Answer and Explanation:
The irrelevant alternative criterion states that if two candidates A and B contest for an election and candidate B is preferred to candidate A then any other candidate X should not cause candidate A to win the election.
In this case if Mason was candidate A, then candidate B should still win by the majority criterion method and the irrelevant alternative criterion would still be supported. However if he is candidate B then the irrelevant alternative criterion is not supported.
What is A∪ϕ and A∩ϕ for a set A?
Answer:
1 ans A second phi okay yed
Solve the system of linear equations below.
6x + 3y = 33
4x + y = 15
A.
x = 2, y = 7
B.
x = -13, y = 7
C.
x = - 2/3, y = 12 2/3
D.
x = 5, y = 1
Answer:
The answer for both linear equations is A. x = 2, y = 7
Step-by-step explanation:
First start by plugging in the variables with the given numbers (2,7). We'll start with 6x + 3y = 33.
6x + 3y = 33
6 (2) + 3 (7 )= 33 <--- This is the equation after the numbers are plugged in.
12 + 10 = 33
33 = 33 <---- This statement is true, therefore it is the correct pair.
Now we are not done, to confirm that this pair works with both equations we need to solve for 4x + y = 15 to see if it works. Linear Equations must have the variables work on both equations.
4x + y = 15 <----- We are going to do the exact same thing to this equation.
4(2) + 7 = 15
8 + 7 = 15
15 = 15 <-- 15=15 is a true statement therefore this pair works for this equation.
Therefore,
A. x = 2, y = 7 is the correct answer
Sorry this is a day late, I hope it helps.
math help plz
how to divide polynominals, how to understand and step by step with an example provided please
Answer:
I guess this is the answer hope it helps
someone help me translate this word phrase into a mathematical expression xd .. pleash help :3
15 multiplied by -9 first, then 7 subtracted from that total
Answer:
15 multiplied by -9 first, then 7 subtracted from that total{15(-9)}-7hope it helps...stay safe healthy and happy.Answer:
15x(-9)-7
Step-by-step explanation:
it has been translated
What are the roots of the polynomial equation x3 - 6x= 3x2 - 8? Use a graphing calculator and a system of equations
Answer:
Hence, the roots of the polynomial equation are:
-2, 1, 4
Step-by-step explanation:
We are asked to find the roots of the polynomial equation:
We can also equate this equation to y to obtain a system of equation as:
and
Hence, the roots of the polynomial; equation are the x-values of the point of intersections of the graph of the system of equations.
Hence, the point of intersection of the two graphs are:
(-2,4), (1,-5) and (4,40)
Hence, the roots of the polynomial equation are:
-2, 1, 4
Can you please help me solve this step by step?
Answer:
2/3
Step-by-step explanation:
[tex]2 \frac{1}{4} : \frac{1}{2}[/tex] = [tex]\frac{9}{4} : \frac{1}{2}[/tex]
[tex]\frac{\frac{9}{4} }{\frac{1}{2} }[/tex] = [tex]\frac{3}{x}[/tex]
3 * 1/2 = 9/4x
3/2 = 9/4 x
x = 3/2 ÷ 9/4 = 3/2 * 4/9 = 12/18 = 6/9 = 2/3
if 1 candian dollar is equivalent to 1.04 austrialian dollars what is the value if 4269 australian dollars in canadian currency?
Answer:
4104.807
Step-by-step explanation:
4269÷1.04
=4104.807
Answer:
4104.8
Step-by-step explanation:
To solve this problem, the easiest approach is to set up a proportion. Use the following general format;
[tex]\frac{currenncy_1}{currency_2}=\frac{balance_1}{balance_2}[/tex]
This will allow one to describe the relationship between the different currency values. Substitute in the given information and solve;
[tex]\frac{currenncy_1}{currency_2}=\frac{balance_1}{balance_2}[/tex]
[tex]\frac{canadian}{australian}=\frac{balance_1}{balance_2}[/tex]
[tex]\frac{1}{1.04}=\frac{x}{4269}[/tex]
Cross products,
[tex]\frac{1}{1.04}=\frac{x}{4269}[/tex]
[tex](1)(4269)=(1.04)(x)\\4269=1.04x[/tex]
Inverse operations,
[tex]4269=1.04x\\4104.8\approx x[/tex]
How would the fraction [tex]\frac{7}{1-\sqrt{5} }[/tex] be rewritten if its denominator is rationalized using difference of squares?
