Answers
The expression that is equivalent to the given expression, (8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y), is 8x²y² - 15x²y + xy² + 5y
Determining equivalent expressionsFrom the question, we are to determine the expression that is equivalent to the given expression.
The given expression is
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
To determine the expression that is equivalent to the given expression, we will simplify the given expression.
Simplifying the expression
(8x²y² - 9x²y + 9y) - (6x²y - xy² + 4y)
Clear the parentheses by applying the distributive property
8x²y² - 9x²y + 9y - 6x²y + xy² - 4y
Collect like terms
8x²y² - 9x²y - 6x²y + xy² - 4y + 9y
Simplify
8x²y² - 15x²y + xy² + 5y
Hence, the equivalent expression is 8x²y² - 15x²y + xy² + 5y
Learn more on Equivalent expressions here: https://brainly.com/question/723406
#SPJ1
Related Questions
A circle with a radius of 4 in. Is dilated by a scale factor of one-half. What will be the circumference of the circle after dilation?.
Answers
The circumference of a circle after dilation will be 12.56 in.
What is the circumference of a circle?
The overall length of the circle's boundary is referred to as the circumference. The circumference of a circle is its edge or the measurement of its entire arc.
The formula for the circumference of a circle is given:
Circumference of a circle = 2πr
Given, the radius of a circle = 4 in.
The radius after dilatation by a scale factor of one-half (1/2), then
new radius = (1/2)*4 = 2 in.
So, circumference of a circle = 2π * (new radius)
= 2*3.14*2
= 12.56 in.
Hence, the circumference after dilation is 12.56 in.
To learn more about the circumference of a circle
https://brainly.com/question/9743342
#SPJ4
Give a number in the form of a/b o that when it i divided by 100, the reult would be 0. 014 (write in fraction in reduce form)
Answers
The reduced form of the fraction would be 2.8/2.
What is a fraction?
A fraction is a portion of a whole or, more broadly, any number of equal parts. In everyday English, a fraction describes the number of parts of a specific size, such as one-half, eight-fifths, or three-quarters.
Given that a/b is a fraction and when it is divided by 100 it will result in 0.014.
So we can write,
[tex]\frac{\frac{a}{b} }{100}=0.014\\\\ \frac{a}{b}=0.014*100\\\\\frac{a}{b}=1.4\\[/tex]
Now 1.4 can be written as
a/b = 2.8/2
Hence, the reduced form of the fraction would be 2.8/2.
To learn more about reduced fractions, visit:
https://brainly.com/question/78672
#SPJ4
The Johnson twins were born eight years after their older sister.
This year, the product of the three siblings' ages is exactly
1422 more than the sum of their ages. How old are the twins?
Answers
The age of the twins is 9 if the Johnson twins were born eight years after their older sister.
What are ages?When a ratio, such as p:q, is used to express age, qx and px are taken into account. The current age will be (xn) years if you assume the current age to be x. If you're assuming that x is the age you are now, then 1/n of your age will be equivalent to (x/n) years.
What are known as age problems are one use for linear equations. The ages of two separate persons (or objects), both present and future (or past), are typically compared for solving age-related problems. These issues typically seek to determine the current age of each subject.
Let the age of twins be x
The age of older sister be x+8
x(x)(x+8) = x + x + (x+8)+1422
x²(x+8) = 3x+1430
x³+8x² = 3x+1430
x³+8x²- 3x-1430=0
x=9.2045≈9
Therefore, the age of the twins is 9
To know more about ages, visit:
https://brainly.com/question/14159240
#SPJ1
y>4x-3
What are three solutions for the inequality?
*Remember solutions are found in the shaded area or on a solid line (points on a dashed line are not a solution).
Answers
The three points which correctly represents a solution to the given inequality are;
1. (1, 2)2. (1, 3)3. (1, 4)What are three points which correctly represents a solution to the given inequality?It follows from the task content that the points which are solutions to the given inequality bare to be determined.
Since the given inequality as in the task content is; y > 4 x - 3.
By evaluating the inequality at one x-value of x = 1.
We have ;
y > 4 ( 1 ) - 3
y > 4 - 3
y > 1.
Therefore, the possible values of y which are greater than 1 are; 2, 3, and 4.
On this note, it is correct to conclude that the points which are solutions to the given inequality are; ( 1, 2 ), ( 1, 3 ) and ( 1, 4 ).
