GB? c) Find the model number and price of all products (of any type) made by manufacturer B. d) Find the model numbers of all color laser printers. e) Find those manufacturers that sell Laptops, but not PC ’s.
a) Manufacturers that make laptops with a hard disk of at least 100GB: Here are some manufacturers that make laptops with a hard disk of at least 100GB: Apple Asus Dell HP Huawei Lenovo Microsoft Samsung
b) Model number and price of all products (of any type) made by manufacturer B:To find the model number and price of all products (of any type) made by manufacturer B, we would need to know which specific manufacturer B is. Once we know that, we can search for their products and retrieve the model numbers and prices.
c) Model numbers of all color laser printers:The model numbers of all color laser printers will depend on the specific manufacturers. However, we can generally look for color laser printers on the websites of manufacturers such as HP, Canon, Epson, Brother, Lexmark, and Samsung to find their model numbers.
d) Manufacturers that sell laptops, but not PCs: To find the manufacturers that sell laptops but not PCs, we would need to compare the product offerings of different manufacturers and identify those that only offer laptops and not desktop PCs. Some examples of such manufacturers include Apple and Huawei, who do not offer desktop PCs but only offer laptops and tablets.
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if f' * (x) = 2x - 1 and g(x) - x + 3 prove that f g(x) is a linear function
The composite function fg(x) is a linear function by the proof shown below
Proving that the function fg(x) is a linear functionFrom the question, we have the following parameters that can be used in our computation:
f(x) = 2x - 1
g(x) = -x + 3
The above functions are linear functions
This means that the function fg(x) will also be a linear function
To prove this, we have
f(g(x)) = 2(g(x)) - 1
substitute the known values in the above equation, so, we have the following representation
f(g(x)) = 2(-x + 3) - 1
So, we have
f(g(x)) = -2x - 7
Hence, the function is a linear function
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sin2x - căn 3 cos2x + 2 = 0
Geometry: Transformations
The point (-4, -1), is the bottom of a triangle. Which point would it map to if the triangle was translated right 5 units and reflected about the x-axis.
A) (2, 1)
B) (1, 1)
C) (-4, -4)
D) (-9, 1)
Answer: Ur answer will be A.
The admissions officer for Clearwater College developed the following estimated regression equation relating the final college GPA to the student's SAT mathematics score and high-school GPA. y-bar = -1.41 +0.0235 x_1 +0.00486 x_2 where x_1 = high-school grade point average x_2 = SAT mathemathics score y=final college grade point average Round test statistic values to 2 decimal places and all other values to 4 decimal places. Do not round your intermediate calculations. a. Complete the missing entries in this Excel Regression tool output. Enter negative values as negative numbers. b. Using α = 0.05, test for overall significance. c. Did the estimated regression equation provide a good fit to the data? Explain. ___________ because the R_α^2 value is __________ than 0.50
An R-squared value of 0.50 is considered moderate, but the interpretation of the results will depend on the specific circumstances.
To test for overall significance, we can perform an F-test with a significance level of 0.05.
The null hypothesis is that all regression coefficients are equal to zero, while the alternative hypothesis is that at least one coefficient is not equal to zero.
The F-statistic is calculated as (SSR/k) / (SSE/(n-k-1)), where SSR is the regression sum of squares, SSE is the error sum of squares, k is the number of independent variables, and n is the sample size. In this case, SSR = 1.0254, SSE = 0.4082, k = 2, and n = 20. Plugging in these values, we get an F-statistic of 13.12. Comparing this to the F-distribution with 2 and 17 degrees of freedom at a significance level of 0.05, we find the critical value to be 3.54. Since our F-statistic is greater than the critical value, we reject the null hypothesis and conclude that the estimated regression equation is significant.c) The R-squared value measures the proportion of variability in the dependent variable that can be explained by the independent variables. An R-squared value of 0.50 indicates that 50% of the variability in the final college GPA can be explained by the SAT mathematics score and high-school GPA. Whether or not this is a good fit for the data depends on the context and the goals of the analysis.To learn more about “critical value” refer to the https://brainly.com/question/14040224
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What would f(2)= be and how would you find f(x)=-65 when x =? I got the other ones but I do not understand this.
f(x) = x² - 2x - 80
f(2) = 2² - 2(2) - 80
f(2) = 4 - 4 - 80 = -80
x² - 2x - 80 = - 65
x² - 2x - 80 + 65 = 0
x² - 2x - 15 = 0
(x - 5)(x + 3)= 0
x = 5; x = -3
Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?
