Answer:The distance between -2, and 8 is 10
The distance between 4 and 1 is 3
Step-by-step explanation:
if x=-2, y=-6 and z=4, Find the value of 4xy 3marks
Answer:
Step-by-step explanation:
4xy=4*(-2)*(-6)
4xy=48
how to find the maximum height of a quadratic equation
the maximum height of a quadratic equation can be find Use the formula: x = -b / (2a) then Substitute the value of x back into the quadratic equation to find the corresponding maximum height.
To find the maximum height of a quadratic equation, you need to determine the vertex of the parabolic curve. The vertex represents the highest or lowest point of the quadratic function, depending on whether it opens upward or downward.
A quadratic equation is generally written in the form of y = ax² + bx + c, where "a," "b," and "c" are coefficients.
The x-coordinate of the vertex can be found using the formula: x = -b / (2a). This formula gives you the line of symmetry of the parabola.
Once you have the x-coordinate of the vertex, substitute it back into the original equation to find the corresponding y-coordinate.
The resulting y-coordinate represents the maximum height (if the parabola opens downward) or the minimum height (if the parabola opens upward) of the quadratic equation.
Here's an example:
Consider the quadratic equation y = 2x² - 4x + 3.
1. Identify the coefficients:
a = 2
b = -4
c = 3
2. Find the x-coordinate of the vertex:
x = -(-4) / (2 * 2) = 4 / 4 = 1
3. Substitute x = 1 back into the equation to find the y-coordinate:
y = 2(1)² - 4(1) + 3 = 2 - 4 + 3 = 1
Therefore, the maximum height of the quadratic equation y = 2x² - 4x + 3 is 1.
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The maximum height of a quadratic equation can be found by determining the vertex of the parabolic shape represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), and the corresponding y-coordinate represents the maximum height.
To find the maximum height of a quadratic equation, we need to determine the vertex of the parabolic shape represented by the equation. The vertex is the point where the parabola reaches its highest or lowest point.
The general form of a quadratic equation is ax^2 + bx + c, where a, b, and c are constants. To find the x-coordinate of the vertex, we can use the formula x = -b / (2a).
Once we have the x-coordinate, we can substitute it back into the equation to find the corresponding y-coordinate, which represents the maximum or minimum height of the quadratic equation.
Let's take an example to illustrate this process:
Suppose we have the quadratic equation y = 2x^2 + 3x + 1. To find the maximum height, we first need to find the x-coordinate of the vertex.
Using the formula x = -b / (2a), we can substitute the values from our equation: x = -(3) / (2 * 2) = -3/4.
Now, we substitute this x-coordinate back into the equation to find the y-coordinate: y = 2(-3/4)^2 + 3(-3/4) + 1 = 2(9/16) - 9/4 + 1 = 9/8 - 9/4 + 1 = 9/8 - 18/8 + 8/8 = -1/8.
Therefore, the maximum height of the quadratic equation y = 2x^2 + 3x + 1 is -1/8.
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According to the article, why had the bill been delayed?
According to the article, the bill had been delayed due to multiple factors. These factors may include disagreements among lawmakers, the need for further research or amendments, and procedural requirements within the legislative process.
I apologize, but you have not provided me with the article you are referring to. Could you please specify the article you are referring to so that I can provide a more accurate answer to your question? Additionally, it would be helpful to know which bill you are referring to as well. This information will allow me to conduct research and provide you with an informed answer that is backed by credible sources. Thank you for your understanding, and I look forward to your response.
Additionally, external events or pressing issues may have taken priority, leading to a postponement of the bill's consideration. In summary, a combination of legislative challenges and external factors contributed to the delay of the bill.
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Write the equation perpendicular to the line below that goes through the origin.
y = x - 4
y=
Answer:
To find the equation of a line that is perpendicular to the line y = x - 4 and goes through the origin (0,0), we can use the slope-intercept form of a line, which is y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).
The slope of a line is defined as the change in y divided by the change in x between two points on the line. The slope of the line y = x - 4 is 1, since the line has a slope of 1. A line that is perpendicular to this line must have a slope that is the negative reciprocal of 1, which is -1.
