Which of the following rational functions is graphed below?
10-
10
-10
-10-
O A. F(x) =
X-2
x(x + 5)
OB. F(x)=
1
(x+5)(x-2)
O C. F(x) = (x+5)(x - 2)
X
O D. F(x) = (x+5)(x-2)
X
The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
f(x) = x(x + 5)(x - 2)
x(x + 5)(x - 2) = 0
x = 0, x + 5 = 0, x - 2 = 0
x = 0, -5 and 2
The graph of the function f(x) = x(x + 5)(x - 2) have x intercepts at x = 0, -5 and 2
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Invent examples of data with
(a) SS(between) = 0 and SS(within) > 0
(b) SS(between) > 0 and SS(within) = 0
For each example, use three samples, each of size 5.
The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.
(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.
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cuál es el perímetro del triángulo amarillo?
Answer:
a/2 + b unidades
Step-by-step explanation:
Mi primera lengua es ingles (tienes paciencia por favor). Se da que la parte inferior es a/2 unidades. La parte anaranjada tiene un lado que es b/2, entonces todos los lados son b/2 tambien. Entonces el lado del derecho es b/2. La izquierda es b/2 tambien ( se da eso). Entonces el perimetro del triangulo amarillo es a/2 + b/2 + b/2 = a/2 + b unidades.
HELP with Geometry PLEASES!! 100 points!!!
Answer:
in order from images displayed, x = 20, x = 6, x = 5.5
Step-by-step explanation:
4x - 8 + 6x - 12 = 180
10x -20 = 180
10x = 200
x = 20
5x - 1 = 29
5x = 30
x = 6
14x - 6 = 12x + 5
2x = 11
x = 5.5
Exercise 1: x is 20°.
Exercise 2: x= 6.
Exercise 3: x= 5.5.
Step-by-step explanation:Exercise 1.1. Set up an equation.If we where to addition both of the angles presented in the image, they have to sum up 180°, because is half a turn. Using this logic, we may add up both of the angles and equal them 180°:
\(4x-8+6x-12=180\)
2. Solve the equation.\(4x-8+6x-12=180\\ \\4x+6x-8-12=180\\ \\10x=180+8+12\\ \\10x=200\\ \\\frac{10x}{10} =\frac{200}{10} \\ \\x=20\)
3. Express the result.Considering that the result of the equation was 20, there's enough evidence to sustain that the measure of angle x is 20°.
Exercise 2.1. Create an equation.
If C is the midpoint of AQ, then AC must measure the same as CQ, hence, AC=CQ. In numerical terms:
\(5x-1=29\)
2. Solve the equation.\(5x-1=29\\ \\5x=29+1\\ \\5x=30\\ \\\frac{5x}{5} =\frac{30}{5} \\ \\x=6\)
3. Express the result.x= 6.
Exercise 3.1. Create an equation.
It's basically the same as exercise 2, except that this time we are equating to an expression with a variable:
\(14x-6=12x+5\)
2. Solve the equation.\(14x-6=12x+5\\\\14x-12x=5+6\\ \\2x=11\\ \\\frac{2x}{2}=\frac{11}{2} \\ \\x=5.5\)
3. Express the result.x= 5.5.
need help with this please
Answer:
no lo sé no lo sé
Step-by-step explanation:
solo se que nada se
Solve:3x - 4 = 2x - 10
Answer:
x=-6
Step-by-step explanation:
1. Move the variable to the left-hand side and change its sign
3x-4-2x=-10
2. Collect like terms
x=-10+4
-10+4= -6
Given the function f(x) = 0.5|x - 41-3, for what values of x is f(x) = 7?
x = -24, x = 16
x= -16, x = 24
x=-1, x = 9
x = 1, x = -9
The values of x for which f(x) = 7 are x = 61 and x = 21.
To find the values of x for which f(x) = 7, we can set up the equation and solve for x.
The given function is f(x) = 0.5|x - 41| - 3.
Setting f(x) equal to 7, we have:
0.5|x - 41| - 3 = 7.
First, let's isolate the absolute value term:
0.5|x - 41| = 7 + 3.
0.5|x - 41| = 10.
To remove the absolute value, we can consider two cases:
Case: (x - 41) is positive or zero:
0.5(x - 41) = 10.
