Answer:
[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]
Step-by-step explanation:
[tex]( \frac{x}{y} + \frac{y}{x - 1} ) + ( \frac{ {x}^{2} }{ {y}^{2} } - \frac{x}{y + 1} )[/tex]
[tex] \frac{xy \times (x - 1) \times (y + 1) + {y}^{3} \times (y + 1) + {x}^{2} \times (x - 1) \times (y + 1) - {xy}^{2} \times (x - 1)}{ {y}^{2} \times (x - 1) \times (y + 1)} [/tex]
[tex]\frac{( {x}^{2} y - xy) \times (y + 1) + {y}^{4} + {y}^{3} + ( {x}^{3} - {x}^{2} ) \times (y + 1) - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{2} - {y}^{2} ) \times (y + 1)}[/tex]
[tex] \frac{ {x}^{2} {y}^{2} + {x}^{2} y - {xy}^{2} - xy + {y}^{4} + {y}^{3} + {x}^{3} y + {x}^{3} - {x}^{2}y - {x}^{2} - {x}^{2} {y}^{2} + {xy}^{2} }{( {xy}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} ) } [/tex]
[tex] = \frac{ - xy + {y}^{4} + {y}^{3} + {x}^{3}y + {x}^{3} - {x}^{2} }{x {y}^{3} + {xy}^{2} - {y}^{3} - {y}^{2} } [/tex]
Answer:
2
Step-by-step explanation:
please help me is for my homework
Answer:
33.33%
Step-by-step explanation:
do divide 3÷9 and that is .333333333
and to convert a decimal to a percent you move the dot two number back so you get 33.33%
You’re given two side lengths of 10 centimeters and 8 centimeters. The angle between the sides measures 40°. How many triangles can you construct using these measurements?
Answer:
1
Step-by-step explanation:
Once you have two sides and the included angle, there is only one triangle.
Answer: 1
Answer:
The answer is B. 1
Step-by-step explanation:
I hope I helped
Drag the tiles to the correct boxes to complete the pairs.
Simplify the mathematical expressions to determine the product or quotient in scientific notation. Round so the first factor goes to the tenth
place.
HELP PLEASE!!!!!!
Answer:
Ans ; 1) 7.8 , 2) 3.3×10³ , 3) 2.1 ×10‐³ , 4) 3.7
I hope I helped you^_^
In recent years, only 79% of the fruit sold at Fred's Fruit stand has been any good. Fred recently started buying fruit from new farmers and wants to know if there is a statistically significant increase in the percentage of good fruit. In a random sample if 475 pieces, 85 were bad. How would the conclusion change if the significance level went from 7% to 5%?
Answer:
The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.
Step-by-step explanation:
79% of the fruit sold at Fred's Fruit stand has been any good. Test if there has been an increase.
At the null hypothesis, we test if there has been no increase, that is, the proportion is still of 79%, so:
[tex]H_0: p = 0.79[/tex]
At the alternative hypothesis, we test if there has been an increase, that is, more than 79% being good, so:
[tex]H_1: p > 0.79[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.79 is tested at the null hypothesis:
This means that [tex]\mu = 0.79, \sigma = \sqrt{0.79*0.21}[/tex]
In a random sample if 475 pieces, 85 were bad.
So 475 - 85 = 390 were good, and:
[tex]n = 475, X = \frac{390}{475} = 0.8211[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.8211 - 0.79}{\frac{\sqrt{0.79*0.21}}{\sqrt{475}}}[/tex]
[tex]z = 1.66[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.8211, which is 1 subtracted by the p-value of Z = 1.66.
Looking at the z-table, z = 1.66 has a p-value of 0.9515.
1 - 0.9515 = 0.0485
The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.
The diameter of a circle is 7 m. Find its area to the nearest tenth.
