The equation of the line that passes through the points (17,10) and (8,10) is y = 10.
What is slope?Slope is a measure of the steepness of a line or a linear function. It is often represented by the letter "m" and is calculated as the ratio of the change in the y-coordinates of two points divided by the change in the x-coordinates of those same two points. In other words, it is the ratio of the "rise" to the "run" of the line. The slope of a line can be positive, negative, zero, or undefined.
What is slope intercept form?The slope-intercept form of a linear equation is a way to represent the equation of a line in the form of y = mx + b, where m is the slope and b is the y-intercept of the line. The y-intercept is the point where the line crosses the y-axis, and it is represented by the value of b. This form of the equation is useful because it allows us to easily identify the slope and y-intercept of a line, as well as to graph the line using these values.
Calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the slope is:
m = (10 - 10) / (8 - 17) = 0
Use the point-slope form of the equation, y - y1 = m(x - x1)
In this case, the point slope form is:
y - 10 = 0(x - 17)
Simplify the above equation, we get:
y = 10
The equation of the line in slope-intercept form is:
y = 10
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Which equation represent the rule
Answer:
y = 3x -8
Step-by-step explanation:
8 times less means something will have to be (-8)
3 times the value of x is equal to (3x)
by looking at the answers we can deduct that our answer in fact is y = 3x -8
which of the following would be examples of statistics? select all that apply. (check all that apply)
Answer:
0 votes
Step-by-step explanation:
In matrix C, what is the value of c34 +c51
In matrix C value of c34 + c51 = 3 + 9 = 12
What is matrix?A matrix is a rectangular or square arrangement of numerical terms where the terms are arranged into rows and columns. Depending on the size of rows and columns, matrix are various types such as square, rectangular, upper triangular, lower triangular and so on.
What is the value of c34+ c51?
we are given a 5 × 5 matrix square matrix that means number of rows and number of columns is both 5.
the matrix is denoted by C.
C = 2 9 5 7 5
4 2 4 4 3
3 8 2 3 8
2 3 4 8 2
9 7 7 3 1
we know the formula for identify the elements of a matrix is given by
a₁₁ a₁₂ a₁₃ a₁₄ a₁₅
a₂₁ a₂₂ a₃ a₂₄ a₂₅
a₃₁ a₃₂ a₃₃ a₃₄ a₃₅
a₄₁ a₄₂₂ a₄₃ a₄₄ a₄₅
a₅₁ a₅₂ a₅₃ a₅₄ a₅₅
The above is a 5 x 5 square matrix in where the elements are identified by a.
If we compare the two matrices, we can determine that c34 is 3 and c51 is 9.
Therefore, c34 + c51 = 3+9 =12
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Find the length of an arc on a circle of radius 7 corresponding to an angle of 45∘.
Arc length =
Give an exact answer as a fraction, not a decimal approximation.
The length of the arc is 5½ units
What is length of an arc?The length of an arc is the distance covered at a particular angle on the circumference of a circle.
A circumference is the external body of a circle. it is also called the perimeter of a circle
Length of an arc is given as :
l = 2 π r × (θ/360°)
where θ = angle subtended
therefore l = 45/360 × 2 × 22/7 ×7
dividing through by 45
= 1/8× 2 × 22/7 ×7
dividing through by 7
= 1/8 × 2 × 22
= 44/8
dividing through by 4
= 11/2
therefore l = 5 ½ units
This means that the length of the arc is 5 ½ unit
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Cuando se calcula la potencia de un producto, que sucede con el exponente en los factores del producto, se.
Según el álgebra de números reales, la potencia del producto es el producto de las potencias.
¿Cómo determinar la potencia de un producto de dos números reales?
