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-3
If you don’t understand rise over run, rise is vertical so going up or down and run is horizontal going left or right. Choose two random points that have both x and y as whole numbers. From the most left point going to the most right point, count the whole numbers in between to get to the right point.
Ex: (0,3) & (1,0). Vertically * going | , which is basically the y* 3 to 0 is subtracting 3 so -3 will be the numerator. Horizontally * going _ , which is the x) 0 going to 1 is adding 1 so 1 will be the denominator. -3/1 is -3
Another way to find slope is take two points and do y2-y1/x2-x1 Where you plug in the (x,y)
Ex: (0,3) & (1,0) 0-3/1-0 = -3/1 = -3
:)))
Related Questions
PLEASE HELP PLEASE PLEASE HELP
Answers
Answer:
5x10x9 Is the correct answer meaning that the answer is 450
Brainliest would be very appriciated
Step-by-step explanation:
EDIT: my bad i read the question wrong, the answer is D:450
sorry for any confusion ;^;
not sure what the icon is there for
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Area and perimeter assignment. (9th Grade geometry)
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Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
Explain about the perimeter:A path that encircles a region is referred to as a perimeter. Adding the lengths of every one of the sides together is the simplest formula for calculating the perimeter. The word circumference, that only encompasses a circle's perimeter, is used to describe the distance around a circle.
Given that:
coordinates of triangle: A(5,3) , B(1,5) and C(3,0)Perimeter = sum of all sides
Perimeter = AB + BC + CA
Estimate each distance using the distance formula:
d = √(x2 - x1)² + (y2 - y1)²
AB = √(1 - 5)² + (5 - 3)²
AB = √(-4)² + (-2)²
AB = √(16 + 4)
AB = √20
BC = √(3 - 1)² + (0 - 5)²
BC = √(2)² + (-5)²
BC = √(4 + 25)
BC = √29
CA = √(5 - 3)² + (3 - 0)²
CA = √(2)² + (3)²
CA = √(4 + 9)
CA = √13
Perimeter = AB + BC + CA
Perimeter = √20 + √29 + √13
Perimeter = 4.47 + 5.38 + 3.60
Perimeter = 13.45 units.
Thus, the perimeter of the shown triangle using the distance formula is found as 13.45 units.
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What is the missing numerator?
4/6 - ?/8 = 14/48
A.) 05
B.) 04
C.) 03
D.) O2
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Help me please I need help
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Complete the statement.
The polynomial function f(x) = ____.
(x + 2)(x - 2)(x + √3)
(x + 2)(x +√3)(x-√3)
(x - 2)(x + √3)(x-√3)
(x + 2)(x - 2)(x + √3)(x-√3)
Answers
Answer:
B
Step-by-step explanation:
edg 2020
The factorised form of given function f(x) is (x + 2)(x +√3)(x-√3) which is correct answer would be option (B).
What is a polynomial?A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
We have been given the polynomial function:
⇒ x³ + 2x² - 3x -6
Simplify the radical by breaking the radicand up into a product of known factors.
⇒ x³ + 2x² - 3x -6
Add and subtract the second term to the expression and factor by grouping.
⇒ x²(x + 2) - 3(x + 2)
⇒ (x + 2)(x² - 3)
⇒ (x + 2)(x +√3)(x-√3)
Therefore, the factorised form of given function f(x) is (x + 2)(x +√3)(x-√3).
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The question seems to be incomplete the correct question would be
If a polynomial function is x³ + 2x² - 3x -6 find the factorized form which is f(x)
The polynomial function f(x) = ____.
