Answers
Answer:
y = (-3x/5) +1
Step-by-step explanation:
We know that the line passes through the point (-5 , 4)
AND
the slope is given to be -3/5
let's look at the slope a bit more
we know that the formula for slope of a line is Rise / Run
Which means that the rise of this line is -3 after spanning 5 units to the right
Hence, the line goes down 3 units after moving 5 units to the right
We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line
since we are already given the slope, we need to find the point where the line intersects the y-axis
Now, back to the given point the line passes through
this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards
So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3
Hence, the y-intercept will be 3 units below the given y -coordinate
y - intercept = (4 - 3) = 1 = y-intercept
Now, using the slope-intercept formula to get the equation:
y = (slope)*x + (y-intercept )
y = (-3/5)x + (1)
y = (-3x/5) + 1
Related Questions
write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.
Answers
Answer:
y = 4x + 3
Step-by-step explanation:
To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.
When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.
So far, the equation is y = 4x + b.
Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.
This would be:
-5 = 4 * -2 + b
-5 = -8 + b
3 = b
This means the equation is y = 4x + 3.
Please answer this correctly
Answers
Answer:
282.74
Step-by-step explanation:
A=2πrh+2πr2=2·π·5·4+2·π·52≈282.74334
All the problems we have looked at in this chapter have assumed that all participants receive an equal share of what is being divided. Often, this does not occur in real life. Suppose Fred and Maria are going to divide a cake using the divider-chooser method. However, Fred is only entitled to 30% of the cake, and Maria is entitled to 70% of the cake (maybe it was a $10 cake, and Fred put in $3 and Maria put in $7). Adapt the divider-choose method to allow them to divide the cake fairly.
Answers
In the game Divider-chooser, as the name implies, one player, referred to as the dividers, divides S into two parts, and the other player, referred to as the dropdown, selects the share they desire while leaving the other share up for the spacer to decide.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
In our instance, Fred and Maria will share a cake in this way.
Without regard to the type of cake, they each prefer, Fred offers to split the cake into 10 equal pieces as the first option.
Maria, the chooser, got to pick any seven pieces to get her fair portion. Fred will get the final three pieces. Maria will have better options with this strategy because she is a picky person.
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What is the theoretical probability of drawing a face card from a deck of cards ?
Answers
Answer:
12/52 = 23%
Step-by-step explanation:
There are 52 cards in a standard deck with 12 face cards.
Of 120 students from College of Education DIVERS State 19 read both accoch tacy and sociology to read Accountacy or Sociology but not french 27 read Sociology but not accountary or french, 53 read sociology or french but 19 read French but not AccoLLA not Accountacy tacy or Sociology an French but not sociology and and 8 read Accountay Assume that each Student reads at least one of the courses. How many students read; (1) All three courses. (11) Only one course (11) two courses (N) Accountacy irrespective of sociology or french
Answers
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
How to solveLet A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.
Let X be the number of students reading all three.
From the information given:
A ∩ S = 19
A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)
S - A - X = 27
S + F - X = 53
F - X = 19
A - X = 86 - 19 = 67
Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120
Solving, we get X = 6, A = 73, S = 52, F = 25.
(1) 6 students read all three courses.
(II) 37 students read only one course.
(III) 77 students read exactly two courses.
(IV) 73 students read Accountancy irrespective of Sociology or French.
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Draw a pair of perpendicular lines
Answers
Answer:
+
perpendicular lines are lines that meet at a 90 degree angle
Step-by-step explanation:
∠A and angle ∠B are supplementary angles. If angle ∠A=(4x−16) and ∠B=(x+1) , then find the measure of \angle B∠B.
Answers
Answer:
Angle b is 40 degrees
Step-by-step explanation:
(4x-16)+(X+1)=180
5x-15=180
+15. +15
5x=195
/5. /5
x=39
39+1
40
Angle b is 40 degrees
Hopes this helps please mark brainliest
Answer:
∡B = 40°
Step-by-step explanation:
Supplementary angles sum 180°
Then:
(4x-16)+(x+1) = 180
4x + x - 16 + 1 = 180
5x - 15 = 180
5x = 180 + 15
5x = 195
x = 195/5
x = 39
∡B = x + 1
∡B = 39 + 1
∡B = 40°
Translate and solve: 3884.4 is what percent of 46.8?
Answers
Answer:
3884.4 is what percent of 46.8 is 8300
How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answers
Answer:
43.6 has 3 significant figures.