De acuerdo con la pregunta, tenemos el caso del producto de dos números reales a, b elevados a un potencia n, cuya descripción matemática se presenta a continuación:
(a · b)ⁿ
De acuerdo con el álgebra de números reales, este caso tiene la siguiente equivalencia:
(a · b)ⁿ = aⁿ · bⁿ
De modo, pues, que la potencia de un producto de dos números reales es igual al producto de las potencias de los números reales.
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A vet tech uses ½ oz, ¾ oz, and 5/8 oz of solution to perform three urinary
analysis tests. How much total solution does she use?
Answer:[tex]\frac{15}{8}[/tex] or [tex]2 \frac{7}{8}[/tex]
Step-by-step explanation:
Adding,
[tex]\frac{1}{2}+\frac{3}{4}+\frac{5}{8} =\frac{4+6+5}{8} =\frac{15}{8}[/tex][tex]=2\frac{7}{8}[/tex]
The revenue of a certain company increased by 10% in the first quarter, decreased by 6% in the second quarter, decreased by 12% in the third quarter, and increased by 11% in the fourth quarter.
Did revenue increase or decrease overall?
It increased
It decreased
What is the average rate of growth or decline? Enter your answer as a positive number in percent form, rounded to one decimal places.
The company overall revenue net percentage change is increased by 89.2%.
What is net percentage change?
Two or more percentage changes applied to a quantity consecutively are covered by the idea of successive percentage changes. As the base changes after the first adjustment, the total change in this instance is not simply the addition of the two percentage changes.
If a number N changes by x% and then y%, what will the net percentage change is [tex]x+y+\frac{xy}{100}[/tex] %.
Now in first quarter = 10% increase
In second quarter = 6% decrease
In third quarter = 12% decrease
In fourth quarter = 11% increase.
Now over all percentage change is ,
=> [tex]10-6-12+11+\frac{10.6.12.11}{100}[/tex]
=> 3+79.2
=> 82.2%
Hence the company revenue is increased by 82.2%.
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Math on the Spot Lena wants
to put the elephant stickers in
an album. She says she will use
more pages if she puts 5 stickers
on a page instead of 10 stickers
on a page. Is she correct?
Explain.
Lena is not correct in her statement that she will use more pages if she puts 5 stickers on a page instead of 10 stickers on a page.
Is it true that if you put 8 stickers on a page instead of 4, you will use less pages?
Yes, it is true that if you put 8 stickers on a page instead of 4, you will use less pages. The total number of stickers divided by the number of stickers per page determines the number of pages needed. In general, the more stickers per page, the less pages will be needed to hold the same number of stickers.
If Lena puts 10 stickers on a page, she will need fewer pages than if she puts 5 stickers on a page.
For example, if she has 50 elephant stickers, she would need 5 pages if she put 10 stickers on a page, but she would need 10 pages if she put 5 stickers on a page.
This is because the total number of stickers divided by the number of stickers per page determines the number of pages needed. In general, the fewer stickers per page, the more pages will be needed to hold the same number of stickers.
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Watch the sign of the cosine function when using the cosign law. Cos 120 degrees for example, is in the second quadrant and therefore
Cos 120 is in the second quadrant and therefore is a negative signed value
What are quadrants in trigonometry?
A plane is divided into four sections, or quadrants, by an x-axis and a y-axis in a rectangular coordinate system. The letter O stands for the origin, which is the place where the two axes converge.
In the first quadrant, there are angles between 0 and 90.
In the second quadrant, there are angles between 90 and 180.
In the third quadrant, there are angles between 180 and 270.
In the fourth quadrant, there are angles between 270 and 360.
Cos is only positive in the first quadrant and in the 4th quadrant and always negative in the second and third quadrant
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solve to find solutions no solution or infinte solution
6n+7+-2n+-14=5n+1
The given expression has one solution which is n = -8.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given expression is,
6n + 7 + -2n + -14 = 5n + 1
Doing the operations of like terms,
6n - 2n + 7 - 14 = 5n + 1
4n - 7 = 5n + 1
Again grouping with like terms,
4n - 5n = 1 + 7
-n = 8
n = -8
Hence the given expression has solution n = -8.