Help please<3 for all questions with solutions plz
Answers
Answer:
a) \(h = -\frac{7}{4}\), b) \(h = f\,\circ\,g (-5) = \frac{3}{2}\), c) \(h = g\,\circ\,f (-2) = \frac{3}{8}\)
Step-by-step explanation:
We proceed to solve each exercise below:
a) \(f(-2) +3\cdot g(0)\)
\(h = \frac{2\cdot (-2)}{3\cdot (-2)+5}+3\cdot \left(\frac{3}{0+4} \right)\)
\(h = \frac{-4}{-6+5} +3\cdot \left(\frac{3}{4} \right)\)
\(h = -4+\frac{9}{4}\)
\(h = \frac{-16+9}{4}\)
\(h = -\frac{7}{4}\)
b) \(h = f\,\circ \,g (-5)\)
\(h = f\,\circ\,g (x) = \frac{\frac{6}{x+4} }{\frac{9}{x+4}+5 }\)
\(h = f\,\circ\,g (x)= \frac{\frac{6}{x+4} }{\frac{9+5\cdot (x+4)}{x+4} }\)
\(h = f\,\circ\,g (x) = \frac{6}{29+5\cdot x}\)
\(h = f\,\circ\,g (-5) = \frac{6}{29+5\cdot (-5)}\)
\(h = f\,\circ\,g (-5) = \frac{3}{2}\)
c) \(h = g\,\circ\,f(-2)\)
\(h = g\,\circ \, f (x) = \frac{3}{\frac{2\cdot x}{3\cdot x + 5} + 4 }\)
\(h = g\,\circ\,f (x) = \frac{3}{\frac{2\cdot x +4\cdot (3\cdot x +5)}{3\cdot x +5 } }\)
\(h = g\,\circ \,f (x) = \frac{3\cdot (3\cdot x +5)}{2\cdot x +12\cdot x +20}\)
\(h = g\,\circ\,f(x) = \frac{9\cdot x +15}{14\cdot x +20}\)
\(h = g\,\circ\,f(-2) = \frac{9\cdot (-2)+15}{14\cdot (-2)+20}\)
\(h = g\,\circ\,f (-2) = \frac{-3}{-8}\)
\(h = g\,\circ\,f (-2) = \frac{3}{8}\)
Consider the following figure:
Answers
Answer:
angle <B = 76
Step-by-step explanation:
The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.
We can write the following equation with this information to find the value of angle <B
<B + 71 = 147 subtract 71 from both sides
<B = 76
If a=2-√5/2+√5 and b=2+√5/2-√5 find (a+b)³
Answers
Step-by-step explanation:
really ? you need help here ... - that means you did not even look at it once ...
a = 2 - sqrt(5)/2 + sqrt(5)
b = 2 + sqrt(5)/2 - sqrt(5)
a + b = 2 + 2 = 4 (the rest add up to 0)
(a+b)³ = 4³ = 64
Answer:
64
Step-by-step explanation:
Given :
a = 2 - √5/2 + √5b = 2 + √5/2 - √5Evaluating (a + b)³ :
(2 - √5/2 + √5 + 2 + √5/2 - √5)³(2 + 2 - √5/2 + √5/2 + √5 - √5)³(4)³64Finding a final amount in a word problem on exponential growt...
An amount of $25,000 is borrowed for 15 years at 5.5% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be
paid back?
Answers
9514 1404 393
Answer:
$55,811.91
Step-by-step explanation:
The amount with interest is given by the formula ...
A = P(1 +r)^t
where r is the annual interest rate and t is the number of years.
A = $25000(1.055^15) ≈ $55,811.91
The amount due at the end of 15 years will be $55,811.91.
math project : I need an interesting project idea for mathematics that can relate 3 different topics, I should write a full research paper related on the topic this are some examples related to the project
You must state a question that you would like to answer. This must be a specific question within your topic and should be explored thoroughly to create a complete paper.
Examples:
(i) How can we use Mathematical/Calculus-based tools to study the spread of COVID-19?
(ii) Designing a new Mathematical/Calculus-based model to analyze the spread of COVID-19
(iii) How many entrances should there be at Expo to accommodate all visitors?
(iv) How much water does the UAE need in order to sustain its ever changing population? (i.e. comparing water usage vs. water production)
Literature review:
You must show using multiple references and sources of the current literature on your given topic. This does NOT imply that information is simply copied from the internet but rather you must present a comprehensive review and summary of the latest research on your topic. It is suggested that you chose a specific aspect of your topic in order to include all required elements.
