To make equivalent rational expressions, we need to multiply the numerator and denominator of the left-hand side of the equation by the same value.
In this case, we can multiply both the numerator and denominator by (5x^(3))/(5x^(3)) to get the equivalent expression on the right-hand side. (3)/(x^(6)) * (5x^(3))/(5x^(3)) = (15x^(3))/(5x^(9))
Therefore, the value that we need to fill in the blank is (15x^(3)). So the equivalent rational expression is:
(3)/(x^(6))=(15x^(3))/(5x^(9))
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18
What can you conclude about data from its equation, y = 3x - 7? Select all that apply.
A- y causes a.
B- The data are correlated.
C- The data are not correlated.
D- You cannot determine if there is causation between x and y.
The linear equation y = 3x - 7 has a data that is correlated because it has a linear relationship and we cannot determine if there's a causation between x and y
What does the linear equation represent?A. y causes a. is not applicable in this case, as there is no variable named "a" in the equation.
B. The equation y = 3x - 7 represents a linear relationship between two variables, x and y. As the equation has a slope of 3, it indicates that as the value of x increases by 1, the value of y increases by 3. Therefore, the data are correlated positively.
C. This is incorrect. As mentioned in B, the equation represents a linear relationship between two variables, x and y, which are positively correlated.
D. This is correct. Although the equation represents a linear relationship between x and y, it does not imply causation. It is possible that x causes y, y causes x, or some other variable or variables may be influencing both x and y. Therefore, we cannot determine if there is causation between x and y based on the equation y = 3x - 7 alone
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After restrictions have been applied to the domain & range, the inverse of a quadratic function is a linear function
No, the inverse of a quadratic function is not a linear function.
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. The graph of a quadratic function is a parabola, which is a curved line.
The inverse of a function is a function that "undoes" the original function. In other words, if f(x) = y, then the inverse function, f^(-1)(x), would be such that f^(-1)(y) = x. The graph of the inverse of a function is a reflection of the original function across the line y = x.
Since the graph of a quadratic function is a parabola, the graph of its inverse would also be a parabola, but reflected across the line y = x. This means that the inverse of a quadratic function is also a quadratic function, not a linear function.
It is important to note that the inverse of a quadratic function may not be a function, as it may not pass the vertical line test. In this case, restrictions would need to be applied to the domain and range in order for the inverse to be a function. However, even with these restrictions, the inverse of a quadratic function would still not be a linear function.
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Advance Functions
1. Create TWO Polynomial Functions with the following conditions:
a. A linear function, h(x), and a degree 4 polynomial function, P(x).
b. The leading coefficient of P(x) can NOT be |1|, the y-intercept of both graphs can NOT be 0. h(x) can not be a horizontal nor vertical line.
c. One of the factors of P(x) must be repeated 2 times, one of the zeros of P(x) must be a fraction. The zeros should have a mix of positive and negative numbers.
d. P(x) and h(x) intersect with each other, and there are at least two points of intersections (POIs), which x-coordinates of those two of the POIs must be integers/fractions. The POIs CAN NOT be on the x-axis.
e) Determine the intervals when ℎ(x)≥P(x), algebraically. Show all your work.
Advance Functions
A linear function is a polynomial function with a degree of 1, and a degree 4 polynomial function is a polynomial function with a degree of 4. The leading coefficient of a polynomial function is the coefficient of the term with the highest degree. The y-intercept of a graph is the point where the graph crosses the y-axis.
To create the linear function, h(x), we can use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. Since the y-intercept can not be 0, we can choose a value for b that is not 0. For example, b = 2. We can also choose a value for m that is not 0, so that h(x) is not a horizontal or vertical line. For example, m = 3. Therefore, h(x) = 3x + 2.
