Answers
Answer:
The range for the 6th graders is 30-90 and the range for the 7th graders is 50-90
Step-by-step explanation:
Each one of the dots represents a individual test score from a student look at the two dots on each side and the number it falls on that shows you the range for each individual dot plot
Related Questions
Prove for any value of y the value of expression y^4−(y^2−9)(y^2+9) is divisible by 9.
Answers
Answer:
Step-by-step explanation:
y4−
(y2−9)(y2+9)
9
Distribute:
=y4+
−1
9
y4+9
Combine Like Terms:
=y4+
−1
9
y4+9
=(y4+
−1
9
y4)+(9)
=
8
9
y4+9
Answer:
=
8
9
y4+9
The polynomial expression is divisible by 9
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial be represented as A
Now , A = y⁴ - (y² - 9)(y² + 9)
To prove that the expression y⁴ - (y² - 9)(y² + 9) is divisible by 9 for any value of y, we can use algebraic manipulation and factorization.
First, we can simplify the expression inside the parentheses:
y² - 9 = (y - 3)(y + 3)
y² + 9 = (y + 3i)(y - 3i)
where i is the imaginary unit, i.e., i² = -1.
Substituting these expressions back into the original equation, we get:
y⁴ - (y² - 9)(y² + 9) = y⁴ - (y - 3)(y + 3)(y + 3i)(y - 3i)
Now, we can factor out (y − 3)(y + 3) from the second term:
y⁴ - (y² - 9)(y^2 + 9) = y⁴ - (y² - 9)(y² + 9) + 9(y - 3)(y + 3)
= y⁴ - (y² - 3^2)(y² + 3²)
= (y²)² - (3²)²
= (y² + 3²)(y² - 3²)
= (y² + 9)(y² - 9)
= (y + 3i)(y - 3i)(y + 3)(y - 3)
Now, we can see that the expression is equal to the product of four factors: (y + 3i), (y - 3i), (y + 3), and (y - 3). Note that either (y + 3i) and (y - 3i) or (y + 3) and (y - 3) must have the same residue modulo 3, since there are only three residues modulo 3 (0, 1, and 2) and four factors. In either case, the product of the two factors that have the same residue modulo 3 is divisible by 3, and therefore the entire expression is divisible by 3.
Moreover, since (y + 3) and (y - 3) are both odd or both even, the product of (y + 3) and (y - 3) is divisible by 8, which implies that the entire expression is also divisible by 8.
Hence , the expression y⁴ - (y² - 9)(y² + 9) is divisible by both 3 and 8 for any value of y, and therefore it is also divisible by their least common multiple, which is 9
To learn more about polynomials click :
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The equations 4 x minus 5 y = 5, 3 x + 10 y = 20, 4 x minus 5 y = negative 5, and 3 x + 10 y = negative 20 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 1) and (2.5, 3). Orange line goes through (0, negative 1) and (2.5, 1). Blue line goes through (0, 2) and (3.5, 1). Pink line goes through (0, negative 2) and (3.5, negative 3). Which system of equations has a solution of approximately (–2.7, –1.2)? 4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20 4 x minus 5 y = 5 and 3 x + 10 y = 20 4 x minus 5 y = 5 and 3 x + 10 y = negative 20 4 x minus 5 y = negative 5 and 3 x + 10 y = 20
Answers
Answer:
First one:
4 x minus 5 y = negative 5 and 3 x + 10 y = negative 20
Step-by-step explanation:
4 x - 5 y = -5 (1)
3 x + 10 y = -20 (2)
Multiply (1) by 2 and add to (×)
8x - 10y = -10
3x + 10y = -20
11x = -30
x = -30/11 = -2.727272
x = -2.7
4(-30/11) - 5y = -5
5y = -65/11
y = -13/11 = -1.18181818
y = -1.2
Answer:
4 x - 5 y = - 5 and 3 x + 10 y = - 20
Step-by-step explanation:
4 x - 5 y = -5 (1)
3 x + 10 y = -20 (2)
Multiply (1) by 2 and add to (×)
8x - 10y = -10
3x + 10y = -20
11x = -30
x = -30/11 = -2.727272
x = -2.7
4(-30/11) - 5y = -5
5y = -65/11
y = -13/11 = -1.18181818
y = -1.2
hope this helps..