Read more on solutions of inequalities;
https://brainly.com/question/11613554
#SPJ1
Write an inequality that could be used to represent all solutions for x: the quotient of a number and three minus twelve is less than 12
Answers
We can write the given statement as inequality as -
-(x/9) < 12
What is linear inequality? What is the law of Reversal and law of Trichotomy? What is the general equation of a Straight line?Linear inequalities are defined as expressions in which two linear expressions are compared using the inequality symbols.
y > mx + cy < mx + cy ≥ mx + cy ≤ mx + cReversal property : If (a > b) then (b < a) and if (a < b) then (b > a).
Law of Trichotomy : The "Law of Trichotomy" says that - only one of the following is true : (a < b) or (a = b) or (a > b).
The general equation of a straight line is y = mx + c
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}x/a + y/b = 1 {intercept form}x cos(β) + y sin(β) = L {Normal form}We have the following statement -
"the quotient of a number and three minus twelve is less than 12".
We can write the inequality as -
-(x/9) < 12
Therefore, we can write the given statement as inequality as -
-(x/9) < 12
To solve more questions on straight line inequalities, visit the link below-
brainly.com/question/20400984
#SPJ1
The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude) What is the slope of the line? Interpret the slope The latitude changes by 90.4 for every change of temperature The temperature changes by 1.23 for every change of one latitude A one degree increase of temperature is a 1.23 drop in latitude O To get 90.4 more degrees of temperature you must climb one degree of latitude If you climb 90.4 degrees of latitude you will get an increase of one degree in temperature O An increase of one latitude is a 1.23 drop in temperature Estimate the mean August temperature for a city with latitude of 22. Use 2 decimal places San Francisco has a latitude of 39. What would you predict for the mean August temperature of San Francisco? Use 2 decimal places Given that the mean August temperature in San Francisco is actually 69 calculate the residual (prediction error) for San Francisco It should be observed minus predicted. If you do it wrong your answer have the positive and negative switched Use 2 decimal places The latitude at the equator is 0. Estimate the average August temperature at the equator. Use 1 decimal place
Answers
In the given regression equation, the slope of the line is - 1.23.
Regression equation:
in statistics, regression equation means the mathematical expression of the relationship between a dependent variable and one or more independent variables that results from conducting a regression analysis.
Given,
The average August temperatures (y) and geographic latitudes (x) of 12 cities in the United States were studied. The regression equation for these data is Temperature 90.4 -1.23*(latitude)
Here we need to the slope of the line.
While we looking into the given regression equation,
Temperature = 90.4 - 1.23x(latitude)
While we compare this one with the general slope of the line equation,
y = mx + c
where m refers the slope of the line.
Then we get the value of slope as -1.23.
To know more about Regression equation here.
https://brainly.com/question/14184702
#SPJ4
Which of the following is the graph of the linear inequality, 5x - 2y < 16?
Is C or D my answer?
Answers
Answer: Answer C is correct. :)
Step-by-step explanation:
what percent is 17 out of 40?
Answers
Answer:
below
Step-by-step explanation:
17/40 * 100 % = 42.5 %
Answer:
42.5%
Step-by-step explanation:
to get 40 (denominator) to 100, you need to multiply 40 by 2.5times.
so, multiply 17 (numerator) too: 17 times 2.5 = 42.5
42.5 percent is your answer
Four more than twice the sum of a number and three is negative 5
Answers
Answer: It is A
Step-by-step explanation:
Estimate a 5 % tip on a bill of 83.46 by first rounding the bill amount to the nearest ten dollars.
Answers
The estimate of a 5 % tip on a bill of 83.46 by first rounding the bill amount to the nearest ten dollars is; 4 dollars.
What is the estimate of a 5% tip in a bill of 83.46 as required?It follows from the task content that the estimate of a 5 % tip on a bill of 83.46 by first rounding the bill amount to the nearest ten dollars is to be determined.
First, the bill amount; 83.46 must be rounded to the nearest ten dollars so that we have;
83.46 which is approximately; 80 dollars when rounded to the nearest ten.
Therefore, 5% of the required bill is; (5/100) × 80
= 4 dollars.
Therefore, the required estimate of the tip is; 4 dollars.