To create the degree 4 polynomial function, P(x), we can use the factored form: P(x) = a(x - r1)(x - r2)(x - r3)(x - r4), where a is the leading coefficient, and r1, r2, r3, and r4 are the zeros of the function. Since the leading coefficient can not be |1|, we can choose a value for a that is not 1 or -1. For example, a = 2. Since one of the factors must be repeated 2 times, we can choose a value for r1 and set r2 equal to r1. For example, r1 = 1 and r2 = 1. Since one of the zeros must be a fraction, we can choose a value for r3 that is a fraction. For example, r3 = 1/2. Since the zeros should have a mix of positive and negative numbers, we can choose a value for r4 that is negative. For example, r4 = -2. Therefore, P(x) = 2(x - 1)(x - 1)(x - 1/2)(x + 2).
To find the points of intersection between h(x) and P(x), we can set h(x) equal to P(x) and solve for x:
3x + 2 = 2(x - 1)(x - 1)(x - 1/2)(x + 2)
This equation can be solved algebraically by expanding the right-hand side and rearranging the terms to form a degree 4 polynomial equation. Then, we can use the Rational Root Theorem and synthetic division to find the possible rational roots of the equation. Once we find the rational roots, we can use them to factor the equation and find the remaining roots. The x-coordinates of the points of intersection are the roots of the equation.
To determine the intervals when h(x)≥P(x), we can use the points of intersection and the signs of h(x) and P(x) on either side of the points of intersection. If h(x) is greater than or equal to P(x) on an interval, then the graph of h(x) is above or coincident with the graph of P(x) on that interval. We can use a sign chart or a graph to determine the intervals when h(x)≥P(x).
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A. {31, 26, 21, 16, 11,...}
1. d = ?
2. The next term in the sequence would be?
B. {-45, -38, -31, -24, . . .}
1. D = ?
2. The next term in the sequence would be?
The next term in the sequence would be -31.
What is Sequence ?
A sequence is a list of numbers or objects that follow a specific pattern or rule. Each number in the sequence is called a term, and the terms can be finite or infinite.
A. {31, 26, 21, 16, 11,...}
To find the common difference (d) between consecutive terms in the arithmetic sequence, we can subtract any term from the term that comes after it. For example, we can subtract 26 from 31 to get:
31 - 26 = 5
Similarly, we can subtract 21 from 26, 16 from 21, and so on:
26 - 21 = 5
21 - 16 = 5
16 - 11 = 5
Since the differences between consecutive terms are all the same, we can conclude that the common difference is d = 5.
To find the next term in the sequence, we can add the common difference (d = 5) to the last term (11):
11 + 5 = 16
Therefore, the next term in the sequence would be 16.
B. {-45, -38, -31, -24, . . .}
To find the common difference (d) between consecutive terms in the arithmetic sequence, we can subtract any term from the term that comes after it. For example, we can subtract -38 from -45 to get:
-45 - (-38) = -7
Similarly, we can subtract -31 from -38, -24 from -31, and so on:
-38 - (-31) = -7
-31 - (-24) = -7
Since the differences between consecutive terms are all the same, we can conclude that the common difference is d = -7.
To find the next term in the sequence, we can add the common difference (d = -7) to the last term (-24):
-24 - 7 = -31
Therefore, the next term in the sequence would be -31.
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What are the following Sets for these two rational expressions:
22x + 11 x2 – 3x – 10 1 – 2c 20c2 + 10c
20c2 + 10c = {c | c ≠ 0}
The sets for these two rational expressions are as follows:
22x + 11 x2 – 3x – 10 = {x | x ≠ 1/2}
1 – 2c = {c | c ≠ 1/2}
20c2 + 10c = {c | c ≠ 0}
To simplify the expressions, use the following steps:
1. Factor out the greatest common factor (GCF) if one exists.
2. Simplify the numerator and denominator separately.
3. Combine the numerator and denominator.
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The total surface area of the rectangular prism is ________ square centimeters and the lateral surface area is _______ square centimeters.
Answer: surface area is _______ square centimeters.
To answer this question, I would need to know the dimensions of the rectangular prism, as both the total surface area and the lateral surface area depend on the dimensions of the prism.