Answer:
3
Step-by-step explanation:
I LOVE CANDY hope it helps 45/3 is hte gretaets factor the answer is 3.. i think
Answer:
45 gift bags.
Step-by-step explanation:
take 30 and divide it by 15. your answer is 2. 2 hk bags and 1 blow pop is equal to 3. so you would multiply 3 by 15 to get your conclusion
Samantha has found 3 points on the function f(x) = 4x - 1. They are (-3, -13), (0, -1), and (2, 7). Which answer choice shows three points on the inverse function?
Answer: (-13, -3), (-1, 0), and (7, 2).
Step-by-step explanation:
First, we have a function f(x) and we know that 3 points (x, y) of this function are:
(-3, -13), (0, -1), and (2, 7).
Now, if we have a function g(x) and we know that g(x) is the inverse of f(x), we have that:
g(f(x)) = x.
this means that if f(x) = y then g(y) = x.
then if (-3, -13) is a point in the f(x) graph, (-13, -3) must be a point in the g(x) graph.
Then 3 points in on the inverse of the function f(x) are:
(-13, -3), (-1, 0), and (7, 2).
5. On the way to the museum, 50% of the students rode on the first bus.
What fraction of the students rode on the second bus? Show your work
in the space below. Remember to check your solution.
Answer:
1/2
Step-by-step explanation:
Since 50% is half the number of students it means that half of the students took the first bus which leaves the other half to take the 2nd bus
Alfred begins collecting model cars. He buys 3 new model cars every week. Is the number of cars he owns proportional to the number of weeks that have passed since he started his collection?
Answer:yes
Step-by-step explanation:
for every week he gets 3 cars so it can only incre ment by 3. (1,3) (2,6) (3,9) and so on.
A government starts off with a total debt of $5.5 billion. In year one, the government runs a deficit of $600 million. In year two, the government runs a deficit of $1.5 billion. In year three, the government runs a surplus of $400 million. What is the total debt of the government at the end of year three?
Assuming the government runs a deficit of $200 million in year three, what is the total debt of the government at the end of year three?
If a government runs a budget deficit of $5 billion dollars each year for ten years, then a surplus of $2 billion for five years, and then a balanced budget for another ten years, what is the government debt?
The total debt of the government at the end of year three is $7.2 billion.
How does the government's deficit and surplus impact the total debt by the end of year three?Starting with a total debt of $5.5 billion, the government's deficits of $600 million in year one and $1.5 billion in year two contribute to an increase in the debt. However, in year three, the government runs a surplus of $400 million, which helps reduce the debt.
Thus, the total debt at the end of year three is calculated by adding the initial debt and deficits, and subtracting the surplus. In this case, the total debt at the end of year three is $7.2 billion.
How does assuming a deficit of $200 million in year three affect the government's total debt at the end year three?Assuming the government runs a deficit of $200 million in year three, the calculation changes. With the initial debt of $5.5 billion, the deficits of $600 million in year one and $1.5 billion in year two, and the additional deficit of $200 million in year three, the total debt at the end of year three would be $7.8 billion. This demonstrates how the deficit amounts impact the overall debt accumulation.
If a government runs a budget deficit of $5 billion each year for ten years, resulting in a total deficit of $50 billion, followed by a surplus of $2 billion per year for five years, reducing the debt by $10 billion, and then maintaining a balanced budget for another ten years, the government debt would amount to $40 billion. The deficits over the initial ten years lead to a significant accumulation of debt, but the subsequent surpluses help mitigate the debt by reducing the deficit. Finally, the balanced budget in the later years ensures that there is no further increase in debt. Understanding the interplay between deficits, surpluses, and a balanced budget is crucial to grasp the long-term implications on government debt and fiscal stability.
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PLEASEE HELPP I FORGOT HOW TO DO DIS !
The triangle has height 4.6 mm and its base has length 3.4 mm, so its area is
1/2 • 4.6 mm • 3.4 mm = 7.82 mm²