Read more on percentages;
https://brainly.com/question/24877689
#SPJ1
(3×2)×8 = k×(8×3) what dose the k stand for
Answers
Answer:
k=2
Step-by-step explanation:
if you look at the first equation the things being multiplied are 3, 2 and 8 and in the other side it’s 8 and 3 and since only 1 is missing on the other side k is 2 or you can do it like this below
(3x2)x8=k x(8 x3)
6 x 8= k x 24
48= k x 24
/24. /24
2=k
Hopes this helps please mark brainliest
Answer:
[tex]\sf k=2[/tex]Step-by-step explanation:
[tex]\sf \left(3\times \:2\right)\times \:8=k\left(8\times \:3\right)[/tex]
[tex]\sf k\left(8\times \:3\right)=\left(3\times \:2\right)\times \:8[/tex]
Remove parentheses:-
[tex]\sf k\left(8\times \:3\right)=3\times \:2\times \:8[/tex]
Multiply numbers:-
[tex]\sf \:3\times \:2\times \:8=\bf 48[/tex]
[tex]\sf k\left(8\times \:3\right)=48[/tex]
Multiply numbers:-
[tex]\sf 8\times \:3=\bf 24[/tex]
[tex]\sf k\times \:24=\bf 24k[/tex]
[tex]\sf 24k=48[/tex]
Divide both by 24:-
[tex]\sf k=2[/tex]
_____________________
Hope this helps!
Have a great day!
Help please help help please help help me
Answers
Answer:
103
Step-by-step explanation:
angle 1 and angle 5 are the same as each other.
Here is the histogram of a data distribution. All class widths are 1. Which of the following numbers is closest to the mean of this distribution?
A. 5
B. 2
C. 3
D. 4
E. 10
Answers
On solving the given problem, The value of the median of the distribution is closest to 5.
The median is what?In order to visualize data, a histogram is used. The width and area of each rectangle in the histogram are proportional to the class interval and data frequency, respectively.
When a dataset is sorted in either ascending or descending order, the median is the value that appears in the middle of the dataset.
Ascending numbers are listed in the following order:
2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7, 8, 9
Median is - 5
To know more about median visit:
https://brainly.com/question/28060453
#SPJ4
Tell whether the lines for the pair of equations are parallel, perpendicular or neither
y=5x+12
y=5x-1.3
Answers
The pair of lines given are parallel to each other.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have the following pair of lines -
y = 5x + 12
y = 5x - 1.3
Since the slope of lines are same, both of these lines are parallel to each other.
Therefore, the pair of lines given are parallel to each other.
To solve more questions on straight lines, visit the link below-
brainly.com/question/20400984
#SPJ1
The maintenance department of a manufacturing company is a(n)
A. investment center.
B. segment.
C. cost center.
D. profit center.
Answers
The maintenance department of a manufacturing company is a cost center that generates costs and indirectly contributes to sales. A cost center is an area or department that does not contribute significantly to direct sales. Production company maintenance centers support the operation and operations of factories and offices. Since there is no direct revenue, maintenance centers are considered cost centers for production operations.
The explanation for incorrect answers:
Option A: This option is incorrect because the maintenance department does not provide a core return on investment.
Option B: A business segment is a department identified by another product, service, or geographic area, so the maintenance department does not qualify as a segment.
Option D: A profit center is a center that directly generates revenue, like a sales department.
23. Lisa has 240 stickers. She gave of it to Leela,to Pamela and kept the rest. How many stickers has Lisa now?
Answers
Answer: I think you forgot the number to subtract by.
Step-by-step explanation:
Melissa is planning to rent out a limo for her friends and herself for prom. Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile traveled. If Melissa aid the limousine driver $200 for prom, how many miles did she travel that night?
Answers
The number of miles Melissa travelled that night is approximately 667 miles.
How to find the distance travelled by Melissa?Melissa is planning to rent out a limo for her friends and herself for prom.
Limousine rates charge a 450 flat rate plus an additional 30 cents for every mile travelled.
Melissa aid the limousines driver $200 for prom. The number of miles she travel can be calculated as follows;
using equation,
y = 450 + 0.3x
where
x = number of miles travelledy = total costTherefore,
200 + 450 = 450 + 0.3x
650 = 450 + 0.3x
650 - 450 = 0.3x
200 = 0.3x
x = 200 / 0.3
x = 666.666666667
x = 667 miles
learn more on equation here: https://brainly.com/question/29031411
#SPJ1
Factor the expression completely over the complex numbers. Y^4+14y^2+49
the answer is ((y+i√7)(y-i√7))^2
Am I right
Answers
Factors over the complex numbers for the given expression y⁴ + 14y² + 49 is equal to [ ( y + i√7) (y - i√7 ) ]² .