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Answer:
n = -8
Step-by-step explanation:
6n+7+ -2n + -14=5n +1
=6n -2n -5n =1 -7 +14
=-n = 8
=-n/-1 = 8/-1
=n = -8
Hence the value for n is -8.
5
432-
1
--5-4-3-2-1 1
ENTY
-2
-3-
-4
Mark this and return
23
45x
Which function is represented by the graph?
Of(x)=-x-31 +4
Of(x) = -x + 3) +4
O f(x) = -x-41+3
Of(x) = -x +41 +3
Save and Exit
Next
4
27
Submit
On solving the provided question, we can say that the value of the equation here is f(2) = -29 and f(3) = -41
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation here is
f(x)=-x-31 +4
f(2) = -29
f(x) = -x-41+3
f(3) = -41
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easy please help area of a trapezoid using decomposition
The area of the trapezoid is calculated as: D. 90 square units.
How to Find the Area of a Trapezoid By Decomposing?To find the area of the trapezoid that is shown in the image above, we can decompose the trapezoid into three shapes which are one rectangle and two identical triangles.
Area of triangle = 0.5 * base * height
Area of rectangle = length * width.
Given the following:
x = 8 units
y = 2 units
h = 9 units
Area of the 2 triangles = 2(0.5 * y * h) = 2(0.5 * 2 * 9) = 18 units²
Area of rectangle = x * h = 8 * 9 = 72 units²
Area of trapezoid = 18 + 72 = 90 units²
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Kathy is making party trays. yesterday she made 1 small tray and 4 large trays with 166 total pieces of fruit. today she made 4 small trays and 4 large trays with 232 pieces of fruit. how many pieces of fruit are on each size tray?
Answer:
We can start solving the problem by using a system of equations. Let x be the number of pieces of fruit on a small tray, and y be the number of pieces of fruit on a large tray.
From the information given, we know that:
Yesterday: x + 4y = 166 (1)
Today: 4x + 4y = 232 (2)
We have two equations and two unknowns, so we can use substitution to solve for one variable in terms of the other, and then substitute that back into the other equation.
From equation (1) we can solve for x:
x = 166 - 4y
Now we can substitute this into equation (2)
4(166 - 4y) + 4y = 232
Simplifying and solving for y:
-672 + 16y = 232
16y = 904
y = 56.5
This means that each large tray has 56.5 pieces of fruit.
Now we can substitute this value back into the first equation:
x + 4(56.5) = 166
x = 166 - 226
x = -60
This solution doesn't make sense, because the number of pieces of fruit can't be negative. This means that there is no solution to the system of equations, and it is impossible to determine the number of pieces of fruit on each size tray based on the information given.
Step-by-step explanation:
Which statement about the slope of the line is true? a It is fraction 1 over 6 throughout the line. b It is 6 throughout the line. c The slope from point O to point A is fraction 1 over 6 times the slope of the line from point A to point B. d The slope from point O to point A is six times the slope of the line from point A to point B.
The slope of the given line that passes through (4, 2) and (6, 3) is m = 1/2.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given are the statements regarding the slope of the line as given.
The line passes through the points -
(4, 2) and (6, 3)
The slope of the line will be -
m = (3 - 2)/(6 - 4)
m = 1/2
Therefore, the slope of the given line that passes through (4, 2) and (6, 3) is m = 1/2.
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What is the perimeter of the figure?
A. 65 in.
B. 140 in.
C. 64 in.
D. 180 in.
D
ok is the force that I have to go in and out for the June exam and the Zumba
can you help me find x and y
please and thank you!!!
and if you could explain that will be appreciated! :D
4x + y = 42 => y = 42 - 4x
3x - 2y = 26 => 3x - 2×(42 - 4x) = 26 => 3x - 84 + 8x = 26
=> 11x - 84 = 26 => 11x = 110 => x=10
y = 42 - 4x => y = 42 -4×10 => y= 42 - 40 => y= 2
Answer:
[tex]x = 10[/tex] and [tex]y = 2[/tex]
Step-by-step explanation:
That appears to be a parallelogram, so we can make the assumption that one side of the shape is equal to the side opposite to it because they are parallel lines.