Area = pi x r^2
R = 7/2 = 3.5
Area = 3.14 x 3.5^2
Area = 38.5 m^2
Use the distributive property to write the expression without parentheses 6(7a+6)
Answer:
42a+36
Step-by-step explanation:
6(7a+6)
Distribute
6*7a + 6*6
42a+36
Answer:
42a + 36
Step-by-step explanation:
how do you solve this
Answer:
yo what concept is this
Step-by-step explanation:
ASAP!! PLEASE Will mark the brainliest answer If a + b = 7 and ab = 12, then find the value of a2- ab+ b2 and a3+b3
Answer:
13 and 91
Step-by-step explanation:
(a + b)² = a² + 2ab + b² , substitute values
7² = a² + 2(12) + b²
49 = a² + 24 + b² ( subtract 24 from both sides )
25 = a² + b²
Then
a² - ab + b²
= a² + b² - ab , substitute values
= 25 - 12
= 13
-------------------------------------------
a³ + b³ = (a + b)(a² - ab + b²) ← substitute values
a³ + b³ = 7 × 13 = 91
Simplify
3m + 3
What is the answer please
[tex]\rm \large \implies \: \: 3m \: + \: 3m[/tex]
[tex]\rm \large \implies \: \: 6m[/tex]
Answer:
6m
Step-by-step explanation:
those are like terms so you just have to add them
3m+3m=6m
i hope this helps
PLEASE HELP ME WITH THIS MATH QUESTION!
Answer:
C
Step-by-step explanation:
First, let's say 4³ is a and 5⁻² is b. We know that (a/b)ⁿ = aⁿ/bⁿ for any n, so
(a/b)⁵ = a⁵/b⁵
= (4³)⁵ /(5⁻²)⁵
Next, one power rule states that (4³)⁵ = 4 ⁽³ˣ⁵⁾ = 4¹⁵ and (5⁻²)⁵ = 5 ⁽⁻²ₓ⁵⁾=5⁻¹⁰, so
(4³)⁵ /(5⁻²)⁵ = 4¹⁵ / 5⁻¹⁰
Next, anything to a negative power (e.g. x⁻ⁿ) is equal to 1 over the absolute value of the power, so x⁻ⁿ = 1/xⁿ. Applying that here, we can say that
5⁻¹⁰ = 1/5¹⁰
4¹⁵ / 5⁻¹⁰ = 4¹⁵ / (1/5¹⁰) = (4¹⁵/1) / (1/5¹⁰) = 4¹⁵ * 5¹⁰
find the missing side lengths answers are in simplest radical form with the denominator rationalized.
Answer:
Option B is the answer
Step-by-step explanation:
x= 8, y=4√2
We know from pythagorean's law
(Hypotenuse) ^2 = (base)^2 + (height) ^2
I’ll give brainlist to whoever is right!!!
Answer: Choice C
(-19/2, -33/2)
=========================================================
Explanation:
We'll plug the second equation into the first one
In other words, we'll replace every copy of y with 3x+12 and solve for x
This is an example of the substitution rule.
x-y = 7
x-( y ) = 7
x - (3x+12) = 7
x - 3x - 12 = 7
-2x - 12 = 7
-2x = 7+12
-2x = 19
x = -19/2
Based on this alone, we can see the answer must be choice C. No other answer choice has this x coordinate.
-----------------------------------
If you want to find y based on this x value, then,
y = 3x+12
y = 3(-19/2)+12
y = -57/2 + 12
y = -57/2 + 24/2
y = (-57+24)/2
y = -33/2
This fully confirms choice C is correct.
So we have x = -19/2 and y = -33/2 pair up to get us (-19/2, -33/2)
In decimal form, this would be (-9.5, -16.5)
Answer:
3. (-19/3, -33/2)
You have to make a equation system :
[tex]\left \{{{x - y = 7} \atop { y = 3x + 12}} \right. <=> \left \{{{y = x - 7} \atop { y = 3x + 12}} <=> x-7 = 3x + 12 <=> 3x -x = -7 - 12 <=>[/tex] [tex]2x = -19 <=> x = -19/2[/tex]
Replacing x=-19/2 in the first equation (it's the easiest to solve) :
[tex]y = -19/2 - 7 <=> y =-19/2- 14/2 <=> y = -33/2[/tex]
A student was given two data sets, Set A and Set B. Which of the following
statements is true?
Set A
-1
0
1
2
3
50
75
100
150
125
Set B
X
-1
0
1
2
3
0.60
3
15
75
375
A. Set A is a linear function and the values increase at the same rate
as Set B.