As given in the question,
Given expression is :
y⁴ + 14y² + 49
Simplify the given expression to get the factors of it , we get ,
y⁴ + 14y² + 49
= y⁴ + 2 ( 7 )y² + ( 7 )²
= ( y² + 7 )²
Now convert the factors into complex numbers ,
= [ y² - (-1)(√7)²]²
We know that ( -1 ) = i²
= [ y² - ( i√7)² ]²
= [ ( y - i√7 )( y + i√7) ]²
Therefore, the complex numbers factors of the given expression is equal to [ ( y - i√7 )( y + i√7) ]².
Learn more about complex numbers here
brainly.com/question/20566728
#SPJ4
(pythagorean theorem mc) a tent pole that is 5 feet tall is secured to the ground with a piece of rope that is 13 feet long from the top of the tent pole to the ground. determine the number of feet from the tent pole to the rope along the ground. 12 feet 8 feet 25 feet 30 feet
Answers
Using the Pythagorean Theorem, the number of feet from the tent pole to the rope along the ground is 12 feet.
In the given question we have to determine the number of feet from the tent pole to the rope along the ground.
From the question;
A tent pole that is 5 feet tall is secured to the ground with a piece of rope that is 13 feet long from the top of the tent pole to the ground.
So the value of Hypotenuse(H) = 13 feet
Perpendicular(P) = 5 feet
Using the Pythagorean Theorem
H^2=P^2+B^2
Putting the value
(13)^2=(5)^2+(B)^2
169 = 25+B^2
Subtract 25 on both side, we get
B^2=169-25
B^2=144
Taking square root on both side, we get
B=12
Hence, the number of feet from the tent pole to the rope along the ground is 12 feet.
To learn more about Pythagorean Theorem link is here
brainly.com/question/14930619
#SPJ4
a football team lost the same number of yards on each of three consecutive plays what is the total change in yards from where the team started
Answers
Answer:
-3x, where x is the number of yards lost on the first play.
Step-by-step explanation:
57,624 divided by 46 and I have to show my work
Answers
Answer: 122 12/46 OR 122 R 12 OR 1252.69565
Step-by-step explanation:
m = y2-y1 X2-X1 Find the slope of the line that passes through these two points. Simplify completely. (3,4) (5,5) m 8
Answers
Answer: 1/2
Step-by-step explanation:
m= 5-4
5-3
=
1/2
Janell bought 2 __ 3 4 pounds of peaches and 3 __ 5 8 pounds of oranges. How many pounds of fruit did Janell buy?
Answers
Answer: 6 and 3/8
Step-by-step explanation:
2 3/4 + 3 5/8=?
Find LCM of the 2 numbers
LCM is 8
Multiply 2 to 3/4 in 2 3/4
2 6/8 + 3 5/8
Add whole numbers
2 + 3 = 5
Add the fractions itself
6/8 + 5/8 = 11/8
11/8 = 1 3/8
Combine whole numbers and fractions
5 + 1 + 3/8
6 3/8
It cost Juan $7.30 to send 73 text messages. How many text messages did he send if he spent $10.20?
Answers
Answer:
102
Step-by-step explanation:
First, divide 7.30 by 73 to find how much 1 text message costs. We get 0.1. Next, divide 10.20 by 0.1, which gives us the final answer of 102.
Answer:
99 text messages
Step-by-step explanation:
$7.50 = 73
÷73 ÷73
---------------------
amount to = $0.102739726
send one text
0.102739726x = $10.20
÷0.102739726 ÷0.102739726
-------------------------------------------------
x ≈ 99.28
I hope this helps!
What is the quotient startfraction 2 m superscript 9 baseline n superscript 4 baseline over negative 4 m superscript negative 3 baseline n superscript negative 2 baseline endfractionin simplest form? assume m not-equals 0, n not-equals 0.
Answers
The given expression's quotient is [tex]-\frac{m^{12}n^6}{2}[/tex].
Exponential expressions are simply a shorthand way of writing powers. The exponent indicates how many times that base has been used as a factor to multiply. So, in the case of 32, it is 2x2x2x2x2x2 = [tex]2^5[/tex], where 2 is the "base" and 5 is the "exponent." This expression is translated as "two to the fifth power." In general, an=axaxax...xa(n times), where 'a' is the base and 'n' is the exponent, will be read as "a to the nth power."