Assuming the rectangular prism has length (l), width (w), and height (h), the formulas for the total surface area and the lateral surface area are:
Total surface area = 2lw + 2lh + 2wh
Lateral surface area = 2lh + 2wh
Therefore, to find the total surface area and lateral surface area of a specific rectangular prism, I would need to know its dimensions (length, width, and height) and plug them into these formulas.
Step-by-step explanation:
HELPPPPPP EASY 15 POINTSSSSSSSS HELP A GIRL OUT GUYS!!!!!
All of the functions have a constant rate of change since they are linear functions with a slope (rate of change) that is equal to the coefficient of the independent variable. Therefore, all functions have a constant rate of change of their slope.
Option A: y = 6(2) = 12 has a slope of 6, which means it increases by 6 for every unit increase in x.
Option B: y = 2(3) = 6 has a slope of 2, which means it increases by 2 for every unit increase in x.
Option C: y = 3(4) = 12 has a slope of 3, which means it increases by 3 for every unit increase in x.
Option D: y = 4(2) = 8 has a slope of 4, which means it increases by 4 for every unit increase in x.
Therefore, option A has the most rapid rate of change with a slope of 6.
Answer:
the ans the last person gave is very correct
A company makes Poppy label pins. Each of them costs £1. 10 to make. In october it made 1000 label pins. 35% of them are given to charities. The rest are sold in two formats: 60% of them are sold at £3. 00 each
40% of them are sold at £5. 00 for 2
Assuming that all the label pins will be sold by the end of November, work out the percentage profit that the company will make. Give your answer to 1 decimal place
A company will make a profit of 63.9%
Here, the cost of making pins = £1.10
the number of pins = 1000
Using unitary method, the total cost for making 1000 pins would be,
= Cost of each pin × Number of pins
= 1.10 × 1000
= £1110
Now we find the number of pins that sold in charities.
35 percent of pins in charities.
Using percentage formula, we find 35% of total number of pins.
= 35% of 1000
= (35/100) × 1000
= 350 pins
This means that 350 pins were sold in charities.
So, the number of pins left = 1000 - 350
= 650 pins
Out of these remaining pins, 60% are sold at £3. 00 each
So, the number of pins sold at £3.00:
= 60% of 650
= (60/100) × 650
= 390
And the selling price of these 390 pins would be:
= 390 × £3.00
= £1170 .................(1)
40% of 650 pins were sold at £5. 00 for 2
So, using percentage formula the number of pins sold at £5.00 for 2 would be:
= 40% of 650
= (40/100) × 650
= 260
These 260 pins were sold in pairs for £5.
Therefore, number of pairs sold
= 260/2
= 130 pairs
The selling price of these 130 pairs of pins would be,
= 130 × 5.00
= £650 ...............(2)
Therefore, from (1) and (2) the total selling price would be,
= £1170 + £650
= £1820
So, the Profit would be:
= Selling price - Cost price
= 1820 - 1110
= £710
Now using we find the profit percentage:
= Profit × 100 / Total cost price
= 710 × 100 / 1110
= 63.9%
Therefore, the required percentage profit = 63.9%
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Part A. Write a system of linear equations for which there is no solution. Part B. When a system of equations is solved algebraically, how do you know that the system has no solution? Part C. Use your system of equations to explain your reasoning
The system of linear equations will be 2x+3y=8, 4x+6y=15.
Which mathematical equation is the most challenging?
A mathematics issue have baffled the finest scientists in the world for decades. The Diophantine equation x3+y3+z3=k, where k is the sum of all of the numbers from 1 to 100, is sometimes referred to as the "sum of three cubes."
What is an equation's most basic form?
The lowest corresponding fraction of the integer is its simplest form. How to determine the simplest form: Look for shared components in the denominator and numerator. Verify if a fractional integer includes a prime number.
