Write an equation for the line shown in the graph (ik the picture is blurry but help me if you know)
Answers
By answering the above question, we may state that As a result, the coordinates graph's line has the equation y = (4/5)x + 11/5.
what are coordinates?A coordinate system in geometry is a method that employs one or more integers or coordinates to identify the precise placement of points or other geometrical objects on a manifold, such as Euclidean space. Pairs of integers called coordinates are used to locate a point or object on a two-dimensional plane. The position of a point on a 2D plane is described by two integers known as the x and y coordinates. a group of numbers that represent precise positions. Usually, there are two numbers in the figure. The front-to-back distance is represented by the first number, while the top-to-bottom distance is represented by the second number. like in (12.5), when there are 12 units below and 5 above.
In order to determine the line's equation, we must first determine the slope (m) of the line using the following formula:
m = (y2 - y1) / (x2 - x1) (x2 - x1)
where the coordinates of the two sites the line travels through are (x1, y1) and (x2, y2), respectively.
In place of the values we hold:
m = (7 - 3) / (6 - 1) (6 - 1)
m = 4 / 5
Now that we have the slope, we can solve the equation of a line using the point-slope form, which is:
y - y1 = m(x - x1) (x - x1)
where one of the locations the line travels through is (x1, y1).
y - 3 = (4/5)(x - 1) (x - 1)
y = (4/5)x - 4/5 + 3 y = (4/5)x + 11/5 is equal to y - 3 = (4/5)x - 4/5.
As a result, the graph's line has the equation y = (4/5)x + 11/5.
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Related Questions
The function f(x) = -x^4 + 3 does not have an absolute maximum. TRUE OR FALSE?
Answers
Answer:
False.
Step-by-step explanation:
The equation f(x) = [tex]-x^4[/tex] + 3 has a maximum interval of (0, 3).
First simplify the equation:
f(x) = [tex]-4x^3[/tex]
Then find the intervals:
Increasing -∞<x<0, Decreasing 0>x>∞
Plug x = 0 into [tex]-x^4[/tex]+3: 3
Therefore the maximum interval of [tex]f(x) = -x^4 + 3[/tex] is (0, 3)
F(x)=-x^4+3 ⮕ (1)
The plot of the function is (1)
The f(x) has the absolute mad, and it is at x=0
Solution
False
Dennis charges $1.75 for gasoline plus $7.50 per hour for mowing lawns. Which inequality represents xx, the number of hours Dennis must work to earn at least $100?
Answers
Dennis must work for at least 10.81 hours to earn at least $100.
What is inequality in mathematics?
An inequality in mathematics is a statement that compares two values or expressions using one of the inequality symbols: < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
For example, x < 5 is an inequality that says that the value of x is less than 5. Another example is y ≥ 2x + 3, which is an inequality that says that the value of y is greater than or equal to 2 times x plus 3.
Inequalities are often used to describe ranges of values, such as the set of all numbers that are less than or equal to 5 (written as x ≤ 5) or the set of all numbers that are greater than 2 and less than 7 (written as 2 < x < 7). Inequalities can be solved, graphed on a number line, and used to make comparisons between values or expressions.
Let's start by writing an expression for the total amount of money Dennis earns in x hours:
Total earnings = 1.75x + 7.5x
Simplifying this expression, we get:
Total earnings = 9.25x
Now, we want to find the inequality that represents the number of hours Dennis must work to earn at least $100. We can set up the inequality as follows:
9.25x ≥ 100
This inequality states that Dennis must earn at least $100, which is represented by the value on the right-hand side of the inequality. The left-hand side of the inequality represents Dennis's earnings, which we found to be 9.25x. Since we want to find the minimum number of hours Dennis must work to earn at least $100, we need to solve for x:
9.25x ≥ 100
x ≥ 100/9.25
Simplifying the right-hand side of the inequality, we get:
x ≥ 10.81
Therefore, the inequality that represents the number of hours Dennis must work to earn at least $100 is:
x ≥ 10.81
This means that Dennis must work for at least 10.81 hours to earn at least $100.
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Need. help asap ........................
Answers
Answer: 135x
Step-by-step explanation: I did this and got it right
Answer:
The answer is 135
Step-by-step explanation:
Always use PEMDAS when solving so this id what you do
P (parenthesis): 12-2 = 10
E (exponent): [tex]3^{3}[/tex] = 3x3x3 = 27
M (multiply): 10x27= 270
D (divide): 270 divided by 2 = 135
*There is no addition and subtraction in the equation so you dont have to use them*
I hope this helped you!!