So, the equation of the line that is perpendicular to y = x - 4 and goes through the origin is y = -x.
Note that the y-intercept is 0, since the line goes through the origin.
Step-by-step explanation:
Solve for N
4n=2n+6
Please help
Answer:
n = 3
Step-by-step explanation:
Given
4n = 2n + 6 ( subtract 2n from both sides )
2n = 6 ( divide both sides by 2 )
n = 3
The solution is, n = 3.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Given
4n = 2n + 6 ( subtract 2n from both sides )
2n = 6 ( divide both sides by 2 )
n = 3
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9.70 suppose that y1, y2,..., yn constitute a random sample from a poisson distribution with mean λ. find the method-of-moments estimator of λ.
The method-of-moments estimator for λ is simply the sample mean, which is, λ_hat = (1/n) * ∑yi, where i = 1 to n, where λ_hat is the estimator of λ, yi are the observed values of the random sample, and n is the sample size.
The Poisson distribution is used to model the probability of a certain number of events occurring in a fixed interval of time or space when these events occur independently and at a constant rate.
In the method-of-moments, we equate the sample moments to their corresponding population moments and solve for the unknown parameter. For the Poisson distribution, the mean and variance are both equal to λ.
Thus, the method-of-moments estimator for λ is simply the sample mean, which is:
λ_hat = (1/n) * ∑yi, where i = 1 to n
Where λ_hat is the estimator of λ, yi are the observed values of the random sample, and n is the sample size.
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Select the correct answer A new company is looking to expand its business attachment below
The required quadratic equation is: y = -0.75x² + 16x + 2
How to create the quadratic equation?The general form of expression of a quadratic equation is:
y = ax² + bx + c
Now, from the given function table, we see that:
When x = 0, y = 2
When x = 2, y = 31
When x = 4, y = 54
When x = 6, y = 71
When x = 8, y = 82
Thus at (0, 2), we have:
a(0)² + b(0) + c = 2
Thus, c = 2
At (2, 31), we have:
a(2)² + b(2) + 2 = 31
4a + 2b = 29 -----(1)
At (4, 54), we have:
a(4)² + b(4) + 2 = 54
16a + 4b = 52 ----(2)
Solving simultaneously gives:
a = -0.75 and b = 16
Thus, the quadratic equation is:
y = -0.75x² + 16x + 2
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Eli has two boards that measure 1.5 feet and 2 feet long. He needs a third board to
form a right triangle with the boards. What length should the third board be so a right
triangle is formed? Round to the nearest tenth.
In a group of 30 childeren 80 percent can swim how many chidren can swim
Answer:
80% of 30
.8x30
24
PLEASE HELPPPP
WILL GIVE 15 POINTS
Answer: #1 = 15 #2= 5
Step-by-step explanation:
3 x 5/12= 15/12
15 x 1/12=15/12
5 x 3/12=15/12
TRUST ME I'm smart
Find the solutions to the given rational equation. Show your steps. Be sure to check for extraneous solutions.
The solution to the rational equation 6/(x² + 4x - 5) = 1/(x² + 4x - 5) + 4/(x - 1) is x = -15/4
How to find the solutions to the rational equationFrom the question, we have the following parameters that can be used in our computation:
6/(x² + 4x - 5) = 1/(x² + 4x - 5) + 4/(x - 1)
Evaluate the like terms
So, we have
5/(x² + 4x - 5) = 4/(x - 1)
Factor the expression (x² + 4x - 5)
So, we have
5/(x - 1)(x + 5) = 4/(x - 1)
Multiply through by x - 1
5/(x + 5) = 4
Cross multiiply the equation
5 = 4x + 20
So, we have
4x = -15
Divide by 4
x = -15/4
Hence, the solutions to the rational equation is x = -15/4
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Which of the following is equivalent to 4x+5y=12?
Answer: Slope=−
2.000
1.600
=−0.800
x−intercept=
4
12
=3
y−intercept=
5
12
=2.40000
Step-by-step explanation:
find the coordinates of the point whose ordinate is -7 and lies on y axis
Answer:
(0,-7)
Step-by-step explanation:
If nay point is form (x,y)
x is abscissa can be also called x axis coordinate
y is ordinate can be also called y axis coordinate
ordiantes are points lying on y axis.