Examples:
(i) Review of the existing Mathematical/Calculus-based models used to analyze the spread of COVID-19
(ii) Review of existing Mathematical/Calculus-based models and calculations regarding risk insurance.
Answers
Answer:
Here's an interesting project idea for mathematics that can relate three different topics:
Topic 1: Fractals
Topic 2: Chaos Theory
Topic 3: Differential Equations
Research Question: Can fractals be used to model chaotic systems described by differential equations?
In this project, you can explore the concept of fractals and their applications in modeling complex systems. You can also delve into chaos theory and differential equations to understand how they are used to describe chaotic systems. By combining these three topics, you can investigate whether fractals can provide a better understanding of chaotic systems by modeling them more accurately.
Your research paper can cover the following areas:
Introduction: Provide an overview of fractals, chaos theory, and differential equations, and explain their relevance to the research question.
Fractals: Discuss the properties of fractals and how they can be used to model complex systems. Provide examples of fractals in nature and technology.
Chaos Theory: Explain the concept of chaos and how it is described by differential equations. Discuss the importance of chaos theory in understanding complex systems.
Differential Equations: Provide an overview of differential equations and their applications in physics, engineering, and other fields. Explain how differential equations are used to model chaotic systems.
Combining the three topics: Explain how fractals can be used to model chaotic systems described by differential equations. Provide examples of fractals used in modeling chaotic systems and compare the results to traditional methods.
Conclusion: Summarize the findings of your research and discuss the implications of using fractals to model chaotic systems.
Overall, this project can be a challenging and rewarding exploration of the interplay between three different mathematical topics.
Step-by-step explanation:
You are one of ten people in a swim race. Prizes are awarded to swimmers who finish in first, second, and third places only. Determine the total number of different ways in which the 10 swimmers can achieve 1st, 2nd, or 3rdplace?
Answers
The total number of different ways in which the 10 swimmers can achieve 1st, 2nd, or 3rd place is 720 ways.
Given that:
There are one of ten people in a swimming race. Prizes are awarded to swimmers who finish in first, second, and third places only.
Let's assume that there is A to J swimmers counted as 10 in number.
Then A comes in first, or B comes in first, or ... or J comes in first. So, there are 10 possibilities that any swimmers can come in the first place.
For second place, it can't be the swimmers that arrived first, but it could be any of the remaining 9 swimmers.
For third place, it can't be the first or second swimmers but there are 8 others and one of them will be the third.
Using permutation we can find the total number of different ways in which the 10 swimmers can achieve 1st, 2nd, or 3rd place, because the order of places matters.
The permutation is considered an ordered combination. Objects are arranged from last to first in permutations. The general formula for this is:
P(n, r) = n! /(n-r)!
Therefore, the required number of ways is = 10 possible first swimmers x 9 possible 2nd swimmers x 8 possible third swimmers.
The required number of ways = 10 x 9 x 8 = 720 ways.
Hence, there are 720 ways swimmers can achieve 1st, 2nd, or 3rd place.
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Order the numbers from least to greatest based on their absolute values.
|23|, |−37|, |−6|, |18|, |−24|, |2|
Answers
Answer:
/-37/, /-24/, /-6/, /2/, /18/, /23/
The graph of the function f(x) = (x - 3)(x + 1) is shown.
Ty
-10-8-6
10
8
6
-6
8
-10-
6
10
X
Which describes all of the values for which the graph is
positive and decreasing?
O all real values of x where x < -1
O all real values of x where x < 1
O all real values of x where 1
O all real values of x where x > 3
Answers
Answer:
all real values of x where x < -1
The correct statement is all real values of x where x < -1.
Option A is the correct answer.
We have,
To determine the values for which the graph of the function
f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.
Let's consider the factors individually:
(x - 3): This factor is positive for x > 3 and negative for x < 3.
(x + 1): This factor is positive for x > -1 and negative for x < -1.
To determine the overall sign of the function, we need to consider the signs of both factors together.
When both factors are positive or both factors are negative, the function is positive.
When the factors have opposite signs, the function is negative.