The grades on a geometry midterm at Springer are roughly symmetric with u = 73 and 0 = 3.0.
Umaima scored 72 on the exam.
Find the z-score for Umaima's exam grade. Round to two decimal places.
Answers
Answer:
z = - 0.33
Step-by-step explanation:
Given that:
Mean (μ) = 73, standard deviation (σ) = 3.0
Z score is a measure in statistics to determine the number of standard deviation a value is above or below the mean of what is measured. If the value is above the mean it is positive but if it is below the mean it is negative. It is given by the equation:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
To calculate z-score for Umaima's exam grade, we need to calculate the z score of 72
For x = 72, the z score is:
[tex]z=\frac{x-\mu}{\sigma}=\frac{72-73}{3} =-0.33[/tex]
z = - 0.33
Answer:
−0.33
Step-by-step explanation:
just did it oh khan
find the missing angle in the triangle
Answers
Answer:
45
Step-by-step explanation:
Because this is an isosceles triangle, two of the angles must be equal. Since the third angle is 90 degrees, the other two must be 90/2=45 degrees. Hope this helps!
90/2=45
PLS HELP ME FULL WORK SHOWN DUE
Answers
To solve this system of equations, we have to cancel out a variable:
12x-4y+28=0
16y-110=48x
Reorder:
12x-4y=-28
-48x+16y=110
Multiply first equation by 4:
4(12x-4y=-28)
-48x+16y=110
=>
48x-16y=-112
-48x+16y=110
0x+0y=-2
0=-2
This can never be true, therefore there are NO SOLUTIONS
Answer:
No Solutions
16y-110=48x
3x-y=-7
16y-110=48x
3x-y=-7
24x-8y=-55
I will give you brainliest if you answer correctly!!
Answers
Answer:
The answer is B.
Step-by-step explanation:
The marked price of a water cooler is $ 4500. The shopkeeper offers an off-season discount of 18% on it. Find its selling price.
Answers
Answer:
$3690
Step-by-step explanation:
Let's first find what percent of the original price it is being sold for.
100%-18%=82%
The water cooler is being sold for 82% of its original price.
Let's now find 82% of 4500.
0.82*4500=3690
The selling price is $3690
Answer:
3690
Step-by-step explanation:
the original price is 4500
for decreasing or discount we use this formula x discount upo 100 multiply by the original price. so for this question if we apply the formula it will be
18upon 100 x4500. the answer comes as 810. noww we subtract the original price from the discounted price. so 4500-810=3690. comes as ur selling price
I need help with this please!
Answers
Answer:
The equation of a circle using the center [tex](2,0)[/tex] and the radius [tex]7[/tex]
[tex](x-2)^2+(y-0)^2= 49[/tex]
Step-by-step explanation:
-Directions:
To determine the following circle on a graph, you need the to look for a point that lands exactly on the center of the circle and to find the radius, you need look for a point that lands exactly on the outline of the circle and start counting from the center, to the point. Then, use both the center and the radius for the equation of a circle. After putting the center and radius on the equation of a circle, simplify the radius by the exponent [tex]2[/tex], because according to the equation of a circle, the radius is [tex]r^2[/tex].
-The equation of a circle
[tex](x-h)^2+(y-k)^2=r^2[/tex]
-Finding the center and the radius for the equation of a circle:
Center: [tex](2,0)[/tex] Radius: [tex]7[/tex]
[tex](x-2)^2+(y-0)^2= 49[/tex]
2x - 3 > 15 or 3 + 7x < 17
Answers
Answer:
2x-3>15 and 3-7x>17 =
3-7x>17
-7x>14
x<-2
Step-by-step explanation:
Sorry this is not a proper equation. I think you meant this equation.
2x-3>15 and 3-7x>17
for this equation the answer is
3-7x>17
-7x>14
x<-2
What is the numerator of the next term in the arithmetic sequence?