Which graph represents the function f(x)=x2−16x−4? Responses A coordinate grid containing a linear function passing through the points negative 4 comma negative 8 and 0 comma negative 4, and 4 comma 0. Image with alt text: A coordinate grid containing a linear function passing through the points negative 4 comma negative 8 and 0 comma negative 4, and 4 comma 0. A coordinate grid containing a linear function passing through the points 0 comma 4 and 4 comma 8, and an open point on the line at negative 4 comma 0. Image with alt text: A coordinate grid containing a linear function passing through the points 0 comma 4 and 4 comma 8, and an open point on the line at negative 4 comma 0. A coordinate grid containing a linear function passing through the points negative 4 comma 0 and 0 comma 4, and an open point on the line at 4 comma 8. Image with alt text: A coordinate grid containing a linear function passing through the points negative 4 comma 0 and 0 comma 4, and an open point on the line at 4 comma 8. A coordinate grid containing a linear function passing through the points negative 4 comma negative 8 and 0 comma negative 4, and an open point on the line at 4 comma 0. Image with alt text: A coordinate grid containing a linear function passing through the points negative 4 comma negative 8 and 0 comma negative 4, and an open point on the line at 4 comma 0.
Answers
The graph of the function f(x) = x² - 16x - 4 is shifted 5 units right and down 68 units.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, A function f(x) = x² - 16x - 4.
f(x) = (x)² - 2×1×8×x + 64 - 4 - 64.
f(x) = (x - 8)² - 68.
The graph of this quadratic function to the parent function g(x) = x² is shifted 8 units to the right 68 units down.
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At a baseball game a vendor sold a combined total of 136 sodas and hotdogs. the number of soda sold was three times the number of the hotdogs sold. find the number of sodas in the number of hotdogs sold
Answers
Answer:
Step-by-step explanation:
Let's call the number of hotdogs sold "x". According to the problem, the number of sodas sold is three times the number of hotdogs sold, or 3x.
We know that the total number of sodas and hotdogs sold is 136. So we can set up an equation:
x + 3x = 136
Simplifying this equation, we get:
4x = 136
Dividing both sides by 4, we get:
x = 34
This means that 34 hotdogs were sold. To find the number of sodas sold, we can multiply the number of hotdogs sold by 3:
3x = 3(34) = 102
So, 102 sodas were sold.
A,B and C are the vertices of a triangle,
A has coordinates (4,6)
B has coordinates (2,-2)
C has coordinates (-2,-4)
D is the midpoint of AB.
E is the midpoint of AC.
prove that DE is parallel to BC.
Answers
Answer:
SSS (side, side, side)
hope it helps:))!!!
y'all can't believe iam in 9th position!!! yay
Answers
Answer:
make me brainliest
Step-by-step explanation:
plssssss
pls help look on the images
Answers
You graph >7 with an open dot to the right.
The inequalities ≤ and ≥ would have a closed dot on the number line.
a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".
s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".
t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".
What are inequality signsInequality signs are mathematical symbols used to indicate that one quantity is greater than, less than, or equal to another quantity. These inequality signs includes:
Less than: <Greater than: >Less than or equal to: ≤Greater than or equal to: ≥These symbols are used in mathematical expressions and equations to compare values and express relationships between them.
Therefore, with a good understanding of inequality signs we conclude that:
On a graph, > 7 is with an open dot to the right.
Only the inequalities ≤ and ≥ would have a closed dot on the number line.
a > 3 is matched to the statement; "you must be older than 13 to play in the basketball league".
s < 3.5 is matched to the statement; "To use one stamp, your domestic letter must be under 3.5 ounces".
t ≥ 48 is matched to the statement; "You must be at least 48 inches tall to ride on the rollercoaster".
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Find the volume of this sphere use three
Answers
2916 ft³
Step-by-step explanation:Volume helps describe the amount of space that a shape takes up.
Volume of a Sphere
Volume describes the 3-dimensional size of a shape. Since volume is a 3-D measurement, the units should be cubed; this explains why the answer is given in feet cubed. In order to find the volume, we need to use the radius. The radius of a sphere is the distance from the center to the outside. In this case, we are told that the radius is 9 ft.
Volume Formula
Every regular shape has its own volume formula. For a sphere, the formula is:
\(V = \frac{4}{3}\pi r^{3}\)So, to find the volume, all we need to do is plug in the radius. For this sphere, r = 9.