For questions 4-6, calculate the simple interest and the amount after the specified period of time.
4. $328.00 invested at 5% for 3 years.
4. Interest:
5. $635.85 invested at 7% for 6 months.
6. $175.01 invested at 8% for 90 days.
Amount:
5. Interest:
Amount:
6. Interest:
Amount:
Answers
Step-by-step explanation:
328×5×3÷100
100÷5=20
20÷2=10
328÷2=164
Sheila has 5 meters of decorative ribbon she cuts 2 3/4 meters to wrap a present then she cuts off 0.9 meters to make a bracelet how much ribbon does she have left
Answers
By answering the above question, we may state that We still have the expressions same problem because this result is negative once more.
what is expression ?In mathematics, you can multiply, divide, add, or take away. The following is how an expression is put together: Numeric value, expression, and math operator The elements of a mathematical expression include numbers, parameters, and functions. It is feasible to use contrasting words and expressions. Any mathematical statement containing variables, numbers, and a mathematical action between them is known as an expression, often known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.
Sheila began with five metres of ribbon and chopped off two and a half to wrap a gift. This may be written as a mixed number:
[tex]2 3/4 = (2 * 4 + 3)/4 = 11/4[/tex]
So, she still has 5 to 11/4 metres of ribbon.
She takes off 0.9 metros of the bracelet's ribbon before cutting it.
She now has the following total quantity of ribbon left:
[tex]5 - 11/4 - 0.9 = 20/4 - 11/4 - 9/10 = (100 - 110 - 36)/20 = -46/20 = -23/10[/tex]
In light of the issue, the outcome is negative, which is illogical.
[tex]5 - 2 3/4 - 0.9 = 5 - 11/4 - 9/10 = (100 - 110 - 36)/20 = -46/20 = -23/10[/tex]
We still have the same problem because this result is negative once more.
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1/8 an integer or not
Answers
Answer: no
Step-by-step explanation: an integer is a number that is not a fraction or a decimal
Answer:
nope
Step-by-step explanation:
it's a decimal, so by definition, it's not an integer.
if the volume of the cylinder is 120in3, what is the volume of cone?
Answers
Volume of the cone is 1/3 of the volume of the cylinder, so volume of the cone = 40in³.
What is the volume of a cylinder and cone?One-third of the volume of a cylinder is the formula for the volume of a cone. The product of the base area and the height is used to calculate a cylinder's volume. As a result, the formula for a cone's volume is given as V = (1/3) r²h, where "h" stands for the cone's height and "r" for its base radius.
A cylinder's volume is determined by how many unit cubes (cubes of the same length) can fit inside of it. It is the area the cylinder takes up, just as any three-dimensional shape's volume is the area it occupies.
We are aware that a circle serves as the base of a right circular cylinder and that r² is the area of a circle of radius r. As a result, using the formula above, V = r²h is the right circular cylinder's volume.
Now in the given question, volume of the cylinder = 120in³.
Volume of cone = 1/3(volume of the cylinder)
= 1/3 × 120
40in³.
Therefore, volume of the cone = 40in³.
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How many times 9 goes into 22
Answers
Explanation:
22 divided 9 equals 2.44
If f(x) = 2/3x^2 + 8x, what is the value of f(6)?
Answers
Answer:198
Step-by-step explanation:
15+15+15+!5
f(6)=72
Explanation:
to evaluate f(6) substitute x = 6 into f(x)
f(6)=2/3×(6x6x6x6x6x6)+(8×6)
=2/3×36+48
24+48=72
72 is your answer
What are the relative minimum and relative maximum values over the interval [1, 5] for the function shown in the graph?
Responses
a. relative minimum = −3, relative maximum = −14
b. relative minimum = 1.5, relative maximum = 4.5
c. relative minimum = 1.5, relative maximum = −3
d. relative minimum = −14, relative maximum = −3
Answers
Answer:
d
Step-by-step explanation:
As you can tell by the graphs the relative minimum is -14 since that is where the curve ends and -3 is the maximum due to the top curve being at -3
Answer:
d) relative minimum = −14, relative maximum = −3
Step-by-step explanation:
The relative minimum and maximum values are the minimum and maximum y-values of the points in the domain of the function.