With that assumption, we can set-up the equations, namely
[tex]42 = 4x+y[/tex] (eq. 1)
[tex]26 = 3x-2y[/tex] (eq. 2)
We can solve for x and y either through substitution or elimination, and it seems like elimination could be a faster way to do it.
Multiply eq. 1 by 2 and add it to eq. 2
[tex]84 = 8x+2y\\26 = 3x-2y[/tex]
-> [tex]110 = 11x[/tex]
[tex]x = 10[/tex]
And then we can substitute it back to any equation, and the result will be
[tex]y = 2[/tex].
Find the value of each expression
0.5 exponent 4 + 1
Answer:
5
Step-by-step explanation:
adde it all upa and get the answer
An industrial cleaning solution calls for 5 parts water to 2 parts concentrated cleaner. If a worker uses 15 more quarts of water than concentrated cleaner to make a solution.
A how much concentrated cleaner did she use ?
B how much water did she use ?
C how much solution did she make ?
Answer: A. To find out how much concentrated cleaner the worker used, we can set up the equation: x + 15 = 5x/2, where x is the amount of concentrated cleaner used in quarts. Solving for x, we find that the worker used 15 quarts of concentrated cleaner.
B. Since we know that the worker used 15 more quarts of water than concentrated cleaner, we can find out how much water she used by adding 15 quarts to the amount of concentrated cleaner used. In this case, the worker used 15 quarts + 15 quarts = 30 quarts of water.
C. To find out how much solution the worker made, we add the amount of concentrated cleaner used and the amount of water used. In this case, the worker made 15 quarts + 30 quarts = 45 quarts of solution.
Step-by-step explanation:
A large hospital has an average of 7 fatalities in a week. Using the Poisson model, what is the probability that this week it has 7fatalities? The probability that the hospital has 7 fatalities this week is
The probability that the hospital has 7 fatalities this week is approximately 0.0199
The probability that the hospital has 7 fatalities in a week, given an average of 7 fatalities per week, can be calculated using the Poisson distribution. The Poisson distribution is a discrete probability distribution that models the number of events (in this case, fatalities) that occur in a fixed interval of time (in this case, a week) with a certain average rate (in this case, 7 fatalities per week). The probability of k events happening in a given interval of time is given by the following formula:
P(k;λ) = (e^(-λ))*(λ^k)/k!
Where λ is the average number of events per interval of time and k is the number of events we are interested in.
In this case, we are looking for the probability that there are 7 fatalities this week, given that the average number of fatalities per week is 7. So we can plug in the values into the equation:
P(7;7) = (e^(-7))(7^7)/7! =0.149
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Graph the line with slope - 1 passing through the point (4, 3).
Answer: y = -x+7
Step-by-step explanation:
Let's first set up it in slope-intercept form.
y = -x+b
We can find b using point (4,3).
Substitute 4 for x and 3 for y to get:
-3 + b = 4
b = 7
Therefore, the line is y = -x+7
Use properties to evaluate (+)(-10).
OA. 2
OB. -2
C. 5
OD. -5
Which statement is only true for the t-test for dependent means rather than t-tests in general?
a)population variances are estimated from the information in the sample of scores actually studied
b)pretest
Pretest-posttest experimental designs are common is true for the t-test for dependent means rather than t-tests in general.
The correct answer is option B.
The use of pretest-posttest designs extends the posttest alone design with nonequivalent groups, one of the most fundamental methods for assessing the effectiveness of an intervention. One group in this two-group design undergoes therapy, and the final results are produced for the other group.