1/2 2/2 3/2 4/2
Answers
Answer:
5
Step-by-step explanation:
The numerator is the value on top, above the denominator. In an arithmetic sequence you are increasing by the same amount each time. In this case, you are increasing by 1/2 each time. 4/2 plus 1/2 is 5/2, so your numerator is 5.
asap-worth 25% of overall
Answers
Answer:
ummm
Step-by-step explanation:
what is the question
Are the graphs of the lines in the pair parallel ? Explain.
Y=2/3x-17
3-x - y = -6
A.)Yes, since the slopes are the same and the y-intercepts are different.
B.)No, since the slopes are different.
C.)No, since the y-intercepts are different.
D.)Yes, since the slopes are the same and the y-intercepts are the same.
Answers
So the right answer is of option D
Look at the attached picture
Hope it will help you...
Good luck on your assignment
Which values are solutions to the inequality below
Check all that apply
Answers
Angela is using a number cube for a game with faces labeled 1, 2, 3, 4, 5, and 6. Is the number cube fair? Explain why or why not.
Answers
Answer: Yes
Step-by-step explanation: It is equal because each side has a chance of it rolling on either 1,2,3,4,5, and 6.
Can someone help me and show how to write the perimeter equation for x to this polygon.50 points Find x for full 70 points
Answers
Answer:
10x + 8 = 21
x = 1.3
Step-by-step explanation:
a)
In pentagon ABCDE,
AB = DE = 2x + 3 and BC = CD = x + 1
Perimeter of pentagon ABCDE = 21
4x + 2(2x + 3) + 2(x + 1) = 21
4x + 4x + 6 + 2x + 2 = 21
[tex] \purple {\boxed {\bold{10x + 8 = 21}}} [/tex]
b)
10x = 21 - 8
10x = 13
[tex]x = \frac{13}{10} \\ x = 1.3 \: cm [/tex]
Which value in this data set is an outlier?
4,5, 1, 7,4,5,8,9,6,5,4,9,7
O A 1
OB. 2
3
OD
9
Answers
Answer:
1 is the out lier
Step-by-step explanation:
if you put them in order: 1, 4, 4, 4, 5, 5, 5, 6, 7, 7, 8, 9, 9
They are in order exept for the one.
After the dimensions of an equilateral triangle are increased by a scale factor of 2.5, the perimeter is 45 units. What were the side lengths of the original triangle?
Answers
Answer:
Original side of triangle = 6 units
Step-by-step explanation:
Given:
Perimeter = 45 units
Scale factor = 2.5 (Increase)
Find:
Original side of triangle = ?
Computation:
Original Perimeter = Perimeter / Scale factor
Original Perimeter = 45 units / 2.5
Original Perimeter = 18 units
Perimeter of an equilateral triangle = 3 (Side)
18 units = 3 (Side)
Side = 6 units
Original side of triangle = 6 units
how many solutions does : 3y = -6x + 9
y = -6x + 9
Answers
Answer:
Exactly 1 solution
Step-by-step explanation:
First we must disrupte3y+27=12y+13
Next we switch one number to the other side27=9y+13
Now we must switch the other number14=9y
Now we must solve by dividing 14 by 9y=1.555
This is one solution, so we now have our answer.
The equation has only one solution. Then the correct option is A.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equations are given below.
3y = -6x + 9
y = -2x + 3 ...1
y = -6x + 9 ...2
From equations 1 and 2, then we have
-2x + 3 = -6x + 9
4x = 6
x = 6/4
x = 1.5
Then the value of the variable 'y' is calculated as,
y = -2x + 3
y = -2(1.5) + 3
y = - 3 + 3
y = 0
The solution of the equation y = -2x + 3 and y = -6x + 9 will be (1.5, 0). Then the equation has only one solution. Then the correct option is A.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
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Alina has been collecting video games for a year. The table below shows how many games she has received over
the year.
Amount of video games
4
Birthday
Holidays
School trades
8
6
At the end of the year, she went to a store and sold half of her video games.
Which numerical expression shows the amount of video games Alina has left after selling half?
Choose 1 answer:
(4+8) + (6 + 2)
2 : (4 +8+6)
© (4+8+6) : 2
Answers
The numerical expression shows the amount of video games Alina has left after selling half will be (4 + 8 + 6):2. Then the expression C is correct.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Alina has been collecting video games for a year. The table below shows how many games she has received over the year.