From inspection of the given graph, the minimum y-value in the interval [1, 5] is -14 and the maximum y-value in the interval [1, 5] is -3.
Therefore:
Relative minimum = -14Relative maximum = -3please solve this im in a rush −6(a + 8)
Answers
Answer:
-6a - 48
Step-by-step explanation:
−6(a + 8)
= -6a - 48
So, the answer is -6a - 48
Answer: -6a - 48
Step-by-step explanation: distribute -6
A normal distribution is observed from the number of points per game for a certain basketball player. The mean for this distribution is 20 points and the standard deviation is 3 points. Use the empirical rule for normal distributions to estimate the probability that in a randomly selected game the player scored less than 26 points. Provide the final answer as a percent rounded to one decimal place.
Answers
Answer: The empirical rule for normal distributions states that for a normal distribution with mean μ and standard deviation σ:
Approximately 68% of the data falls within one standard deviation of the mean, i.e., in the interval (μ - σ, μ + σ).
Approximately 95% of the data falls within two standard deviations of the mean, i.e., in the interval (μ - 2σ, μ + 2σ).
Approximately 99.7% of the data falls within three standard deviations of the mean, i.e., in the interval (μ - 3σ, μ + 3σ).
In this problem, the mean is μ = 20 points and the standard deviation is σ = 3 points. To estimate the probability that the player scored less than 26 points, we need to find the z-score for the value 26, which is given by:
z = (x - μ) / σ = (26 - 20) / 3 = 2
Using the empirical rule, we know that approximately 95% of the data falls within two standard deviations of the mean. Therefore, the probability that the player scored less than 26 points is approximately:
P(X < 26) = P(Z < 2) ≈ 0.9772
Converting to a percentage and rounding to one decimal place, we get:
P(X < 26) ≈ 97.7%
Therefore, the estimated probability that the player scored less than 26 points in a randomly selected game is 97.7%.
Step-by-step explanation:
Julio wears a blue shirt every 3 days. Larry wears a blue shirt every 4 days.on April 12 ,both Julio and Larry wore blue shirt.what is the next date that they will both wear a blue shirt?
Answers
Answer:
Step-by-step explanation:
We need to find the least common multiple (LCM) of 3 and 4, which will give us the number of days after which both Julio and Larry will wear a blue shirt on the same day again.
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...
The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ...
We can see that the least common multiple of 3 and 4 is 12, because it is the smallest number that appears in both lists.
This means that Julio and Larry will wear a blue shirt on the same day every 12 days.
Since they both wore blue shirts on April 12, the next date that they will both wear a blue shirt is 12 days later, on April 24.
Answer:
To find the next date that they will both wear a blue shirt, we need to find the least common multiple (LCM) of 3 and 4, which is 12.
So, Julio will wear a blue shirt on April 12, 15, 18, 21, and so on.
Larry will wear a blue shirt on April 12, 16, 20, 24, and so on.
The next date they will both wear a blue shirt is when their dates coincide, which is April 24.
Therefore, Julio and Larry will both wear a blue shirt again on April 24.
Step-by-step explanation:
Which of the following functions has a greater average rate of change on the interval (0, 2) than the function shown in the graph?
Answers
The average rate of change on that interval is r = 7/3.
What is the average rate of change on the interval?For any function f(x), we define the average rate of change on an interval [a, b] as
r = ( f(b) - f(a))/(b - a)
here, we have,
In this case, the interval is [0, 6], using the graph we can find the values of the function for these inputs:
f(0) = -8
f(6) =6
Replacing that we get:
r = (6 - (-8))/(6 - 0)
r = (6 + 8)/6
r = 14/6
r = 7/3
The average rate is 7/3.
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Use the percent formula, A=PB, where A is P percent of B, to answer the following question. What is 29% of 10?
Answers
The value of 29% of the number 10 will be 2.9.
What is the percentage?The part of any product is given as though it was a ratio of a hundred. The ratio can be represented as a quarter of 100. The phrase % decrypts to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
The value of 29% of 10 is calculated as,
⇒ 29% of 10
⇒ 0.29 x 10
⇒ 2.9
The value of 29% of the number 10 will be 2.9.