Multiplying both sides by 2 to get rid of the fraction:
x - 41 = 20.
Adding 41 to both sides:
x = 61.
So x = 61 is a solution for this case.
Case: (x - 41) is negative:
0.5(-x + 41) = 10.
Multiplying both sides by 2:
-x + 41 = 20.
Subtracting 41 from both sides:
-x = -21.
Multiplying both sides by -1 to solve for x:
x = 21.
So x = 21 is a solution for this case.
Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.
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54 is what percent of 24? Enter your answer in the box.
Answer:
225%
2*24=48, with 6 leftover. 6 is 25% of 24, so 200% (From when we multiplied 24 by 2) plus 25% (from the remainder) = 225%
a triangle has one side length of 9cm and another side of .12cm what are 3 possible answers for the third side
If a triangle has one side length of 9cm and another side of .12cm . The 3 possible answers for the third side are: 17, 20, and 21.
What are the possible lengths for the third side?To determine the possible lengths for the third side of the triangle, we can use the triangle inequality theorem, which states that the sum of any two sides of a triangle must be greater than the third side.
Using this theorem, the possible lengths for the third side can be found by checking which of the following inequalities hold:
9 + 12 > x
9 + x > 12
12 + x > 9
Simplifying these inequalities, we get:
x > -3 (always true)
x > -9 (always true)
x > -3 (always true)
Therefore, the possible lengths for the third side of the triangle must satisfy x > -9, which eliminates the answer 3 (which is less than 9 - 12 = -3).
The possible lengths for the third side are:
9 + 12 > x, so x < 21
9 + x > 12, so x > -3
12 + x > 9, so x > -3
Therefore, the possible lengths for the third side of the triangle are:
17 (9 + 12 = 21, which is greater than 17)
20 (9 + 12 = 21, which is greater than 20)
21 (9 + 12 = 21, which is equal to 21)
So, the three possible lengths for the third side of the triangle are 17, 20, and 21.
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The complete question is:
A triangle has one side length of 9
centimeters (cm) and another side length of 12
cm.
Which answers are possible lengths for the third side?
Select three that apply
17
22
9
21
20
3
The volume of a right cone is 2325
�
π units
3
3
. If its radius measures 15 units, find its height.
The height of the right cone will be 9.86 units.
What is the volume of a cone?The area a cone takes up in a three-dimensional plane is known as its volume. A cone's base is circular, so it is made of a radius and a diameter.
Given that the volume of the cone is 2325 cubic units and the radius of the cone is 15 units.
The height of the cone will be calculated as:-
Volume = 2325
(1/3)πr²h = 2325
( 1/3 ) x π x 15)² x h = 2325
h = ( 2325 x 3 ) / ( 15 x 15 x π )
h = 9.86 units
Therefore, the height of the right cone will be 9.86 units.
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I need help with this practice problem I will send you an additional picture, it is the rest of the answer options
Given:
The polar coordinate is
\((-3,-\frac{3\pi}{4})\)The solution will be resolved graphically
where,
\((x,y)=(-3,-\frac{3\pi}{4})\)Let us now plot the coordinate using a graphing calculator
Hence, the correct option is Option 2.
What is the w
4w+3w=63
Answer:
7w=63
63÷7=9
so, (w=9)
Answer:
9
Step-by-step explanation:
3*9 = 27 4*9=36
36 + 27 = 63
lan ran 24 laps in a charity run and then walked 0.2 kilometer to the presentation table the total; distance lan traveled was 29.6 kilometer what was the distance of each lap explain how you solve the problem
Answer:
Step-by-step explanation:
1.225km is equal to each laps
Step-by-step explanation:
Since Kristy total distance traveled = 29.6km
And Kristy ran 24 laps and later walk 0.2km. it simply implies that
Total distance traveled = distance covered running + distance covered walking
Since we know that
Total distance traveled = 29.6km
distance covered running = 24 laps
distance covered walking = 0.2km
Distance covered running in km = total distance traveled - distance covered walking
Distance covered running in km = 29.6km - 0.2km = 29.4km.
To now find the distance for each lap.
Since we have:
Distance covered running in km = 29.4km.