In conclusion, quasi-experimental design has long been a popular research methodology. An intervention that has been delivered to a group of study participants may be easily evaluated using pre-test and post-test designs, a sort of quasi-experimental research. A pretest is an assessment tool used by study participants before they get any form of therapy. Participants in a study are given a posttest, which is an evaluation tool, following their participation in the study.
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Please help me! Thank you so much!
The mean of the numbers, given the stem and leaf plot of the number of classrooms in each school in the city, is 84 classrooms
How to find the mean ?To find the mean of the schools, you first need to add up the number of classrooms in each school and then divided this sum by the number of schools that Evelyn used in the social studies project.
When using a stem and leaf plot in this instance, the stem is the tens figure and the leaf is the ones figure.
This means that a stem of 7 and lead of 7 means 77 classes.
The sum of the number of classrooms is therefore :
= 77 + 77 + 81 + 81 + 82 + 82 + 83 + 84 + 84 + 85 + 85 + 87 + 90 + 90 + 92
= 1, 260 classrooms
The mean is therefore :
= 1, 260 / 15 schools
= 84 classrooms
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Evaluate the expression when n=-3. n^2-9n-6
Answer: 30
Step-by-step explanation:
n= -3
-3^2 = 9
9(-3) = -27
9-(-27)-6 = 30
Aella Iniko and Loki played a game. Aella scored 2/5 of the points, and Loki scored 1/3 of the point. What part of the points did Iniko score?
The part of the points that Iniko score will be 4/15.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
In this case, Aella Iniko and Loki played a game. Aella scored 2/5 of the points, and Loki scored 1/3 of the point.
The part of the points that Iniko score will be
= 1 - (1/3 + 2/5)
= 1 - (5/15 + 6/15)
= 1 - 11/15
= 4/15
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DUE SOON! PLEASE HELP!
The evaluation of the functions in the question are as follows;
1. a) [tex]y = \dfrac{1}{x^2+5} -3[/tex]is not a quadratic function
b) The function is a quadratic function
c) The function is a quadratic function
d) The function is a quadratic function
2. Please find attached the graph of the function, y = -2·(x + 3)² + 4, created (for clarity) with MS Excel
a) The axis of symmetry is; x = -3
b) The maximum value is; (-3, 4)
c) The x-intercepts are; √2 - 3, and -√2 + 3
d) y-intercept is (0, -14)
e) The domain is the set of all real numbers
The range is (-∞, 4]
What is a function?A function is a rule that maps an input value unto an output, such that each input has exactly one output.
A quadratic function is a function of the form; y = a·x² + b·x + c
a) The function [tex]y = \dfrac{1}{x^2+5} -3[/tex], when simplified, we get;
[tex]y = \dfrac{1 - 3\cdot x^2 - 15}{x^2+5}[/tex], which is a rational polynomial.
Therefore, the function is not a quadratic function.