Answer:
[tex] \frac{7 + 7 \sqrt{5} }{ - 4} [/tex]
Step-by-step explanation:
We would multiply the fraction by its conjugate
( A conjugate is a expression that has the same integer or number values but have different signs) for example
[tex]5x + 2[/tex]
and
[tex]5x - 2[/tex]
ARE Conjugates.
The conjugate of
[tex]1 - \sqrt{5} [/tex]
is
[tex]1 + \sqrt{5} [/tex]
So this means we will multiply the expression by 1 plus sqr root of 5 on the numerator and denominator.
Our new numerator will be
[tex]7 \times (1 + \sqrt{5} ) = 7 + 7 \sqrt{5} [/tex]
We can apply the difference of squares for the denominator.
[tex](x + y)(x - y) = x {}^{2} - {y}^{2} [/tex]
So our denominator will be
[tex]1 - 5 = - 4[/tex]
So our rationalized fraction will be
[tex] \frac{7 + 7 \sqrt{5} }{ - 4} [/tex]
A certain lottery has 37 numbers. in how many different ways can 4 of the numbers be selected?
evaluate the expression when x=7 and y= -2 -x+8y
Answer:
y=-2
Step-by-step explanation:
y=-2*-7*+8y
y= 14+8y
-7y=14
y=-2
The surface area of a roof with dimensions of 40 feet long by 28 feet wide is how many times the surface area of a floor where the dimensions are 16 feet long by 7 feet wide?
Answer:
10 times
Step-by-step explanation:
Multiply 40 by 28
1120
Multiply 16 by 7
112
Divide the two numbers
You get 10
Hope this helps!
solve the quadratic equation x²+x-2
Step-by-step explanation:
ii hope this will help you
please mark me as brinalist friend
Answer:
x = 1
x = -2
Step-by-step explanation:
Hello!
We can solve the quadratic by factoring the equation.
Standard Form of a Quadratic: [tex]ax^2 + bx + c = 0[/tex]
Given our equation: [tex]x^2 + x - 2 = 0[/tex]
a = 1b = 1c = -2Find two numbers that multiply up to "ac" but add up to "b". The two numbers are 2 and -1. Expand x into 2x and -1x.
Factor by Grouping[tex]x^2 + x - 2 = 0[/tex][tex]x^2 + 2x - x - 2 = 0[/tex][tex]x(x + 2) -1(x + 2) = 0[/tex][tex](x - 1)(x + 2) = 0[/tex]Set each factor to 0 and solve for x:
[tex]x - 1 = 0\\x = 1[/tex][tex]x + 2 = 0\\x = -2[/tex]The solutions for x are 1 and -2.
Which graph represents the function below?
y= { -x if x > -3
x+6, if x<(or equal to)3
Answer:
second option
Step-by-step explanation:
I'm not sure how to explain but if you really need an explanation please message me
The function that represents the absolute function will be y = -|x + 3| + 3. Then the function is represented by graph A.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
If the vertex of the absolute function is at (h, k). Then the absolute function is given as
f(x) = | x - h| + k
The function is given below.
y = -x, if x > -3
y = x + 6, if x ≤ -3
The value of the functions at x = -3 is calculated as,
y = - (-3)
y = 3
y = -3 + 6
y = 3
The capability that addresses the outright capability will be y = - |x + 3| + 3. Then the capability is addressed by diagram A.
The graph is given below.
More about the absolute function link is given below.
https://brainly.com/question/10664936
#SPJ2
I need help with this x/4 - 3x/8 = 5
Answer:
x=−40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x4−3x8=5
14x+−38x=5
(14x+−38x)=5(Combine Like Terms)
−18x=5
−18x=5
Step 2: Multiply both sides by 8/(-1).
(8−1)*(−18x)=(8−1)*(5)
x=−40
Answer:
x=−40
Hello!
x/4 - 3x/8 = 5
2x - 3x = 40
-x = 40
x = -40
Good luck! :)
Applying the translation (x, y) - (x - 3, y + 7) maps the point (-4,7) onto the point
9
O A) (14, -7)
12
B) (7, -14)
15
C) (14, 7)
D) (-7, 14)
Answer: Choice D. (-7, 14)
Work Shown:
[tex](x,y) \to (x-3, y+7)\\\\(-4,7) \to (-4-3, 7+7)\\\\(-4,7) \to (-7, 14)\\\\[/tex]
The point has moved 3 units to the left and 7 units up. See the diagram below.
Examine the two normal probability curves and complete the statements.