Distance covered running in lap = 24 laps
i.e
24 laps = 29.4km
1 lap = x
Use cross-multiple
24 laps * x = 29.4km × 1 lap
x = 29.4km / 24
x = 1.225km
Therefore
1.225km is equal to each laps.
Answer:1.225km is equal to each laps
Step-by-step explanation:
A factory made 3 jars of creamy peanut butter and 97 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy?
Answer:
3%
Step-by-step explanation:
They made 97+3 total jars, 3 out of 100 is 3 percent.
How many hours of sleep do you get each night? Is this a statistical question
Answer:
Yes.
Step-by-step explanation:
This is a statistical question because a statistical question is a question that can be answered by collecting data that vary. The question that you provided would have different answers from different people.
Another example of a statistical question could be: "How old are the students at my school?" This would be statistical because once again, the ages will vary from different people.
What is the probability that both events will occur? Two dice are tossed. Event A: the first die is a 5 or 6. Event B: The second die is not a 1
Answer: The probability that both events A and B will occur is 5/18 or 0.28.
Step-by-step explanation:
To determine the probability that both events A and B will occur, we need to calculate the probabilities of each event separately and then multiply them together.
Event A: The probability of rolling a 5 or 6 on the first die is 2 out of 6 (since there are two favorable outcomes out of six possible outcomes on a fair six-sided die). Therefore, the probability of event A is 2/6 or 1/3.
Event B: The probability of not rolling a 1 on the second die is 5 out of 6 (since there are five favorable outcomes out of six possible outcomes). Therefore, the probability of event B is 5/6.
To find the probability that both events A and B occur, we multiply the probabilities:
Probability(A and B) = Probability(A) * Probability(B) = (1/3) * (5/6) = 5/18.
What is 1/5 as a whole number and what is 1/3 as a whole number? Please help I need this because I’m trying to do my work but I don’t know this ;(
Answer:
1/3 and 1/5 are not whole numbers because they are both fractions.
the closest you could get is 0.20 and 3.33
Step-by-step explanation:
1/5 = 0.2 x 10 = 0.20
1/3 = 0.333 x 10 = 3.33
PLEASE HELP!!
Which representation models a proportional relationship between x and y
What is the meaning of "\( \varphi (x,y)\) be \( y\wedge \phi (x)\) "?
The reasoning presented lacks explicit explanations and logical connections between the steps, making it difficult to fully understand the intended proof strategy.
The given proof aims to show that the Separation Axioms can be derived from the Replacement Schema using a particular construction involving a formula p(x, y). Let's analyze the proof step by step:
Define the formula p(x, y) as x = yo(x).
This formula states that for each x, y pair, x is equal to the unique object y such that y is obtained by applying the operation o to x.
Define the set F as {(x, x) (x)}.
This set F contains pairs (x, x) where x is the unique object obtained by applying the operation (x) to x.
Claim: F(X) = {y (x = X)p(x, y)} = {y: (x = X)x = y^o(x)} = {x: (3x € X)o(x)} = {x X: (x)}.
This claim asserts that F(X) is equivalent to {y (x = X)p(x, y)}, which is further equivalent to {y: (x = X)x = y^o(x)}, and so on.
The proof states that since (x, y) satisfies the functional formula VaVyVz(p(x, y)^(x, z) y = z), it follows that (x, y) is a functional formula.This step emphasizes that the formula p(x, y) satisfies certain properties that make it a functional formula, which is relevant for the subsequent deductions.
Finally, the proof concludes that the Separation Axioms follow from the Replacement Schema, based on the previous steps.
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Approximately what portion of the circle is shaded blue?
A. 2/5
B. 2/3
C. 1/3
What is the area of the triangle
Answer:
A. 6 inchesssssssss
Answer:
6
Step-by-step explanation:
Find the value of x in the equation
X+2.37=5.94
Answer:
x = 3.57
Step-by-step explanation:
5.94 - 2.37 = 3.57
Hope this helped
Answer:
3.57
Step-by-step explanation:
Subtract 2.37 from both sides.
5.94 - 2.37 = 3.57
I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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Joe has 3/4 cup of paint in a container. He uses 1/3 cup on a project and then adds another 1/2 cup. How much paint does he have now?