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sebastian is creating a rectangular garden in his backyard. the length is 11 feet. the perimeter of the garden must at least be 56 feet and no more than 76 feet. what is the width of the garden must at least be?
Answers
The garden must be at least 17 feet wide.
Let's use w to represent the garden's breadth.
The perimeter of a rectangle is given by the formula P = 2L + 2W, where L is the length and W is the width.
Assuming that the length is 11 feet, the expression for the perimeter can be written as follows:
P = 2(11) + 2w = 22 + 2w
The perimeter is stated to be at least 56 feet and not to exceed 76 feet. Hence, we can create the inequality shown below:
56 ≤ 22 + 2w ≤ 76
When we take 22 out of every aspect of the inequality, we get:
34 ≤ 2w ≤ 54
By multiplying every aspect of the inequality by 2, we obtain:
17 ≤ w ≤ 27
Thus, the garden must be at least 17 feet wide.
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Answer the statistical measures and create a box and whiskers plot for the following set of data. 3 , 4 , 6 , 8 , 10 , 10 , 13 , 13 , 13 , 14 , 15 , 16 , 17 , 17 3,4,6,8,10,10,13,13,13,14,15,16,17,17 Min: Q1: Med: Q3: Max:
Answers
The statistical measures for this set of data are as follows:
Minimum: 3
First Quartile (Q1): 8
Median: 13
Third Quartile (Q3): 16
Maximum: 17
What is data?Data is information that has been collected and organized to be used for a purpose. It can include numbers, words, images, or any other type of information. Data is used to answer questions, solve problems, and inform decisions. Data can come from a variety of sources such as surveys, experiments, and observations.
A box and whiskers plot can be used to display the distribution of the data set. The box and whiskers plot will use the minimum, maximum, Q1, median and Q3 values to create a visual representation of the data set. The box in the box and whiskers plot is bound by the Q1 and Q3 values, with the median value being represented as a horizontal line inside the box. The whiskers are lines that extend from the box to the minimum and maximum values. The points outside the whiskers are considered outliers in the data set.
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The Murray family uses up a
1
2
-gallon jug of milk every 3 days. At what rate do they drink milk?
Answers
Answer:4
Step-by-step explanation:12/3
During an experiment, the temperature of a mixture changes from 12.25°F to 15.6°F.
What is the percent of increase in the temperature of the mixture?
(ROUND TO NEAREST
HUNDREDTH )
Answers
Answer:
The percentage increase is 21.4% increase
Given Data
Initial temperature = 12 1/4°F = 49/4 = 12.25°F
Final Temperature = 15 3/5°F = 78/5 = 15.6°F
We know that the expression for percentage increase is given as
Percent Increase = Increase/Final *100
Percent Increase = 15.6-12.25/15.6 *100
Percent Increase = 3.35/15.6 *100
Percent Increase = 0.214 *100
Percent Increase = 21.4%
Hence there is a 21.4% increase
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Use synthetic division to evaluate for the indicated x value.
--x³-2; f (5)
f (5)
=
Answers
We can write the function f(x) = (- x³ - 2) at {x} = 5 as -
f(5) = - 127.
What is expression?An expression is a term made up of both constants and variables.
Given is the function as -
f(x) = - x³ - 2
We can write f(5) as -
f(5) = - (5)³ - 2
f(5) = - 125 - 2
f(5) = - 127
Therefore, we can write the function f(x) = (- x³ - 2) at {x} = 5 as -
f(5) = - 127.
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If x= 3 and y = 4, find the value of: x + y
J
Please answer ASAP
Answers
x= 3 and y = 4
so :
x + y = 3 + 4 = 7
Answer : 7
Which of these areas is getting the least precipitation?
Answers
Answer:
A. Lancaster
Lancaster is on the edge of the yellow area.
Calculate the lengt line x
Answers
Answer:
90
Step-by-step explanation:
Solve the system by substitution.
x = y
4x +9y=-39
Answers
Answer:
this question is knd a hard
x = y
4x + 9y = -39
4x + 9x = -39
13x = -39 /÷13
x = -3
∴ x = -3, y = -3
What are the possible values for
From the diagram you know that the triangles have two pairs of congruent corresponding sides, that LM< _, and that m
Please imma give brainlest
Help
Answers
Measure of ∠K in triangle KLM by open mouth theorem is ∠K < 90°.