From the above analysis, we can conclude the following:
When x > 3, both factors are positive, so the function is positive.
When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.
When x < -1, both factors are negative, so the function is positive again.
Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).
Thus,
The correct statement is all real values of x where x < -1.
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The perimeter of a rectangle is to be between 140 and 250 inches. Find the range of values for its length ℓ when its width is 25 inches
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Answer:
45 in < l < 100 in
Explanation:
The perimeter of a rectangle is between 140 and 250 inches, so we can write the following inequality
140 < P < 250
The perimeter of a rectangle is also equal to
P = 2l + 2w
Where l is the length and w is the width. If the width is 25 inches, we get:
P = 2l + 2(25)
P = 2l + 50
Now, we can replace this expression on the initial inequality and solve for l as follows
140 < 2l + 50 < 250
140 - 50 < 2l + 50 - 50 < 250 -50
90 < 2l < 200
90/2 < 2l/2 < 200/2
45 < l < 100
Therefore, the answer is
45 in < l < 100 in
3y+2=2y+4
multi-step equations
Answers
Answer:
y = 2
Step-by-step explanation:
This equation can be solved three steps, classifying it as a multi-step equation.
To solve, you need to get the constants on one side and the variables on the other and then isolate the variable. These steps are illustrated below.
3y + 2 = 2y + 4 Subtract 2y from both sides of the equation.
y + 2 = 4 Subtract 2 from both sides of the equation.
y = 2
Sheryl deposited RM 40,000 for 3 years and RM 30,000 for 5 years at the same rate of interest. She receives total interest of RM 13,500. What is the rate of interest?
Answers
The interest rate is given as follows:
5%.
How to obtain the balance using simple interest?The balance of an account after t years, using simple interest, that is, a single compounding per year, is given by the equation presented as follows:
A(t) = P(1 + rt).
In which the parameters of the equation are explained as follows:
P is the value of the initial deposit.r is the interest rate, as a decimal.The interest accrued is given as follows:
I(t) = Prt.
For each case, the interest accrued is given as follows:
40,000 for 3 years: I(3) = 40000 x r x 3 = 120000r.30,000 for 5 years: I(5) = 30000 x r x 5 = 150000r.The total interest was of 13,500, hence:
I(3) + I(5) = 13500.
Meaning that the interest rate is obtained as follows:
120,000r + 150,000r = 13500
r = 13500/270000
r = 0.05.
r = 5%.
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The area of a rectangle is 3x2 - 12x square yards. If the width is 3x yards, what is the length of the rectangle?
Answers
Answer:
x - 4 yards.
Step-by-step explanation:
Given:
Area of rectangle = 3x^2 - 12x square yards
Width = 3x yards
To find:
Length of rectangle
Solution:
The area of a rectangle is equal to the product of its length and width.
Area of rectangle = Length * Width
Substituting the given values, we get:
3x^2 - 12x = Length * 3x
Length =( 3x^2 - 12x )3x
Length = x-4
Therefore, the length of the rectangle is x - 4 yards.
Answer: The length of the rectangle is x - 4 yards.
Step-by-step explanation:
We can create an equation to solve this word problem, where the variable L = length.
3x × L = \(3x^2 - 12x\)
We need to solve for the variable L, to find the length of the rectangle.
First lets factor the right side of the equation to make it easier to divide with.
3x × L = \(3x^2 - 12x\)
We can factor out 3x from the right side of the equation.
3x × L = 3x(x - 4)
Now we need to get the variable L by itself (isolating the variable). In order to do that, we can divide both sides by 3x.
3x × L = 3x(x - 4)
/3x /3x
L = x - 4
The length of the rectangle is x - 4 yards.
Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12
Answers
To see this, you can solve for x in one of the equations and substitute that expression for x in the other equation. For example, if you solve for x in the second equation, you get:
x = 18 + 6y
Substituting this expression for x in the first equation gives:
(18 + 6y) + 6y = -18
24y = -36
y = -1.5
Substituting this value for y back into the expression for x gives:
x = 18 + 6y = 18 + 6(-1.5) = 18 - 9 = 9
So, one solution to the system of equations is (x, y) = (9, -1.5). However, since there is a variable on both sides of the equation, there are infinitely many solutions to this system of equations.