V = 4/3 * 3 * 9³V = 2916When using 3 for pi, the volume of the sphere is 2916 ft³.
Line charts, sometimes called line graphs, are used most often when you want to display a numerical variable against ______
Answers
Answer:
time
Step-by-step explanation:
One of the most common graphs is a line graph, also known as a line chart. This graph takes the form of a curve, which is a broken line drawn on an often grid surface. This type of graph is used to illustrate the development of a phenomenon over some time. The curve, drawn by joining the points corresponding to the data, makes it possible to demonstrate an element's variation over time. The title given to the graph will reflect this variation; we will therefore find names like increase, decrease, fluctuation, decline, growth, progression, increase, etc.
We generally place, by convention, the time variable on the horizontal axis (called the abscissa) and the variable corresponding to the phenomenon studied on the vertical axis (called the ordinate).
Consider the function f(x)=2x−−√−8. If f−1(x) is the inverse function of f(x), find f−1(2)
Answers
\(f^(-1)(2) = 6\), which is consistent with our earlier result.
What is inverse function?A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.
Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?
Solution:
To find f^(-1)(2), we need to find the value of x such that \(f(x) = 2\) . We can set up an equation:
\(f(x) = \sqrt(2x - 8) = 2\)
Squaring both sides, we get:
\(2x - 8 = 4\)
\(2x = 12\)
\(x = 6\)
Therefore, \(f^(-1)(2) = 6.\)
We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:
\(f(f^(-1)(x)) = x\)
We can substitute x = 2 and solve for f^(-1)(2):
\(f(f^(-1)(2)) = 2\)
\(f^(-1)(2) = (f(6))^(-1)\)
f(6) = √(2(6) - 8) = √4 = 2
Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.
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In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic
inches. What is the ratio of their diameters?
2:3
413.5
2:9
4:13.5
Answers
Answer:
2:3
Step-by-step explanation:
V = 4/3*pi*r^3
Diameter = 2r
The ratio of diameters of the two planets has volumes of 8 cubic inches and 27 cubic will be 2/3.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other such that they should not be divisible.
The upper number is called as the numerator and the lower is called the denominator.
For example, 3/4 where 3 will be numerator and 4 will be denominator.
Given that the In a display at a museum, two planets have volumes of 8 cubic inches and 27 cubic.
Now volume of planets(sphere) = πD³/6 where D is diameter of sphere
So volume of first planet / volume of second planet ∝ (dia or first)³/(dia of second)³
⇒ V₁/V₂ ∝ (D₁/D₂)³
Given that V₁/V₂ = 8/27
So 8/27 = (D₁/D₂)³
D₁/D₂ = 2/3
Hence, the ratio of diameters of two planets will be 2/3.
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A community would like to add a brick paver border around their swimming pool. They created the following image to represent the pool with the border. A large rectangle with a length of 48 feet and a width of 28 feet. Inside of it is another rectangle with a length of 32 feet and a width of 12 feet. Part A: Find the total area of the brick paver border that surrounds the 12 ft by 32 ft pool. Show your work. (2 points) Part B: If brick pavers cost $8 per square foot, what is the total cost of the brick pavers needed for this project? Explain. (2 points)
Answers
Part A: The total area of the brick paver border is \(960\) square feet.
Part B: The total cost of the brick pavers needed for this project is $\(7,680\).
Part A: To find the total area of the brick paver border, we need to subtract the area of the pool from the area of the larger rectangle. The area of the pool is \(32\) feet multiplied by 12 feet, which is equal to \(384\)square feet.
The area of the larger rectangle is \(48\) feet multiplied by \(28\) feet, which is equal to \(1,344\) square feet. Therefore, the area of the brick paver border is \(1,344\) square feet minus \(384\) square feet, which equals \(960\) square feet.
Part B: If brick pavers cost $\(8\)per square foot, we can calculate the total cost by multiplying the cost per square foot by the total area of the brick paver border. The total area of the brick paver border is \(960\) square feet, and the cost per square foot is $\(8\).
Therefore, the total cost of the brick pavers needed for this project is $\(8\)multiplied by \(960\) square feet, which equals $\(7,680\).
Note: The calculations provided assume that the border consists of a single layer of brick pavers.