B. Set B is an exponential function and the values increase at a
faster rate than Set A.
C. Set A is a linear function and the values increase at a faster rate
than Set B
D. Set B is an exponential function and the values increase at the
same rate as Set A.
PREVIOUS
Answer:
b) is the correct option
Find the length of the third side. If necessary, round to the nearest tenth. 10 14
Answer:
9.8 units
Explanation:
According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.
Let the third side be x units.
Then,
x² + 10² = 14²
=> x² + 100 = 196
=> x² = 196 - 100
=> x² = 96
=> x = √96
=> x = 4√6
=> x = 9.79....
=> x = 9.8 (Rounding to the nearest tenths)
So, the length of the third side is 9.8 units.
Click on the sentence that represents the following equation.
m - 15 = 22
A. The difference of a number and 15 is equal to 22.
B. A number plus 15 is equal to 22.
C. A number increased by 15 is equal to 22.
Answer:
A.
Step-by-step explanation:
'The difference' means minus or subtraction. 'plus' and 'increased' are both for addition.
Brainliest please!
Find the value of x in simular triangles
Answer:
the x value is 12
Step-by-step explanation:
similar triangles have proportionate sides,
20/ 15 = x/ 9, if you cross multiply this, then you get x= 12
The formula for the volume of a cylinder with a height of 5 units is V(r)=5 pi r^2 where r is the radius of the cylinder. What is the domain and range of this function?
a. r < 0, V(r) < 0
b. r > 0, V(r) < 0
c. r < 0, V(r) > 0
d. r > 0, V(r) > 0
Answer:
d. r > 0, V(r) > 0
Step-by-step explanation:
The radius represent a measure of lenght and the volume a measure of space, and both, lenght and space, cannot be negative, so both have to be > 0
If f(x)=7 find x=-3
A.4
B.-3
C.7
D.-4
Answer: the answer to your question is 7
Step-by-step explanation:
Consider the following points. (−4, −1) and (4, 2) Let Y'O' be the image of YO after a reflection across line . Suppose that ′ is located at (1, 4) and ′ is located at (−2, −4). Which of the following is true about line ?
The line was reflected about the line y = -x.
-----------------------------------------
This question is solved using reflection concepts.
There are various kinds of reflections, 90º clockwise about the origin, 90º counterclockwise, among other, and each of them has a rule.
-----------------------------------------
In this question:
Point (-4,-1) became (1,4).Point (4,2) became (-2,-4).From this, we have the following rule: (x,y) -> (-y,-x)
Checking the rules, it can be said that the line was reflected about the line y = -x.
A similar question can be found at https://brainly.com/question/16130908
What is 3/8 of 200?
pls show work
35 POINTS!!!
Answer:
The answer is 75
Step-by-step explanation:
3/8*200=75.
Round 332.749 to:
tens
and
hundredths
Answer:
To the nearest ten, 330 would be the answer
To the nearest hundredth, the answer would be 332.75
Step-by-step explanation:
I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)
(-6127) + _____. = (-6127)
(+18) + _____ = (+20)
(+27) - ____ = (+20)
(+63) + _____= (+50)
(+21) - _____ = (+17)
Answer:
(-6127) + 0 = (-6127)
(+18) + 2 = (+20)
(+27) - 7 = (+20)
(+63) + (-13) = (+50)
(+21) - 4 = (+17)
Step-by-step explanation:
Rohan is 2 years elder than rohit. Five years ago , one third of his age was equal to three-sevenths of rohit's age. Clalculate their present ages. pl tell with explanation
Answer:
I hope it will help you.
have a great day . ☺☺
Answer:
Step-by-step explanation:
Let Rohan age = xLet Rohit age =yx = y + 2
(1/3)* (x - 5 ) = (3/7)(y - 5) Multiply both sides by 3
(x - 5) = 9/7 (y -5) Multiply both sides by 7
7(x - 5) = 9(y - 5) Remove the brackets
7x - 35 = 9y - 45 Add 45 to both sides
7x + 10 = 9y
y = x - 2
7x + 10 = 9(x - 2)
7x + 10 = 9x - 18
7x +10 + 18 = 9x
28 = 2x
x = 14
y = 14 -2
y = 12
what are the coordinates of vertices of quadrilateral ABCD? use the coordinates to find the length of DA.