For example:
2x+3y=8
4x+6y=15
Part C:
Using the example above,
2x+3y=8
4x+6y=15
If we multiply the first equation by , we get:
4x+6y=16
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If
two balanced dice are rolled, what is the probability that the sum
of the two numbers that appear will be even?
The probability of the sum of the two numbers being even can be calculated using the formula for the probability of independent events.
The formula for the probability of independent events is: P(A and B) = P(A) x P(B
In this case, A represents the first die and B represents the second die.
To calculate the probability of the sum being even, we need to consider the possible outcomes for each die that would result in an even sum.
For the first die, there are three possible outcomes that would result in an even sum: 1, 3, and 5. The probability of any of these outcomes occurring is 3/6, or 1/2.
For the second die, there are also three possible outcomes that would result in an even sum: 2, 4, and 6. The probability of any of these outcomes occurring is also 3/6, or 1/2.
Using the formula for the probability of independent events, we can calculate the probability of the sum being even:
P(A and B) = P(A) x P(B) = (1/2) x (1/2) = 1/4
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How long of a chain can Jill make by attaching a 13 3 4 -inch chain to a 15 2 4 -inch chain? Select all the possible sums. A. 13 3 4 + 15 2 4 = 28 5 4 B. 13 3 4 + 15 2 4 = 29 1 4 C. 13 3 4 + 15 2 4 = 29 D. 13 3 4 + 15 2 4 = 117 4 E. 13 3 4 + 15 2 4 = 28 5 8 I NEED THIS ASAP
The correct option representing possible sum for the long chain is B. 13 3 4 + 15 2 4 = 29 1 4.
Firstly let us convert the mixed fraction to fraction. So, the length of first chain = (13×4)+3/4
Length of first chain = 55/4 inches
Length of first chain = 13.75 inches
Length of second chain = (15×4)+2/4
Length of second chain = 62/4
Second chain length = 15.5 inches
So, total length = length of first chain + length of second chain
Total length = 13.75 + 15.5
Total length = 29.25 inches
Converting the decimal back to mixed fraction -
Total length = 29 1/4 inches
Thus, the correct answer B. 13 3 4 + 15 2 4 = 29 1 4.
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the information provided to write the vertex form equation of each par: Vertex: (10,-8), Focus: ((41)/(4),-8)
This is the vertex form equation of the parabola with the given information.
From the information provided, we can write the vertex form equation of the parabola as follows:
First, we need to determine the value of "a" in the equation y = a(x - h)^2 + k, where (h,k) is the vertex and "a" determines the width and direction of the parabola.
The distance between the vertex and the focus is equal to 1/4a, so we can use this to find "a":
1/4a = (41/4 - 10)
1/4a = 1/4
a = 1
Now we can plug in the values for the vertex and "a" into the equation:
y = 1(x - 10)^2 - 8
This is the vertex form equation of the parabola with the given information.
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What would be the MOST immediate effect of competition in car manufacturing?
an increase in prices of U.S. cars
an increase in U.S. car production
additional auto workers hired in the U.S.
more choices for U.S. consumers
An increase in U.S. car production would be the most immediate effect of competition in car manufacturing.
As there will be an increase in the competition in car manufacturing the manufacturer will try to produce more and more cars of different types to attract customers. More market competition will provide consumers with more options to buy whatever products they desire, which will lead to a drop in the number of devoted customers for a given product line. Competitive markets have several advantages. Businesses that must constantly compete with one another for customers and market share are motivated to do so by offering products and services that are better than those of their rivals. In this market, businesses must constantly compete with one another by offering products and services that are more innovative, superior, and affordable.
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6. Type inequality here
+
4-2 0 2 468 10 12
x≤8 is the inequality of the number line.
What is Number system?A number system is defined as a system of writing to express numbers.
A number line is a picture of a graduated straight line that serves as visual representation of the real numbers.
In the given number line the shaded dot is at 8 at the arrow is to the left side of the number line which means the value of x is decreasing from point 8.
x≤8 is the inequality
Hence, x≤8 is the inequality of the number line.