What is open mouth theorem?The open mouth theorem states that if two sides of a triangle are congruent with two sides of another triangle, and the included angle of the first triangle is greater than the included angle of the second, then the third side of the first triangle is longer than the third side of the second triangle.
Given,
two triangles KLM and NOP
KL≅NO and KM≅NP
LM = 7, OP = 9
LM < OP
By open mouth theorem
m∠K < m∠N
m∠N = 90°
m∠K < 90°
Hence, m∠K < 90° is the value of angle K, in triangle KLM
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About how many cups or juice does this container hole? Hint: 1 cup=14.44in^3)
Answers
The number of cups or juice in this container hole if 1 cup=14.44in³ is 23.49 cups.
How many cups or juice does this container hole?Volume refers to the unit of a three-dimensional measure of space that comprises a length, a width and a height. It is measured in units of cubic centimeters in metric, cubic inches or cubic feet.
Volume of a cylinder = πr²h
Where,
π = 3.14
r = diameter/2
= 6 in/2
= 3 in
h = 12 in
So,
Volume of a cylinder = πr²h
= 3.14 × 3² × 12
= 339.12 cubic inches
Recall,
Hint: 1 cup=14.44in³
Therefore,
No of cups in the container hole = 339.12 cubic inches/ 14.4 cubic inches
= 23.49 cups
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(20) The images below show a picture of Ricoffy tin container with no dimensions indicated. The container is 2,5 times smaller than what it is in reality. Diameter of the tin on the picture = ? Height of the tin on the picture = ? Actual weight of coffee = 750 g 1.1 Measure the diameter of the tin in mm and write down the real diameter in mm (3)
Answers
The diameter and height in the picture are 2/5D and 2/5H, respectively
How to determine the diameter and height in the pictureFrom the question, we have the following parameters that can be used in our computation:
Container = 2/5 smaller than in reality
This means that
Scale factor = 2/5
So, we have
Diameter = 2/5D where D = diameter in reality
Also, we have
Height = 2/5H where H = height in reality
Hence, the height in picture is 2/5H
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dose anyone know this i have know idea what it is ??
Answers
Answer:
212.5ft^2
Step-by-step explanation:
First, go ahead and find the area of the total square. To do this, multiply the length by the height (15*15) to get 225. This is not our final answer, but it will help us solve the problem later.
Next, we need to find the area of the lower-left triangle that is cut off. To do this, we will find the side lengths of just that section. Because the left side of the square and the right side are the same total length, we can just subtract 10 from 15 to get a length of 5.
Now, to find the area of the triangle we will use b*h/2:
5*5/2=12.5
All that's left is to subtract this area from the initial area (225) to get our final answer of 212.5ft^2.
Consider that over 3.8 inches of rain fell in Lansing, Michigan on Monday, August 11th, 2016 from 11 AM to 2 PM. News reporters want to know if that sets the record for the city. In 1905, a record 1.2 inches of rain fell each hour for 3 hours. Which is the greater rainfall? please hurry
Answers
Answer:
lansing Michigan has more rain
Step-by-step explanation:
(a) determine The area under the standard normal curve that lies between Z= -1.83 and Z= 0 is
Answers
As a result, there is roughly 0.4664 of an area under the standard normal curve between Z= -1.83 and Z= 0.
what is area ?Area is the overall space occupied by a three-dimensional object's surface. Square units like square meters or square feet are used to quantify it. By adding up the areas of all an item's faces or surfaces, the surface area of the object can be calculated. For instance, since a cube has six faces, the surface area of a cube can be determined by finding the area of one face and multiplying it by six. Similar to this, one can determine the surface area of a sphere by calculating the area of its surface using the formula 4r2, where r is the sphere's radius.
given
To determine the region under the standard normal curve between Z=-1.83 and Z=0, we can use a standard normal chart or a calculator.
Using a normalised standard table:
Z=-1.83 corresponds to a region of 0.0336. (from the table).
The region is 0.5 to the west of Z= 0. (from the table).
Therefore, 0.5 - 0.0336 = 0.4664 is the region between Z= -1.83 and Z= 0.
Calculator usage
Calculator's normalcdf algorithm can be used to determine the region between Z=-1.83 and Z=0. We calculate normalcdf(-1.83, 0) = 0.4664 using the tool.
As a result, there is roughly 0.4664 of an area under the standard normal curve between Z= -1.83 and Z= 0.
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