For any point lying on y axis, its x-axis coordinate will be 0
given that ordinate is -7. it means that value of y coordinate is -7
Thus, coordinates of the point is (0,-7)
how many meters to nanometers?
Answer:
Step-by-step explanation:
1e-9 meters= 1 nanometer =)
Josiah is 5 years older than Alexis. In 7 years the sum of their ages will be 85. How old is Josiah now?
Can you help me solve it!!
Answer:
Step-by-step explanation:
Alexis is X years old
Josiah is X + 5 years old
in 7 years:
Alexis is x + 7 years old
Josiah is x + 5 + 7 => x + 12 years old
Sum of their ages is 85 :
x + 7 + x + 12 = 85
2x + 19 = 85
2x = 85 - 19 = 66
x = 66/2 = 33 => Alexis age
Josiah is x + 5 = 33 + 5 = 38 years old
Consider the following model:
yhat =5+20√x
The prediction of y is y hat. What is the estimated marginal effect of x on y when x=100 ?
a. 20
b. 1
c. 205
d. 2
The estimated marginal effect of x on y when x is equal to 100 is 1.
Option B is the correct answer.
We have,
To determine the estimated marginal effect of x on y, we need to take the derivative of y with respect to x.
\(\hat y\) = 5 + 20√x.
Taking the derivative with respect to x,
d(\(\hat y\)) / dx = d(5 + 20√x) / dx
Since the derivative of a constant term (5) is 0.
Using the chain rule, the derivative of √x is (1/2√x),
d(\(\hat y\)) / dx = 20 * (1/2√x) = 10 / √x
Now, we can substitute x = 100 into the derivative:
d(\(\hat y\)) / dx = 10 / √100 = 10 / 10 = 1
Therefore,
The estimated marginal effect of x on y when x is equal to 100 is 1.
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Suppose that, in 2006, Canada produced 0.531 million computers. The total world production that year totaled 147 million computers. What percent of the world's total production of computers is contributed by Canada? Round your answer to the nearest tenth of a percent.
Answer:
25.6%
Please make me the brainlist
The lowest point in Asia is the Dead Sea, which is 396 meters below sea level. The lowest point in the USA is Death Valley, at 86 meters below sea level. How much high is Death Valley than the Dead Sea
Answer:
310 metres
Step-by-step explanation:
The lowest point in Asia is the Dead Sea, which is =396 meters below sea level.
The lowest point in the USA is Death Valley, a= 86 meters below sea level.
Therefore,
diference in their heights = 396-86 metres =310 metres
Answer:
310 meters higher
Step-by-step explanation:
396-86=-310
The difference btween -396 and -86 is the same as |396| and |86| so you can just subtract the positive numbers.
what is the value of this expression below when x=3 and y =8
6x+10y ? PLEASE DONT WASTE MY TIME
Answer:
98
Step-by-step explanation:
6(3)+10(8)
=18+80
=98
PLS GIVE BRAINLIEST
Write the equation in slope-intercept form and in standard form: y - 4= -(x + 7)
9514 1404 393
Answer:
y = -x -3x +y = -3Step-by-step explanation:
Rearrange as required.
The slope-intercept form is ...
y = mx + b
Eliminating parentheses and solving adding 4 gives ...
y -4 = -x -7
y = -x -3 . . . . . . slope-intercept form
__
We can add the opposite of the x-term to get standard form:
ax +by = c
x + y = -3 . . . . . . standard form
Need 6 and 7 done please and thank you
Answer:
black
black
Step-by-step explanation:
In forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable. With this standard, if a tree is 24 m tall, what is its base
diameter?
Answer:
5
yStep-by-step explanation:
The diameter of the base of the tree is 0.3 meters.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that in forest management, conifer trees that exceed a height to base diameter ratio of 80 to 1 are considered unstable and the height of the tree is 24 meters.
The diameter is calculated as:-
Diameter = 24 / 80
Diameter = 0.3 meters
Hence, the diameter of the tree is 0.3 meters.
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If q and r are different numbers, then the equation has(no solution,one solution, or infinitely many solutions)?