The mean of the shorter normal curve is ["equal to", "greater than", "less than"] the mean of the taller normal curve.
The standard deviation of the shorter normal curve is ["less than", "greater than", "equal to"] the standard deviation of the taller normal curve.
The area under the shorter normal curve is ["equal to", "greater than", "less than"] the area under the taller normal curve.
Answer: hello the two normal probability curves are missing
answer:
a) equal to
b) greater than
c) equal to
Step-by-step explanation:
a) The mean of the shorter normal curve is equal to The mean of the taller normal curve is
b) The standard deviation of the shorter normal curve is greater than the standard deviation of the taller normal curve
c) The area under the shorter normal curve is equal to the area under the taller normal curve
A mechanic charges $65 for an engine check and $20 per hour for his
services. Which of the following is a linear model of his charges.
y=20x+65
y=65x+20
y=3.25x+65
O y=3.25x+20
Question 5
Answer:
y = 65 + 20x
Step-by-step explanation:
Okay, when you're talking about linear equations try to find the fixed value, and then the changing one.
The fixed value will be by itself
The value that varies will have a variable next to it (x, y, z, whatever)
Then, the answer has to be
y = 65 + 20x
(7 + 10i)+(4-10i)-(7-5i)
Answer:
4 + 5i
Step-by-step explanation:
To calculate this you have to combine the like terms until they cannot be combined any further:
7 + 10i + 4 - 10i - (7 - 5i)
11 + 0i - 7 - 5i
7 & 4 are liked terms so add them together + subtract 10i and 10i
4 + 5i <--- Final answer
Hope this helps!
Answer:
4 + 5i
Step-by-step explanation:
(7 + 10i) + (4 - 10i) - (7 - 5i)
7 + 10i + 4 - 10i - (7 - 5i)
11 - 7 + 5i
4 + 51
NO LINKS OR ANSWERING WHAT YOU DON'T KNOW?
1. Suppose y varies inversely with x, and y = 25 when x = 1/5. What is the value of y when x = 5?
a. 15
b. 5
c. 25
d. 1
2. Suppose y varies inversely with x, and y = a when x = a^2. What inverse variation equation related x and y?
a. y = a^2/x
b. y = a^3/x
c. y= a^3x
d. y = ax
3. Suppose y varies inversely with x, and y = 3 when x = 1/3. What is the inverse variation equation that relates x and y?
a. y = 1/x
b. y =x
c. y = 3x
d. y = 3/x
Answer:
1. D. 1
2. B. y=a³/x
3. A. y=1/x
Step-by-step explanation:
too long to give te explanations but they're there in the attachments
The circle P has a center at (0, 0) and a point on the circle at (0, 4). If it is dilated by a factor of 4, what is the distance of the diameter for circle P’.
A. 32
B. 4
C. 8
D. 16
Answer:
A. 32
Step-by-step explanation:
If the center is (0, 0) and a point is (0, 4) then the distance from the center to that point is 4 units. That distance is the radius. If you are dilating by a factor of 4, multiply the radius by 4 and you get 16. The new radius is 16 and the diameter= radius*2.
16*2=32
the campus bookshop sells exercise books and textbooks, where, the total cost of 10 exercise books and 2 textbooks is $1400.00. One also finds the total cost of 3 textbooks and 30 exercise books is $3000. Then determine the price of 1 exercise book?
Answer:
The price of 1 exercise book is $122.45.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the price of one exercise book.
y is the price of one textbook.
Total cost of 10 exercise books and 2 textbooks is $1400.00.
This means that:
[tex]10x + 2y = 1400[/tex]
Since we want x:
[tex]2y = 1400 - 10x[/tex]
[tex]y = 700 - 5x[/tex]
One also finds the total cost of 3 textbooks and 30 exercise books is $3000.
This means that:
[tex]3x + 30y = 3000[/tex]
Since [tex]y = 700 - 5x[/tex]
[tex]3x + 30(700 - 5x) = 3000[/tex]
[tex]3x + 21000 - 150x = 3000[/tex]
[tex]147x = 18000[/tex]
[tex]x = \frac{18000}{147}[/tex]
[tex]x = 122.45[/tex]
The price of 1 exercise book is $122.45.