b) x² = y - 1
y = x² + 1
The above function is in the form; y = a·x² + b·x + c, where;
a = 1, b = 0, c = 1
c) y = 3·x - 7 + 4·x²
The above function is in the form y = a·x² + b·x + c, where;
a = 4, b = 3, and c = -7
d) The function y = 6·x - 3·√x can be expressed as; √x = z
Therefore; z² = x
Therefore; y = 6·x - 3·√x = 6·z² - 3·z
y = 6·z² - 3·z
The above function is a quadratic function, therefore, the function;
y = 6·x - 3·√3 is a quadratic function
2. The function y = -2·(x + 3)² + 4 is in the vertex form of the equation of a quadratic equation; y = a·(x - h)² + k
Where;
a = The leading coefficient
(h, k) = The coordinates of the vertex
Comparing the values, we get;
The vertex, (h, k) = (-3, 4)
a = -2
When x = 0, we get; y = -2·(0 + 3)² + 4 = -2 × 9 + 4 = -14
With a vertex of (-3, 4), we get;
When x = -6, y = -14
The graph can be obtained by drawing a parabola with vertex at (-3, 4), and passing through the points (0, -14), and (-6, -14)
Please find attached the graph of the function y = -2·(x + 3)² + 4, created with the points (0, -14), (-6, -14), and vertex point (-3, 4), created with MS Excel
a) The axis of symmetry is the line about which the graph is symmetrical
The axis of symmetry is the line x = -3
b) The maximum value is the vertex of the graph, which is the point (-3, 4)
c) The x-intercept are the point the graph intersects the x-axis, which are obtained by plugging in y = 0, as follows;
y = 0 = -2·(x + 3)² + 4
(x + 3)² = -4/(-2) = 2
x + 3 = ±√(2)
x = ±√(2) - 3
The x-intercepts are; x = √2 - 3, and -√2 - 3
d) The y-intercepts are the point the graph intersects the y-axis, which is the point where x = 0
Therefore, the y-intercept is the point (0, -14)
e) The domain is the set of possible input values or x-values
The domain of the function, as presented in the graph is the set of all real numbers
The domain is; (-∞, ∞)
The range is the set of the possible y-values
The graph of the function indicates that the maximum y-value is the point y = 4
Therefore, the range of the function is; -∞ < y ≤ 4, which is (-∞, 4]
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When graphing a linear function in slope intercept form, why do you have to plot the y-intercept first? Why car't you use the slope first? Math
Answer: Because the slope doesn't tell you any actual points on the line. It only tells you whether the line tilts up or down, and how steeply.
Step-by-step explanation:
Use the properties of exponents to simplify the expression.
(y3/2 x -1/2)^4
The properties of exponents used to simplify the expression are:
(a^m)^n = a^(m*n)
(a^m)^n = (a^n)^m
(a*b)^n = a^n * b^n
(a/b)^n = a^n / b^n
Using these properties, we can simplify the expression as follows:
(y3/2 x -1/2)^4
= (y^3/2 * x^-1/2)^4
= y^3/2 4 * x^-1/2 4
= y^(3/24) * x^(-1/24)
= y^6 * x^-2
So the simplified expression is: y^6 * x^-2
Xochitl went into a movie theater and bought 6 bags of popcorn and 4 drinks, costing a total of $65. Alonso went into the same movie theater and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50. Determine the price of each bag of popcorn and the price of each drink.
The price of each bag of popcorn and the price of each drink is $7.5 and $4 respectively.
How to calculate the equation?Let the drinks be represented as d.
Let the popcorn be represented as p.
From the information, Xochitl went into a movie theater and bought 6 bags of popcorn and 4 drinks, costing a total of $65. Thus will be:
6p + 4d = 65
Alonso went into the same movie theater and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50. This will be:
9p + 8d = 107.50
Equating the equation
6p + 4d = 65 ..... i
9p + 8d = 107.50 ..... ii
Multiply equation i by 8
Multiply equation ii by 4
48p + 32d = 520
36p + 32d = 430
12p = 90
Divide
p = 90/12
= 7.5
6p + 4d = 65 .
6(7.5) + 4d = 65
4d = 65 - 45
4d = 20
d = 20/4 = 5
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Please help asap giving 50 points for it!!!
The system of inequalities which can be used to determine the number of dogs, d, and the number of cats, c, Nadia can house in the facility on any given day is:
A. 3.45c + 4.60d ≤ 200.
c + d ≤ 50.
How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of dogs and number of cats respectively, and then translate the word problem into algebraic equation as follows:
Let the variable c represent the number of cats.Let the variable d represent the number of dogs.Since the daily cost for her facility to house a cat is $3.45 and $4.60 for a dog, with a budget of $200, a linear inequality which represents this situation is given by;
3.45c + 4.60d ≤ 200.
Additionally, the facility has a total of 50 pens;
c + d ≤ 50.
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