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Polly is 21 years old. Aubrey is 4 years older than Polly and 39 years younger than Colton. How old is Colton?
Answer:
60
Step-by-step explanation:
Colton is 60 because Polly is 21 and plus 39 is 60.
A lighthouse flashes a red light every 6 minutes and a green light every 9 minutes. At 7:00 pm the lighthouse flashes red and green lights at the same time. Name the next three times that the lighthouse will flash the red and green lights at the same time.
Answer:
To calculate the time at which they flash together we need to find the least common multiple of 3 and 8.
Multiples of 3 =
3 x 1 = 3
3 x 2 = 6
3 x 3 = 9
3 x 4 = 12
3 x 5 = 15
3 x 6 = 18
3 x 7 = 21
3 x 8 = 24
3 x 9 =27
3 x 10 = 30
Multiples of 8 =
8 x 1 = 8
8 x 2 = 16
8 x 3 = 24
8 x 4 = 32
8 x 5 = 40
8 x 6 = 48
8 x 7 = 56
8 x 8 = 64
8 x 9 =72
8 x 10 = 80
So LCM of 3 and 8 = 24
So both the lights will flash next at 7:24
Step-by-step explanation:
In a statistical test of H0: ????T−????????=0 versus H1: ????T−????????>0 (given the population characterization ????T~????(????T,????T2), ????????~????(????????,????????2) and ????T2=????????2=????2), based on a comparison of Pobs with ????, the investigator does not reject the null hypothesis. Explain why she would have made the same decision had she, instead, compared tobs with tcrit. Provide a carefully reasoned argument and feel free to provide a diagram if it helps you explain.
In a statistical test, the goal is to determine whether the null hypothesis (H0) is true or false based on the observed data. In this case, the null hypothesis is that the difference between the two population means (????T and ????????) is equal to zero, and the alternative hypothesis (H1) is that the difference is greater than zero.
The investigator initially compares the observed probability (Pobs) with the significance level (????) to make her decision. If Pobs is less than ????, then the null hypothesis is rejected, and if Pobs is greater than ????, then the null hypothesis is not rejected.
If the investigator had instead compared the observed test statistic (tobs) with the critical value (tcrit), she would have made the same decision. This is because the critical value is determined based on the significance level, and the test statistic is determined based on the observed data. If the test statistic is greater than the critical value, then the null hypothesis is rejected, and if the test statistic is less than the critical value, then the null hypothesis is not rejected.
Since the decision to reject or not reject the null hypothesis is based on the same criteria (whether the observed value is greater than or less than a predetermined value), the decision would be the same whether the investigator compares Pobs with ???? or tobs with tcrit.
In conclusion, the investigator would have made the same decision had she compared tobs with tcrit instead of Pobs with ???? because both methods are based on the same criteria for rejecting or not rejecting the null hypothesis.
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If X ~N (0,2) Find the
probability distribution function of Y =|X| . Hence, on otherwise
Find
1.E(|X| )
2. Var(|X|)
The probability distribution function of Y = |X| is given by:
P(Y ≤ y) = P(|X| ≤ y) = P(-y ≤ X ≤ y)
Since X ~ N(0, 2), we can use the standard normal distribution to find the probability;
P(Y ≤ y) = P(Z ≤ y/√2) - P(Z ≤ -y/√2)
where Z is a standard normal random variable.
To find E(|X|), we can use the formula:
E(|X|) = √(2/π) * σ
where σ is the standard deviation of X. Since X ~ N(0, 2), σ = √2, so:
E(|X|) = √(2/π) * √2 = √(4/π)
To find Var(|X|), we can use the formula:
Var(|X|) = E(X^2) - E(|X|)^2
Since X ~ N(0, 2), E(X^2) = σ^2 = 2. And we already found E(|X|) = √(4/π), so:
Var(|X|) = 2 - (4/π) = (2π - 4)/π
Therefore, the probability distribution function of Y = |X| is P(Y ≤ y) = P(Z ≤ y/√2) - P(Z ≤ -y/√2), the expected value of |X| is E(|X|) = √(4/π), and the variance of |X| is Var(|X|) = (2π - 4)/π.