Answer:
Step-by-step explanation:
The cup of paint he has now is 11/12.
What is the amount of paint he has now?We are basically going to add or subtract the quantity of cup added or used respectively.
Initially, he has 3/4 cup of paint.
He uses 1/3 cup out of the 3/4 cup of paint, so we subtract 1/3 from 3/4:
= 3/4 - 1/3 = 5/12
He adds another 1/2 cup, so we add 1/2 to what we have left previously (5/12):
= 5/12 + 1/2 = 11/12
Therefore, the amount of paint he has now is 11/12 cup
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Solve each system by elimination-3x+y=18-3x+y=18
To solve a system of equations by elimination, we need to add or substract one equation to the other.
In this case, we can see that we have a single y in the two equations, then if we substract the first by the second, the y will be eliminated:
\(\begin{gathered} (-3x+y=18)-(-3x+y=18) \\ -3x-(-3x)+y-y=18-18 \\ 0=0 \end{gathered}\)But, the two equations are equal, then we get a situation:
\(0=0\)The solution is 0 = 0, or we say that the system has infinite many solutions. Also, this kind of systems are called dependant
Which of these statements is true for the Cartesian coordinate system?
A.
the values below the X-axis are negative values of x
B.
the values below the X-axis are negative values of y
C.
the values above the X-axis are negative values of x
D.
the values above the X-axis are negative values of y
E.
the values on the X-axis are positive v
The statement that is true for the Cartesian coordinate system is A. the values below the X-axis are negative values of x.
What is the Cartesian coordinate system?The Cartesian coordinate system, also called rectangular coordinate system, helps plot coordinates in a two-dimensional plane. This model contains two axes -- the x-axis (horizontal) and y-axis (vertical) -- that meet at the origin. The values beneath the x-axis represent negative y-values, not x-values as some assume.
Likewise, above the x-axis represents positive y-values, not x-values. Meanwhile, points along the x-axis aren't considered either positive or negative but rather labeled based on their distance away from the origin as per this structure's guidelines.
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.54 oz of premium walnuts costs $12.95. what is cost per ounce
The cost per ounce of the premium walnut is $0. 23
What is proportion?To determine the value of the cost, we need to note that proportion is simply described as the comparison of numbers such that they are made equal to another.
From the information given, we have that;
54 ounces of premium walnuts costs $12.95
This is represented as;
54 ounces = $12. 95
Then 1 = x
cross multiply the values, we get;
x = $12.95/54
Divide the values, we get;
x = $0. 23
Hence, the value is $0. 23 per premium walnut
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When 5 randomly selected people all have the same birth month of March.
Answer:
I know 4 people that are all really close friends and all have birthdays in march.
Step-by-step explanation:
To the nearest degree, what is the measure of the central angle for bathing?
The central angle of Bathing = 108 degrees.
In the given pie chart,
Since we know,
A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry around the center.
The whole circle is 360 degrees
which represents 100%.
It is given that,
Bathing = 30%
So have need to find 30% of 360 degrees.
Therefore,
Bathing = (30/100)x360
= (30/10) x 36
= 3x36
= 108
Hence,
The central angle = 108 degrees.
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The complete question is:
To the nearest degree, what is the measure of the central angle for bathing?
solve the triangle for which angle a =30\degree, angle b=45\degree, and a=20
The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636
Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.
Here, it is given that,
angle a = 30 degrees
angle b = 45 degrees
side a = 20
angle c = 180 - (angle a + angle b)
angle c = 180 - (30 + 45)
angle c = 180 - 75
angle c = 105 degrees
We know that, a/sin(A) = b/sin(B) = c/sin(C)
a/sin(A) = b/sin(B) = c/sin(C)
20/sin(30) = b/sin(45) = c/sin(105)
b/sin(45) = 20/sin(30)
b = (sin(45) * 20) / sin(30)
b ≈ (0.7071 * 20) / 0.5
b ≈ 14.142 / 0.5
b ≈ 28.284
Now,
c/sin(105) = 20/sin(30)
c = (sin(105) * 20) / sin(30)
c ≈ (0.9659 * 20) / 0.5
c ≈ 19.318 / 0.5
c ≈ 38.636
Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.
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