Given that the exponential expression is [tex]\frac{2m^9n^4}{-4m^{-3}n^{-2}}[/tex]
The given expression's quotient is
[tex]=\frac{2m^9n^4}{-4m^{-3}n^{-2}}\\\\\frac{1}{a^x}=a^{-x}\\\\=\frac{m^9n^4m^{3}n^{2}}{-2}\\\\=\frac{m^{9+3}n^{4+2}}{-2}\\\\=\frac{m^{12}n^6}{-2}\\\\=-\frac{m^{12}n^6}{2}[/tex]
As a result, the given expression's quotient is[tex]-\frac{m^{12}n^6}{2}[/tex].
To learn more about exponents refer here
https://brainly.com/question/219134
#SPJ4
2(x-4 1/2)=-6.1 hellllllppppp meeeee
Answers
Answer:
[tex]x=1.45[/tex]
Step-by-step explanation:
[tex]2\left(x-4 \frac{1}{2} \right)=-6.1 \\ \\ 2\left(x-\frac{9}{2} \right)=-6.1 \\ \\ 2x-9=-6.1 \\ \\ 2x=2.9 \\ \\ x=1.45[/tex]
A box with an open top has vertical sides, a square bottom, and a volume of 108 cubic meters. If the box has the least possible surface area, find its dimensions.
Answers
The box's dimensions are 3 × 6 × 6.
What are dimensions?The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics.
So, let 'a represent the box's height and 'b' represent one of the box's base sides.
Then,
Volume = ab² = 108
a = 180/b² ...(1)
The box's surface area is now:
SA = b² + 4ab ...(2)
We get from equations (1) and (2):
SA = b² + 4 × (180/b²) × b
SA = b² + 432/b ...(3)
Using equation (3) to differentiate for the smallest surface area possible, we obtain:
d(SA)/db = 2b - 432/b² ....(4)
Now solve for zero in equation (4) to get:
2b - 432/b² = 0
b³ = 216
b = 6m
When we now enter the value of b into equation (1), we obtain:
a = 3 m
the box's dimensions are 3 × 6 × 6.
Therefore, the box's dimensions are 3 × 6 × 6.
Kow more about dimension here:
https://brainly.com/question/19819849
#SPJ4
solve the inequality $\frac{29}{289z<\frac{16}{161}z$. try to solve the problem without doing a lot of messy computations!
Answers
The solution to the given inequality as represented in the task content are; z < - 1.00485413 OR z > 1.00485413.
What is the solution to the given inequality?It follows from the task content that the solution of the given inequality; ( 29 / 289z ) < ( 16 / 161 ) z is to be determined.
Since the given inequality is;
( 29 / 289z ) < ( 16 / 161 ) z
By cross multiplication; we have;
161 × 29 < ( 16z × 289z )
( 161 × 29 ) / ( 16 × 289 ) < z²
1.00973183 < z²
Therefore;
1.00485413 < z. OR. -1.00485413 > z.
Ultimately, z < - 1.00485413 OR z > 1.00485413.
Read more on inequalities;
https://brainly.com/question/25275758
#SPJ1
The length of a
rectangular garden is
three feet less than twice
its width. If the perimeter
of the garden is 42 feet,
what is its length?
Systems word problems
Answers
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
Answer:
The length will be 13 feet.
Step-by-step explanation:
Let the width be represented by w.
Based on the information given, the length will be:
= (2 × w) - 3
= 2w - 3
Therefore, the perimeter will be:
2(w) + 2(2w - 3) = 42
2w + 4w - 6 = 42
6w = 42 + 6
6w = 48
w = 48/6
w = 8
Therefore, the length will be:
L = 2w - 3
L = 2(8) - 3
L = 16 - 3
L = 13 feet
The length is 13 feet.
2 websites sell the same type of headphone cost of headphone in website A is 49.95 and the postage is 4.39. The headphones in website B is 47.68 and the postage is 6.95. Including the postage which website is cheaper and by how much
Answers
Answer:
Website A is cheaper by 29 cents
Step-by-step explanation:
A
49.95 + 4.39 = 54.34
B
47.68 + 6.95 = 54.63
54.63 - 54.34 = 0.29
Answer:
the difference is 0.29 cents
website A is cheaper
Step-by-step explanation:
(47.68 + 6.95) - (49.95 + 4.39)
54.63 - 54.34 = 0.29