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The price of an item yesterday $40. Today, the price fell to $26 what is the percentage decrease
Answer:
35%
Step-by-step explanation:
26/40 = 0.65
1-0.65=35
Correct olve the following system of equations. If there is a solution, write -3x-4y=20 -6x-8y=38
The solution to the given system of equations is x = 2.67 and y = 5.
The given system of equations can be solved by adding the two equations together.
3x + 4y = 20
-6x - 8y = -38
Adding the two equations together, we get:
-3x - 4y = -18
Subtracting 3x from both sides, we get:
-4y = -20
y = 5
Substituting the value of y in either of the given equations, we get:
3x + 4(5) = 20
3x = 8
x = 8/3
x = 2.67
After solving system of equations is x = 2.67 and y = 5.
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I NEED HELP ON THIS ASAP!
Step-by-step explanation:
so u could see that the yellow cab that will take Emma to airport is much more cheaper even though the entry price is a bit expensive .
Quadrilateral ABCD is the result of a reflection of quadrilateral EFGH over the line.
Which line segment in the image corresponds to BC¯¯¯¯¯ in the pre-image?
Responses
HE¯¯¯¯¯¯
H E with bar on top
EF¯¯¯¯¯
E F with bar on top
GH¯¯¯¯¯¯
G H with bar on top
FG¯¯¯¯¯
F G with bar on top
Quadrilateral A B C D is reflected across a line, resulting in image E F G H.
Using prοperties οf quadrilaterals, The line segment in the image that cοrrespοnds tο BC¯¯¯¯¯ in the pre-image is the line segment FG¯¯¯¯¯.
What is the quadrilateral?A pοlygοn with fοur sides and fοur vertices is called a quadrilateral (cοrners). It is a twο-dimensiοnal οbject that is flat and can take οn a number οf fοrms.
We knοw that matching sides οf the pre-image and image are identical in length since a reflectiοn maintains the size and shape οf the figure.
Since a reflectiοn preserves the shape and size οf the figure, we knοw that cοrrespοnding sides οf the pre-image and image are equal in length.
Therefοre, the line segment in the image that cοrrespοnds tο BC¯¯¯¯¯ in the pre-image is the line segment FG¯¯¯¯¯.
Tο see why, imagine fοlding the figure alοng the line οf reflectiοn sο that the pre-image and image cοincide. In this fοlded pοsitiοn, the cοrrespοnding sides οf the twο quadrilaterals will be οn tοp οf each οther. In particular, side BC¯¯¯¯¯ οf the pre-image will be οn tοp οf side FG¯¯¯¯¯ οf the image, cοnfirming that FG¯¯¯¯¯ cοrrespοnds tο BC¯¯¯¯¯ in the pre-image.
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How can you prove the triangle sum theorem?
The sum of angle in a triangle is 180°
What is the sum of angle in a triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.
The sum of angle A, B and C is 180 i.e A+B +C = 180°
Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180
How do we prove that the sum of angle in a triangle is 180°?
Since triangle is 3 sided, n= 3, because n denote the number if sides
therefore the sum of angle = (n-2) 180 = (3-2)×180
= 180°
therefore the sum of angle In a triangle is 180°
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Continue the sequence by increasing each number in powers of 1000:
11345,____,____,____,____,____.