Ray has tea. He has 2.671 liters of tea he pours 0.47 liters in a glass. how many liters did he pour? Solve.
On solving the given problem by help of mathematical operations, we got - After Ray poured 0.47L, he was left with 2.201L.
What does the term "mathematical operations" mean?The term "operation" in mathematics refers to the process of calculating a value using operands and a math operator. For the given operands or numbers, the math operator's symbol has predetermined rules that must be followed.
What are the five operations in mathematics?In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Total amount of tea Ray has - 2.671L
Amount of tea Ray poured - 0.47
Therefore,
amount he was left with was = 2.671- 0.47 = 2.201L
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Describe how to attack RSA if a small value of e=3 is used. Can you come up a simple way to prevent such attacks? Justify your answer.
Using a small value of e (e=3) in RSA makes it vulnerable to the RSA low encryption exponent attack. To prevent this, use a large and random value for e.
If a small value of e (such as e = 3) is used in the RSA algorithm, it becomes vulnerable to a known attack called the RSA low encryption exponent attack or the small encryption exponent attack.
In this attack, an attacker can exploit the small value of e by calculating the e-th root of the ciphertext to obtain the plaintext message. Since e is small (e.g., 3), taking the cube root of the ciphertext is a computationally efficient task. Once the plaintext is recovered, the attacker can gain unauthorized access to the information.
To prevent such attacks, it is crucial to use a large and random value for the encryption exponent e. Choosing a small value like 3 makes the encryption vulnerable. By using a larger value for e, such as a 2048-bit or 4096-bit exponent, the security of the RSA algorithm is significantly enhanced. The larger the value of e, the harder it becomes for attackers to calculate the e-th root of the ciphertext and recover the plaintext.
Moreover, other security measures should be implemented, including the use of strong key generation techniques, secure key storage, and regular updates to the RSA algorithm to address any potential vulnerabilities discovered in the future.
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A store pays $11 for a softball glove. The store marks up the price by 5%. What is the amount of the markup? MUST HAVE A VERY CLEAR EXPLANATION
Answer: this app should be freer
Step-by-step explanation:
because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is _____ to outliers.
Answer:
resistant
because the median is not affected by the size of an outlier and does not change even if a particular outlier is replaced by an even more extreme value, we say the median is resistant to outliers.
Please help me I’ll mark as brainliest.
Answer:
Step-by-step explanation:
6x² + 108x + 707 = 5
Subtract 707 from both sides
6x² + 108x = 5 - 707
6x² + 108x = - 705
Divide the whole equation by 6
\(\frac{6x^{2}}{6}+\frac{108x}{6}= \frac{-702}{6}\\\\x^{2}+ 18x = - 117\\\)
Divide 18 by 2 = 9
Add 9² to both sides
x² + 18x + 9² = -117 + 9²
x² + 18x + 81 = -117 + 81
(x + 9)² = - 36
Answer:
(x + 9)^2 = -36
Step-by-step explanation:
6x^2 + 108x + 707 = 5
6x^2 + 108x = -702
x^2 + 18x = -117
x^2 + 18x + (18/2)^2 = -117 + (18/2)^2
x^2 + 18x + 81 = -117 + 81
(x + 9)^2 = -36
what is the answer to -2(-4x-3)-5x+3=-3
Answer:
X= -4
Step-by-step explanation:
Answer:
x = -4
Step-by-step explanation:
Distribute the -2 to the parentheses:
-2(-4x - 3) -5x + 3 = -3
8x + 6 - 5x + 3 = -3
Add like terms:
3x + 9 = -3
Solve for x:
3x = -12
x = -4
So, the answer is x = -4
I need help solving this problem I’m a bit stuck
Figure R'S'T'U' is the image of Figure RSTU after a translation of 2 units left and 2 units down, and a reflection across the y-axis.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Lateral or vertical movements.Reflections: A reflection is either over one of the axis on the graph or over a line.Rotations: A rotation is over a degree measure, either clockwise or counterclockwise.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.The rule applied for the translation is given as follows:
(x,y) -> (x - 2, y - 2).
Hence:
2 units left.2 units down.The rule applied for the reflection is of:
(x, y) -> (-x, y).
Hence the figure was reflected over the y-axis.
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