Lost-time accidents occur in a company at a mean rate of 0.4 per day. What is the probability that the number of lost-time accidents occurring over a period of 9 days will be no more than 5
Answer:
0.8441
Step-by-step explanation:
This question can be solved by using the microsoft excel command.
we start off by solvingfor the mean rate for 9 days
mean rate = 0.4
for 9 days = 0.4*9 = 3.6
using the excel command,
POISSON (5, 3.6, TRUE)
p(x≤ 5) = 0.8441
so in conclusion 0.8441 is the probability that lost time accidents over 9 days would not be greater than 5.
the attachment is an excel sheet showing the input and the result.
Please help :)
Solve 3(m-4)=33
Thanks so much :)
Answer:
3(m-4)=33
3m-12=33
3m=45
m=15
Check:
3(15-4)=33
3(11)=33
33=33
Hope This Helps!!!
Answer:
m = 15
Step-by-step explanation:
3 ( m - 4 ) = 33
Solve for m
3 ( m - 4 ) = 33
Divide both side by 3
[tex]\small \sf \frac{3(m-4)}{3} = \frac{33}{3} \\ [/tex]
m - 4 = 11
Add 4 to both side
m - 4 + 4 = 11 + 4
m = 15
Xavier is testing different types of planting soil to determine which type is most effective in growing blueberry bushes. He purchases two different brands of planting soil from a local store. Xavier applies Brand A to an area of the yard that receives full sunlight and Brand B to another area of the yard that is in partial sunlight. He waters the area with Brand B daily; he waters the area with Brand A every other day. At the end of the study, Xavier concludes Brand A is more effective in growing blueberry bushes. Why is his conclusion not valid?
Answer:
He did not control for lurking variables and their impacts on the results of his experiment. Amount of sunlight and water received are two outside variables(or confounding variables) that may impact the growth of his plants and influence the results. He needs to apply the same amount of sunlight and water to each plant within a different planting soil in order to rule out the influence of those two variables and test the sole effect of the soil brand on the plant growth. Otherwise, it would be hard to determine whether his plant growth was because of the soil brand or the different amounts of sunlight and water received
Answer:
Invalid
Step-by-step explanation:
Xavier did not control variables or the impacts of the results. Confounding variable being sunlight and water received are two outside variables that can impact growth influence results. Within a different planting soil, Xavier will apply the same amount of sunlight & water to each plant to rule out the influence of those two variables. The test for sole effect on the plant with growth otherwise be determine. Is the plant growth because of the soil brand or the different amounts of sunlight and water received? This could and will impaired the results of this experiment, therefore, making it invalid.
Find the values of x and y that make these triangles congruent by the HL theorem
Answer:
x = 3, y = 2Step-by-step explanation:
As due to congruency,
x + 3 = 3y
[By putting the values of x = 3 and y = 2]
=> 3 + 3 = 3 × 2
=> 6 = 6
and,
x = y + 1
[By putting the values of x = 3 and y = 2]
=> 3 = 2 + 1
=> 3 = 3
Hence, proved
if angle ACB = angle DCD, angle BAC = 3x-10, angle ECD= 45degrees, and angle EDC = 2x+10 wgat is x
Answer:
x = 20
Step-by-step explanation:
3x -10 = 2x +10
x = 20
solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!
Answer: [tex]t\in [\dfrac{1}{4},2][/tex]
Step-by-step explanation:
Given
Inequality is [tex]4t^2\leq9t-2[/tex]
Taking variables one side
[tex]\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0[/tex]
Using wavy curve method
[tex]t\in [\dfrac{1}{4},2][/tex]
What is the slope of (-4,1) and (-1,3)
Answer:
slope is 2÷3 of giving line points
PLEASE HELP I DONT NEED EXPLANATION JUST THE EQUATION IM IN A TEST RN HELP ASAP THANK YOU SO MUCH :)))
Answer:
[tex]-x^{2}[/tex]
Step-by-step explanation:
It simple really its just a reflection over the x-axis making it a negative towards the parent function
Answer:
The answer is -x²
Step-by-step explanation:
Hope this helps :)
The correct and best answer will be marked as brainiest
Answer:
x=10
m=3
Step-by-step explanation:
The angles are the same since the sides are the same length (isosceles triangle)
55 = 5x+5
Subtract 5
55-5 =5x+5-5
50 = 5x
Divide by 5
50/5 = 5x/5
10=x
The altitude is a perpendicular bisector so
5m-3 = 2m+6
Subtract 2m from each side
5m-3-2m = 2m+6-2m
3m-3 = 6
Add 3 to each side
3m-3 +3 =6+3
3m =9
Divide by 3
3m/3 = 9/3
m =3