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2. A group of 5 friends go to a baseball game. Each person buys a ticket for the game and 2
hot dogs. Lett represent the cost of a ticket and h represent the cost of a hot dog.
a) Write two different expressions that represent the total amount this group spent. Explain
how the two expressions represent different ways of looking at the situation.
Answers
9514 1404 393
Answer:
5(t +2h)5t +10hStep-by-step explanation:
5(t +2h) --- the group total is 5 times the individual total. Each bought one ticket and 2 hot dogs.
__
5t +10h --- the group total is the total spent for tickets plus the total spent for hot dogs. 5 tickets and 10 hot dogs were purchased by the group.
20 points!!! pls hurry!!! I need the CORRECT answer in three hours or less!!! What is the slope of this line? A. -1/3 B. -2/3 C. 1/3 D.2/3
Answers
Answer:
D
Step-by-step explanation:
RISE/RUN = slope
This slope will be POSITIVE because it rises in quadrant 1.
Rise=2, run=3
Slope= 2/3
Hope that helps
Can someone help me out plz
Answers
Volume = πr²h
Radius = 3yd
Height = 12yd
Take π = 22/7
Volume = 22/7×3×3×12
= 2376/7
= 339.4285714yd³
Rounding off to nearest tenth
= 339.43yd³
Answered by Gauthmath must click thanks and mark brainliest
Help with this! Award brainliest!
Answers
Answer:
The table below that is not a function is choice B.
Step-by-step explanation:
All functions have exactly one input for one output, and functions cannot have an input with two different outputs. Since choice B breaks this rule due to the input 2 having outputs 0 and 1, that means that this relationship is not a function.
Which ordered pair solves this linear system?
Y= -x
Y= 2x
Answers
The ordered pair that solves the system of equation is (0, 0).
To solve this system, we can substitute the first equation into the second equation to eliminate y:
x = 2x
Solving for x, we get x = 0.
Substituting x = 0 into the first equation, we get y = 0.
Therefore, the ordered pair that solves the system is (0, 0).
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Help pls will give BRAINLIST
Answers
Hope this helps!
Suppose that survey is planned to estimate the proportion of population that is left-handed The sample data will be used to form confidence interval: Which one of the following combinations of sample size and confidence leve will give the widest interval? n E 500, confidence level 909 n = 1,000, confidence level 909 n = 500, confidence level 959 n = 1,000, confidence level 959 Explain why this sample size and confidence level will give the widest interval: The Select-- sample size and Select- confidence level will both tend to increase the width of the confidence interval:
Answers
The 500 sample size and 95% confidence level will both tend to increase the width of the confidence interval.
In this question, we have been given the combinations of sample size and confidence level.
We need to select a combinations of sample size and confidence level that will give the widest interval.
We know that the confidence level is typically set in the range of 99% to 80%. The 95% confidence interval will be wider than the 90% interval and which will be wider than the 80% interval.
As we know increasing the confidence will increase the margin of error which results in a wider interval.
But increasing the sample size decreases the width of confidence intervals, as it decreases the standard error.
This means, for the widest interval we need to select a high confidence interval and small sample size.
Therefore, the sample size = 500 and the confidence interval = 95% will give the widest interval.
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50 POINTS FOR WHOEVER ANSWERS QUESTIONS
Answers
Answer:The solution is in the attached file
Step-by-step explanation:
2.
Elena has a
pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit. Which measurement is in ounces,
and which is in grams?
170
Answers
Measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
What is measurement?
An object or event's attributes are quantified through measurement so that they can be compared to those of other things or events. Measurement, then, is the process of establishing how big or small a physical quantity is in relation to a fundamental reference quantity of the same kind.
Given:
Elena has a pet parakeet that weighs 6 when measured in one unit and
170 when measured in a different unit.
We have to find the correct units from grams and ounces for these.
We know that, 1 ounce is greater than 1 gram.
1 ounce = 28.3495 grams
Multiply both sides by 6.
6 ounces = 170.097 grams
Approximate the values to the nearest whole number.
6 ounces = 170 grams
Therefore, 6 ounces = 170 grams.
Hence, measurement of weight 6 is in ounces and the measurement of weight 170 is in grams.
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1. Write the equation of the line best fit
Answers
Answer:
y=3/4x+2
Step-by-step explanation:
I found this by using desmos graphing calculator
Mofor has homework assignments in five subjects. He only has time to do two of
them.
Answers
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.
If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:
1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.
2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.
3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.
The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.
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