All of the other systems of equations have either no solutions or exactly one solution.
F-Ready
Reasons for Equivalent Linear
Expressions-Instruction-Level G
Brooklyn is buying items to put in gift bags for her sister's graduation party. She needs to
make 12 gift bags in all. She buys n noisemakers to divide among the gift bags. She buys
twice as many stickers as noisemakers.
The expression
n+ 2n
12
represents the
number of items Brooklyn can put in each
gift bag.
What part of the expression represents the
total number of stickers she buys?
12
n+ 2n
n
2n
X
Answers
Answer:
Step-by-step explanation:
What is the Sine of 0?
Answers
Answer:
0
Step-by-step explanation:
Next consider another way of saying exactly the same thing, but by describing the angle itself and the unit circle, not just the triangle. There is no vertical component of the angle: The vertical component of the angle is 0, so, the sine of 0° is 0.
Answer
by describing the angle itself and the unit circle, not just the triangle. There is no vertical component of the angle: The vertical component of the angle is 0, so, the sine of 0° is 0.
Step-by-step explanation:
Help Asap!
Which transformations have been performed on the graph of \(f(x)=\sqrt[3]{x}\)to obtain the graph of \(g(x)-2\sqrt[3]{x}-1\)
Select each correct answer.
translate the graph down
reflect the graph over the x-axis
translate the graph up
translate the graph to the right
compress the graph closer to the x-axis
stretch the graph away from the x-axis
translate the graph to the left
Answers
9514 1404 393
Answer:
translate the graph downreflect the graph over the x-axisstretch the graph away from the x-axisStep-by-step explanation:
We assume your function is intended to be ...
\(g(x)=-2\sqrt[3]{x}-1\)
The coefficient -2 does two things. Because it is negative, it causes the graph to be reflected across the x-axis. Because it is greater than 1, it causes the graph to be stretched away from the x-axis.
The added constant of -1 causes each y-value to be lower than it was, so translates the graph down 1 unit.
dose anybody know the answer me and my friend is betting
Answers
What is the arc measure of PQ?
Answers
Answer:
47.1
Step-by-step explanation:
l= rø
or, l= 18 × 5π/6
or, l= 15π
l = 47.1
Pls help extra points and mark brainlist
Answers
Answer: 48
Step-by-step explanation: SO basically all I did was replace a with 7 then replace b with 8 and replace c with 8 and that got me the equation 7x8-8 which would give you 48. Hope this helps.
Let (-3,-2) be a point on the terminal side of theta. Find the csc(theta)
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The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.
To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.
Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.
The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.
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cho khối trụ r = 4 và h = 3, thể tích của khối trụ bằng bao nhiêu?
Answers
Answer:
12
Step-by-step explanation:
hi vọng điêu nay co ich
A. Write an expression to represent the difference between the two points shown on the number line.
B. Find the distance between the two points. [Hint: Remember that distance is always positive.]
Answers
Part A
distance of point 1 = -1.6
distance of point 2 = 0.3
difference: -1.6 - 0.3 = -1.9
distance: 0.3-(-1.6) = 1.9
The expression that represents the distance between the two points is |0.3 + 1.6| and the distance between the two points is 1.9 units
The expression of the distanceThe points on the line are represented as:
Point 1 = 0.3
Point 2 = -1.6
The distance between the two points is calculated using the following absolute value equation
d = |Point 1 - Point 2|
Substitute the known values
d = |0.3 - -1.6|
This gives
d = |0.3 + 1.6|
Hence, the expression that represents the distance between the two points is |0.3 + 1.6|
Evaluate the expressionIn (a), we have:
d = |0.3 + 1.6|
Evaluate the sum
d = |1.9|
Remove the absolute sign
d = 1.9
Hence, the distance between the two points is 1.9 units
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Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
Answers
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.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 packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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Need answers please help
Answers
Answer
Yes, zero is contained in the interval