Answer:
12345,13345,14345,15345,16345
Step-by-step explanation:
The graph of y= 3 + 2x - x^2 What are the coordinates of the root of the equation
Answer:
To find the coordinates of the root of the equation y = 3 + 2x - x^2, we need to find the values of x where y = 0 (because the root is the point where the function intersects the x-axis). So we can set y equal to 0 and solve for x:
0 = 3 + 2x - x^2
Rearranging, we get:
x^2 - 2x - 3 = 0
We can factor the quadratic equation by finding two numbers that add up to -2 and multiply to -3. These numbers are -3 and 1, so we can write:
(x - 3)(x + 1) = 0
This equation is true when either x - 3 = 0 or x + 1 = 0. So the roots of the equation are:
x = 3 or x = -1
Therefore, the coordinates of the roots of the equation y = 3 + 2x - x^2 are (3, 0) and (-1, 0).
Find the area of this composite shape. Include correct units.
Show all your work.
so far all I got is the answer may be 136 from my calculator but I forgot the proper formula
Answer:
136cm²
Step-by-step explanation:
explanation in the screenshot
how do you graph y=5x+2
The graph of the linear equation, y = 5x + 2, is shown below in the attachment.
How to Graph a Linear Equation?To graph the linear equation, y = 5x + 2, first plot the y-intercept at (0, 2) on the coordinate plane. Then, use the slope of 5 to move up 5 units and right 1 unit from the y-intercept to find another point on the line.
Continue this process to plot several more points, and then connect the points with a straight line to complete the graph of the equation. The resulting graph will be a straight line with a positive slope of 5 and y-intercept of 2.
See the attachment below for the graph.
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Fun Project in Word (1) 125% A. View Zoom Statistics Fun Project I Name: The following data are the result from two classes. Class A 34,31,29,24,27,37,26,24,20,37,22,18,36 26,28,23,23,27,33,25,36,32,33,25,28,35 Class B
These statistics can help us better understand the data and make comparisons between the two classes.
The given data shows the results of two classes, Class A and Class B.
Class A: 34, 31, 29, 24, 27, 37, 26, 24, 20, 37, 22, 18, 36, 26, 28, 23, 23, 27, 33, 25, 36, 32, 33, 25, 28, 35
Class B: (no data given)
In order to analyze the data, we can use statistics. Statistics is the science of collecting, analyzing, and interpreting data. One way to analyze the data is to find the mean, median, and mode of the data set.
Mean: The mean is the average of the data set. To find the mean, add up all the numbers and divide by the total number of data points.
Mean of Class A = (34+31+29+24+27+37+26+24+20+37+22+18+36+26+28+23+23+27+33+25+36+32+33+25+28+35) / 26 = 28.42
Median: The median is the middle number in the data set. To find the median, sort the data set in ascending or descending order and find the middle number. If there are an even number of data points, the median is the average of the two middle numbers.
Sorted Class A: 18, 20, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 31, 32, 33, 33, 34, 35, 36, 36, 37, 37
Median of Class A = (26+27) / 2 = 26.5
Mode: The mode is the number that appears most frequently in the data set.
Mode of Class A = 24, 26, 27, 33, 36, 37 (all appear twice)
These statistics can help us better understand the data and make comparisons between the two classes.
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hdlppppppppppp asapppp 50 points
Answer:
5
Step-by-step explanation:
Find the coordinates of the reflection: B (1, 3) is reflected over the x-axis B’=?
B' is the reflection of the x-axis at position B(1,3) (1,-3) as a consequence of B (1, 3) being reflected over the x-axis.
what is coordinate ?A coordinate is a group of integers used to describe a point's location in space in mathematics. Cartesian coordinates are the most widely used form of coordinates. They are made up of an ordered pair of numbers (x, y) that represent a point's horizontal and vertical distances from a constant point of reference known as the origin. The y-coordinate indicates the point's vertical distance from the origin, while the x-coordinate represents the point's horizontal distance from it.
given
The x-coordinate remains constant while the sign of the y-coordinate varies when a point is reflected over the x-axis.
Therefore, we only need to alter the sign of the y-coordinate of B in order to determine the reflection B' of the point B(1,3) over the x-axis.
B' is the reflection of the x-axis at position B(1,3) (1,-3) as a consequence of B (1, 3) being reflected over the x-axis.
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