Amount of video games
Birthday 4
Holidays 8
School trades 6
Then the total number of the video games will be
⇒ 4 + 8 + 6
At the end of the year, she went to a store and sold half of her video games.
⇒ (4 + 8 + 6) / 2
⇒ (4 + 8 + 6) : 2
Then the expression C is correct.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Find the volume of this figure
Answers
Answer:
74
Step-by-step explanation:
you find the volume of each one by doing length * width * height and once you find the volume of all of them which is 36, 2, 36 you add them all together and you get 74
Answer:
74 ft
Step-by-step explanation:
Volume = length x width x height
For the 1st square - 3 x 3 x 4
For the rectangle in the middle - 1 x 1 x 2
For the last big square - 3 x 3 x 4
___________________________________
3 x 3 x 4 = 36
3 x 3 x 4 = 36
1 x 1 x 2 = 2
___________________________________
36 + 36 + 2 = 74
___________________________________
The volume of this figure is 74 ft
Please mark me as brainliest!!!
f(x) = 5x^2 - x + 8
g(x) = 9x - 1
Answers
Answer:
Step-by-step explanation:
But there is not a question?
Percentages equal to 100% and how?
Answers
Answer:
2 or more percents add up to 100% or one percent is 100%
Step-by-step explanation:
Is this SAS or Not SAS
Answers
Answer:
yes it is sas
Step-by-step explanation:
because one side is shared, they both have right angles and the other side is a given.
Answer:
SAS
Step-by-step explanation:
The sides are all equivalent so it is indeed a SAS triangle.
What is the area of the base of a cylinder with a volume of 174π in.3 and a height of 12 inches?
Answers
Answer:
The area of the base is 14.5π in²
Step-by-step explanation:
The volume of a cylinder is given by
Volume =base\:area \times height
Or
V=Bh
It was given that the volume of the cylinder is 174π in³.
The height was given as 12 inches.
We substitute to get,
174π=12B
Divide both sides by 12 to get:
B=14.5π in²
Hence the area of the base is 14.5π in²
Hope this helpsBrainliest plzand have a wonderful dayAnswer:
area of base = 14.5π in²
Step-by-step explanation:
the area of the base of a cylinder with a volume of 174π in^3 and a height of 12 inches is found by applying the formula for the volume of a cylinder:
V = πr²h
Here the area of the base of a cylinder with a volume of 174π in³ and a height of 12 inches, and so:
V = πr²(12 in) = 174 π in³
Dividing both sides by 12 in isolates πr², which is the area of the base:
174π in³
area of base = πr² = --------------- = 14.5π in²
12 in
Caelan has $ 7,500 in an account that earns 3.2% compounded interest annually. If she doesn't touch the money, how much will it be after 5 years?
Answers
7500(1+0.032)5=
1.032 to the power of 5= 1.171
7500x 1.171=8,782
Enter the value of the 8 in the following number. 438.13
Answers
Answer:
8
Step-by-step explanation:
It is in the one's place, so it is just 8x1, which is 8
What is the measure of angle x
Answers
Answer:
x =83
Step-by-step explanation:
supplementary angles add to 180 degrees
x+y = 180
We know y is 97
x+97= 180
Subtract 97 from each side
x+97-97= 180-97
x =83
Answer:
It is 83
Step-by-step explanation:
Supplementary is 180 degrees
180-97=83
The set of data has a median of 51. Find the value of x.
30, 35, x, 100
Answers
Answer:67
Step-by-step explanation:
A circle with circumference 6 has an arc with a
340º central angle.
Answers
Answer:
17.80236
Step-by-step explanation:
I NEED HELP PLZZZZZZ!!! I NEED TO WRITE SOMETHING...……..
Bob withdrew money from an ATM, put the receipt in an envelope, and filled in the information in his check register.
Explain why it is important for Bob to keep the receipt and record the information in his check register.
Answers
Answer:
It is important for bob to keep the receipt and record in the register so he can monitor how much money he has in the account. It prevents being overdrawn. Recording debits and deposits helps with budgeting.