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Need help ASAP ???
We can conclude that the length of DA is 6.
For a quadrilateral defined as ABCD, the vertices of the quadrilateral are the points in the name, so the four vertices are the points A, B, C, and D.
These are given, so we know that the vertices are the points:
A(-5,-4)
B (1,4)
C(4,0)
D(1,-4)
Now we want to find the length of DA, this is the distance between points D and A.
Remember that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Then for the case of the points:
A (-5, -4) and D (1, -4)
the distance is given by:
[tex]d = \sqrt{(1 - (-5))^2 + (-4 - (-4))^2} = \sqrt{(1 + 5)^2} = 6[/tex]
Then we can conclude that the length of DA is 6.
If you want to read more, you can see:
https://brainly.com/question/12040665
Given that v=√u*u- 2qs. Make q the subject of the equation. Find the value of q in the equation if v=8, u=12, and s=40
Answer:
Step-by-step explanation:
v=√u*u- 2qs
[tex]\sqrt{20}[/tex] x 20 - 2q40 = 8[tex]2\sqrt{5}[/tex] x 20 - 2q40 = 840[tex]\sqrt{5}[/tex] - 2q40 = 8- 2q40 = 8 - 40[tex]\sqrt{5}[/tex]-80q = 8 - 40[tex]\sqrt{5}[/tex] q = (8-40[tex]\sqrt{5}[/tex] ) / -80 = [tex]\frac{-1 + 5\sqrt{5} }{10}[/tex] = 1.018Above given answer is correct.
Find the coordinates of the image of R (2, 1) after the translation (x, y) → (x, y − 5).
Answer:
(2,-4)
Step-by-step explanation:
We subtract 5 to the y-coordinate, so we have (2,-4)
(62.1) x (3.2) = ??
Please help urgent!!!
Answer:
198.72
Step-by-step explanation:
if u remove the brakctes and multiplay both of them by 10 and then multiply (621x32=19872 then u divide it by 100 and u get the answer 198.72
Only thing I need to know is what to do for the x on y = x + 3 and y = x
Answer:
Think of y = mx + b,
With y = x + 3, m = 1 so the slope is one, and b = 3 which is the y-intercept, so plot the point (0,3) on the y-axis.
To find the next point to plot go up 1 and over to the right 1 because slope is rise over run.
With y = x, the slope is still 1, but there is no y-intercept, so you plot the point (0,0), and to find the next point on that line, go up 1 and over the right 1 because m=1
If fx) = 3* + 10x and x) = 4x - 2, find (f+ g)(x).
Answer:
[tex]\boxed {\boxed {\sf B. \ 3^x + 14x-2}}[/tex]
Step-by-step explanation:
We are given 2 functions:
f(x)= 3ˣ + 10x g(x)= 4x-2We are asked to find (f+g)(x) or f(x)+ g(x). Essentially, we are finding the sum of the functions.
[tex](f+g)(x)=f(x)+ g(x)[/tex]
[tex](f+g)(x)=(3^x + 10x) + (4x-2)[/tex]
[tex](f+g)(x)= 3^x + 10x + 4x -2[/tex]
Simplify the expression by combining like terms. There are 2 terms with a variable of x, so they can be added together.
[tex](f+g)(x)= 3^x + ( 10x + 4x) -2[/tex]
[tex](f+g)(x)= 3^x + 14x -2[/tex]
The sum of the functions f(x) and g(x) is 3ˣ + 14x -2 and choice B is correct.
Write a linear equation that goes through the points (-1,-10) and (5,2).
Answer:
y = 2x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 10) and (x₂, y₂ ) = (5, 2)
m = [tex]\frac{2-(-10)}{5-(-1)}[/tex] = [tex]\frac{2+10}{5+1}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (5, 2 ) , then
2 = 10 + c ⇒ c = 2 - 10 = - 8
y = 2x - 8 ← equation of line
